%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : LAT292+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n024.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 : Sun Jul 17 05:45:42 EDT 2022

% Result   : Theorem 176.70s 177.02s
% Output   : CNFRefutation 184.52s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_a_0_0_card_4,type,
    a_0_0_card_4: $i ).

thf(tp_a_0_0_cqc_lang,type,
    a_0_0_cqc_lang: $i ).

thf(tp_a_0_0_fraenkel,type,
    a_0_0_fraenkel: $i ).

thf(tp_a_0_0_numbers,type,
    a_0_0_numbers: $i ).

thf(tp_a_0_0_qc_lang1,type,
    a_0_0_qc_lang1: $i ).

thf(tp_a_0_10_fraenkel,type,
    a_0_10_fraenkel: $i ).

thf(tp_a_0_11_fraenkel,type,
    a_0_11_fraenkel: $i ).

thf(tp_a_0_12_fraenkel,type,
    a_0_12_fraenkel: $i ).

thf(tp_a_0_13_fraenkel,type,
    a_0_13_fraenkel: $i ).

thf(tp_a_0_14_fraenkel,type,
    a_0_14_fraenkel: $i ).

thf(tp_a_0_15_fraenkel,type,
    a_0_15_fraenkel: $i ).

thf(tp_a_0_16_fraenkel,type,
    a_0_16_fraenkel: $i ).

thf(tp_a_0_17_fraenkel,type,
    a_0_17_fraenkel: $i ).

thf(tp_a_0_18_fraenkel,type,
    a_0_18_fraenkel: $i ).

thf(tp_a_0_19_fraenkel,type,
    a_0_19_fraenkel: $i ).

thf(tp_a_0_1_card_4,type,
    a_0_1_card_4: $i ).

thf(tp_a_0_1_fraenkel,type,
    a_0_1_fraenkel: $i ).

thf(tp_a_0_20_fraenkel,type,
    a_0_20_fraenkel: $i ).

thf(tp_a_0_21_fraenkel,type,
    a_0_21_fraenkel: $i ).

thf(tp_a_0_22_fraenkel,type,
    a_0_22_fraenkel: $i ).

thf(tp_a_0_23_fraenkel,type,
    a_0_23_fraenkel: $i ).

thf(tp_a_0_24_fraenkel,type,
    a_0_24_fraenkel: $i ).

thf(tp_a_0_25_fraenkel,type,
    a_0_25_fraenkel: $i ).

thf(tp_a_0_26_fraenkel,type,
    a_0_26_fraenkel: $i ).

thf(tp_a_0_27_fraenkel,type,
    a_0_27_fraenkel: $i ).

thf(tp_a_0_28_fraenkel,type,
    a_0_28_fraenkel: $i ).

thf(tp_a_0_29_fraenkel,type,
    a_0_29_fraenkel: $i ).

thf(tp_a_0_2_card_4,type,
    a_0_2_card_4: $i ).

thf(tp_a_0_2_fraenkel,type,
    a_0_2_fraenkel: $i ).

thf(tp_a_0_30_fraenkel,type,
    a_0_30_fraenkel: $i ).

thf(tp_a_0_31_fraenkel,type,
    a_0_31_fraenkel: $i ).

thf(tp_a_0_32_fraenkel,type,
    a_0_32_fraenkel: $i ).

thf(tp_a_0_33_fraenkel,type,
    a_0_33_fraenkel: $i ).

thf(tp_a_0_34_fraenkel,type,
    a_0_34_fraenkel: $i ).

thf(tp_a_0_35_fraenkel,type,
    a_0_35_fraenkel: $i ).

thf(tp_a_0_36_fraenkel,type,
    a_0_36_fraenkel: $i ).

thf(tp_a_0_37_fraenkel,type,
    a_0_37_fraenkel: $i ).

thf(tp_a_0_38_fraenkel,type,
    a_0_38_fraenkel: $i ).

thf(tp_a_0_39_fraenkel,type,
    a_0_39_fraenkel: $i ).

thf(tp_a_0_3_fraenkel,type,
    a_0_3_fraenkel: $i ).

thf(tp_a_0_40_fraenkel,type,
    a_0_40_fraenkel: $i ).

thf(tp_a_0_4_fraenkel,type,
    a_0_4_fraenkel: $i ).

thf(tp_a_0_5_fraenkel,type,
    a_0_5_fraenkel: $i ).

thf(tp_a_0_6_fraenkel,type,
    a_0_6_fraenkel: $i ).

thf(tp_a_0_7_fraenkel,type,
    a_0_7_fraenkel: $i ).

thf(tp_a_0_8_fraenkel,type,
    a_0_8_fraenkel: $i ).

thf(tp_a_0_9_fraenkel,type,
    a_0_9_fraenkel: $i ).

thf(tp_a_1_0_filter_1,type,
    a_1_0_filter_1: $i > $i ).

thf(tp_a_1_0_finseq_1,type,
    a_1_0_finseq_1: $i > $i ).

thf(tp_a_1_0_grcat_1,type,
    a_1_0_grcat_1: $i > $i ).

thf(tp_a_1_0_group_6,type,
    a_1_0_group_6: $i > $i ).

thf(tp_a_1_0_lopclset,type,
    a_1_0_lopclset: $i > $i ).

thf(tp_a_1_0_qc_lang1,type,
    a_1_0_qc_lang1: $i > $i ).

thf(tp_a_1_1_grcat_1,type,
    a_1_1_grcat_1: $i > $i ).

thf(tp_a_1_1_lopclset,type,
    a_1_1_lopclset: $i > $i ).

thf(tp_a_1_1_qc_lang1,type,
    a_1_1_qc_lang1: $i > $i ).

thf(tp_a_1_2_lopclset,type,
    a_1_2_lopclset: $i > $i ).

thf(tp_a_1_2_qc_lang1,type,
    a_1_2_qc_lang1: $i > $i ).

thf(tp_a_2_0_borsuk_1,type,
    a_2_0_borsuk_1: $i > $i > $i ).

thf(tp_a_2_0_cat_2,type,
    a_2_0_cat_2: $i > $i > $i ).

thf(tp_a_2_0_cqc_lang,type,
    a_2_0_cqc_lang: $i > $i > $i ).

thf(tp_a_2_0_filter_0,type,
    a_2_0_filter_0: $i > $i > $i ).

thf(tp_a_2_0_grcat_1,type,
    a_2_0_grcat_1: $i > $i > $i ).

thf(tp_a_2_0_lattice4,type,
    a_2_0_lattice4: $i > $i > $i ).

thf(tp_a_2_0_lopclset,type,
    a_2_0_lopclset: $i > $i > $i ).

thf(tp_a_2_1_borsuk_1,type,
    a_2_1_borsuk_1: $i > $i > $i ).

thf(tp_a_2_1_cqc_lang,type,
    a_2_1_cqc_lang: $i > $i > $i ).

thf(tp_a_2_1_lattice4,type,
    a_2_1_lattice4: $i > $i > $i ).

thf(tp_a_2_2_borsuk_1,type,
    a_2_2_borsuk_1: $i > $i > $i ).

thf(tp_a_2_3_borsuk_1,type,
    a_2_3_borsuk_1: $i > $i > $i ).

thf(tp_a_3_0_borsuk_1,type,
    a_3_0_borsuk_1: $i > $i > $i > $i ).

thf(tp_a_3_0_cat_1,type,
    a_3_0_cat_1: $i > $i > $i > $i ).

thf(tp_a_3_0_filter_0,type,
    a_3_0_filter_0: $i > $i > $i > $i ).

thf(tp_a_3_0_group_6,type,
    a_3_0_group_6: $i > $i > $i > $i ).

thf(tp_a_3_1_borsuk_1,type,
    a_3_1_borsuk_1: $i > $i > $i > $i ).

thf(tp_a_3_1_filter_0,type,
    a_3_1_filter_0: $i > $i > $i > $i ).

thf(tp_f10_s6_cqc_lang,type,
    f10_s6_cqc_lang: $i > $i > $i ).

thf(tp_f1_s10_fraenkel,type,
    f1_s10_fraenkel: $i ).

thf(tp_f1_s10_funct_2,type,
    f1_s10_funct_2: $i ).

thf(tp_f1_s10_ordinal2,type,
    f1_s10_ordinal2: $i ).

thf(tp_f1_s11_fraenkel,type,
    f1_s11_fraenkel: $i ).

thf(tp_f1_s11_funct_2,type,
    f1_s11_funct_2: $i ).

thf(tp_f1_s11_ordinal2,type,
    f1_s11_ordinal2: $i ).

thf(tp_f1_s12_fraenkel,type,
    f1_s12_fraenkel: $i ).

thf(tp_f1_s12_funct_2,type,
    f1_s12_funct_2: $i ).

thf(tp_f1_s12_ordinal2,type,
    f1_s12_ordinal2: $i ).

thf(tp_f1_s13_fraenkel,type,
    f1_s13_fraenkel: $i ).

thf(tp_f1_s13_funct_2,type,
    f1_s13_funct_2: $i ).

thf(tp_f1_s13_ordinal2,type,
    f1_s13_ordinal2: $i ).

thf(tp_f1_s14_fraenkel,type,
    f1_s14_fraenkel: $i ).

thf(tp_f1_s14_funct_2,type,
    f1_s14_funct_2: $i ).

thf(tp_f1_s14_ordinal2,type,
    f1_s14_ordinal2: $i > $i ).

thf(tp_f1_s15_fraenkel,type,
    f1_s15_fraenkel: $i ).

thf(tp_f1_s15_ordinal2,type,
    f1_s15_ordinal2: $i ).

thf(tp_f1_s16_fraenkel,type,
    f1_s16_fraenkel: $i ).

thf(tp_f1_s16_ordinal2,type,
    f1_s16_ordinal2: $i ).

thf(tp_f1_s17_fraenkel,type,
    f1_s17_fraenkel: $i ).

thf(tp_f1_s18_fraenkel,type,
    f1_s18_fraenkel: $i ).

thf(tp_f1_s19_fraenkel,type,
    f1_s19_fraenkel: $i ).

thf(tp_f1_s1_binop_1,type,
    f1_s1_binop_1: $i ).

thf(tp_f1_s1_binop_2,type,
    f1_s1_binop_2: $i ).

thf(tp_f1_s1_card_4,type,
    f1_s1_card_4: $i > $i ).

thf(tp_f1_s1_eqrel_1,type,
    f1_s1_eqrel_1: $i ).

thf(tp_f1_s1_filter_1,type,
    f1_s1_filter_1: $i ).

thf(tp_f1_s1_finseq_1,type,
    f1_s1_finseq_1: $i ).

thf(tp_f1_s1_finset_1,type,
    f1_s1_finset_1: $i ).

thf(tp_f1_s1_fraenkel,type,
    f1_s1_fraenkel: $i ).

thf(tp_f1_s1_funct_1,type,
    f1_s1_funct_1: $i ).

thf(tp_f1_s1_funct_2,type,
    f1_s1_funct_2: $i ).

thf(tp_f1_s1_funct_3,type,
    f1_s1_funct_3: $i ).

thf(tp_f1_s1_funct_5,type,
    f1_s1_funct_5: $i ).

thf(tp_f1_s1_grcat_1,type,
    f1_s1_grcat_1: $i ).

thf(tp_f1_s1_partfun1,type,
    f1_s1_partfun1: $i ).

thf(tp_f1_s1_relat_1,type,
    f1_s1_relat_1: $i ).

thf(tp_f1_s1_relset_1,type,
    f1_s1_relset_1: $i ).

thf(tp_f1_s1_setwiseo,type,
    f1_s1_setwiseo: $i ).

thf(tp_f1_s1_subset_1,type,
    f1_s1_subset_1: $i ).

thf(tp_f1_s1_tarski,type,
    f1_s1_tarski: $i ).

thf(tp_f1_s1_xboole_0,type,
    f1_s1_xboole_0: $i ).

thf(tp_f1_s20_fraenkel,type,
    f1_s20_fraenkel: $i ).

thf(tp_f1_s21_fraenkel,type,
    f1_s21_fraenkel: $i ).

thf(tp_f1_s22_fraenkel,type,
    f1_s22_fraenkel: $i ).

thf(tp_f1_s23_fraenkel,type,
    f1_s23_fraenkel: $i ).

thf(tp_f1_s24_fraenkel,type,
    f1_s24_fraenkel: $i ).

thf(tp_f1_s25_fraenkel,type,
    f1_s25_fraenkel: $i ).

thf(tp_f1_s26_fraenkel,type,
    f1_s26_fraenkel: $i ).

thf(tp_f1_s27_fraenkel,type,
    f1_s27_fraenkel: $i ).

thf(tp_f1_s2_binop_1,type,
    f1_s2_binop_1: $i ).

thf(tp_f1_s2_binop_2,type,
    f1_s2_binop_2: $i ).

thf(tp_f1_s2_card_4,type,
    f1_s2_card_4: $i > $i > $i ).

thf(tp_f1_s2_cqc_lang,type,
    f1_s2_cqc_lang: $i ).

thf(tp_f1_s2_filter_1,type,
    f1_s2_filter_1: $i ).

thf(tp_f1_s2_finseq_1,type,
    f1_s2_finseq_1: $i ).

thf(tp_f1_s2_finset_1,type,
    f1_s2_finset_1: $i ).

thf(tp_f1_s2_fraenkel,type,
    f1_s2_fraenkel: $i ).

thf(tp_f1_s2_funct_1,type,
    f1_s2_funct_1: $i ).

thf(tp_f1_s2_funct_2,type,
    f1_s2_funct_2: $i ).

thf(tp_f1_s2_funct_3,type,
    f1_s2_funct_3: $i ).

thf(tp_f1_s2_grcat_1,type,
    f1_s2_grcat_1: $i ).

thf(tp_f1_s2_int_1,type,
    f1_s2_int_1: $i ).

thf(tp_f1_s2_ordinal2,type,
    f1_s2_ordinal2: $i ).

thf(tp_f1_s2_partfun1,type,
    f1_s2_partfun1: $i ).

thf(tp_f1_s2_relset_1,type,
    f1_s2_relset_1: $i ).

thf(tp_f1_s2_setwiseo,type,
    f1_s2_setwiseo: $i ).

thf(tp_f1_s2_subset_1,type,
    f1_s2_subset_1: $i ).

thf(tp_f1_s2_xboole_0,type,
    f1_s2_xboole_0: $i ).

thf(tp_f1_s3_card_4,type,
    f1_s3_card_4: $i > $i > $i > $i ).

thf(tp_f1_s3_cqc_lang,type,
    f1_s3_cqc_lang: $i ).

thf(tp_f1_s3_filter_1,type,
    f1_s3_filter_1: $i ).

thf(tp_f1_s3_fraenkel,type,
    f1_s3_fraenkel: $i ).

thf(tp_f1_s3_funct_1,type,
    f1_s3_funct_1: $i ).

thf(tp_f1_s3_funct_2,type,
    f1_s3_funct_2: $i ).

thf(tp_f1_s3_int_1,type,
    f1_s3_int_1: $i ).

thf(tp_f1_s3_ordinal1,type,
    f1_s3_ordinal1: $i ).

thf(tp_f1_s3_ordinal2,type,
    f1_s3_ordinal2: $i ).

thf(tp_f1_s3_partfun1,type,
    f1_s3_partfun1: $i ).

thf(tp_f1_s3_qc_lang1,type,
    f1_s3_qc_lang1: $i ).

thf(tp_f1_s3_setwiseo,type,
    f1_s3_setwiseo: $i ).

thf(tp_f1_s3_subset_1,type,
    f1_s3_subset_1: $i ).

thf(tp_f1_s4_cqc_lang,type,
    f1_s4_cqc_lang: $i ).

thf(tp_f1_s4_filter_1,type,
    f1_s4_filter_1: $i ).

thf(tp_f1_s4_finseq_1,type,
    f1_s4_finseq_1: $i ).

thf(tp_f1_s4_fraenkel,type,
    f1_s4_fraenkel: $i ).

thf(tp_f1_s4_funct_1,type,
    f1_s4_funct_1: $i ).

thf(tp_f1_s4_funct_2,type,
    f1_s4_funct_2: $i ).

thf(tp_f1_s4_int_1,type,
    f1_s4_int_1: $i ).

thf(tp_f1_s4_ordinal1,type,
    f1_s4_ordinal1: $i ).

thf(tp_f1_s4_ordinal2,type,
    f1_s4_ordinal2: $i ).

thf(tp_f1_s4_partfun1,type,
    f1_s4_partfun1: $i ).

thf(tp_f1_s4_setwiseo,type,
    f1_s4_setwiseo: $i ).

thf(tp_f1_s4_subset_1,type,
    f1_s4_subset_1: $i ).

thf(tp_f1_s5_cqc_lang,type,
    f1_s5_cqc_lang: $i ).

thf(tp_f1_s5_filter_1,type,
    f1_s5_filter_1: $i ).

thf(tp_f1_s5_finseq_1,type,
    f1_s5_finseq_1: $i ).

thf(tp_f1_s5_fraenkel,type,
    f1_s5_fraenkel: $i ).

thf(tp_f1_s5_funct_2,type,
    f1_s5_funct_2: $i ).

thf(tp_f1_s5_int_1,type,
    f1_s5_int_1: $i ).

thf(tp_f1_s5_ordinal1,type,
    f1_s5_ordinal1: $i ).

thf(tp_f1_s5_ordinal2,type,
    f1_s5_ordinal2: $i ).

thf(tp_f1_s5_partfun1,type,
    f1_s5_partfun1: $i ).

thf(tp_f1_s6_cqc_lang,type,
    f1_s6_cqc_lang: $i ).

thf(tp_f1_s6_filter_1,type,
    f1_s6_filter_1: $i ).

thf(tp_f1_s6_fraenkel,type,
    f1_s6_fraenkel: $i ).

thf(tp_f1_s6_funct_2,type,
    f1_s6_funct_2: $i ).

thf(tp_f1_s6_int_1,type,
    f1_s6_int_1: $i ).

thf(tp_f1_s6_ordinal2,type,
    f1_s6_ordinal2: $i ).

thf(tp_f1_s7_cqc_lang,type,
    f1_s7_cqc_lang: $i ).

thf(tp_f1_s7_fraenkel,type,
    f1_s7_fraenkel: $i ).

thf(tp_f1_s7_funct_2,type,
    f1_s7_funct_2: $i ).

thf(tp_f1_s7_ordinal2,type,
    f1_s7_ordinal2: $i ).

thf(tp_f1_s8_cqc_lang,type,
    f1_s8_cqc_lang: $i ).

thf(tp_f1_s8_fraenkel,type,
    f1_s8_fraenkel: $i ).

thf(tp_f1_s8_funct_2,type,
    f1_s8_funct_2: $i ).

thf(tp_f1_s8_ordinal2,type,
    f1_s8_ordinal2: $i > $i ).

thf(tp_f1_s9_cqc_lang,type,
    f1_s9_cqc_lang: $i ).

thf(tp_f1_s9_fraenkel,type,
    f1_s9_fraenkel: $i ).

thf(tp_f1_s9_funct_2,type,
    f1_s9_funct_2: $i ).

thf(tp_f1_s9_ordinal2,type,
    f1_s9_ordinal2: $i ).

thf(tp_f2_s10_funct_2,type,
    f2_s10_funct_2: $i ).

thf(tp_f2_s10_ordinal2,type,
    f2_s10_ordinal2: $i ).

thf(tp_f2_s11_fraenkel,type,
    f2_s11_fraenkel: $i ).

thf(tp_f2_s11_funct_2,type,
    f2_s11_funct_2: $i ).

thf(tp_f2_s11_ordinal2,type,
    f2_s11_ordinal2: $i ).

thf(tp_f2_s12_fraenkel,type,
    f2_s12_fraenkel: $i ).

thf(tp_f2_s12_funct_2,type,
    f2_s12_funct_2: $i ).

thf(tp_f2_s12_ordinal2,type,
    f2_s12_ordinal2: $i > $i ).

thf(tp_f2_s13_fraenkel,type,
    f2_s13_fraenkel: $i ).

thf(tp_f2_s13_funct_2,type,
    f2_s13_funct_2: $i ).

thf(tp_f2_s13_ordinal2,type,
    f2_s13_ordinal2: $i ).

thf(tp_f2_s14_fraenkel,type,
    f2_s14_fraenkel: $i > $i ).

thf(tp_f2_s14_funct_2,type,
    f2_s14_funct_2: $i ).

thf(tp_f2_s14_ordinal2,type,
    f2_s14_ordinal2: $i ).

thf(tp_f2_s15_fraenkel,type,
    f2_s15_fraenkel: $i ).

thf(tp_f2_s15_ordinal2,type,
    f2_s15_ordinal2: $i > $i > $i ).

thf(tp_f2_s16_fraenkel,type,
    f2_s16_fraenkel: $i ).

thf(tp_f2_s16_ordinal2,type,
    f2_s16_ordinal2: $i ).

thf(tp_f2_s17_fraenkel,type,
    f2_s17_fraenkel: $i ).

thf(tp_f2_s18_fraenkel,type,
    f2_s18_fraenkel: $i ).

thf(tp_f2_s19_fraenkel,type,
    f2_s19_fraenkel: $i ).

thf(tp_f2_s1_binop_2,type,
    f2_s1_binop_2: $i ).

thf(tp_f2_s1_filter_1,type,
    f2_s1_filter_1: $i ).

thf(tp_f2_s1_finset_1,type,
    f2_s1_finset_1: $i > $i ).

thf(tp_f2_s1_fraenkel,type,
    f2_s1_fraenkel: $i > $i ).

thf(tp_f2_s1_funct_2,type,
    f2_s1_funct_2: $i ).

thf(tp_f2_s1_funct_3,type,
    f2_s1_funct_3: $i ).

thf(tp_f2_s1_funct_5,type,
    f2_s1_funct_5: $i > $i ).

thf(tp_f2_s1_grcat_1,type,
    f2_s1_grcat_1: $i ).

thf(tp_f2_s1_partfun1,type,
    f2_s1_partfun1: $i > $i ).

thf(tp_f2_s1_relat_1,type,
    f2_s1_relat_1: $i ).

thf(tp_f2_s1_relset_1,type,
    f2_s1_relset_1: $i ).

thf(tp_f2_s1_setwiseo,type,
    f2_s1_setwiseo: $i ).

thf(tp_f2_s20_fraenkel,type,
    f2_s20_fraenkel: $i ).

thf(tp_f2_s21_fraenkel,type,
    f2_s21_fraenkel: $i ).

thf(tp_f2_s22_fraenkel,type,
    f2_s22_fraenkel: $i ).

thf(tp_f2_s23_fraenkel,type,
    f2_s23_fraenkel: $i ).

thf(tp_f2_s24_fraenkel,type,
    f2_s24_fraenkel: $i ).

thf(tp_f2_s25_fraenkel,type,
    f2_s25_fraenkel: $i ).

thf(tp_f2_s26_fraenkel,type,
    f2_s26_fraenkel: $i ).

thf(tp_f2_s27_fraenkel,type,
    f2_s27_fraenkel: $i ).

thf(tp_f2_s2_binop_1,type,
    f2_s2_binop_1: $i > $i > $i ).

thf(tp_f2_s2_binop_2,type,
    f2_s2_binop_2: $i > $i > $i ).

thf(tp_f2_s2_cqc_lang,type,
    f2_s2_cqc_lang: $i ).

thf(tp_f2_s2_filter_1,type,
    f2_s2_filter_1: $i ).

thf(tp_f2_s2_finseq_1,type,
    f2_s2_finseq_1: $i > $i ).

thf(tp_f2_s2_fraenkel,type,
    f2_s2_fraenkel: $i ).

thf(tp_f2_s2_funct_2,type,
    f2_s2_funct_2: $i ).

thf(tp_f2_s2_funct_3,type,
    f2_s2_funct_3: $i ).

thf(tp_f2_s2_grcat_1,type,
    f2_s2_grcat_1: $i ).

thf(tp_f2_s2_ordinal2,type,
    f2_s2_ordinal2: $i > $i ).

thf(tp_f2_s2_partfun1,type,
    f2_s2_partfun1: $i ).

thf(tp_f2_s2_relset_1,type,
    f2_s2_relset_1: $i ).

thf(tp_f2_s2_xboole_0,type,
    f2_s2_xboole_0: $i ).

thf(tp_f2_s3_cqc_lang,type,
    f2_s3_cqc_lang: $i ).

thf(tp_f2_s3_filter_1,type,
    f2_s3_filter_1: $i ).

thf(tp_f2_s3_fraenkel,type,
    f2_s3_fraenkel: $i > $i ).

thf(tp_f2_s3_funct_1,type,
    f2_s3_funct_1: $i > $i ).

thf(tp_f2_s3_funct_2,type,
    f2_s3_funct_2: $i ).

thf(tp_f2_s3_ordinal1,type,
    f2_s3_ordinal1: $i > $i ).

thf(tp_f2_s3_ordinal2,type,
    f2_s3_ordinal2: $i > $i ).

thf(tp_f2_s3_partfun1,type,
    f2_s3_partfun1: $i ).

thf(tp_f2_s3_qc_lang1,type,
    f2_s3_qc_lang1: $i ).

thf(tp_f2_s4_cqc_lang,type,
    f2_s4_cqc_lang: $i ).

thf(tp_f2_s4_filter_1,type,
    f2_s4_filter_1: $i ).

thf(tp_f2_s4_fraenkel,type,
    f2_s4_fraenkel: $i ).

thf(tp_f2_s4_funct_1,type,
    f2_s4_funct_1: $i > $i ).

thf(tp_f2_s4_funct_2,type,
    f2_s4_funct_2: $i ).

thf(tp_f2_s4_ordinal1,type,
    f2_s4_ordinal1: $i > $i ).

thf(tp_f2_s4_ordinal2,type,
    f2_s4_ordinal2: $i ).

thf(tp_f2_s4_partfun1,type,
    f2_s4_partfun1: $i ).

thf(tp_f2_s4_subset_1,type,
    f2_s4_subset_1: $i ).

thf(tp_f2_s5_cqc_lang,type,
    f2_s5_cqc_lang: $i > $i ).

thf(tp_f2_s5_filter_1,type,
    f2_s5_filter_1: $i ).

thf(tp_f2_s5_finseq_1,type,
    f2_s5_finseq_1: $i ).

thf(tp_f2_s5_fraenkel,type,
    f2_s5_fraenkel: $i > $i ).

thf(tp_f2_s5_funct_2,type,
    f2_s5_funct_2: $i ).

thf(tp_f2_s5_ordinal1,type,
    f2_s5_ordinal1: $i > $i ).

thf(tp_f2_s5_ordinal2,type,
    f2_s5_ordinal2: $i ).

thf(tp_f2_s5_partfun1,type,
    f2_s5_partfun1: $i ).

thf(tp_f2_s6_cqc_lang,type,
    f2_s6_cqc_lang: $i ).

thf(tp_f2_s6_filter_1,type,
    f2_s6_filter_1: $i ).

thf(tp_f2_s6_fraenkel,type,
    f2_s6_fraenkel: $i > $i ).

thf(tp_f2_s6_funct_2,type,
    f2_s6_funct_2: $i ).

thf(tp_f2_s6_ordinal2,type,
    f2_s6_ordinal2: $i > $i ).

thf(tp_f2_s7_cqc_lang,type,
    f2_s7_cqc_lang: $i > $i ).

thf(tp_f2_s7_fraenkel,type,
    f2_s7_fraenkel: $i ).

thf(tp_f2_s7_funct_2,type,
    f2_s7_funct_2: $i ).

thf(tp_f2_s7_ordinal2,type,
    f2_s7_ordinal2: $i ).

thf(tp_f2_s8_cqc_lang,type,
    f2_s8_cqc_lang: $i > $i ).

thf(tp_f2_s8_fraenkel,type,
    f2_s8_fraenkel: $i ).

thf(tp_f2_s8_funct_2,type,
    f2_s8_funct_2: $i ).

thf(tp_f2_s8_ordinal2,type,
    f2_s8_ordinal2: $i ).

thf(tp_f2_s9_cqc_lang,type,
    f2_s9_cqc_lang: $i > $i ).

thf(tp_f2_s9_fraenkel,type,
    f2_s9_fraenkel: $i ).

thf(tp_f2_s9_funct_2,type,
    f2_s9_funct_2: $i ).

thf(tp_f2_s9_ordinal2,type,
    f2_s9_ordinal2: $i > $i > $i ).

thf(tp_f3_s10_funct_2,type,
    f3_s10_funct_2: $i ).

thf(tp_f3_s10_ordinal2,type,
    f3_s10_ordinal2: $i > $i ).

thf(tp_f3_s11_fraenkel,type,
    f3_s11_fraenkel: $i > $i > $i ).

thf(tp_f3_s11_funct_2,type,
    f3_s11_funct_2: $i ).

thf(tp_f3_s11_ordinal2,type,
    f3_s11_ordinal2: $i > $i > $i ).

thf(tp_f3_s12_fraenkel,type,
    f3_s12_fraenkel: $i > $i > $i ).

thf(tp_f3_s12_funct_2,type,
    f3_s12_funct_2: $i > $i ).

thf(tp_f3_s12_ordinal2,type,
    f3_s12_ordinal2: $i ).

thf(tp_f3_s13_fraenkel,type,
    f3_s13_fraenkel: $i ).

thf(tp_f3_s13_funct_2,type,
    f3_s13_funct_2: $i > $i ).

thf(tp_f3_s13_ordinal2,type,
    f3_s13_ordinal2: $i > $i > $i ).

thf(tp_f3_s14_ordinal2,type,
    f3_s14_ordinal2: $i > $i > $i ).

thf(tp_f3_s15_fraenkel,type,
    f3_s15_fraenkel: $i > $i > $i ).

thf(tp_f3_s15_ordinal2,type,
    f3_s15_ordinal2: $i > $i > $i ).

thf(tp_f3_s16_fraenkel,type,
    f3_s16_fraenkel: $i > $i > $i ).

thf(tp_f3_s16_ordinal2,type,
    f3_s16_ordinal2: $i > $i ).

thf(tp_f3_s17_fraenkel,type,
    f3_s17_fraenkel: $i > $i ).

thf(tp_f3_s18_fraenkel,type,
    f3_s18_fraenkel: $i > $i ).

thf(tp_f3_s19_fraenkel,type,
    f3_s19_fraenkel: $i > $i > $i ).

thf(tp_f3_s1_binop_2,type,
    f3_s1_binop_2: $i > $i ).

thf(tp_f3_s1_finset_1,type,
    f3_s1_finset_1: $i > $i ).

thf(tp_f3_s1_grcat_1,type,
    f3_s1_grcat_1: $i ).

thf(tp_f3_s1_partfun1,type,
    f3_s1_partfun1: $i > $i ).

thf(tp_f3_s20_fraenkel,type,
    f3_s20_fraenkel: $i > $i > $i ).

thf(tp_f3_s21_fraenkel,type,
    f3_s21_fraenkel: $i > $i ).

thf(tp_f3_s22_fraenkel,type,
    f3_s22_fraenkel: $i ).

thf(tp_f3_s24_fraenkel,type,
    f3_s24_fraenkel: $i ).

thf(tp_f3_s25_fraenkel,type,
    f3_s25_fraenkel: $i ).

thf(tp_f3_s26_fraenkel,type,
    f3_s26_fraenkel: $i ).

thf(tp_f3_s27_fraenkel,type,
    f3_s27_fraenkel: $i ).

thf(tp_f3_s2_cqc_lang,type,
    f3_s2_cqc_lang: $i > $i > $i > $i ).

thf(tp_f3_s2_fraenkel,type,
    f3_s2_fraenkel: $i > $i > $i ).

thf(tp_f3_s2_funct_2,type,
    f3_s2_funct_2: $i > $i ).

thf(tp_f3_s2_funct_3,type,
    f3_s2_funct_3: $i > $i > $i ).

thf(tp_f3_s2_grcat_1,type,
    f3_s2_grcat_1: $i ).

thf(tp_f3_s3_cqc_lang,type,
    f3_s3_cqc_lang: $i ).

thf(tp_f3_s3_ordinal1,type,
    f3_s3_ordinal1: $i ).

thf(tp_f3_s3_partfun1,type,
    f3_s3_partfun1: $i > $i ).

thf(tp_f3_s3_qc_lang1,type,
    f3_s3_qc_lang1: $i > $i ).

thf(tp_f3_s4_cqc_lang,type,
    f3_s4_cqc_lang: $i ).

thf(tp_f3_s4_fraenkel,type,
    f3_s4_fraenkel: $i > $i > $i ).

thf(tp_f3_s4_funct_2,type,
    f3_s4_funct_2: $i > $i ).

thf(tp_f3_s4_ordinal2,type,
    f3_s4_ordinal2: $i > $i > $i ).

thf(tp_f3_s4_partfun1,type,
    f3_s4_partfun1: $i ).

thf(tp_f3_s4_subset_1,type,
    f3_s4_subset_1: $i ).

thf(tp_f3_s5_cqc_lang,type,
    f3_s5_cqc_lang: $i ).

thf(tp_f3_s5_fraenkel,type,
    f3_s5_fraenkel: $i > $i ).

thf(tp_f3_s5_funct_2,type,
    f3_s5_funct_2: $i ).

thf(tp_f3_s5_ordinal1,type,
    f3_s5_ordinal1: $i > $i ).

thf(tp_f3_s5_ordinal2,type,
    f3_s5_ordinal2: $i > $i > $i ).

thf(tp_f3_s5_partfun1,type,
    f3_s5_partfun1: $i ).

thf(tp_f3_s6_cqc_lang,type,
    f3_s6_cqc_lang: $i > $i ).

thf(tp_f3_s6_fraenkel,type,
    f3_s6_fraenkel: $i > $i ).

thf(tp_f3_s6_funct_2,type,
    f3_s6_funct_2: $i ).

thf(tp_f3_s6_ordinal2,type,
    f3_s6_ordinal2: $i ).

thf(tp_f3_s7_cqc_lang,type,
    f3_s7_cqc_lang: $i ).

thf(tp_f3_s7_fraenkel,type,
    f3_s7_fraenkel: $i > $i > $i ).

thf(tp_f3_s7_funct_2,type,
    f3_s7_funct_2: $i ).

thf(tp_f3_s7_ordinal2,type,
    f3_s7_ordinal2: $i > $i > $i ).

thf(tp_f3_s8_cqc_lang,type,
    f3_s8_cqc_lang: $i ).

thf(tp_f3_s8_fraenkel,type,
    f3_s8_fraenkel: $i > $i > $i ).

thf(tp_f3_s8_funct_2,type,
    f3_s8_funct_2: $i ).

thf(tp_f3_s8_ordinal2,type,
    f3_s8_ordinal2: $i > $i > $i ).

thf(tp_f3_s9_cqc_lang,type,
    f3_s9_cqc_lang: $i ).

thf(tp_f3_s9_fraenkel,type,
    f3_s9_fraenkel: $i ).

thf(tp_f3_s9_funct_2,type,
    f3_s9_funct_2: $i > $i ).

thf(tp_f3_s9_ordinal2,type,
    f3_s9_ordinal2: $i > $i > $i ).

thf(tp_f4_s10_funct_2,type,
    f4_s10_funct_2: $i ).

thf(tp_f4_s10_ordinal2,type,
    f4_s10_ordinal2: $i ).

thf(tp_f4_s11_funct_2,type,
    f4_s11_funct_2: $i ).

thf(tp_f4_s11_ordinal2,type,
    f4_s11_ordinal2: $i > $i > $i ).

thf(tp_f4_s12_ordinal2,type,
    f4_s12_ordinal2: $i ).

thf(tp_f4_s13_fraenkel,type,
    f4_s13_fraenkel: $i > $i > $i ).

thf(tp_f4_s13_ordinal2,type,
    f4_s13_ordinal2: $i > $i > $i ).

thf(tp_f4_s14_ordinal2,type,
    f4_s14_ordinal2: $i > $i > $i ).

thf(tp_f4_s15_ordinal2,type,
    f4_s15_ordinal2: $i > $i ).

thf(tp_f4_s16_ordinal2,type,
    f4_s16_ordinal2: $i ).

thf(tp_f4_s19_fraenkel,type,
    f4_s19_fraenkel: $i ).

thf(tp_f4_s1_grcat_1,type,
    f4_s1_grcat_1: $i > $i > $i ).

thf(tp_f4_s20_fraenkel,type,
    f4_s20_fraenkel: $i ).

thf(tp_f4_s22_fraenkel,type,
    f4_s22_fraenkel: $i ).

thf(tp_f4_s24_fraenkel,type,
    f4_s24_fraenkel: $i > $i ).

thf(tp_f4_s25_fraenkel,type,
    f4_s25_fraenkel: $i ).

thf(tp_f4_s2_cqc_lang,type,
    f4_s2_cqc_lang: $i > $i ).

thf(tp_f4_s2_grcat_1,type,
    f4_s2_grcat_1: $i > $i > $i ).

thf(tp_f4_s3_cqc_lang,type,
    f4_s3_cqc_lang: $i ).

thf(tp_f4_s3_ordinal1,type,
    f4_s3_ordinal1: $i ).

thf(tp_f4_s3_qc_lang1,type,
    f4_s3_qc_lang1: $i > $i ).

thf(tp_f4_s4_cqc_lang,type,
    f4_s4_cqc_lang: $i > $i > $i > $i ).

thf(tp_f4_s4_ordinal2,type,
    f4_s4_ordinal2: $i > $i > $i ).

thf(tp_f4_s5_cqc_lang,type,
    f4_s5_cqc_lang: $i > $i > $i > $i ).

thf(tp_f4_s5_ordinal2,type,
    f4_s5_ordinal2: $i > $i > $i ).

thf(tp_f4_s5_partfun1,type,
    f4_s5_partfun1: $i > $i > $i ).

thf(tp_f4_s6_cqc_lang,type,
    f4_s6_cqc_lang: $i > $i > $i > $i ).

thf(tp_f4_s6_funct_2,type,
    f4_s6_funct_2: $i > $i > $i ).

thf(tp_f4_s6_ordinal2,type,
    f4_s6_ordinal2: $i ).

thf(tp_f4_s7_cqc_lang,type,
    f4_s7_cqc_lang: $i > $i > $i > $i ).

thf(tp_f4_s7_fraenkel,type,
    f4_s7_fraenkel: $i > $i > $i ).

thf(tp_f4_s7_ordinal2,type,
    f4_s7_ordinal2: $i > $i > $i ).

thf(tp_f4_s8_cqc_lang,type,
    f4_s8_cqc_lang: $i > $i > $i > $i ).

thf(tp_f4_s8_funct_2,type,
    f4_s8_funct_2: $i > $i > $i ).

thf(tp_f4_s8_ordinal2,type,
    f4_s8_ordinal2: $i > $i > $i ).

thf(tp_f4_s9_cqc_lang,type,
    f4_s9_cqc_lang: $i > $i > $i > $i ).

thf(tp_f4_s9_fraenkel,type,
    f4_s9_fraenkel: $i ).

thf(tp_f4_s9_funct_2,type,
    f4_s9_funct_2: $i > $i ).

thf(tp_f4_s9_ordinal2,type,
    f4_s9_ordinal2: $i > $i ).

thf(tp_f5_s10_funct_2,type,
    f5_s10_funct_2: $i > $i ).

thf(tp_f5_s10_ordinal2,type,
    f5_s10_ordinal2: $i > $i > $i ).

thf(tp_f5_s11_funct_2,type,
    f5_s11_funct_2: $i ).

thf(tp_f5_s12_ordinal2,type,
    f5_s12_ordinal2: $i > $i > $i ).

thf(tp_f5_s16_ordinal2,type,
    f5_s16_ordinal2: $i > $i > $i ).

thf(tp_f5_s22_fraenkel,type,
    f5_s22_fraenkel: $i > $i > $i ).

thf(tp_f5_s25_fraenkel,type,
    f5_s25_fraenkel: $i > $i ).

thf(tp_f5_s2_cqc_lang,type,
    f5_s2_cqc_lang: $i > $i > $i ).

thf(tp_f5_s3_cqc_lang,type,
    f5_s3_cqc_lang: $i > $i > $i > $i ).

thf(tp_f5_s3_qc_lang1,type,
    f5_s3_qc_lang1: $i > $i > $i ).

thf(tp_f5_s4_cqc_lang,type,
    f5_s4_cqc_lang: $i > $i ).

thf(tp_f5_s4_ordinal2,type,
    f5_s4_ordinal2: $i ).

thf(tp_f5_s5_cqc_lang,type,
    f5_s5_cqc_lang: $i > $i ).

thf(tp_f5_s6_cqc_lang,type,
    f5_s6_cqc_lang: $i ).

thf(tp_f5_s6_ordinal2,type,
    f5_s6_ordinal2: $i > $i > $i ).

thf(tp_f5_s7_cqc_lang,type,
    f5_s7_cqc_lang: $i > $i ).

thf(tp_f5_s8_cqc_lang,type,
    f5_s8_cqc_lang: $i > $i ).

thf(tp_f5_s9_cqc_lang,type,
    f5_s9_cqc_lang: $i > $i ).

thf(tp_f5_s9_fraenkel,type,
    f5_s9_fraenkel: $i ).

thf(tp_f6_s10_ordinal2,type,
    f6_s10_ordinal2: $i > $i > $i ).

thf(tp_f6_s11_funct_2,type,
    f6_s11_funct_2: $i ).

thf(tp_f6_s12_ordinal2,type,
    f6_s12_ordinal2: $i > $i > $i ).

thf(tp_f6_s16_ordinal2,type,
    f6_s16_ordinal2: $i > $i > $i ).

thf(tp_f6_s2_cqc_lang,type,
    f6_s2_cqc_lang: $i > $i > $i ).

thf(tp_f6_s3_cqc_lang,type,
    f6_s3_cqc_lang: $i > $i ).

thf(tp_f6_s3_qc_lang1,type,
    f6_s3_qc_lang1: $i > $i > $i ).

thf(tp_f6_s4_cqc_lang,type,
    f6_s4_cqc_lang: $i > $i > $i ).

thf(tp_f6_s4_ordinal2,type,
    f6_s4_ordinal2: $i ).

thf(tp_f6_s5_cqc_lang,type,
    f6_s5_cqc_lang: $i > $i > $i ).

thf(tp_f6_s6_cqc_lang,type,
    f6_s6_cqc_lang: $i ).

thf(tp_f6_s6_ordinal2,type,
    f6_s6_ordinal2: $i > $i > $i ).

thf(tp_f6_s7_cqc_lang,type,
    f6_s7_cqc_lang: $i ).

thf(tp_f6_s8_cqc_lang,type,
    f6_s8_cqc_lang: $i > $i > $i ).

thf(tp_f6_s9_cqc_lang,type,
    f6_s9_cqc_lang: $i > $i > $i ).

thf(tp_f7_s11_funct_2,type,
    f7_s11_funct_2: $i > $i ).

thf(tp_f7_s3_cqc_lang,type,
    f7_s3_cqc_lang: $i > $i > $i ).

thf(tp_f7_s4_cqc_lang,type,
    f7_s4_cqc_lang: $i > $i > $i ).

thf(tp_f7_s5_cqc_lang,type,
    f7_s5_cqc_lang: $i > $i > $i ).

thf(tp_f7_s6_cqc_lang,type,
    f7_s6_cqc_lang: $i ).

thf(tp_f7_s7_cqc_lang,type,
    f7_s7_cqc_lang: $i > $i > $i ).

thf(tp_f7_s8_cqc_lang,type,
    f7_s8_cqc_lang: $i ).

thf(tp_f7_s9_cqc_lang,type,
    f7_s9_cqc_lang: $i > $i > $i ).

thf(tp_f8_s3_cqc_lang,type,
    f8_s3_cqc_lang: $i > $i > $i ).

thf(tp_f8_s6_cqc_lang,type,
    f8_s6_cqc_lang: $i > $i ).

thf(tp_f8_s7_cqc_lang,type,
    f8_s7_cqc_lang: $i > $i > $i ).

thf(tp_f8_s8_cqc_lang,type,
    f8_s8_cqc_lang: $i ).

thf(tp_f8_s9_cqc_lang,type,
    f8_s9_cqc_lang: $i ).

thf(tp_f9_s6_cqc_lang,type,
    f9_s6_cqc_lang: $i > $i > $i ).

thf(tp_f9_s8_cqc_lang,type,
    f9_s8_cqc_lang: $i > $i > $i ).

thf(tp_f9_s9_cqc_lang,type,
    f9_s9_cqc_lang: $i ).

thf(tp_g1_cat_1,type,
    g1_cat_1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_g1_grcat_1,type,
    g1_grcat_1: $i > $i > $i > $i ).

thf(tp_g1_group_1,type,
    g1_group_1: $i > $i > $i ).

thf(tp_g1_lattices,type,
    g1_lattices: $i > $i > $i ).

thf(tp_g1_pre_topc,type,
    g1_pre_topc: $i > $i > $i ).

thf(tp_g1_rlvect_1,type,
    g1_rlvect_1: $i > $i > $i > $i ).

thf(tp_g1_struct_0,type,
    g1_struct_0: $i > $i ).

thf(tp_g1_vectsp_1,type,
    g1_vectsp_1: $i > $i > $i > $i ).

thf(tp_g2_lattices,type,
    g2_lattices: $i > $i > $i ).

thf(tp_g2_rlvect_1,type,
    g2_rlvect_1: $i > $i > $i > $i > $i ).

thf(tp_g2_struct_0,type,
    g2_struct_0: $i > $i > $i ).

thf(tp_g2_vectsp_1,type,
    g2_vectsp_1: $i > $i > $i > $i > $i ).

thf(tp_g3_lattices,type,
    g3_lattices: $i > $i > $i > $i ).

thf(tp_g3_vectsp_1,type,
    g3_vectsp_1: $i > $i > $i > $i > $i > $i ).

thf(tp_g4_vectsp_1,type,
    g4_vectsp_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k10_binop_2,type,
    k10_binop_2: $i > $i > $i ).

thf(tp_k10_borsuk_1,type,
    k10_borsuk_1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k10_cat_1,type,
    k10_cat_1: $i > $i > $i ).

thf(tp_k10_cat_2,type,
    k10_cat_2: $i > $i > $i > $i > $i ).

thf(tp_k10_classes2,type,
    k10_classes2: $i > $i > $i > $i ).

thf(tp_k10_cqc_lang,type,
    k10_cqc_lang: $i > $i ).

thf(tp_k10_filter_0,type,
    k10_filter_0: $i > $i > $i ).

thf(tp_k10_filter_1,type,
    k10_filter_1: $i > $i > $i > $i > $i ).

thf(tp_k10_finseq_1,type,
    k10_finseq_1: $i > $i > $i ).

thf(tp_k10_funct_3,type,
    k10_funct_3: $i > $i > $i ).

thf(tp_k10_grcat_1,type,
    k10_grcat_1: $i > $i ).

thf(tp_k10_group_1,type,
    k10_group_1: $i > $i > $i > $i ).

thf(tp_k10_group_2,type,
    k10_group_2: $i > $i > $i > $i ).

thf(tp_k10_group_6,type,
    k10_group_6: $i > $i > $i ).

thf(tp_k10_lopclset,type,
    k10_lopclset: $i > $i ).

thf(tp_k10_mcart_1,type,
    k10_mcart_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k10_ordinal2,type,
    k10_ordinal2: $i > $i ).

thf(tp_k10_pboole,type,
    k10_pboole: $i > $i > $i ).

thf(tp_k10_qc_lang1,type,
    k10_qc_lang1: $i > $i ).

thf(tp_k10_qc_lang2,type,
    k10_qc_lang2: $i > $i ).

thf(tp_k10_relat_1,type,
    k10_relat_1: $i > $i > $i ).

thf(tp_k10_relset_1,type,
    k10_relset_1: $i > $i > $i > $i > $i ).

thf(tp_k10_setwiseo,type,
    k10_setwiseo: $i > $i > $i > $i > $i ).

thf(tp_k11_binop_2,type,
    k11_binop_2: $i > $i > $i ).

thf(tp_k11_borsuk_1,type,
    k11_borsuk_1: $i > $i > $i > $i ).

thf(tp_k11_cat_1,type,
    k11_cat_1: $i > $i > $i > $i > $i ).

thf(tp_k11_cat_2,type,
    k11_cat_2: $i > $i > $i ).

thf(tp_k11_classes2,type,
    k11_classes2: $i > $i > $i > $i ).

thf(tp_k11_cqc_lang,type,
    k11_cqc_lang: $i > $i > $i ).

thf(tp_k11_filter_0,type,
    k11_filter_0: $i > $i > $i ).

thf(tp_k11_finseq_1,type,
    k11_finseq_1: $i > $i > $i > $i ).

thf(tp_k11_funct_3,type,
    k11_funct_3: $i > $i ).

thf(tp_k11_grcat_1,type,
    k11_grcat_1: $i > $i ).

thf(tp_k11_group_2,type,
    k11_group_2: $i > $i > $i > $i ).

thf(tp_k11_group_6,type,
    k11_group_6: $i > $i > $i ).

thf(tp_k11_lopclset,type,
    k11_lopclset: $i > $i ).

thf(tp_k11_mcart_1,type,
    k11_mcart_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k11_ordinal2,type,
    k11_ordinal2: $i > $i ).

thf(tp_k11_qc_lang1,type,
    k11_qc_lang1: $i ).

thf(tp_k11_qc_lang2,type,
    k11_qc_lang2: $i > $i ).

thf(tp_k11_relset_1,type,
    k11_relset_1: $i > $i > $i > $i > $i ).

thf(tp_k11_setwiseo,type,
    k11_setwiseo: $i > $i ).

thf(tp_k12_binop_2,type,
    k12_binop_2: $i > $i > $i ).

thf(tp_k12_borsuk_1,type,
    k12_borsuk_1: $i > $i > $i ).

thf(tp_k12_cat_1,type,
    k12_cat_1: $i > $i > $i > $i ).

thf(tp_k12_cat_2,type,
    k12_cat_2: $i > $i > $i > $i > $i ).

thf(tp_k12_classes2,type,
    k12_classes2: $i > $i > $i > $i ).

thf(tp_k12_cqc_lang,type,
    k12_cqc_lang: $i > $i > $i ).

thf(tp_k12_filter_0,type,
    k12_filter_0: $i > $i > $i ).

thf(tp_k12_finseq_1,type,
    k12_finseq_1: $i > $i > $i ).

thf(tp_k12_funct_3,type,
    k12_funct_3: $i > $i ).

thf(tp_k12_grcat_1,type,
    k12_grcat_1: $i > $i > $i ).

thf(tp_k12_group_2,type,
    k12_group_2: $i > $i > $i > $i ).

thf(tp_k12_group_6,type,
    k12_group_6: $i > $i > $i > $i ).

thf(tp_k12_lopclset,type,
    k12_lopclset: $i > $i ).

thf(tp_k12_mcart_1,type,
    k12_mcart_1: $i > $i > $i > $i > $i ).

thf(tp_k12_ordinal2,type,
    k12_ordinal2: $i > $i ).

thf(tp_k12_qc_lang1,type,
    k12_qc_lang1: $i > $i ).

thf(tp_k12_qc_lang2,type,
    k12_qc_lang2: $i > $i ).

thf(tp_k13_arytm_3,type,
    k13_arytm_3: $i ).

thf(tp_k13_binop_2,type,
    k13_binop_2: $i > $i ).

thf(tp_k13_borsuk_1,type,
    k13_borsuk_1: $i > $i > $i ).

thf(tp_k13_cat_1,type,
    k13_cat_1: $i > $i > $i > $i > $i ).

thf(tp_k13_cat_2,type,
    k13_cat_2: $i > $i > $i > $i > $i ).

thf(tp_k13_classes2,type,
    k13_classes2: $i ).

thf(tp_k13_cqc_lang,type,
    k13_cqc_lang: $i > $i > $i ).

thf(tp_k13_finseq_1,type,
    k13_finseq_1: $i > $i ).

thf(tp_k13_funct_3,type,
    k13_funct_3: $i > $i > $i ).

thf(tp_k13_grcat_1,type,
    k13_grcat_1: $i > $i ).

thf(tp_k13_group_2,type,
    k13_group_2: $i > $i > $i > $i ).

thf(tp_k13_group_6,type,
    k13_group_6: $i > $i > $i > $i ).

thf(tp_k13_lopclset,type,
    k13_lopclset: $i > $i ).

thf(tp_k13_mcart_1,type,
    k13_mcart_1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k13_ordinal2,type,
    k13_ordinal2: $i > $i > $i ).

thf(tp_k13_qc_lang1,type,
    k13_qc_lang1: $i > $i > $i ).

thf(tp_k13_qc_lang2,type,
    k13_qc_lang2: $i > $i ).

thf(tp_k14_binop_2,type,
    k14_binop_2: $i > $i ).

thf(tp_k14_borsuk_1,type,
    k14_borsuk_1: $i > $i > $i > $i > $i ).

thf(tp_k14_cat_1,type,
    k14_cat_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k14_cat_2,type,
    k14_cat_2: $i > $i > $i > $i > $i > $i ).

thf(tp_k14_classes2,type,
    k14_classes2: $i ).

thf(tp_k14_cqc_lang,type,
    k14_cqc_lang: $i > $i > $i ).

thf(tp_k14_finseq_1,type,
    k14_finseq_1: $i > $i ).

thf(tp_k14_funct_3,type,
    k14_funct_3: $i > $i > $i > $i > $i > $i ).

thf(tp_k14_grcat_1,type,
    k14_grcat_1: $i > $i > $i ).

thf(tp_k14_group_2,type,
    k14_group_2: $i > $i > $i ).

thf(tp_k14_mcart_1,type,
    k14_mcart_1: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k14_ordinal2,type,
    k14_ordinal2: $i > $i > $i ).

thf(tp_k14_qc_lang1,type,
    k14_qc_lang1: $i > $i > $i ).

thf(tp_k14_qc_lang2,type,
    k14_qc_lang2: $i > $i ).

thf(tp_k15_binop_2,type,
    k15_binop_2: $i > $i > $i ).

thf(tp_k15_borsuk_1,type,
    k15_borsuk_1: $i > $i ).

thf(tp_k15_cat_1,type,
    k15_cat_1: $i > $i ).

thf(tp_k15_cat_2,type,
    k15_cat_2: $i > $i > $i > $i > $i > $i ).

thf(tp_k15_classes2,type,
    k15_classes2: $i > $i ).

thf(tp_k15_cqc_lang,type,
    k15_cqc_lang: $i > $i > $i ).

thf(tp_k15_finseq_1,type,
    k15_finseq_1: $i > $i ).

thf(tp_k15_funct_3,type,
    k15_funct_3: $i > $i > $i ).

thf(tp_k15_grcat_1,type,
    k15_grcat_1: $i > $i > $i ).

thf(tp_k15_group_2,type,
    k15_group_2: $i > $i > $i ).

thf(tp_k15_mcart_1,type,
    k15_mcart_1: $i > $i ).

thf(tp_k15_ordinal2,type,
    k15_ordinal2: $i > $i > $i ).

thf(tp_k15_qc_lang1,type,
    k15_qc_lang1: $i > $i ).

thf(tp_k15_qc_lang2,type,
    k15_qc_lang2: $i > $i ).

thf(tp_k15_rvsum_1,type,
    k15_rvsum_1: $i > $i ).

thf(tp_k16_binop_2,type,
    k16_binop_2: $i > $i > $i ).

thf(tp_k16_borsuk_1,type,
    k16_borsuk_1: $i > $i > $i ).

thf(tp_k16_cat_1,type,
    k16_cat_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k16_cat_2,type,
    k16_cat_2: $i > $i > $i ).

thf(tp_k16_classes2,type,
    k16_classes2: $i > $i ).

thf(tp_k16_cqc_lang,type,
    k16_cqc_lang: $i > $i > $i ).

thf(tp_k16_finseq_1,type,
    k16_finseq_1: $i > $i > $i > $i ).

thf(tp_k16_funct_3,type,
    k16_funct_3: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k16_grcat_1,type,
    k16_grcat_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k16_group_2,type,
    k16_group_2: $i > $i > $i ).

thf(tp_k16_mcart_1,type,
    k16_mcart_1: $i > $i ).

thf(tp_k16_ordinal2,type,
    k16_ordinal2: $i > $i > $i ).

thf(tp_k16_qc_lang1,type,
    k16_qc_lang1: $i > $i ).

thf(tp_k17_binop_2,type,
    k17_binop_2: $i > $i > $i ).

thf(tp_k17_borsuk_1,type,
    k17_borsuk_1: $i > $i > $i ).

thf(tp_k17_cat_2,type,
    k17_cat_2: $i > $i > $i ).

thf(tp_k17_cqc_lang,type,
    k17_cqc_lang: $i > $i > $i ).

thf(tp_k17_finseq_1,type,
    k17_finseq_1: $i > $i ).

thf(tp_k17_grcat_1,type,
    k17_grcat_1: $i > $i > $i ).

thf(tp_k17_group_2,type,
    k17_group_2: $i > $i > $i ).

thf(tp_k17_mcart_1,type,
    k17_mcart_1: $i > $i ).

thf(tp_k17_qc_lang1,type,
    k17_qc_lang1: $i > $i ).

thf(tp_k18_binop_2,type,
    k18_binop_2: $i > $i > $i ).

thf(tp_k18_borsuk_1,type,
    k18_borsuk_1: $i > $i > $i > $i ).

thf(tp_k18_cat_2,type,
    k18_cat_2: $i > $i > $i > $i > $i > $i ).

thf(tp_k18_grcat_1,type,
    k18_grcat_1: $i > $i > $i ).

thf(tp_k18_mcart_1,type,
    k18_mcart_1: $i > $i ).

thf(tp_k18_qc_lang1,type,
    k18_qc_lang1: $i > $i ).

thf(tp_k19_binop_2,type,
    k19_binop_2: $i > $i ).

thf(tp_k19_borsuk_1,type,
    k19_borsuk_1: $i > $i > $i > $i ).

thf(tp_k19_cat_2,type,
    k19_cat_2: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k19_grcat_1,type,
    k19_grcat_1: $i > $i ).

thf(tp_k19_mcart_1,type,
    k19_mcart_1: $i > $i ).

thf(tp_k19_qc_lang1,type,
    k19_qc_lang1: $i > $i ).

thf(tp_k1_algstr_1,type,
    k1_algstr_1: $i > $i ).

thf(tp_k1_binop_1,type,
    k1_binop_1: $i > $i > $i > $i ).

thf(tp_k1_binop_2,type,
    k1_binop_2: $i > $i ).

thf(tp_k1_borsuk_1,type,
    k1_borsuk_1: $i > $i > $i > $i ).

thf(tp_k1_card_1,type,
    k1_card_1: $i > $i ).

thf(tp_k1_card_2,type,
    k1_card_2: $i > $i > $i ).

thf(tp_k1_card_4,type,
    k1_card_4: $i > $i > $i ).

thf(tp_k1_cat_1,type,
    k1_cat_1: $i > $i > $i > $i ).

thf(tp_k1_cat_2,type,
    k1_cat_2: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k1_classes1,type,
    k1_classes1: $i > $i ).

thf(tp_k1_classes2,type,
    k1_classes2: $i > $i > $i ).

thf(tp_k1_cqc_lang,type,
    k1_cqc_lang: $i > $i > $i > $i > $i ).

thf(tp_k1_domain_1,type,
    k1_domain_1: $i > $i > $i > $i > $i ).

thf(tp_k1_enumset1,type,
    k1_enumset1: $i > $i > $i > $i ).

thf(tp_k1_eqrel_1,type,
    k1_eqrel_1: $i > $i ).

thf(tp_k1_filter_0,type,
    k1_filter_0: $i > $i ).

thf(tp_k1_filter_1,type,
    k1_filter_1: $i > $i > $i > $i ).

thf(tp_k1_finseq_1,type,
    k1_finseq_1: $i > $i ).

thf(tp_k1_finsub_1,type,
    k1_finsub_1: $i > $i > $i > $i ).

thf(tp_k1_fraenkel,type,
    k1_fraenkel: $i > $i > $i ).

thf(tp_k1_funct_1,type,
    k1_funct_1: $i > $i > $i ).

thf(tp_k1_funct_2,type,
    k1_funct_2: $i > $i > $i ).

thf(tp_k1_funct_3,type,
    k1_funct_3: $i > $i ).

thf(tp_k1_funct_4,type,
    k1_funct_4: $i > $i > $i ).

thf(tp_k1_funct_5,type,
    k1_funct_5: $i > $i ).

thf(tp_k1_grcat_1,type,
    k1_grcat_1: $i > $i > $i ).

thf(tp_k1_group_1,type,
    k1_group_1: $i > $i > $i > $i ).

thf(tp_k1_group_6,type,
    k1_group_6: $i > $i > $i > $i ).

thf(tp_k1_int_1,type,
    k1_int_1: $i > $i ).

thf(tp_k1_int_2,type,
    k1_int_2: $i > $i ).

thf(tp_k1_lattice2,type,
    k1_lattice2: $i > $i ).

thf(tp_k1_lattice4,type,
    k1_lattice4: $i > $i > $i ).

thf(tp_k1_lattices,type,
    k1_lattices: $i > $i > $i > $i ).

thf(tp_k1_lopclset,type,
    k1_lopclset: $i > $i ).

thf(tp_k1_mcart_1,type,
    k1_mcart_1: $i > $i ).

thf(tp_k1_nat_1,type,
    k1_nat_1: $i > $i > $i ).

thf(tp_k1_numbers,type,
    k1_numbers: $i ).

thf(tp_k1_ordinal1,type,
    k1_ordinal1: $i > $i ).

thf(tp_k1_ordinal2,type,
    k1_ordinal2: $i > $i ).

thf(tp_k1_partfun1,type,
    k1_partfun1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k1_pcomps_1,type,
    k1_pcomps_1: $i > $i ).

thf(tp_k1_pre_topc,type,
    k1_pre_topc: $i > $i ).

thf(tp_k1_qc_lang1,type,
    k1_qc_lang1: $i ).

thf(tp_k1_qc_lang2,type,
    k1_qc_lang2: $i ).

thf(tp_k1_rcomp_1,type,
    k1_rcomp_1: $i > $i > $i ).

thf(tp_k1_real_1,type,
    k1_real_1: $i > $i ).

thf(tp_k1_realset1,type,
    k1_realset1: $i > $i > $i ).

thf(tp_k1_realset2,type,
    k1_realset2: $i > $i > $i > $i > $i > $i ).

thf(tp_k1_relat_1,type,
    k1_relat_1: $i > $i ).

thf(tp_k1_relset_1,type,
    k1_relset_1: $i > $i > $i > $i > $i ).

thf(tp_k1_rfinseq,type,
    k1_rfinseq: $i > $i > $i > $i ).

thf(tp_k1_rlvect_1,type,
    k1_rlvect_1: $i > $i ).

thf(tp_k1_setfam_1,type,
    k1_setfam_1: $i > $i ).

thf(tp_k1_setwiseo,type,
    k1_setwiseo: $i > $i ).

thf(tp_k1_struct_0,type,
    k1_struct_0: $i > $i > $i ).

thf(tp_k1_subset_1,type,
    k1_subset_1: $i > $i ).

thf(tp_k1_tarski,type,
    k1_tarski: $i > $i ).

thf(tp_k1_tops_1,type,
    k1_tops_1: $i > $i > $i ).

thf(tp_k1_vectsp_1,type,
    k1_vectsp_1: $i ).

thf(tp_k1_xboole_0,type,
    k1_xboole_0: $i ).

thf(tp_k1_zfmisc_1,type,
    k1_zfmisc_1: $i > $i ).

thf(tp_k20_binop_2,type,
    k20_binop_2: $i > $i > $i ).

thf(tp_k20_borsuk_1,type,
    k20_borsuk_1: $i > $i > $i > $i ).

thf(tp_k20_grcat_1,type,
    k20_grcat_1: $i > $i ).

thf(tp_k20_mcart_1,type,
    k20_mcart_1: $i > $i ).

thf(tp_k20_qc_lang1,type,
    k20_qc_lang1: $i > $i ).

thf(tp_k21_binop_2,type,
    k21_binop_2: $i > $i > $i ).

thf(tp_k21_borsuk_1,type,
    k21_borsuk_1: $i > $i > $i > $i ).

thf(tp_k21_grcat_1,type,
    k21_grcat_1: $i > $i > $i ).

thf(tp_k21_qc_lang1,type,
    k21_qc_lang1: $i > $i ).

thf(tp_k22_binop_2,type,
    k22_binop_2: $i > $i > $i ).

thf(tp_k22_borsuk_1,type,
    k22_borsuk_1: $i ).

thf(tp_k22_grcat_1,type,
    k22_grcat_1: $i > $i > $i ).

thf(tp_k22_qc_lang1,type,
    k22_qc_lang1: $i > $i ).

thf(tp_k23_binop_2,type,
    k23_binop_2: $i > $i > $i ).

thf(tp_k23_borsuk_1,type,
    k23_borsuk_1: $i ).

thf(tp_k23_grcat_1,type,
    k23_grcat_1: $i > $i > $i ).

thf(tp_k23_qc_lang1,type,
    k23_qc_lang1: $i > $i ).

thf(tp_k24_binop_2,type,
    k24_binop_2: $i > $i > $i ).

thf(tp_k24_borsuk_1,type,
    k24_borsuk_1: $i ).

thf(tp_k24_grcat_1,type,
    k24_grcat_1: $i > $i ).

thf(tp_k24_qc_lang1,type,
    k24_qc_lang1: $i > $i ).

thf(tp_k25_binop_2,type,
    k25_binop_2: $i ).

thf(tp_k25_grcat_1,type,
    k25_grcat_1: $i > $i ).

thf(tp_k26_binop_2,type,
    k26_binop_2: $i ).

thf(tp_k26_grcat_1,type,
    k26_grcat_1: $i > $i ).

thf(tp_k27_binop_2,type,
    k27_binop_2: $i ).

thf(tp_k27_grcat_1,type,
    k27_grcat_1: $i > $i ).

thf(tp_k28_binop_2,type,
    k28_binop_2: $i ).

thf(tp_k28_grcat_1,type,
    k28_grcat_1: $i > $i ).

thf(tp_k29_binop_2,type,
    k29_binop_2: $i ).

thf(tp_k29_grcat_1,type,
    k29_grcat_1: $i > $i ).

thf(tp_k2_algstr_1,type,
    k2_algstr_1: $i ).

thf(tp_k2_arytm_2,type,
    k2_arytm_2: $i ).

thf(tp_k2_binop_1,type,
    k2_binop_1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k2_binop_2,type,
    k2_binop_2: $i > $i ).

thf(tp_k2_borsuk_1,type,
    k2_borsuk_1: $i > $i > $i ).

thf(tp_k2_card_1,type,
    k2_card_1: $i > $i ).

thf(tp_k2_card_2,type,
    k2_card_2: $i > $i > $i ).

thf(tp_k2_cat_1,type,
    k2_cat_1: $i > $i > $i ).

thf(tp_k2_cat_2,type,
    k2_cat_2: $i > $i > $i > $i > $i ).

thf(tp_k2_classes2,type,
    k2_classes2: $i > $i > $i ).

thf(tp_k2_cqc_lang,type,
    k2_cqc_lang: $i > $i > $i > $i > $i > $i ).

thf(tp_k2_enumset1,type,
    k2_enumset1: $i > $i > $i > $i > $i ).

thf(tp_k2_eqrel_1,type,
    k2_eqrel_1: $i > $i > $i > $i ).

thf(tp_k2_filter_0,type,
    k2_filter_0: $i > $i > $i ).

thf(tp_k2_filter_1,type,
    k2_filter_1: $i > $i > $i > $i ).

thf(tp_k2_finseq_1,type,
    k2_finseq_1: $i > $i ).

thf(tp_k2_finseq_4,type,
    k2_finseq_4: $i > $i > $i > $i ).

thf(tp_k2_finsub_1,type,
    k2_finsub_1: $i > $i > $i > $i ).

thf(tp_k2_funcop_1,type,
    k2_funcop_1: $i > $i > $i ).

thf(tp_k2_funct_1,type,
    k2_funct_1: $i > $i ).

thf(tp_k2_funct_2,type,
    k2_funct_2: $i > $i > $i > $i > $i ).

thf(tp_k2_funct_3,type,
    k2_funct_3: $i > $i > $i > $i ).

thf(tp_k2_funct_4,type,
    k2_funct_4: $i > $i ).

thf(tp_k2_funct_5,type,
    k2_funct_5: $i > $i ).

thf(tp_k2_grcat_1,type,
    k2_grcat_1: $i > $i > $i ).

thf(tp_k2_group_1,type,
    k2_group_1: $i > $i ).

thf(tp_k2_group_2,type,
    k2_group_2: $i > $i > $i > $i ).

thf(tp_k2_group_3,type,
    k2_group_3: $i > $i > $i > $i ).

thf(tp_k2_group_5,type,
    k2_group_5: $i > $i > $i > $i ).

thf(tp_k2_group_6,type,
    k2_group_6: $i > $i > $i > $i ).

thf(tp_k2_int_1,type,
    k2_int_1: $i > $i ).

thf(tp_k2_lattice2,type,
    k2_lattice2: $i > $i > $i > $i > $i ).

thf(tp_k2_lattice4,type,
    k2_lattice4: $i > $i > $i ).

thf(tp_k2_lattices,type,
    k2_lattices: $i > $i > $i > $i ).

thf(tp_k2_lopclset,type,
    k2_lopclset: $i > $i > $i > $i ).

thf(tp_k2_mcart_1,type,
    k2_mcart_1: $i > $i ).

thf(tp_k2_midsp_1,type,
    k2_midsp_1: $i ).

thf(tp_k2_nat_1,type,
    k2_nat_1: $i > $i > $i ).

thf(tp_k2_newton,type,
    k2_newton: $i > $i > $i ).

thf(tp_k2_numbers,type,
    k2_numbers: $i ).

thf(tp_k2_ordinal1,type,
    k2_ordinal1: $i > $i > $i ).

thf(tp_k2_ordinal2,type,
    k2_ordinal2: $i > $i ).

thf(tp_k2_partfun1,type,
    k2_partfun1: $i > $i > $i > $i > $i ).

thf(tp_k2_pre_topc,type,
    k2_pre_topc: $i > $i ).

thf(tp_k2_qc_lang1,type,
    k2_qc_lang1: $i ).

thf(tp_k2_qc_lang2,type,
    k2_qc_lang2: $i > $i > $i ).

thf(tp_k2_realset1,type,
    k2_realset1: $i > $i > $i > $i ).

thf(tp_k2_realset2,type,
    k2_realset2: $i > $i ).

thf(tp_k2_relat_1,type,
    k2_relat_1: $i > $i ).

thf(tp_k2_relset_1,type,
    k2_relset_1: $i > $i > $i > $i > $i ).

thf(tp_k2_rfinseq,type,
    k2_rfinseq: $i > $i ).

thf(tp_k2_rlvect_1,type,
    k2_rlvect_1: $i > $i > $i > $i ).

thf(tp_k2_seq_1,type,
    k2_seq_1: $i > $i > $i > $i > $i ).

thf(tp_k2_setfam_1,type,
    k2_setfam_1: $i > $i > $i ).

thf(tp_k2_setwiseo,type,
    k2_setwiseo: $i > $i > $i ).

thf(tp_k2_struct_0,type,
    k2_struct_0: $i > $i > $i > $i ).

thf(tp_k2_subset_1,type,
    k2_subset_1: $i > $i ).

thf(tp_k2_tarski,type,
    k2_tarski: $i > $i > $i ).

thf(tp_k2_tops_1,type,
    k2_tops_1: $i > $i > $i ).

thf(tp_k2_vectsp_1,type,
    k2_vectsp_1: $i > $i ).

thf(tp_k2_wellord2,type,
    k2_wellord2: $i > $i ).

thf(tp_k2_xboole_0,type,
    k2_xboole_0: $i > $i > $i ).

thf(tp_k2_xcmplx_0,type,
    k2_xcmplx_0: $i > $i > $i ).

thf(tp_k2_zfmisc_1,type,
    k2_zfmisc_1: $i > $i > $i ).

thf(tp_k30_binop_2,type,
    k30_binop_2: $i ).

thf(tp_k30_grcat_1,type,
    k30_grcat_1: $i > $i ).

thf(tp_k31_binop_2,type,
    k31_binop_2: $i ).

thf(tp_k31_grcat_1,type,
    k31_grcat_1: $i > $i ).

thf(tp_k32_binop_2,type,
    k32_binop_2: $i ).

thf(tp_k32_grcat_1,type,
    k32_grcat_1: $i > $i ).

thf(tp_k33_binop_2,type,
    k33_binop_2: $i ).

thf(tp_k34_binop_2,type,
    k34_binop_2: $i ).

thf(tp_k35_binop_2,type,
    k35_binop_2: $i ).

thf(tp_k36_binop_2,type,
    k36_binop_2: $i ).

thf(tp_k37_binop_2,type,
    k37_binop_2: $i ).

thf(tp_k38_binop_2,type,
    k38_binop_2: $i ).

thf(tp_k39_binop_2,type,
    k39_binop_2: $i ).

thf(tp_k3_binop_1,type,
    k3_binop_1: $i > $i > $i ).

thf(tp_k3_binop_2,type,
    k3_binop_2: $i > $i > $i ).

thf(tp_k3_borsuk_1,type,
    k3_borsuk_1: $i > $i > $i > $i ).

thf(tp_k3_card_1,type,
    k3_card_1: $i > $i ).

thf(tp_k3_card_2,type,
    k3_card_2: $i > $i > $i ).

thf(tp_k3_card_3,type,
    k3_card_3: $i > $i ).

thf(tp_k3_cat_1,type,
    k3_cat_1: $i > $i > $i ).

thf(tp_k3_cat_2,type,
    k3_cat_2: $i > $i > $i > $i > $i ).

thf(tp_k3_classes2,type,
    k3_classes2: $i > $i > $i ).

thf(tp_k3_cqc_lang,type,
    k3_cqc_lang: $i > $i > $i ).

thf(tp_k3_enumset1,type,
    k3_enumset1: $i > $i > $i > $i > $i > $i ).

thf(tp_k3_eqrel_1,type,
    k3_eqrel_1: $i > $i > $i > $i ).

thf(tp_k3_filter_0,type,
    k3_filter_0: $i > $i > $i ).

thf(tp_k3_filter_1,type,
    k3_filter_1: $i > $i > $i > $i ).

thf(tp_k3_finseq_1,type,
    k3_finseq_1: $i > $i ).

thf(tp_k3_finseq_2,type,
    k3_finseq_2: $i > $i ).

thf(tp_k3_finsub_1,type,
    k3_finsub_1: $i > $i > $i > $i ).

thf(tp_k3_funct_2,type,
    k3_funct_2: $i > $i > $i > $i > $i ).

thf(tp_k3_funct_3,type,
    k3_funct_3: $i > $i ).

thf(tp_k3_funct_4,type,
    k3_funct_4: $i > $i > $i ).

thf(tp_k3_funct_5,type,
    k3_funct_5: $i > $i ).

thf(tp_k3_grcat_1,type,
    k3_grcat_1: $i > $i > $i ).

thf(tp_k3_group_1,type,
    k3_group_1: $i > $i > $i ).

thf(tp_k3_group_2,type,
    k3_group_2: $i > $i > $i > $i ).

thf(tp_k3_group_5,type,
    k3_group_5: $i > $i > $i > $i > $i ).

thf(tp_k3_group_6,type,
    k3_group_6: $i > $i > $i > $i ).

thf(tp_k3_int_1,type,
    k3_int_1: $i > $i ).

thf(tp_k3_lattice2,type,
    k3_lattice2: $i > $i > $i > $i > $i ).

thf(tp_k3_lattice4,type,
    k3_lattice4: $i > $i > $i ).

thf(tp_k3_lattices,type,
    k3_lattices: $i > $i > $i > $i ).

thf(tp_k3_lopclset,type,
    k3_lopclset: $i > $i > $i > $i ).

thf(tp_k3_mcart_1,type,
    k3_mcart_1: $i > $i > $i > $i ).

thf(tp_k3_newton,type,
    k3_newton: $i > $i > $i ).

thf(tp_k3_numbers,type,
    k3_numbers: $i ).

thf(tp_k3_ordinal2,type,
    k3_ordinal2: $i > $i ).

thf(tp_k3_partfun1,type,
    k3_partfun1: $i > $i > $i > $i ).

thf(tp_k3_pre_topc,type,
    k3_pre_topc: $i > $i > $i ).

thf(tp_k3_qc_lang1,type,
    k3_qc_lang1: $i ).

thf(tp_k3_qc_lang2,type,
    k3_qc_lang2: $i > $i > $i ).

thf(tp_k3_qc_lang3,type,
    k3_qc_lang3: $i > $i ).

thf(tp_k3_real_1,type,
    k3_real_1: $i > $i > $i ).

thf(tp_k3_realset1,type,
    k3_realset1: $i > $i > $i > $i ).

thf(tp_k3_realset2,type,
    k3_realset2: $i > $i ).

thf(tp_k3_relat_1,type,
    k3_relat_1: $i > $i ).

thf(tp_k3_relset_1,type,
    k3_relset_1: $i > $i > $i > $i > $i ).

thf(tp_k3_rlvect_1,type,
    k3_rlvect_1: $i > $i > $i > $i ).

thf(tp_k3_setfam_1,type,
    k3_setfam_1: $i > $i > $i ).

thf(tp_k3_setwiseo,type,
    k3_setwiseo: $i > $i > $i > $i ).

thf(tp_k3_subset_1,type,
    k3_subset_1: $i > $i > $i ).

thf(tp_k3_tarski,type,
    k3_tarski: $i > $i ).

thf(tp_k3_vectsp_1,type,
    k3_vectsp_1: $i ).

thf(tp_k3_xboole_0,type,
    k3_xboole_0: $i > $i > $i ).

thf(tp_k3_xcmplx_0,type,
    k3_xcmplx_0: $i > $i > $i ).

thf(tp_k3_zfmisc_1,type,
    k3_zfmisc_1: $i > $i > $i > $i ).

thf(tp_k40_binop_2,type,
    k40_binop_2: $i ).

thf(tp_k41_binop_2,type,
    k41_binop_2: $i ).

thf(tp_k42_binop_2,type,
    k42_binop_2: $i ).

thf(tp_k43_binop_2,type,
    k43_binop_2: $i ).

thf(tp_k44_binop_2,type,
    k44_binop_2: $i ).

thf(tp_k45_binop_2,type,
    k45_binop_2: $i ).

thf(tp_k46_binop_2,type,
    k46_binop_2: $i ).

thf(tp_k47_binop_2,type,
    k47_binop_2: $i ).

thf(tp_k48_binop_2,type,
    k48_binop_2: $i ).

thf(tp_k4_binop_2,type,
    k4_binop_2: $i > $i > $i ).

thf(tp_k4_borsuk_1,type,
    k4_borsuk_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k4_card_1,type,
    k4_card_1: $i > $i ).

thf(tp_k4_cat_1,type,
    k4_cat_1: $i > $i > $i > $i ).

thf(tp_k4_cat_2,type,
    k4_cat_2: $i > $i > $i > $i ).

thf(tp_k4_classes1,type,
    k4_classes1: $i > $i ).

thf(tp_k4_classes2,type,
    k4_classes2: $i > $i > $i ).

thf(tp_k4_cqc_lang,type,
    k4_cqc_lang: $i > $i > $i ).

thf(tp_k4_enumset1,type,
    k4_enumset1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k4_eqrel_1,type,
    k4_eqrel_1: $i > $i > $i > $i ).

thf(tp_k4_filter_0,type,
    k4_filter_0: $i > $i > $i > $i ).

thf(tp_k4_filter_1,type,
    k4_filter_1: $i > $i > $i > $i ).

thf(tp_k4_finseq_1,type,
    k4_finseq_1: $i > $i ).

thf(tp_k4_finseq_2,type,
    k4_finseq_2: $i > $i > $i ).

thf(tp_k4_finsub_1,type,
    k4_finsub_1: $i > $i > $i > $i ).

thf(tp_k4_funct_2,type,
    k4_funct_2: $i > $i > $i > $i ).

thf(tp_k4_funct_3,type,
    k4_funct_3: $i > $i > $i ).

thf(tp_k4_funct_4,type,
    k4_funct_4: $i > $i > $i > $i > $i ).

thf(tp_k4_funct_5,type,
    k4_funct_5: $i > $i ).

thf(tp_k4_grcat_1,type,
    k4_grcat_1: $i > $i > $i ).

thf(tp_k4_group_1,type,
    k4_group_1: $i > $i ).

thf(tp_k4_group_2,type,
    k4_group_2: $i > $i > $i > $i ).

thf(tp_k4_group_6,type,
    k4_group_6: $i > $i > $i ).

thf(tp_k4_int_1,type,
    k4_int_1: $i > $i ).

thf(tp_k4_lattice4,type,
    k4_lattice4: $i > $i > $i ).

thf(tp_k4_lattices,type,
    k4_lattices: $i > $i > $i > $i ).

thf(tp_k4_lopclset,type,
    k4_lopclset: $i > $i ).

thf(tp_k4_mcart_1,type,
    k4_mcart_1: $i > $i > $i > $i > $i ).

thf(tp_k4_numbers,type,
    k4_numbers: $i ).

thf(tp_k4_ordinal2,type,
    k4_ordinal2: $i ).

thf(tp_k4_partfun1,type,
    k4_partfun1: $i > $i > $i ).

thf(tp_k4_pre_topc,type,
    k4_pre_topc: $i > $i > $i > $i > $i ).

thf(tp_k4_qc_lang1,type,
    k4_qc_lang1: $i ).

thf(tp_k4_qc_lang2,type,
    k4_qc_lang2: $i > $i > $i ).

thf(tp_k4_real_1,type,
    k4_real_1: $i > $i > $i ).

thf(tp_k4_realset1,type,
    k4_realset1: $i > $i > $i > $i ).

thf(tp_k4_realset2,type,
    k4_realset2: $i > $i ).

thf(tp_k4_relat_1,type,
    k4_relat_1: $i > $i ).

thf(tp_k4_relset_1,type,
    k4_relset_1: $i > $i > $i > $i ).

thf(tp_k4_rlvect_1,type,
    k4_rlvect_1: $i > $i > $i > $i ).

thf(tp_k4_setfam_1,type,
    k4_setfam_1: $i > $i > $i ).

thf(tp_k4_setwiseo,type,
    k4_setwiseo: $i > $i > $i > $i > $i ).

thf(tp_k4_subset_1,type,
    k4_subset_1: $i > $i > $i > $i ).

thf(tp_k4_tarski,type,
    k4_tarski: $i > $i > $i ).

thf(tp_k4_vectsp_1,type,
    k4_vectsp_1: $i > $i > $i ).

thf(tp_k4_xboole_0,type,
    k4_xboole_0: $i > $i > $i ).

thf(tp_k4_xcmplx_0,type,
    k4_xcmplx_0: $i > $i ).

thf(tp_k4_zfmisc_1,type,
    k4_zfmisc_1: $i > $i > $i > $i > $i ).

thf(tp_k5_binop_2,type,
    k5_binop_2: $i > $i > $i ).

thf(tp_k5_borsuk_1,type,
    k5_borsuk_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k5_cat_1,type,
    k5_cat_1: $i > $i > $i ).

thf(tp_k5_cat_2,type,
    k5_cat_2: $i > $i > $i ).

thf(tp_k5_classes1,type,
    k5_classes1: $i > $i ).

thf(tp_k5_classes2,type,
    k5_classes2: $i > $i > $i > $i ).

thf(tp_k5_cqc_lang,type,
    k5_cqc_lang: $i > $i > $i > $i ).

thf(tp_k5_enumset1,type,
    k5_enumset1: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k5_eqrel_1,type,
    k5_eqrel_1: $i > $i > $i > $i ).

thf(tp_k5_filter_0,type,
    k5_filter_0: $i > $i > $i > $i ).

thf(tp_k5_filter_1,type,
    k5_filter_1: $i > $i > $i ).

thf(tp_k5_finseq_1,type,
    k5_finseq_1: $i > $i ).

thf(tp_k5_finsub_1,type,
    k5_finsub_1: $i > $i ).

thf(tp_k5_funct_2,type,
    k5_funct_2: $i > $i > $i > $i ).

thf(tp_k5_funct_3,type,
    k5_funct_3: $i > $i > $i ).

thf(tp_k5_funct_4,type,
    k5_funct_4: $i > $i > $i > $i > $i > $i ).

thf(tp_k5_funct_5,type,
    k5_funct_5: $i > $i ).

thf(tp_k5_grcat_1,type,
    k5_grcat_1: $i > $i > $i ).

thf(tp_k5_group_1,type,
    k5_group_1: $i > $i ).

thf(tp_k5_group_2,type,
    k5_group_2: $i > $i ).

thf(tp_k5_group_4,type,
    k5_group_4: $i > $i > $i ).

thf(tp_k5_group_6,type,
    k5_group_6: $i > $i > $i ).

thf(tp_k5_int_1,type,
    k5_int_1: $i > $i > $i ).

thf(tp_k5_lattice4,type,
    k5_lattice4: $i > $i ).

thf(tp_k5_lattices,type,
    k5_lattices: $i > $i ).

thf(tp_k5_lopclset,type,
    k5_lopclset: $i > $i ).

thf(tp_k5_mcart_1,type,
    k5_mcart_1: $i > $i > $i > $i > $i ).

thf(tp_k5_numbers,type,
    k5_numbers: $i ).

thf(tp_k5_ordinal2,type,
    k5_ordinal2: $i ).

thf(tp_k5_partfun1,type,
    k5_partfun1: $i > $i > $i > $i ).

thf(tp_k5_pcomps_1,type,
    k5_pcomps_1: $i > $i ).

thf(tp_k5_pre_topc,type,
    k5_pre_topc: $i > $i > $i > $i > $i ).

thf(tp_k5_qc_lang1,type,
    k5_qc_lang1: $i ).

thf(tp_k5_qc_lang2,type,
    k5_qc_lang2: $i > $i > $i ).

thf(tp_k5_qc_lang3,type,
    k5_qc_lang3: $i > $i ).

thf(tp_k5_real_1,type,
    k5_real_1: $i > $i > $i ).

thf(tp_k5_realset1,type,
    k5_realset1: $i > $i > $i ).

thf(tp_k5_realset2,type,
    k5_realset2: $i > $i ).

thf(tp_k5_relat_1,type,
    k5_relat_1: $i > $i > $i ).

thf(tp_k5_relset_1,type,
    k5_relset_1: $i > $i > $i > $i ).

thf(tp_k5_rlvect_1,type,
    k5_rlvect_1: $i > $i > $i ).

thf(tp_k5_setfam_1,type,
    k5_setfam_1: $i > $i > $i ).

thf(tp_k5_setwiseo,type,
    k5_setwiseo: $i > $i > $i > $i ).

thf(tp_k5_subset_1,type,
    k5_subset_1: $i > $i > $i > $i ).

thf(tp_k5_vectsp_1,type,
    k5_vectsp_1: $i > $i > $i > $i ).

thf(tp_k5_xboole_0,type,
    k5_xboole_0: $i > $i > $i ).

thf(tp_k5_xcmplx_0,type,
    k5_xcmplx_0: $i > $i ).

thf(tp_k6_arytm_3,type,
    k6_arytm_3: $i ).

thf(tp_k6_binop_2,type,
    k6_binop_2: $i > $i > $i ).

thf(tp_k6_borsuk_1,type,
    k6_borsuk_1: $i > $i > $i ).

thf(tp_k6_cat_1,type,
    k6_cat_1: $i > $i > $i > $i ).

thf(tp_k6_cat_2,type,
    k6_cat_2: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k6_classes1,type,
    k6_classes1: $i > $i ).

thf(tp_k6_classes2,type,
    k6_classes2: $i > $i > $i > $i ).

thf(tp_k6_cqc_lang,type,
    k6_cqc_lang: $i > $i > $i ).

thf(tp_k6_domain_1,type,
    k6_domain_1: $i > $i > $i ).

thf(tp_k6_enumset1,type,
    k6_enumset1: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k6_eqrel_1,type,
    k6_eqrel_1: $i > $i > $i > $i ).

thf(tp_k6_filter_0,type,
    k6_filter_0: $i > $i > $i > $i ).

thf(tp_k6_filter_1,type,
    k6_filter_1: $i > $i > $i > $i ).

thf(tp_k6_finseq_1,type,
    k6_finseq_1: $i > $i ).

thf(tp_k6_finseqop,type,
    k6_finseqop: $i > $i > $i ).

thf(tp_k6_funct_2,type,
    k6_funct_2: $i > $i > $i ).

thf(tp_k6_funct_3,type,
    k6_funct_3: $i > $i > $i ).

thf(tp_k6_funct_5,type,
    k6_funct_5: $i > $i ).

thf(tp_k6_grcat_1,type,
    k6_grcat_1: $i > $i > $i ).

thf(tp_k6_group_1,type,
    k6_group_1: $i > $i > $i > $i ).

thf(tp_k6_group_2,type,
    k6_group_2: $i > $i ).

thf(tp_k6_group_6,type,
    k6_group_6: $i > $i > $i ).

thf(tp_k6_int_1,type,
    k6_int_1: $i > $i > $i ).

thf(tp_k6_lattices,type,
    k6_lattices: $i > $i ).

thf(tp_k6_lopclset,type,
    k6_lopclset: $i > $i ).

thf(tp_k6_mcart_1,type,
    k6_mcart_1: $i > $i > $i > $i > $i ).

thf(tp_k6_ordinal2,type,
    k6_ordinal2: $i > $i ).

thf(tp_k6_partfun1,type,
    k6_partfun1: $i > $i ).

thf(tp_k6_pre_topc,type,
    k6_pre_topc: $i > $i > $i ).

thf(tp_k6_qc_lang1,type,
    k6_qc_lang1: $i > $i ).

thf(tp_k6_qc_lang2,type,
    k6_qc_lang2: $i > $i > $i > $i ).

thf(tp_k6_qc_lang3,type,
    k6_qc_lang3: $i > $i ).

thf(tp_k6_real_1,type,
    k6_real_1: $i > $i > $i ).

thf(tp_k6_realset2,type,
    k6_realset2: $i > $i ).

thf(tp_k6_relat_1,type,
    k6_relat_1: $i > $i ).

thf(tp_k6_relset_1,type,
    k6_relset_1: $i > $i > $i > $i ).

thf(tp_k6_rlvect_1,type,
    k6_rlvect_1: $i > $i > $i > $i ).

thf(tp_k6_setfam_1,type,
    k6_setfam_1: $i > $i > $i ).

thf(tp_k6_setwiseo,type,
    k6_setwiseo: $i > $i > $i > $i ).

thf(tp_k6_subset_1,type,
    k6_subset_1: $i > $i > $i > $i ).

thf(tp_k6_vectsp_1,type,
    k6_vectsp_1: $i > $i > $i > $i > $i ).

thf(tp_k6_xcmplx_0,type,
    k6_xcmplx_0: $i > $i > $i ).

thf(tp_k7_binop_2,type,
    k7_binop_2: $i > $i ).

thf(tp_k7_borsuk_1,type,
    k7_borsuk_1: $i > $i > $i > $i > $i ).

thf(tp_k7_cat_1,type,
    k7_cat_1: $i > $i > $i ).

thf(tp_k7_cat_2,type,
    k7_cat_2: $i > $i > $i ).

thf(tp_k7_classes2,type,
    k7_classes2: $i > $i > $i > $i ).

thf(tp_k7_cqc_lang,type,
    k7_cqc_lang: $i ).

thf(tp_k7_eqrel_1,type,
    k7_eqrel_1: $i > $i > $i ).

thf(tp_k7_filter_0,type,
    k7_filter_0: $i > $i > $i > $i ).

thf(tp_k7_filter_1,type,
    k7_filter_1: $i > $i > $i > $i > $i ).

thf(tp_k7_finseq_1,type,
    k7_finseq_1: $i > $i > $i ).

thf(tp_k7_funcop_1,type,
    k7_funcop_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k7_funct_2,type,
    k7_funct_2: $i > $i > $i > $i > $i > $i ).

thf(tp_k7_funct_3,type,
    k7_funct_3: $i > $i > $i ).

thf(tp_k7_grcat_1,type,
    k7_grcat_1: $i > $i ).

thf(tp_k7_group_1,type,
    k7_group_1: $i > $i > $i ).

thf(tp_k7_group_2,type,
    k7_group_2: $i > $i > $i ).

thf(tp_k7_group_4,type,
    k7_group_4: $i > $i > $i > $i ).

thf(tp_k7_group_6,type,
    k7_group_6: $i > $i > $i > $i ).

thf(tp_k7_lattices,type,
    k7_lattices: $i > $i > $i ).

thf(tp_k7_lopclset,type,
    k7_lopclset: $i > $i ).

thf(tp_k7_mcart_1,type,
    k7_mcart_1: $i > $i > $i > $i > $i ).

thf(tp_k7_ordinal2,type,
    k7_ordinal2: $i > $i ).

thf(tp_k7_qc_lang1,type,
    k7_qc_lang1: $i > $i ).

thf(tp_k7_qc_lang2,type,
    k7_qc_lang2: $i > $i > $i > $i ).

thf(tp_k7_realset2,type,
    k7_realset2: $i > $i ).

thf(tp_k7_relat_1,type,
    k7_relat_1: $i > $i > $i ).

thf(tp_k7_relset_1,type,
    k7_relset_1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k7_rlvect_1,type,
    k7_rlvect_1: $i > $i > $i > $i ).

thf(tp_k7_setfam_1,type,
    k7_setfam_1: $i > $i > $i ).

thf(tp_k7_setwiseo,type,
    k7_setwiseo: $i > $i > $i > $i > $i > $i ).

thf(tp_k7_subset_1,type,
    k7_subset_1: $i > $i > $i > $i ).

thf(tp_k7_vectsp_1,type,
    k7_vectsp_1: $i > $i ).

thf(tp_k7_vectsp_2,type,
    k7_vectsp_2: $i ).

thf(tp_k7_xcmplx_0,type,
    k7_xcmplx_0: $i > $i > $i ).

thf(tp_k8_binop_2,type,
    k8_binop_2: $i > $i ).

thf(tp_k8_borsuk_1,type,
    k8_borsuk_1: $i > $i > $i > $i > $i ).

thf(tp_k8_cat_1,type,
    k8_cat_1: $i > $i > $i ).

thf(tp_k8_cat_2,type,
    k8_cat_2: $i > $i > $i ).

thf(tp_k8_classes2,type,
    k8_classes2: $i > $i > $i > $i ).

thf(tp_k8_cqc_lang,type,
    k8_cqc_lang: $i > $i > $i > $i ).

thf(tp_k8_eqrel_1,type,
    k8_eqrel_1: $i > $i > $i ).

thf(tp_k8_filter_0,type,
    k8_filter_0: $i > $i > $i ).

thf(tp_k8_filter_1,type,
    k8_filter_1: $i > $i > $i ).

thf(tp_k8_finseq_1,type,
    k8_finseq_1: $i > $i > $i > $i ).

thf(tp_k8_funcop_1,type,
    k8_funcop_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k8_funct_2,type,
    k8_funct_2: $i > $i > $i > $i > $i ).

thf(tp_k8_funct_3,type,
    k8_funct_3: $i > $i > $i ).

thf(tp_k8_grcat_1,type,
    k8_grcat_1: $i > $i > $i ).

thf(tp_k8_group_1,type,
    k8_group_1: $i > $i ).

thf(tp_k8_group_2,type,
    k8_group_2: $i > $i > $i > $i ).

thf(tp_k8_group_4,type,
    k8_group_4: $i > $i > $i > $i ).

thf(tp_k8_group_6,type,
    k8_group_6: $i > $i > $i > $i > $i > $i ).

thf(tp_k8_lopclset,type,
    k8_lopclset: $i > $i ).

thf(tp_k8_mcart_1,type,
    k8_mcart_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k8_metric_1,type,
    k8_metric_1: $i ).

thf(tp_k8_ordinal2,type,
    k8_ordinal2: $i > $i ).

thf(tp_k8_qc_lang1,type,
    k8_qc_lang1: $i ).

thf(tp_k8_qc_lang2,type,
    k8_qc_lang2: $i > $i > $i > $i > $i ).

thf(tp_k8_realset2,type,
    k8_realset2: $i > $i ).

thf(tp_k8_relat_1,type,
    k8_relat_1: $i > $i > $i ).

thf(tp_k8_relset_1,type,
    k8_relset_1: $i > $i > $i > $i > $i ).

thf(tp_k8_rlvect_1,type,
    k8_rlvect_1: $i > $i > $i > $i > $i ).

thf(tp_k8_setfam_1,type,
    k8_setfam_1: $i > $i > $i ).

thf(tp_k8_setwiseo,type,
    k8_setwiseo: $i > $i > $i > $i > $i ).

thf(tp_k8_subset_1,type,
    k8_subset_1: $i > $i ).

thf(tp_k8_vectsp_2,type,
    k8_vectsp_2: $i ).

thf(tp_k9_binop_2,type,
    k9_binop_2: $i > $i > $i ).

thf(tp_k9_borsuk_1,type,
    k9_borsuk_1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k9_cat_1,type,
    k9_cat_1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k9_cat_2,type,
    k9_cat_2: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_k9_classes2,type,
    k9_classes2: $i > $i > $i > $i ).

thf(tp_k9_cqc_lang,type,
    k9_cqc_lang: $i ).

thf(tp_k9_filter_0,type,
    k9_filter_0: $i > $i > $i > $i ).

thf(tp_k9_filter_1,type,
    k9_filter_1: $i > $i ).

thf(tp_k9_finseq_1,type,
    k9_finseq_1: $i > $i ).

thf(tp_k9_funct_2,type,
    k9_funct_2: $i > $i > $i > $i ).

thf(tp_k9_funct_3,type,
    k9_funct_3: $i > $i > $i ).

thf(tp_k9_grcat_1,type,
    k9_grcat_1: $i > $i ).

thf(tp_k9_group_1,type,
    k9_group_1: $i > $i ).

thf(tp_k9_group_2,type,
    k9_group_2: $i > $i > $i > $i ).

thf(tp_k9_group_5,type,
    k9_group_5: $i > $i ).

thf(tp_k9_group_6,type,
    k9_group_6: $i > $i > $i > $i ).

thf(tp_k9_lopclset,type,
    k9_lopclset: $i > $i ).

thf(tp_k9_mcart_1,type,
    k9_mcart_1: $i > $i > $i > $i > $i > $i ).

thf(tp_k9_ordinal2,type,
    k9_ordinal2: $i > $i ).

thf(tp_k9_qc_lang1,type,
    k9_qc_lang1: $i > $i > $i ).

thf(tp_k9_qc_lang2,type,
    k9_qc_lang2: $i > $i > $i > $i > $i ).

thf(tp_k9_relat_1,type,
    k9_relat_1: $i > $i > $i ).

thf(tp_k9_relset_1,type,
    k9_relset_1: $i > $i > $i > $i > $i ).

thf(tp_k9_rlvect_1,type,
    k9_rlvect_1: $i > $i > $i ).

thf(tp_k9_rvsum_1,type,
    k9_rvsum_1: $i > $i > $i ).

thf(tp_k9_setwiseo,type,
    k9_setwiseo: $i > $i ).

thf(tp_l1_cat_1,type,
    l1_cat_1: $i > $o ).

thf(tp_l1_grcat_1,type,
    l1_grcat_1: $i > $o ).

thf(tp_l1_group_1,type,
    l1_group_1: $i > $o ).

thf(tp_l1_lattices,type,
    l1_lattices: $i > $o ).

thf(tp_l1_pre_topc,type,
    l1_pre_topc: $i > $o ).

thf(tp_l1_rlvect_1,type,
    l1_rlvect_1: $i > $o ).

thf(tp_l1_struct_0,type,
    l1_struct_0: $i > $o ).

thf(tp_l1_vectsp_1,type,
    l1_vectsp_1: $i > $o ).

thf(tp_l2_lattices,type,
    l2_lattices: $i > $o ).

thf(tp_l2_rlvect_1,type,
    l2_rlvect_1: $i > $o ).

thf(tp_l2_struct_0,type,
    l2_struct_0: $i > $o ).

thf(tp_l2_vectsp_1,type,
    l2_vectsp_1: $i > $o ).

thf(tp_l3_lattices,type,
    l3_lattices: $i > $o ).

thf(tp_l3_vectsp_1,type,
    l3_vectsp_1: $i > $o ).

thf(tp_l4_vectsp_1,type,
    l4_vectsp_1: $i > $i > $o ).

thf(tp_m1_borsuk_1,type,
    m1_borsuk_1: $i > $i > $o ).

thf(tp_m1_cat_1,type,
    m1_cat_1: $i > $i > $i > $i > $o ).

thf(tp_m1_cat_2,type,
    m1_cat_2: $i > $i > $i > $o ).

thf(tp_m1_connsp_2,type,
    m1_connsp_2: $i > $i > $i > $o ).

thf(tp_m1_eqrel_1,type,
    m1_eqrel_1: $i > $i > $o ).

thf(tp_m1_filter_0,type,
    m1_filter_0: $i > $i > $o ).

thf(tp_m1_filter_1,type,
    m1_filter_1: $i > $i > $i > $o ).

thf(tp_m1_finseq_1,type,
    m1_finseq_1: $i > $i > $o ).

thf(tp_m1_fraenkel,type,
    m1_fraenkel: $i > $i > $i > $o ).

thf(tp_m1_grcat_1,type,
    m1_grcat_1: $i > $i > $i > $o ).

thf(tp_m1_group_2,type,
    m1_group_2: $i > $i > $o ).

thf(tp_m1_group_6,type,
    m1_group_6: $i > $i > $i > $o ).

thf(tp_m1_lattice4,type,
    m1_lattice4: $i > $i > $i > $o ).

thf(tp_m1_ordinal1,type,
    m1_ordinal1: $i > $i > $o ).

thf(tp_m1_pre_topc,type,
    m1_pre_topc: $i > $i > $o ).

thf(tp_m1_qc_lang1,type,
    m1_qc_lang1: $i > $i > $o ).

thf(tp_m1_realset1,type,
    m1_realset1: $i > $i > $i > $o ).

thf(tp_m1_relset_1,type,
    m1_relset_1: $i > $i > $i > $o ).

thf(tp_m1_struct_0,type,
    m1_struct_0: $i > $i > $i > $o ).

thf(tp_m1_subset_1,type,
    m1_subset_1: $i > $i > $o ).

thf(tp_m2_cat_1,type,
    m2_cat_1: $i > $i > $i > $o ).

thf(tp_m2_cat_2,type,
    m2_cat_2: $i > $i > $i > $i > $o ).

thf(tp_m2_connsp_2,type,
    m2_connsp_2: $i > $i > $i > $o ).

thf(tp_m2_filter_1,type,
    m2_filter_1: $i > $i > $i > $o ).

thf(tp_m2_finseq_1,type,
    m2_finseq_1: $i > $i > $o ).

thf(tp_m2_fraenkel,type,
    m2_fraenkel: $i > $i > $i > $i > $o ).

thf(tp_m2_grcat_1,type,
    m2_grcat_1: $i > $i > $o ).

thf(tp_m2_lattice4,type,
    m2_lattice4: $i > $i > $o ).

thf(tp_m2_realset1,type,
    m2_realset1: $i > $i > $i > $o ).

thf(tp_m2_relset_1,type,
    m2_relset_1: $i > $i > $i > $o ).

thf(tp_m2_subset_1,type,
    m2_subset_1: $i > $i > $i > $o ).

thf(tp_m3_cat_2,type,
    m3_cat_2: $i > $i > $o ).

thf(tp_m3_grcat_1,type,
    m3_grcat_1: $i > $i > $o ).

thf(tp_m3_lattice4,type,
    m3_lattice4: $i > $i > $o ).

thf(tp_m3_realset1,type,
    m3_realset1: $i > $i > $i > $o ).

thf(tp_m4_grcat_1,type,
    m4_grcat_1: $i > $i > $i > $o ).

thf(tp_m4_realset1,type,
    m4_realset1: $i > $i > $o ).

thf(tp_m5_grcat_1,type,
    m5_grcat_1: $i > $i > $i > $o ).

thf(tp_m6_grcat_1,type,
    m6_grcat_1: $i > $i > $i > $i > $o ).

thf(tp_m7_grcat_1,type,
    m7_grcat_1: $i > $i > $i > $i > $o ).

thf(tp_np__0,type,
    np__0: $i ).

thf(tp_np__1,type,
    np__1: $i ).

thf(tp_np__2,type,
    np__2: $i ).

thf(tp_np__3,type,
    np__3: $i ).

thf(tp_np__4,type,
    np__4: $i ).

thf(tp_np__5,type,
    np__5: $i ).

thf(tp_np__6,type,
    np__6: $i ).

thf(tp_np__7,type,
    np__7: $i ).

thf(tp_p1_s10_fraenkel,type,
    p1_s10_fraenkel: $i > $o ).

thf(tp_p1_s11_fraenkel,type,
    p1_s11_fraenkel: $i > $i > $o ).

thf(tp_p1_s12_fraenkel,type,
    p1_s12_fraenkel: $i > $i > $o ).

thf(tp_p1_s13_fraenkel,type,
    p1_s13_fraenkel: $i > $i > $o ).

thf(tp_p1_s14_fraenkel,type,
    p1_s14_fraenkel: $i > $o ).

thf(tp_p1_s14_funct_2,type,
    p1_s14_funct_2: $i > $i > $o ).

thf(tp_p1_s15_fraenkel,type,
    p1_s15_fraenkel: $i > $i > $o ).

thf(tp_p1_s16_fraenkel,type,
    p1_s16_fraenkel: $i > $i > $o ).

thf(tp_p1_s17_fraenkel,type,
    p1_s17_fraenkel: $i > $o ).

thf(tp_p1_s18_fraenkel,type,
    p1_s18_fraenkel: $i > $o ).

thf(tp_p1_s19_fraenkel,type,
    p1_s19_fraenkel: $i > $i > $o ).

thf(tp_p1_s1_binop_1,type,
    p1_s1_binop_1: $i > $i > $i > $o ).

thf(tp_p1_s1_card_1,type,
    p1_s1_card_1: $i > $o ).

thf(tp_p1_s1_card_4,type,
    p1_s1_card_4: $i > $o ).

thf(tp_p1_s1_cqc_lang,type,
    p1_s1_cqc_lang: $i > $o ).

thf(tp_p1_s1_eqrel_1,type,
    p1_s1_eqrel_1: $i > $i > $o ).

thf(tp_p1_s1_filter_1,type,
    p1_s1_filter_1: $i > $o ).

thf(tp_p1_s1_finseq_1,type,
    p1_s1_finseq_1: $i > $i > $o ).

thf(tp_p1_s1_finset_1,type,
    p1_s1_finset_1: $i > $o ).

thf(tp_p1_s1_fraenkel,type,
    p1_s1_fraenkel: $i > $o ).

thf(tp_p1_s1_funct_1,type,
    p1_s1_funct_1: $i > $i > $o ).

thf(tp_p1_s1_funct_2,type,
    p1_s1_funct_2: $i > $i > $o ).

thf(tp_p1_s1_funct_3,type,
    p1_s1_funct_3: $i > $i > $i > $o ).

thf(tp_p1_s1_grcat_1,type,
    p1_s1_grcat_1: $i > $i > $o ).

thf(tp_p1_s1_int_1,type,
    p1_s1_int_1: $i > $o ).

thf(tp_p1_s1_membered,type,
    p1_s1_membered: $i > $o ).

thf(tp_p1_s1_ordinal1,type,
    p1_s1_ordinal1: $i > $o ).

thf(tp_p1_s1_ordinal2,type,
    p1_s1_ordinal2: $i > $o ).

thf(tp_p1_s1_partfun1,type,
    p1_s1_partfun1: $i > $o ).

thf(tp_p1_s1_qc_lang1,type,
    p1_s1_qc_lang1: $i > $o ).

thf(tp_p1_s1_relat_1,type,
    p1_s1_relat_1: $i > $i > $o ).

thf(tp_p1_s1_relset_1,type,
    p1_s1_relset_1: $i > $i > $o ).

thf(tp_p1_s1_setwiseo,type,
    p1_s1_setwiseo: $i > $i > $o ).

thf(tp_p1_s1_subset_1,type,
    p1_s1_subset_1: $i > $o ).

thf(tp_p1_s1_tarski,type,
    p1_s1_tarski: $i > $i > $o ).

thf(tp_p1_s1_xboole_0,type,
    p1_s1_xboole_0: $i > $o ).

thf(tp_p1_s20_fraenkel,type,
    p1_s20_fraenkel: $i > $i > $o ).

thf(tp_p1_s23_fraenkel,type,
    p1_s23_fraenkel: $i > $i > $o ).

thf(tp_p1_s24_fraenkel,type,
    p1_s24_fraenkel: $i > $i > $o ).

thf(tp_p1_s26_fraenkel,type,
    p1_s26_fraenkel: $i > $i > $o ).

thf(tp_p1_s27_fraenkel,type,
    p1_s27_fraenkel: $i > $i > $o ).

thf(tp_p1_s2_card_1,type,
    p1_s2_card_1: $i > $o ).

thf(tp_p1_s2_card_4,type,
    p1_s2_card_4: $i > $i > $o ).

thf(tp_p1_s2_filter_1,type,
    p1_s2_filter_1: $i > $i > $o ).

thf(tp_p1_s2_finset_1,type,
    p1_s2_finset_1: $i > $o ).

thf(tp_p1_s2_fraenkel,type,
    p1_s2_fraenkel: $i > $i > $o ).

thf(tp_p1_s2_funct_1,type,
    p1_s2_funct_1: $i > $i > $o ).

thf(tp_p1_s2_grcat_1,type,
    p1_s2_grcat_1: $i > $i > $o ).

thf(tp_p1_s2_int_1,type,
    p1_s2_int_1: $i > $o ).

thf(tp_p1_s2_membered,type,
    p1_s2_membered: $i > $o ).

thf(tp_p1_s2_ordinal1,type,
    p1_s2_ordinal1: $i > $o ).

thf(tp_p1_s2_partfun1,type,
    p1_s2_partfun1: $i > $i > $o ).

thf(tp_p1_s2_qc_lang1,type,
    p1_s2_qc_lang1: $i > $o ).

thf(tp_p1_s2_relset_1,type,
    p1_s2_relset_1: $i > $i > $o ).

thf(tp_p1_s2_setwiseo,type,
    p1_s2_setwiseo: $i > $o ).

thf(tp_p1_s2_subset_1,type,
    p1_s2_subset_1: $i > $o ).

thf(tp_p1_s2_xboole_0,type,
    p1_s2_xboole_0: $i > $o ).

thf(tp_p1_s3_card_4,type,
    p1_s3_card_4: $i > $i > $i > $o ).

thf(tp_p1_s3_filter_1,type,
    p1_s3_filter_1: $i > $i > $i > $o ).

thf(tp_p1_s3_finseq_1,type,
    p1_s3_finseq_1: $i > $o ).

thf(tp_p1_s3_fraenkel,type,
    p1_s3_fraenkel: $i > $o ).

thf(tp_p1_s3_funct_2,type,
    p1_s3_funct_2: $i > $i > $o ).

thf(tp_p1_s3_int_1,type,
    p1_s3_int_1: $i > $o ).

thf(tp_p1_s3_membered,type,
    p1_s3_membered: $i > $o ).

thf(tp_p1_s3_partfun1,type,
    p1_s3_partfun1: $i > $o ).

thf(tp_p1_s3_setwiseo,type,
    p1_s3_setwiseo: $i > $o ).

thf(tp_p1_s3_subset_1,type,
    p1_s3_subset_1: $i > $o ).

thf(tp_p1_s3_xboole_0,type,
    p1_s3_xboole_0: $i > $o ).

thf(tp_p1_s4_filter_1,type,
    p1_s4_filter_1: $i > $o ).

thf(tp_p1_s4_finseq_1,type,
    p1_s4_finseq_1: $i > $o ).

thf(tp_p1_s4_fraenkel,type,
    p1_s4_fraenkel: $i > $i > $o ).

thf(tp_p1_s4_int_1,type,
    p1_s4_int_1: $i > $o ).

thf(tp_p1_s4_membered,type,
    p1_s4_membered: $i > $o ).

thf(tp_p1_s4_partfun1,type,
    p1_s4_partfun1: $i > $i > $i > $o ).

thf(tp_p1_s4_setwiseo,type,
    p1_s4_setwiseo: $i > $o ).

thf(tp_p1_s4_subset_1,type,
    p1_s4_subset_1: $i > $o ).

thf(tp_p1_s5_filter_1,type,
    p1_s5_filter_1: $i > $i > $o ).

thf(tp_p1_s5_finseq_1,type,
    p1_s5_finseq_1: $i > $i > $o ).

thf(tp_p1_s5_fraenkel,type,
    p1_s5_fraenkel: $i > $o ).

thf(tp_p1_s5_funct_2,type,
    p1_s5_funct_2: $i > $i > $i > $o ).

thf(tp_p1_s5_int_1,type,
    p1_s5_int_1: $i > $o ).

thf(tp_p1_s5_membered,type,
    p1_s5_membered: $i > $o ).

thf(tp_p1_s5_partfun1,type,
    p1_s5_partfun1: $i > $i > $o ).

thf(tp_p1_s6_filter_1,type,
    p1_s6_filter_1: $i > $i > $i > $o ).

thf(tp_p1_s6_fraenkel,type,
    p1_s6_fraenkel: $i > $o ).

thf(tp_p1_s6_int_1,type,
    p1_s6_int_1: $i > $o ).

thf(tp_p1_s7_fraenkel,type,
    p1_s7_fraenkel: $i > $i > $o ).

thf(tp_p1_s7_funct_2,type,
    p1_s7_funct_2: $i > $i > $i > $o ).

thf(tp_p1_s8_fraenkel,type,
    p1_s8_fraenkel: $i > $i > $o ).

thf(tp_p1_s9_fraenkel,type,
    p1_s9_fraenkel: $i > $o ).

thf(tp_p1_s9_funct_2,type,
    p1_s9_funct_2: $i > $o ).

thf(tp_p2_s11_fraenkel,type,
    p2_s11_fraenkel: $i > $o ).

thf(tp_p2_s12_fraenkel,type,
    p2_s12_fraenkel: $i > $o ).

thf(tp_p2_s13_fraenkel,type,
    p2_s13_fraenkel: $i > $o ).

thf(tp_p2_s14_fraenkel,type,
    p2_s14_fraenkel: $i > $o ).

thf(tp_p2_s15_fraenkel,type,
    p2_s15_fraenkel: $i > $o ).

thf(tp_p2_s16_fraenkel,type,
    p2_s16_fraenkel: $i > $i > $o ).

thf(tp_p2_s19_fraenkel,type,
    p2_s19_fraenkel: $i > $i > $o ).

thf(tp_p2_s1_fraenkel,type,
    p2_s1_fraenkel: $i > $o ).

thf(tp_p2_s2_fraenkel,type,
    p2_s2_fraenkel: $i > $i > $o ).

thf(tp_p2_s3_fraenkel,type,
    p2_s3_fraenkel: $i > $o ).

thf(tp_p2_s4_fraenkel,type,
    p2_s4_fraenkel: $i > $i > $o ).

thf(tp_p2_s8_fraenkel,type,
    p2_s8_fraenkel: $i > $i > $o ).

thf(tp_p2_s9_fraenkel,type,
    p2_s9_fraenkel: $i > $o ).

thf(tp_r1_arytm_2,type,
    r1_arytm_2: $i > $i > $o ).

thf(tp_r1_binop_1,type,
    r1_binop_1: $i > $i > $i > $o ).

thf(tp_r1_borsuk_1,type,
    r1_borsuk_1: $i > $i > $o ).

thf(tp_r1_cat_1,type,
    r1_cat_1: $i > $i > $i > $o ).

thf(tp_r1_cat_2,type,
    r1_cat_2: $i > $i > $o ).

thf(tp_r1_classes1,type,
    r1_classes1: $i > $i > $o ).

thf(tp_r1_compts_1,type,
    r1_compts_1: $i > $i > $i > $o ).

thf(tp_r1_filter_0,type,
    r1_filter_0: $i > $i > $i > $i > $o ).

thf(tp_r1_filter_1,type,
    r1_filter_1: $i > $i > $o ).

thf(tp_r1_finseqop,type,
    r1_finseqop: $i > $i > $i > $o ).

thf(tp_r1_grcat_1,type,
    r1_grcat_1: $i > $i > $o ).

thf(tp_r1_group_2,type,
    r1_group_2: $i > $i > $i > $o ).

thf(tp_r1_group_6,type,
    r1_group_6: $i > $i > $o ).

thf(tp_r1_int_1,type,
    r1_int_1: $i > $i > $i > $o ).

thf(tp_r1_lattice2,type,
    r1_lattice2: $i > $i > $i > $o ).

thf(tp_r1_lattice4,type,
    r1_lattice4: $i > $i > $i > $o ).

thf(tp_r1_lattices,type,
    r1_lattices: $i > $i > $i > $o ).

thf(tp_r1_nat_1,type,
    r1_nat_1: $i > $i > $o ).

thf(tp_r1_ordinal1,type,
    r1_ordinal1: $i > $i > $o ).

thf(tp_r1_ordinal2,type,
    r1_ordinal2: $i > $i > $o ).

thf(tp_r1_partfun1,type,
    r1_partfun1: $i > $i > $o ).

thf(tp_r1_pre_topc,type,
    r1_pre_topc: $i > $i > $o ).

thf(tp_r1_qc_lang2,type,
    r1_qc_lang2: $i > $i > $o ).

thf(tp_r1_realset1,type,
    r1_realset1: $i > $i > $i > $o ).

thf(tp_r1_relat_2,type,
    r1_relat_2: $i > $i > $o ).

thf(tp_r1_rfinseq,type,
    r1_rfinseq: $i > $i > $o ).

thf(tp_r1_rlvect_1,type,
    r1_rlvect_1: $i > $i > $o ).

thf(tp_r1_setfam_1,type,
    r1_setfam_1: $i > $i > $o ).

thf(tp_r1_subset_1,type,
    r1_subset_1: $i > $i > $o ).

thf(tp_r1_tarski,type,
    r1_tarski: $i > $i > $o ).

thf(tp_r1_xboole_0,type,
    r1_xboole_0: $i > $i > $o ).

thf(tp_r1_xreal_0,type,
    r1_xreal_0: $i > $i > $o ).

thf(tp_r2_binop_1,type,
    r2_binop_1: $i > $i > $i > $o ).

thf(tp_r2_borsuk_1,type,
    r2_borsuk_1: $i > $i > $o ).

thf(tp_r2_group_6,type,
    r2_group_6: $i > $i > $o ).

thf(tp_r2_hidden,type,
    r2_hidden: $i > $i > $o ).

thf(tp_r2_int_1,type,
    r2_int_1: $i > $i > $o ).

thf(tp_r2_lattice4,type,
    r2_lattice4: $i > $i > $i > $o ).

thf(tp_r2_lattices,type,
    r2_lattices: $i > $i > $i > $o ).

thf(tp_r2_qc_lang2,type,
    r2_qc_lang2: $i > $i > $o ).

thf(tp_r2_realset1,type,
    r2_realset1: $i > $i > $i > $o ).

thf(tp_r2_relat_2,type,
    r2_relat_2: $i > $i > $o ).

thf(tp_r2_setfam_1,type,
    r2_setfam_1: $i > $i > $o ).

thf(tp_r2_subset_1,type,
    r2_subset_1: $i > $i > $o ).

thf(tp_r2_tarski,type,
    r2_tarski: $i > $i > $o ).

thf(tp_r2_wellord2,type,
    r2_wellord2: $i > $i > $o ).

thf(tp_r2_xboole_0,type,
    r2_xboole_0: $i > $i > $o ).

thf(tp_r3_binop_1,type,
    r3_binop_1: $i > $i > $i > $o ).

thf(tp_r3_lattice4,type,
    r3_lattice4: $i > $i > $i > $o ).

thf(tp_r3_lattices,type,
    r3_lattices: $i > $i > $i > $o ).

thf(tp_r3_qc_lang2,type,
    r3_qc_lang2: $i > $i > $o ).

thf(tp_r3_relat_2,type,
    r3_relat_2: $i > $i > $o ).

thf(tp_r3_xboole_0,type,
    r3_xboole_0: $i > $i > $o ).

thf(tp_r4_binop_1,type,
    r4_binop_1: $i > $i > $i > $o ).

thf(tp_r4_lattice4,type,
    r4_lattice4: $i > $i > $i > $o ).

thf(tp_r4_relat_2,type,
    r4_relat_2: $i > $i > $o ).

thf(tp_r4_wellord1,type,
    r4_wellord1: $i > $i > $o ).

thf(tp_r5_binop_1,type,
    r5_binop_1: $i > $i > $i > $o ).

thf(tp_r5_relat_2,type,
    r5_relat_2: $i > $i > $o ).

thf(tp_r6_binop_1,type,
    r6_binop_1: $i > $i > $i > $o ).

thf(tp_r6_relat_2,type,
    r6_relat_2: $i > $i > $o ).

thf(tp_r7_binop_1,type,
    r7_binop_1: $i > $i > $i > $o ).

thf(tp_r7_relat_2,type,
    r7_relat_2: $i > $i > $o ).

thf(tp_r8_relat_2,type,
    r8_relat_2: $i > $i > $o ).

thf(tp_sK10_C,type,
    sK10_C: $i > $i > $i ).

thf(tp_sK11_B,type,
    sK11_B: $i > $i ).

thf(tp_sK12_SY394,type,
    sK12_SY394: $i > $i ).

thf(tp_sK13_A,type,
    sK13_A: $i ).

thf(tp_sK14_B,type,
    sK14_B: $i > $i ).

thf(tp_sK15_A,type,
    sK15_A: $i ).

thf(tp_sK16_A,type,
    sK16_A: $i ).

thf(tp_sK17_A,type,
    sK17_A: $i ).

thf(tp_sK18_A,type,
    sK18_A: $i ).

thf(tp_sK19_A,type,
    sK19_A: $i ).

thf(tp_sK1_A,type,
    sK1_A: $i ).

thf(tp_sK20_A,type,
    sK20_A: $i ).

thf(tp_sK21_A,type,
    sK21_A: $i ).

thf(tp_sK22_A,type,
    sK22_A: $i ).

thf(tp_sK23_A,type,
    sK23_A: $i ).

thf(tp_sK24_A,type,
    sK24_A: $i ).

thf(tp_sK25_A,type,
    sK25_A: $i ).

thf(tp_sK26_A,type,
    sK26_A: $i ).

thf(tp_sK27_A,type,
    sK27_A: $i ).

thf(tp_sK28_A,type,
    sK28_A: $i ).

thf(tp_sK29_A,type,
    sK29_A: $i ).

thf(tp_sK2_B,type,
    sK2_B: $i > $i ).

thf(tp_sK30_A,type,
    sK30_A: $i ).

thf(tp_sK31_A,type,
    sK31_A: $i ).

thf(tp_sK32_A,type,
    sK32_A: $i ).

thf(tp_sK33_A,type,
    sK33_A: $i ).

thf(tp_sK34_A,type,
    sK34_A: $i ).

thf(tp_sK35_A,type,
    sK35_A: $i ).

thf(tp_sK36_A,type,
    sK36_A: $i ).

thf(tp_sK37_A,type,
    sK37_A: $i ).

thf(tp_sK38_A,type,
    sK38_A: $i ).

thf(tp_sK39_A,type,
    sK39_A: $i ).

thf(tp_sK3_C,type,
    sK3_C: $i > $i > $i ).

thf(tp_sK40_A,type,
    sK40_A: $i ).

thf(tp_sK41_A,type,
    sK41_A: $i ).

thf(tp_sK42_A,type,
    sK42_A: $i ).

thf(tp_sK43_A,type,
    sK43_A: $i ).

thf(tp_sK44_A,type,
    sK44_A: $i ).

thf(tp_sK45_A,type,
    sK45_A: $i ).

thf(tp_sK46_A,type,
    sK46_A: $i ).

thf(tp_sK47_A,type,
    sK47_A: $i ).

thf(tp_sK48_A,type,
    sK48_A: $i ).

thf(tp_sK49_B,type,
    sK49_B: $i > $i ).

thf(tp_sK4_C,type,
    sK4_C: $i > $i > $i ).

thf(tp_sK50_B,type,
    sK50_B: $i > $i ).

thf(tp_sK51_C,type,
    sK51_C: $i > $i > $i ).

thf(tp_sK52_C,type,
    sK52_C: $i > $i > $i ).

thf(tp_sK53_B,type,
    sK53_B: $i > $i ).

thf(tp_sK54_B,type,
    sK54_B: $i > $i ).

thf(tp_sK55_B,type,
    sK55_B: $i > $i ).

thf(tp_sK56_A,type,
    sK56_A: $i ).

thf(tp_sK57_A,type,
    sK57_A: $i ).

thf(tp_sK58_A,type,
    sK58_A: $i ).

thf(tp_sK59_A,type,
    sK59_A: $i ).

thf(tp_sK5_A,type,
    sK5_A: $i ).

thf(tp_sK60_A,type,
    sK60_A: $i ).

thf(tp_sK61_A,type,
    sK61_A: $i ).

thf(tp_sK62_A,type,
    sK62_A: $i ).

thf(tp_sK63_A,type,
    sK63_A: $i ).

thf(tp_sK64_A,type,
    sK64_A: $i ).

thf(tp_sK65_A,type,
    sK65_A: $i ).

thf(tp_sK66_B,type,
    sK66_B: $i > $i ).

thf(tp_sK67_B,type,
    sK67_B: $i > $i ).

thf(tp_sK68_B,type,
    sK68_B: $i > $i ).

thf(tp_sK69_B,type,
    sK69_B: $i > $i ).

thf(tp_sK6_A,type,
    sK6_A: $i ).

thf(tp_sK70_A,type,
    sK70_A: $i ).

thf(tp_sK71_A,type,
    sK71_A: $i ).

thf(tp_sK72_A,type,
    sK72_A: $i ).

thf(tp_sK73_A,type,
    sK73_A: $i ).

thf(tp_sK74_A,type,
    sK74_A: $i ).

thf(tp_sK75_A,type,
    sK75_A: $i ).

thf(tp_sK76_A,type,
    sK76_A: $i ).

thf(tp_sK77_A,type,
    sK77_A: $i ).

thf(tp_sK78_A,type,
    sK78_A: $i ).

thf(tp_sK7_B,type,
    sK7_B: $i > $i ).

thf(tp_sK8_B,type,
    sK8_B: $i > $i ).

thf(tp_sK9_C,type,
    sK9_C: $i > $i > $i ).

thf(tp_u1_cat_1,type,
    u1_cat_1: $i > $i ).

thf(tp_u1_grcat_1,type,
    u1_grcat_1: $i > $i ).

thf(tp_u1_group_1,type,
    u1_group_1: $i > $i ).

thf(tp_u1_lattices,type,
    u1_lattices: $i > $i ).

thf(tp_u1_pre_topc,type,
    u1_pre_topc: $i > $i ).

thf(tp_u1_rlvect_1,type,
    u1_rlvect_1: $i > $i ).

thf(tp_u1_struct_0,type,
    u1_struct_0: $i > $i ).

thf(tp_u1_vectsp_1,type,
    u1_vectsp_1: $i > $i ).

thf(tp_u2_cat_1,type,
    u2_cat_1: $i > $i ).

thf(tp_u2_grcat_1,type,
    u2_grcat_1: $i > $i ).

thf(tp_u2_lattices,type,
    u2_lattices: $i > $i ).

thf(tp_u2_rlvect_1,type,
    u2_rlvect_1: $i > $i ).

thf(tp_u2_struct_0,type,
    u2_struct_0: $i > $i ).

thf(tp_u2_vectsp_1,type,
    u2_vectsp_1: $i > $i > $i ).

thf(tp_u3_cat_1,type,
    u3_cat_1: $i > $i ).

thf(tp_u3_grcat_1,type,
    u3_grcat_1: $i > $i ).

thf(tp_u4_cat_1,type,
    u4_cat_1: $i > $i ).

thf(tp_u5_cat_1,type,
    u5_cat_1: $i > $i ).

thf(tp_u6_cat_1,type,
    u6_cat_1: $i > $i ).

thf(tp_v10_cat_1,type,
    v10_cat_1: $i > $i > $i > $o ).

thf(tp_v10_lattices,type,
    v10_lattices: $i > $o ).

thf(tp_v10_vectsp_1,type,
    v10_vectsp_1: $i > $o ).

thf(tp_v11_lattices,type,
    v11_lattices: $i > $o ).

thf(tp_v11_vectsp_1,type,
    v11_vectsp_1: $i > $i > $o ).

thf(tp_v12_lattices,type,
    v12_lattices: $i > $o ).

thf(tp_v12_vectsp_1,type,
    v12_vectsp_1: $i > $i > $o ).

thf(tp_v13_lattices,type,
    v13_lattices: $i > $o ).

thf(tp_v13_vectsp_1,type,
    v13_vectsp_1: $i > $o ).

thf(tp_v14_lattices,type,
    v14_lattices: $i > $o ).

thf(tp_v15_lattices,type,
    v15_lattices: $i > $o ).

thf(tp_v16_lattices,type,
    v16_lattices: $i > $o ).

thf(tp_v17_lattices,type,
    v17_lattices: $i > $o ).

thf(tp_v1_algstr_1,type,
    v1_algstr_1: $i > $o ).

thf(tp_v1_binop_1,type,
    v1_binop_1: $i > $i > $o ).

thf(tp_v1_borsuk_1,type,
    v1_borsuk_1: $i > $i > $o ).

thf(tp_v1_card_1,type,
    v1_card_1: $i > $o ).

thf(tp_v1_card_4,type,
    v1_card_4: $i > $o ).

thf(tp_v1_cat_1,type,
    v1_cat_1: $i > $o ).

thf(tp_v1_classes1,type,
    v1_classes1: $i > $o ).

thf(tp_v1_classes2,type,
    v1_classes2: $i > $o ).

thf(tp_v1_cqc_lang,type,
    v1_cqc_lang: $i > $i > $o ).

thf(tp_v1_filter_0,type,
    v1_filter_0: $i > $i > $o ).

thf(tp_v1_finseq_1,type,
    v1_finseq_1: $i > $o ).

thf(tp_v1_finseqop,type,
    v1_finseqop: $i > $i > $o ).

thf(tp_v1_finset_1,type,
    v1_finset_1: $i > $o ).

thf(tp_v1_finsub_1,type,
    v1_finsub_1: $i > $o ).

thf(tp_v1_fraenkel,type,
    v1_fraenkel: $i > $o ).

thf(tp_v1_funct_1,type,
    v1_funct_1: $i > $o ).

thf(tp_v1_funct_2,type,
    v1_funct_2: $i > $i > $i > $o ).

thf(tp_v1_grcat_1,type,
    v1_grcat_1: $i > $i > $i > $o ).

thf(tp_v1_group_1,type,
    v1_group_1: $i > $o ).

thf(tp_v1_group_3,type,
    v1_group_3: $i > $i > $o ).

thf(tp_v1_group_6,type,
    v1_group_6: $i > $i > $i > $o ).

thf(tp_v1_int_1,type,
    v1_int_1: $i > $o ).

thf(tp_v1_lattice2,type,
    v1_lattice2: $i > $o ).

thf(tp_v1_lattice4,type,
    v1_lattice4: $i > $i > $i > $o ).

thf(tp_v1_lattices,type,
    v1_lattices: $i > $o ).

thf(tp_v1_membered,type,
    v1_membered: $i > $o ).

thf(tp_v1_midsp_2,type,
    v1_midsp_2: $i > $o ).

thf(tp_v1_ordinal1,type,
    v1_ordinal1: $i > $o ).

thf(tp_v1_ordinal2,type,
    v1_ordinal2: $i > $o ).

thf(tp_v1_partfun1,type,
    v1_partfun1: $i > $i > $i > $o ).

thf(tp_v1_pre_topc,type,
    v1_pre_topc: $i > $o ).

thf(tp_v1_qc_lang1,type,
    v1_qc_lang1: $i > $o ).

thf(tp_v1_qc_lang2,type,
    v1_qc_lang2: $i > $o ).

thf(tp_v1_rat_1,type,
    v1_rat_1: $i > $o ).

thf(tp_v1_realset1,type,
    v1_realset1: $i > $o ).

thf(tp_v1_realset2,type,
    v1_realset2: $i > $o ).

thf(tp_v1_relat_1,type,
    v1_relat_1: $i > $o ).

thf(tp_v1_relat_2,type,
    v1_relat_2: $i > $o ).

thf(tp_v1_rfinseq,type,
    v1_rfinseq: $i > $o ).

thf(tp_v1_rlvect_1,type,
    v1_rlvect_1: $i > $o ).

thf(tp_v1_setfam_1,type,
    v1_setfam_1: $i > $o ).

thf(tp_v1_setwiseo,type,
    v1_setwiseo: $i > $i > $o ).

thf(tp_v1_struct_0,type,
    v1_struct_0: $i > $o ).

thf(tp_v1_tops_1,type,
    v1_tops_1: $i > $i > $o ).

thf(tp_v1_tops_2,type,
    v1_tops_2: $i > $i > $o ).

thf(tp_v1_vectsp_1,type,
    v1_vectsp_1: $i > $o ).

thf(tp_v1_xboole_0,type,
    v1_xboole_0: $i > $o ).

thf(tp_v1_xcmplx_0,type,
    v1_xcmplx_0: $i > $o ).

thf(tp_v1_xreal_0,type,
    v1_xreal_0: $i > $o ).

thf(tp_v2_algstr_1,type,
    v2_algstr_1: $i > $o ).

thf(tp_v2_binop_1,type,
    v2_binop_1: $i > $i > $o ).

thf(tp_v2_borsuk_1,type,
    v2_borsuk_1: $i > $i > $o ).

thf(tp_v2_card_1,type,
    v2_card_1: $i > $o ).

thf(tp_v2_cat_1,type,
    v2_cat_1: $i > $o ).

thf(tp_v2_classes1,type,
    v2_classes1: $i > $o ).

thf(tp_v2_filter_0,type,
    v2_filter_0: $i > $i > $o ).

thf(tp_v2_finseq_1,type,
    v2_finseq_1: $i > $o ).

thf(tp_v2_finsub_1,type,
    v2_finsub_1: $i > $o ).

thf(tp_v2_funct_1,type,
    v2_funct_1: $i > $o ).

thf(tp_v2_funct_2,type,
    v2_funct_2: $i > $i > $i > $o ).

thf(tp_v2_grcat_1,type,
    v2_grcat_1: $i > $o ).

thf(tp_v2_group_1,type,
    v2_group_1: $i > $o ).

thf(tp_v2_group_6,type,
    v2_group_6: $i > $i > $i > $o ).

thf(tp_v2_lattice4,type,
    v2_lattice4: $i > $i > $i > $o ).

thf(tp_v2_lattices,type,
    v2_lattices: $i > $o ).

thf(tp_v2_membered,type,
    v2_membered: $i > $o ).

thf(tp_v2_ordinal1,type,
    v2_ordinal1: $i > $o ).

thf(tp_v2_ordinal2,type,
    v2_ordinal2: $i > $o ).

thf(tp_v2_pre_topc,type,
    v2_pre_topc: $i > $o ).

thf(tp_v2_qc_lang1,type,
    v2_qc_lang1: $i > $o ).

thf(tp_v2_qc_lang2,type,
    v2_qc_lang2: $i > $o ).

thf(tp_v2_realset2,type,
    v2_realset2: $i > $o ).

thf(tp_v2_relat_1,type,
    v2_relat_1: $i > $o ).

thf(tp_v2_relat_2,type,
    v2_relat_2: $i > $o ).

thf(tp_v2_rlvect_1,type,
    v2_rlvect_1: $i > $o ).

thf(tp_v2_setfam_1,type,
    v2_setfam_1: $i > $o ).

thf(tp_v2_struct_0,type,
    v2_struct_0: $i > $o ).

thf(tp_v2_tops_1,type,
    v2_tops_1: $i > $i > $o ).

thf(tp_v2_vectsp_1,type,
    v2_vectsp_1: $i > $o ).

thf(tp_v2_wellord1,type,
    v2_wellord1: $i > $o ).

thf(tp_v2_xreal_0,type,
    v2_xreal_0: $i > $o ).

thf(tp_v3_algstr_1,type,
    v3_algstr_1: $i > $o ).

thf(tp_v3_binop_1,type,
    v3_binop_1: $i > $i > $o ).

thf(tp_v3_borsuk_1,type,
    v3_borsuk_1: $i > $i > $i > $o ).

thf(tp_v3_cat_1,type,
    v3_cat_1: $i > $i > $o ).

thf(tp_v3_filter_0,type,
    v3_filter_0: $i > $o ).

thf(tp_v3_finsub_1,type,
    v3_finsub_1: $i > $o ).

thf(tp_v3_funct_2,type,
    v3_funct_2: $i > $i > $i > $o ).

thf(tp_v3_grcat_1,type,
    v3_grcat_1: $i > $o ).

thf(tp_v3_group_1,type,
    v3_group_1: $i > $o ).

thf(tp_v3_group_6,type,
    v3_group_6: $i > $i > $i > $o ).

thf(tp_v3_lattice4,type,
    v3_lattice4: $i > $i > $i > $o ).

thf(tp_v3_lattices,type,
    v3_lattices: $i > $o ).

thf(tp_v3_membered,type,
    v3_membered: $i > $o ).

thf(tp_v3_ordinal1,type,
    v3_ordinal1: $i > $o ).

thf(tp_v3_ordinal2,type,
    v3_ordinal2: $i > $o ).

thf(tp_v3_pre_topc,type,
    v3_pre_topc: $i > $i > $o ).

thf(tp_v3_qc_lang1,type,
    v3_qc_lang1: $i > $o ).

thf(tp_v3_qc_lang2,type,
    v3_qc_lang2: $i > $o ).

thf(tp_v3_realset2,type,
    v3_realset2: $i > $o ).

thf(tp_v3_relat_1,type,
    v3_relat_1: $i > $o ).

thf(tp_v3_relat_2,type,
    v3_relat_2: $i > $o ).

thf(tp_v3_rlvect_1,type,
    v3_rlvect_1: $i > $o ).

thf(tp_v3_struct_0,type,
    v3_struct_0: $i > $o ).

thf(tp_v3_tops_1,type,
    v3_tops_1: $i > $i > $o ).

thf(tp_v3_vectsp_1,type,
    v3_vectsp_1: $i > $o ).

thf(tp_v3_xreal_0,type,
    v3_xreal_0: $i > $o ).

thf(tp_v4_algstr_1,type,
    v4_algstr_1: $i > $o ).

thf(tp_v4_cat_1,type,
    v4_cat_1: $i > $i > $o ).

thf(tp_v4_finsub_1,type,
    v4_finsub_1: $i > $o ).

thf(tp_v4_grcat_1,type,
    v4_grcat_1: $i > $o ).

thf(tp_v4_group_1,type,
    v4_group_1: $i > $o ).

thf(tp_v4_group_6,type,
    v4_group_6: $i > $i > $i > $o ).

thf(tp_v4_lattices,type,
    v4_lattices: $i > $o ).

thf(tp_v4_membered,type,
    v4_membered: $i > $o ).

thf(tp_v4_ordinal1,type,
    v4_ordinal1: $i > $o ).

thf(tp_v4_ordinal2,type,
    v4_ordinal2: $i > $o ).

thf(tp_v4_pre_topc,type,
    v4_pre_topc: $i > $i > $o ).

thf(tp_v4_qc_lang1,type,
    v4_qc_lang1: $i > $o ).

thf(tp_v4_qc_lang2,type,
    v4_qc_lang2: $i > $o ).

thf(tp_v4_realset2,type,
    v4_realset2: $i > $o ).

thf(tp_v4_relat_2,type,
    v4_relat_2: $i > $o ).

thf(tp_v4_rlvect_1,type,
    v4_rlvect_1: $i > $o ).

thf(tp_v4_tops_1,type,
    v4_tops_1: $i > $i > $o ).

thf(tp_v4_vectsp_1,type,
    v4_vectsp_1: $i > $o ).

thf(tp_v5_algstr_1,type,
    v5_algstr_1: $i > $o ).

thf(tp_v5_cat_1,type,
    v5_cat_1: $i > $i > $o ).

thf(tp_v5_grcat_1,type,
    v5_grcat_1: $i > $o ).

thf(tp_v5_group_1,type,
    v5_group_1: $i > $i > $o ).

thf(tp_v5_lattices,type,
    v5_lattices: $i > $o ).

thf(tp_v5_membered,type,
    v5_membered: $i > $o ).

thf(tp_v5_ordinal1,type,
    v5_ordinal1: $i > $o ).

thf(tp_v5_pre_topc,type,
    v5_pre_topc: $i > $i > $i > $o ).

thf(tp_v5_qc_lang1,type,
    v5_qc_lang1: $i > $o ).

thf(tp_v5_relat_2,type,
    v5_relat_2: $i > $o ).

thf(tp_v5_rlvect_1,type,
    v5_rlvect_1: $i > $o ).

thf(tp_v5_tops_1,type,
    v5_tops_1: $i > $i > $o ).

thf(tp_v5_vectsp_1,type,
    v5_vectsp_1: $i > $o ).

thf(tp_v6_algstr_1,type,
    v6_algstr_1: $i > $o ).

thf(tp_v6_cat_1,type,
    v6_cat_1: $i > $i > $o ).

thf(tp_v6_compts_1,type,
    v6_compts_1: $i > $i > $o ).

thf(tp_v6_group_1,type,
    v6_group_1: $i > $o ).

thf(tp_v6_lattices,type,
    v6_lattices: $i > $o ).

thf(tp_v6_ordinal1,type,
    v6_ordinal1: $i > $o ).

thf(tp_v6_qc_lang1,type,
    v6_qc_lang1: $i > $o ).

thf(tp_v6_relat_2,type,
    v6_relat_2: $i > $o ).

thf(tp_v6_rlvect_1,type,
    v6_rlvect_1: $i > $o ).

thf(tp_v6_tops_1,type,
    v6_tops_1: $i > $i > $o ).

thf(tp_v6_vectsp_1,type,
    v6_vectsp_1: $i > $o ).

thf(tp_v7_cat_1,type,
    v7_cat_1: $i > $i > $o ).

thf(tp_v7_group_1,type,
    v7_group_1: $i > $o ).

thf(tp_v7_lattices,type,
    v7_lattices: $i > $o ).

thf(tp_v7_relat_2,type,
    v7_relat_2: $i > $o ).

thf(tp_v7_rlvect_1,type,
    v7_rlvect_1: $i > $o ).

thf(tp_v7_vectsp_1,type,
    v7_vectsp_1: $i > $o ).

thf(tp_v8_cat_1,type,
    v8_cat_1: $i > $i > $i > $o ).

thf(tp_v8_lattices,type,
    v8_lattices: $i > $o ).

thf(tp_v8_relat_2,type,
    v8_relat_2: $i > $o ).

thf(tp_v8_rlvect_1,type,
    v8_rlvect_1: $i > $i > $o ).

thf(tp_v8_vectsp_1,type,
    v8_vectsp_1: $i > $o ).

thf(tp_v9_cat_1,type,
    v9_cat_1: $i > $i > $i > $o ).

thf(tp_v9_lattices,type,
    v9_lattices: $i > $o ).

thf(tp_v9_vectsp_1,type,
    v9_vectsp_1: $i > $o ).

thf(1,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( r1_filter_1 @ A @ ( k12_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_lopclset) ).

thf(2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( v3_lattice4 @ ( k13_lopclset @ A ) @ A @ ( k12_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_lopclset) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( k2_relat_1 @ ( k13_lopclset @ A ) )
        = ( u1_struct_0 @ ( k12_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_lopclset) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( k10_lopclset @ A )
        = ( k1_lopclset @ ( k11_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_lopclset) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( r1_tarski @ ( k10_lopclset @ A ) @ ( k1_lopclset @ ( k11_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l49_lopclset) ).

thf(16,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( k3_tarski @ ( k10_lopclset @ A ) )
        = ( k7_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_lopclset) ).

thf(17,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( v2_funct_1 @ ( k9_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_lopclset) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( k12_lopclset @ A )
        = ( k6_lopclset @ ( k11_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lopclset) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ~ ( v3_struct_0 @ ( k11_lopclset @ A ) )
        & ( v1_pre_topc @ ( k11_lopclset @ A ) )
        & ( v2_pre_topc @ ( k11_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lopclset) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ~ ( v1_xboole_0 @ ( k10_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lopclset) ).

thf(27,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( k10_lopclset @ A )
        = ( k2_relat_1 @ ( k9_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_lopclset) ).

thf(37,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ~ ( v1_xboole_0 @ ( k7_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_lopclset) ).

thf(38,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( k7_lopclset @ A )
        = ( a_1_1_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lopclset) ).

thf(40,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( m1_subset_1 @ ( k1_pre_topc @ A ) @ ( u1_struct_0 @ ( k6_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_lopclset) ).

thf(41,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( m1_subset_1 @ ( k2_pre_topc @ A ) @ ( u1_struct_0 @ ( k6_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_lopclset) ).

thf(42,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( v17_lattices @ ( k6_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_lopclset) ).

thf(43,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( ( u1_struct_0 @ ( k6_lopclset @ A ) )
        = ( k1_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_lopclset) ).

thf(59,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ~ ( v1_xboole_0 @ ( k1_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lopclset) ).

thf(60,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l1_pre_topc @ A ) )
     => ( ( k1_lopclset @ A )
        = ( a_1_0_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_lopclset) ).

thf(61,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( k13_lopclset @ A )
        = ( k8_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k13_lopclset) ).

thf(62,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( m1_lattice4 @ ( k13_lopclset @ A ) @ A @ ( k12_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k13_lopclset) ).

thf(63,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ~ ( v3_struct_0 @ ( k12_lopclset @ A ) )
        & ( v10_lattices @ ( k12_lopclset @ A ) )
        & ( l3_lattices @ ( k12_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_lopclset) ).

thf(64,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( v1_pre_topc @ ( k11_lopclset @ A ) )
        & ( v2_pre_topc @ ( k11_lopclset @ A ) )
        & ( l1_pre_topc @ ( k11_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_lopclset) ).

thf(66,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( k9_lopclset @ A )
        = ( k8_lopclset @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).

thf(68,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( v1_relat_1 @ ( k8_lopclset @ A ) )
        & ( v1_funct_1 @ ( k8_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_lopclset) ).

thf(70,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( ~ ( v3_struct_0 @ ( k6_lopclset @ A ) )
        & ( v10_lattices @ ( k6_lopclset @ A ) )
        & ( l3_lattices @ ( k6_lopclset @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lopclset) ).

thf(92,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ( l3_lattices @ A ) )
     => ? [B: $i] : ( m3_lattice4 @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m3_lattice4) ).

thf(94,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ? [B: $i] : ( m2_lattice4 @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_lattice4) ).

thf(96,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ~ ( v3_struct_0 @ B )
        & ( v10_lattices @ B )
        & ( l3_lattices @ B ) )
     => ? [C: $i] : ( m1_lattice4 @ C @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_lattice4) ).

thf(107,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m3_lattice4 @ B @ A )
         => ( m2_lattice4 @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_lattice4) ).

thf(108,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( m3_lattice4 @ ( u1_struct_0 @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_lattice4) ).

thf(132,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( v11_lattices @ B )
            & ( l3_lattices @ B ) )
         => ! [C: $i] :
              ( ( m1_lattice4 @ C @ B @ A )
             => ( ( v2_lattice4 @ C @ B @ A )
               => ( v11_lattices @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice4) ).

thf(142,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ( m2_lattice4 @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_lattice4) ).

thf(143,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( m2_lattice4 @ ( u1_struct_0 @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_lattice4) ).

thf(149,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( r1_filter_1 @ A @ B )
          <=> ? [C: $i] :
                ( ( m1_lattice4 @ C @ A @ B )
                & ( v3_lattice4 @ C @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lattice4) ).

thf(159,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( v2_filter_0 @ ( k1_filter_0 @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_lattice4) ).

thf(164,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ? [B: $i] :
          ( ( m2_lattice4 @ B @ A )
          & ~ ( v1_xboole_0 @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_lattice4) ).

thf(288,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l1_struct_0 @ A ) )
     => ( ( v3_realset2 @ A )
      <=> ? [B: $i] :
            ( ( u1_struct_0 @ A )
            = ( k1_tarski @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_group_6) ).

thf(363,axiom,
    ! [A: $i,B: $i] :
      ( ( ( l1_struct_0 @ A )
        & ( l1_struct_0 @ B ) )
     => ? [C: $i] : ( m5_grcat_1 @ C @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m5_grcat_1) ).

thf(477,axiom,
    ! [A: $i,B: $i] :
      ( ( ( l1_struct_0 @ A )
        & ~ ( v3_struct_0 @ B )
        & ( l1_struct_0 @ B ) )
     => ? [C: $i] :
          ( ( m5_grcat_1 @ C @ A @ B )
          & ~ ( v1_xboole_0 @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc8_grcat_1) ).

thf(478,axiom,
    ! [A: $i,B: $i] :
      ( ( ( l1_struct_0 @ A )
        & ~ ( v3_struct_0 @ B )
        & ( l1_struct_0 @ B ) )
     => ~ ( v1_xboole_0 @ ( k17_grcat_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_grcat_1) ).

thf(480,axiom,
    ? [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
      & ( v5_grcat_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_grcat_1) ).

thf(482,axiom,
    ? [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
      & ( v4_grcat_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_grcat_1) ).

thf(505,axiom,
    l1_pre_topc @ k22_borsuk_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k22_borsuk_1) ).

thf(515,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( m1_eqrel_1 @ ( k15_borsuk_1 @ A ) @ ( u1_struct_0 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_borsuk_1) ).

thf(529,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A )
        & ( v2_pre_topc @ B )
        & ( l1_pre_topc @ B ) )
     => ( ( v1_pre_topc @ ( k6_borsuk_1 @ A @ B ) )
        & ( v2_pre_topc @ ( k6_borsuk_1 @ A @ B ) )
        & ( l1_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_borsuk_1) ).

thf(538,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ? [B: $i] : ( m1_borsuk_1 @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_borsuk_1) ).

thf(539,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ! [B: $i] :
          ( ( m1_borsuk_1 @ B @ A )
         => ( ~ ( v1_xboole_0 @ B )
            & ( m1_eqrel_1 @ B @ ( u1_struct_0 @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_borsuk_1) ).

thf(551,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( m1_borsuk_1 @ ( k15_borsuk_1 @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t82_borsuk_1) ).

thf(606,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ! [B: $i] :
          ( ( m1_pre_topc @ B @ A )
         => ( r1_tarski @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_borsuk_1) ).

thf(641,axiom,
    ( ~ ( v3_struct_0 @ k22_borsuk_1 )
    & ( v1_pre_topc @ k22_borsuk_1 )
    & ( v2_pre_topc @ k22_borsuk_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_borsuk_1) ).

thf(643,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ? [B: $i] :
          ( ( m1_pre_topc @ B @ A )
          & ~ ( v3_struct_0 @ B )
          & ( v1_pre_topc @ B )
          & ( v2_pre_topc @ B )
          & ( v1_borsuk_1 @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_borsuk_1) ).

thf(644,axiom,
    ! [A: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ? [B: $i] :
          ( ( m1_pre_topc @ B @ A )
          & ( v1_pre_topc @ B )
          & ( v2_pre_topc @ B )
          & ( v1_borsuk_1 @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_borsuk_1) ).

thf(646,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l1_struct_0 @ A ) )
     => ( ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ A ) )
        & ( v1_setfam_1 @ ( k15_borsuk_1 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_borsuk_1) ).

thf(647,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A )
        & ~ ( v3_struct_0 @ B )
        & ( v2_pre_topc @ B )
        & ( l1_pre_topc @ B ) )
     => ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ A @ B ) )
        & ( v1_pre_topc @ ( k6_borsuk_1 @ A @ B ) )
        & ( v2_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_borsuk_1) ).

thf(652,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( k9_filter_1 @ A )
        = ( a_1_0_filter_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_1) ).

thf(655,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( v1_relat_1 @ ( k9_filter_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_filter_1) ).

thf(656,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l3_lattices @ A )
        & ~ ( v3_struct_0 @ B )
        & ( l3_lattices @ B ) )
     => ( ( v3_lattices @ ( k8_filter_1 @ A @ B ) )
        & ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_filter_1) ).

thf(660,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_filter_0 @ B @ A ) )
     => ( ~ ( v3_struct_0 @ ( k5_filter_1 @ A @ B ) )
        & ( v3_lattices @ ( k5_filter_1 @ A @ B ) )
        & ( v10_lattices @ ( k5_filter_1 @ A @ B ) )
        & ( l3_lattices @ ( k5_filter_1 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_filter_1) ).

thf(665,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_filter_0 @ B @ A )
        & ( m1_filter_0 @ C @ A ) )
     => ( ( k1_filter_1 @ A @ B @ C )
        = ( k3_xboole_0 @ B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_filter_1) ).

thf(666,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_filter_0 @ B @ A )
        & ( m1_filter_0 @ C @ A ) )
     => ( ( k1_filter_1 @ A @ B @ B )
        = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k1_filter_1) ).

thf(667,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_filter_0 @ B @ A )
        & ( m1_filter_0 @ C @ A ) )
     => ( ( k1_filter_1 @ A @ B @ C )
        = ( k1_filter_1 @ A @ C @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k1_filter_1) ).

thf(668,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_filter_0 @ B @ A )
        & ( m1_filter_0 @ C @ A ) )
     => ( m1_filter_0 @ ( k1_filter_1 @ A @ B @ C ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_1) ).

thf(669,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ~ ( v3_struct_0 @ B )
        & ( v10_lattices @ B )
        & ( l3_lattices @ B ) )
     => ( r1_filter_1 @ A @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_filter_1) ).

thf(670,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ~ ( v3_struct_0 @ B )
        & ( v10_lattices @ B )
        & ( l3_lattices @ B ) )
     => ( ( r1_filter_1 @ A @ B )
       => ( r1_filter_1 @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_1) ).

thf(671,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ( v1_relat_1 @ B ) )
     => ? [C: $i] : ( m2_filter_1 @ C @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_filter_1) ).

thf(673,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ( v1_relat_1 @ B ) )
     => ? [C: $i] : ( m1_filter_1 @ C @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_filter_1) ).

thf(693,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( r1_filter_1 @ ( k8_filter_1 @ A @ B ) @ ( k8_filter_1 @ B @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_filter_1) ).

thf(694,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( k1_lattice2 @ ( k8_filter_1 @ A @ B ) )
            = ( k8_filter_1 @ ( k1_lattice2 @ A ) @ ( k1_lattice2 @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_filter_1) ).

thf(695,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( ( v3_filter_0 @ A )
              & ( v3_filter_0 @ B ) )
          <=> ( v3_filter_0 @ ( k8_filter_1 @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_filter_1) ).

thf(696,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( ~ ( v3_struct_0 @ A )
              & ( v10_lattices @ A )
              & ( v17_lattices @ A )
              & ( l3_lattices @ A )
              & ~ ( v3_struct_0 @ B )
              & ( v10_lattices @ B )
              & ( v17_lattices @ B )
              & ( l3_lattices @ B ) )
          <=> ( ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
              & ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
              & ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
              & ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_filter_1) ).

thf(697,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( ~ ( v3_struct_0 @ A )
              & ( v10_lattices @ A )
              & ( v15_lattices @ A )
              & ( v16_lattices @ A )
              & ( l3_lattices @ A )
              & ~ ( v3_struct_0 @ B )
              & ( v10_lattices @ B )
              & ( v15_lattices @ B )
              & ( v16_lattices @ B )
              & ( l3_lattices @ B ) )
          <=> ( ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
              & ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
              & ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
              & ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
              & ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_filter_1) ).

thf(701,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( ( v15_lattices @ A )
              & ( v15_lattices @ B ) )
          <=> ( v15_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_filter_1) ).

thf(702,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( ( v14_lattices @ A )
              & ( v14_lattices @ B ) )
          <=> ( v14_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_filter_1) ).

thf(703,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( ( v13_lattices @ A )
              & ( v13_lattices @ B ) )
          <=> ( v13_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_filter_1) ).

thf(704,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( ~ ( v3_struct_0 @ A )
              & ( v10_lattices @ A )
              & ( v11_lattices @ A )
              & ( l3_lattices @ A )
              & ~ ( v3_struct_0 @ B )
              & ( v10_lattices @ B )
              & ( v11_lattices @ B )
              & ( l3_lattices @ B ) )
          <=> ( ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
              & ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
              & ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
              & ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_filter_1) ).

thf(705,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( ( v12_lattices @ A )
              & ( v12_lattices @ B ) )
          <=> ( v12_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_filter_1) ).

thf(708,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( l3_lattices @ B ) )
         => ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
              & ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
              & ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) )
           => ( ~ ( v3_struct_0 @ A )
              & ( v10_lattices @ A )
              & ( l3_lattices @ A )
              & ~ ( v3_struct_0 @ B )
              & ( v10_lattices @ B )
              & ( l3_lattices @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_filter_1) ).

thf(709,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ! [C: $i] :
              ( ( ~ ( v3_struct_0 @ C )
                & ( v10_lattices @ C )
                & ( l3_lattices @ C ) )
             => ( ( ( r1_filter_1 @ A @ B )
                  & ( r1_filter_1 @ B @ C ) )
               => ( r1_filter_1 @ A @ C ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_filter_1) ).

thf(710,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( r1_filter_1 @ A @ B )
          <=> ( r4_wellord1 @ ( k9_filter_1 @ A ) @ ( k9_filter_1 @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_filter_1) ).

thf(724,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ( ~ ( v3_struct_0 @ ( k5_filter_1 @ A @ B ) )
            & ( v10_lattices @ ( k5_filter_1 @ A @ B ) )
            & ( v17_lattices @ ( k5_filter_1 @ A @ B ) )
            & ( l3_lattices @ ( k5_filter_1 @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_filter_1) ).

thf(725,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v3_filter_0 @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ( v3_filter_0 @ ( k5_filter_1 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_filter_1) ).

thf(750,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ! [C: $i] :
              ( ( m1_filter_0 @ C @ A )
             => ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_filter_1) ).

thf(752,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l3_lattices @ A )
        & ~ ( v3_struct_0 @ B )
        & ( l3_lattices @ B ) )
     => ( ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
        & ( v3_lattices @ ( k8_filter_1 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_filter_1) ).

thf(756,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( v3_lattices @ ( k1_lattice2 @ A ) )
        & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).

thf(757,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( v6_group_1 @ A )
      <=> ( v6_group_1 @ ( k1_lattice2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_lattice2) ).

thf(759,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( v1_lattice2 @ A )
      <=> ( ( v3_filter_0 @ A )
          & ( v13_lattices @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_lattice2) ).

thf(779,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( v11_lattices @ A )
          & ( l3_lattices @ A ) )
      <=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          & ( v10_lattices @ ( k1_lattice2 @ A ) )
          & ( v11_lattices @ ( k1_lattice2 @ A ) )
          & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_lattice2) ).

thf(780,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( v14_lattices @ A )
      <=> ( v13_lattices @ ( k1_lattice2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_lattice2) ).

thf(781,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( v13_lattices @ A )
      <=> ( v14_lattices @ ( k1_lattice2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_lattice2) ).

thf(827,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( k1_lattice2 @ ( k1_lattice2 @ A ) )
        = A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_lattice2) ).

thf(861,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l3_lattices @ A ) )
     => ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
        & ( v3_lattices @ ( k1_lattice2 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).

thf(872,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_filter_0 @ B @ A ) )
     => ( v1_relat_1 @ ( k10_filter_0 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_filter_0) ).

thf(874,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_filter_0 @ B @ A ) )
     => ( ~ ( v3_struct_0 @ ( k8_filter_0 @ A @ B ) )
        & ( v10_lattices @ ( k8_filter_0 @ A @ B ) )
        & ( l3_lattices @ ( k8_filter_0 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_filter_0) ).

thf(875,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_filter_0 @ B @ A )
        & ( m1_filter_0 @ C @ A ) )
     => ( ( k7_filter_0 @ A @ B @ C )
        = ( k5_filter_0 @ A @ B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_filter_0) ).

thf(876,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_filter_0 @ B @ A )
        & ( m1_filter_0 @ C @ A ) )
     => ( m1_filter_0 @ ( k7_filter_0 @ A @ B @ C ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_filter_0) ).

thf(878,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v11_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_filter_0 @ B @ A )
        & ( m1_filter_0 @ C @ A ) )
     => ( m1_filter_0 @ ( k6_filter_0 @ A @ B @ C ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_filter_0) ).

thf(883,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( m1_filter_0 @ ( k1_filter_0 @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_0) ).

thf(884,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ? [B: $i] : ( m1_filter_0 @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_filter_0) ).

thf(910,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ( ( ~ ( v3_struct_0 @ A )
              & ( v10_lattices @ A )
              & ( v3_filter_0 @ A )
              & ( l3_lattices @ A ) )
           => ( v3_filter_0 @ ( k8_filter_0 @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_filter_0) ).

thf(911,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ( ( v11_lattices @ A )
           => ( v11_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_filter_0) ).

thf(912,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ( ( v12_lattices @ A )
           => ( v12_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t67_filter_0) ).

thf(913,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ( ( v14_lattices @ A )
           => ( v14_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_filter_0) ).

thf(917,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_lattices @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( k8_filter_0 @ A @ ( k1_filter_0 @ A ) )
        = A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_filter_0) ).

thf(922,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ( ( ( B
               != ( k1_filter_0 @ A ) )
              & ( v2_filter_0 @ B @ A ) )
          <=> ( v1_filter_0 @ B @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_filter_0) ).

thf(928,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ! [C: $i] :
              ( ( m1_filter_0 @ C @ A )
             => ( ( k3_filter_0 @ A @ ( k4_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) )
                = ( k7_filter_0 @ A @ B @ C ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_filter_0) ).

thf(939,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( v3_filter_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_filter_0) ).

thf(940,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v3_filter_0 @ A )
        & ( l3_lattices @ A ) )
     => ( v11_lattices @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_filter_0) ).

thf(942,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v3_filter_0 @ A )
        & ( l3_lattices @ A ) )
     => ( v14_lattices @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_filter_0) ).

thf(956,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ( ( k3_filter_0 @ A @ B )
            = B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_filter_0) ).

thf(969,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( k1_filter_0 @ A )
        = ( u1_struct_0 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).

thf(970,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( m1_filter_0 @ ( u1_struct_0 @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_0) ).

thf(1154,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( ( v3_realset2 @ A )
      <=> ! [B: $i] :
            ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
           => ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
               => ( B = C ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_realset2) ).

thf(1156,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( ( v3_realset2 @ A )
      <=> ( v1_realset1 @ ( u1_struct_0 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_realset2) ).

thf(1161,axiom,
    ? [A: $i] :
      ( ( l3_vectsp_1 @ A )
      & ( v3_vectsp_1 @ A )
      & ( v4_realset2 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_realset2) ).

thf(1162,axiom,
    ? [A: $i] :
      ( ( l3_vectsp_1 @ A )
      & ( v3_vectsp_1 @ A )
      & ~ ( v3_realset2 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_realset2) ).

thf(1163,axiom,
    ? [A: $i] :
      ( ( l1_struct_0 @ A )
      & ( v3_realset2 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_realset2) ).

thf(1179,axiom,
    ( ( v3_vectsp_1 @ k3_vectsp_1 )
    & ( l3_vectsp_1 @ k3_vectsp_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_vectsp_1) ).

thf(1181,axiom,
    ( ( v1_rlvect_1 @ k1_vectsp_1 )
    & ( l1_rlvect_1 @ k1_vectsp_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_vectsp_1) ).

thf(1186,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ? [B: $i] : ( l4_vectsp_1 @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l4_vectsp_1) ).

thf(1187,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ! [B: $i] :
          ( ( l4_vectsp_1 @ B @ A )
         => ( l1_rlvect_1 @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l4_vectsp_1) ).

thf(1188,axiom,
    ? [A: $i] : ( l3_vectsp_1 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_vectsp_1) ).

thf(1189,axiom,
    ! [A: $i] :
      ( ( l3_vectsp_1 @ A )
     => ( ( l1_rlvect_1 @ A )
        & ( l2_vectsp_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).

thf(1190,axiom,
    ? [A: $i] : ( l2_vectsp_1 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_vectsp_1) ).

thf(1191,axiom,
    ! [A: $i] :
      ( ( l2_vectsp_1 @ A )
     => ( ( l1_vectsp_1 @ A )
        & ( l2_struct_0 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_vectsp_1) ).

thf(1192,axiom,
    ? [A: $i] : ( l1_vectsp_1 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_vectsp_1) ).

thf(1193,axiom,
    ! [A: $i] :
      ( ( l1_vectsp_1 @ A )
     => ( l1_group_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_1) ).

thf(1318,axiom,
    ? [A: $i] :
      ( ( l1_rlvect_1 @ A )
      & ~ ( v3_struct_0 @ A )
      & ( v13_vectsp_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc14_vectsp_1) ).

thf(1332,axiom,
    ( ~ ( v3_struct_0 @ k3_vectsp_1 )
    & ( v2_group_1 @ k3_vectsp_1 )
    & ( v3_vectsp_1 @ k3_vectsp_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_vectsp_1) ).

thf(1333,axiom,
    ( ~ ( v3_struct_0 @ k3_vectsp_1 )
    & ( v3_vectsp_1 @ k3_vectsp_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_vectsp_1) ).

thf(1334,axiom,
    ? [A: $i] :
      ( ( l3_vectsp_1 @ A )
      & ~ ( v3_struct_0 @ A )
      & ( v3_vectsp_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_vectsp_1) ).

thf(1335,axiom,
    ? [A: $i] :
      ( ( l3_vectsp_1 @ A )
      & ( v3_vectsp_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_vectsp_1) ).

thf(1336,axiom,
    ? [A: $i] :
      ( ( l2_vectsp_1 @ A )
      & ~ ( v3_struct_0 @ A )
      & ( v2_vectsp_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_vectsp_1) ).

thf(1337,axiom,
    ? [A: $i] :
      ( ( l2_vectsp_1 @ A )
      & ( v2_vectsp_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_vectsp_1) ).

thf(1338,axiom,
    ? [A: $i] :
      ( ( l1_vectsp_1 @ A )
      & ~ ( v3_struct_0 @ A )
      & ( v1_vectsp_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_vectsp_1) ).

thf(1339,axiom,
    ? [A: $i] :
      ( ( l1_vectsp_1 @ A )
      & ( v1_vectsp_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_vectsp_1) ).

thf(1342,axiom,
    ( ~ ( v3_struct_0 @ k1_vectsp_1 )
    & ( v1_rlvect_1 @ k1_vectsp_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_vectsp_1) ).

thf(1359,axiom,
    ? [A: $i] : ( l1_group_1 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).

thf(1360,axiom,
    ! [A: $i] :
      ( ( l1_group_1 @ A )
     => ( l1_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).

thf(1374,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( ( v6_group_1 @ A )
      <=> ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_group_1) ).

thf(1479,axiom,
    ? [A: $i] :
      ( ( l1_group_1 @ A )
      & ~ ( v3_struct_0 @ A )
      & ( v1_group_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_group_1) ).

thf(1480,axiom,
    ? [A: $i] :
      ( ( l1_group_1 @ A )
      & ( v1_group_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_group_1) ).

thf(1502,axiom,
    ? [A: $i] : ( l2_rlvect_1 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_rlvect_1) ).

thf(1503,axiom,
    ! [A: $i] :
      ( ( l2_rlvect_1 @ A )
     => ( l1_rlvect_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_rlvect_1) ).

thf(1504,axiom,
    ? [A: $i] : ( l1_rlvect_1 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_rlvect_1) ).

thf(1505,axiom,
    ! [A: $i] :
      ( ( l1_rlvect_1 @ A )
     => ( l2_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).

thf(1619,axiom,
    ? [A: $i] :
      ( ( l1_rlvect_1 @ A )
      & ~ ( v3_struct_0 @ A )
      & ( v1_rlvect_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_rlvect_1) ).

thf(1620,axiom,
    ? [A: $i] :
      ( ( l2_rlvect_1 @ A )
      & ~ ( v3_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_rlvect_1) ).

thf(1621,axiom,
    ? [A: $i] :
      ( ( l2_rlvect_1 @ A )
      & ( v2_rlvect_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_rlvect_1) ).

thf(1622,axiom,
    ? [A: $i] :
      ( ( l1_rlvect_1 @ A )
      & ( v1_rlvect_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_rlvect_1) ).

thf(1690,axiom,
    ! [A: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( v3_pre_topc @ ( k2_pre_topc @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_tops_1) ).

thf(1691,axiom,
    ! [A: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( v3_pre_topc @ ( k1_pre_topc @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_tops_1) ).

thf(1696,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ( ( k1_tops_1 @ A @ ( k1_pre_topc @ A ) )
        = ( k1_pre_topc @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_tops_1) ).

thf(1700,axiom,
    ! [A: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( ( k1_tops_1 @ A @ ( k2_pre_topc @ A ) )
        = ( k2_pre_topc @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_tops_1) ).

thf(1717,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ( ( k6_pre_topc @ A @ ( k2_pre_topc @ A ) )
        = ( k2_pre_topc @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_tops_1) ).

thf(1722,axiom,
    ! [A: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( v4_pre_topc @ ( k1_pre_topc @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tops_1) ).

thf(1736,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( ( k3_subset_1 @ ( u1_struct_0 @ A ) @ ( k2_pre_topc @ A ) )
        = ( k1_pre_topc @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tops_1) ).

thf(1755,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ( v1_tops_1 @ ( k2_pre_topc @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_tops_1) ).

thf(1759,axiom,
    ! [A: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( ( v3_pre_topc @ ( k2_pre_topc @ A ) @ A )
        & ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_tops_1) ).

thf(1780,axiom,
    ? [A: $i] : ( l1_pre_topc @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).

thf(1781,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ( l1_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).

thf(1782,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ? [B: $i] : ( m1_pre_topc @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_pre_topc) ).

thf(1783,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ! [B: $i] :
          ( ( m1_pre_topc @ B @ A )
         => ( l1_pre_topc @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_pre_topc) ).

thf(1797,axiom,
    ! [A: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_pre_topc) ).

thf(1821,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( ( k2_pre_topc @ A )
        = ( k3_subset_1 @ ( u1_struct_0 @ A ) @ ( k1_pre_topc @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_pre_topc) ).

thf(1836,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( ( k2_pre_topc @ A )
        = ( u1_struct_0 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_pre_topc) ).

thf(1843,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( ( k2_pre_topc @ A )
        = ( u1_struct_0 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).

thf(1844,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( ( k1_pre_topc @ A )
        = k1_xboole_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_pre_topc) ).

thf(1853,axiom,
    ! [A: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_pre_topc) ).

thf(1855,axiom,
    ! [A: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ? [B: $i] :
          ( ( m1_pre_topc @ B @ A )
          & ( v1_pre_topc @ B )
          & ( v2_pre_topc @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_pre_topc) ).

thf(1857,axiom,
    ! [A: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ! [B: $i] :
          ( ( m1_pre_topc @ B @ A )
         => ( v2_pre_topc @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_pre_topc) ).

thf(1858,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l1_pre_topc @ A ) )
     => ? [B: $i] :
          ( ( m1_pre_topc @ B @ A )
          & ~ ( v3_struct_0 @ B )
          & ( v1_pre_topc @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_pre_topc) ).

thf(1859,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ? [B: $i] :
          ( ( m1_pre_topc @ B @ A )
          & ( v1_pre_topc @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_pre_topc) ).

thf(1860,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l1_struct_0 @ A ) )
     => ~ ( v1_xboole_0 @ ( k2_pre_topc @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_pre_topc) ).

thf(1862,axiom,
    ? [A: $i] :
      ( ( l1_pre_topc @ A )
      & ~ ( v3_struct_0 @ A )
      & ( v1_pre_topc @ A )
      & ( v2_pre_topc @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_pre_topc) ).

thf(1863,axiom,
    ? [A: $i] :
      ( ( l1_pre_topc @ A )
      & ( v1_pre_topc @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_pre_topc) ).

thf(1888,axiom,
    ? [A: $i] : ( l3_lattices @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_lattices) ).

thf(1889,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( l1_lattices @ A )
        & ( l2_lattices @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).

thf(1890,axiom,
    ? [A: $i] : ( l2_lattices @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_lattices) ).

thf(1891,axiom,
    ! [A: $i] :
      ( ( l2_lattices @ A )
     => ( l1_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).

thf(1892,axiom,
    ? [A: $i] : ( l1_lattices @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_lattices) ).

thf(1893,axiom,
    ! [A: $i] :
      ( ( l1_lattices @ A )
     => ( l1_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).

thf(1948,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l3_lattices @ A ) )
     => ( ( v17_lattices @ A )
      <=> ( ( v15_lattices @ A )
          & ( v16_lattices @ A )
          & ( v11_lattices @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_lattices) ).

thf(1953,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l3_lattices @ A ) )
     => ( ( v15_lattices @ A )
      <=> ( ( v13_lattices @ A )
          & ( v14_lattices @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d15_lattices) ).

thf(1970,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v11_lattices @ A )
          & ( v15_lattices @ A )
          & ( v16_lattices @ A ) )
       => ( ~ ( v3_struct_0 @ A )
          & ( v17_lattices @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).

thf(1971,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v17_lattices @ A ) )
       => ( ~ ( v3_struct_0 @ A )
          & ( v11_lattices @ A )
          & ( v13_lattices @ A )
          & ( v14_lattices @ A )
          & ( v15_lattices @ A )
          & ( v16_lattices @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).

thf(1974,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v15_lattices @ A ) )
       => ( ~ ( v3_struct_0 @ A )
          & ( v13_lattices @ A )
          & ( v14_lattices @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_lattices) ).

thf(1975,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v13_lattices @ A )
          & ( v14_lattices @ A ) )
       => ( ~ ( v3_struct_0 @ A )
          & ( v15_lattices @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_lattices) ).

thf(1982,axiom,
    ? [A: $i] :
      ( ( l3_lattices @ A )
      & ~ ( v3_struct_0 @ A )
      & ( v3_lattices @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_lattices) ).

thf(1983,axiom,
    ? [A: $i] :
      ( ( l1_lattices @ A )
      & ~ ( v3_struct_0 @ A )
      & ( v1_lattices @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_lattices) ).

thf(1984,axiom,
    ? [A: $i] :
      ( ( l2_lattices @ A )
      & ~ ( v3_struct_0 @ A )
      & ( v2_lattices @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_lattices) ).

thf(1988,axiom,
    ? [A: $i] :
      ( ( l3_lattices @ A )
      & ( v3_lattices @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_lattices) ).

thf(1989,axiom,
    ? [A: $i] :
      ( ( l2_lattices @ A )
      & ( v2_lattices @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_lattices) ).

thf(1990,axiom,
    ? [A: $i] :
      ( ( l1_lattices @ A )
      & ( v1_lattices @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_lattices) ).

thf(2200,axiom,
    ? [A: $i] : ( l2_struct_0 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_struct_0) ).

thf(2201,axiom,
    ! [A: $i] :
      ( ( l2_struct_0 @ A )
     => ( l1_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_struct_0) ).

thf(2202,axiom,
    ? [A: $i] : ( l1_struct_0 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).

thf(2207,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( ( v3_struct_0 @ A )
      <=> ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_struct_0) ).

thf(2209,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l1_struct_0 @ A ) )
     => ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

thf(2210,axiom,
    ? [A: $i] :
      ( ( l2_struct_0 @ A )
      & ~ ( v3_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_struct_0) ).

thf(2211,axiom,
    ? [A: $i] :
      ( ( l1_struct_0 @ A )
      & ~ ( v3_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).

thf(2212,axiom,
    ? [A: $i] :
      ( ( l2_struct_0 @ A )
      & ( v2_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_struct_0) ).

thf(2213,axiom,
    ? [A: $i] :
      ( ( l1_struct_0 @ A )
      & ( v1_struct_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_struct_0) ).

thf(2216,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v1_relat_1 @ A )
        & ( v1_relat_1 @ B ) )
     => ( r1_rfinseq @ A @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_rfinseq) ).

thf(2217,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v1_relat_1 @ A )
        & ( v1_relat_1 @ B ) )
     => ( ( r1_rfinseq @ A @ B )
       => ( r1_rfinseq @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_rfinseq) ).

thf(2402,axiom,
    ! [A: $i] :
      ( ~ ( v1_realset1 @ A )
     => ~ ( v1_xboole_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_realset1) ).

thf(2403,axiom,
    ? [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
      & ~ ( v1_realset1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_realset1) ).

thf(2404,axiom,
    ? [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
      & ( v1_realset1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_realset1) ).

thf(2406,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ A )
     => ( v1_relat_1 @ ( k1_realset1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_realset1) ).

thf(2498,axiom,
    ~ ( v1_xboole_0 @ k7_cqc_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_cqc_lang) ).

thf(2685,axiom,
    ~ ( v1_xboole_0 @ k8_qc_lang1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_qc_lang1) ).

thf(2776,axiom,
    ~ ( v1_xboole_0 @ k5_qc_lang1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_qc_lang1) ).

thf(2777,axiom,
    ~ ( v1_xboole_0 @ k4_qc_lang1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_qc_lang1) ).

thf(2778,axiom,
    ~ ( v1_xboole_0 @ k3_qc_lang1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_qc_lang1) ).

thf(2779,axiom,
    ~ ( v1_xboole_0 @ k2_qc_lang1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_qc_lang1) ).

thf(2780,axiom,
    ~ ( v1_xboole_0 @ k1_qc_lang1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_qc_lang1) ).

thf(3078,axiom,
    ! [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
     => ! [B: $i] :
          ( ( m1_eqrel_1 @ B @ A )
         => ~ ( v1_xboole_0 @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_eqrel_1) ).

thf(3083,axiom,
    ! [A: $i] :
      ( ( v1_relat_1 @ A )
     => ( v1_relat_1 @ ( k17_finseq_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_finseq_1) ).

thf(3230,axiom,
    ! [A: $i] :
      ~ ( v1_xboole_0 @ ( k13_finseq_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_finseq_1) ).

thf(3833,axiom,
    ~ ( v1_xboole_0 @ k4_numbers ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_numbers) ).

thf(3834,axiom,
    ~ ( v1_xboole_0 @ k3_numbers ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_numbers) ).

thf(3835,axiom,
    ~ ( v1_xboole_0 @ k2_numbers ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_numbers) ).

thf(3836,axiom,
    ~ ( v1_xboole_0 @ k1_numbers ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_numbers) ).

thf(3934,axiom,
    ? [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
      & ( v1_fraenkel @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_fraenkel) ).

thf(4153,axiom,
    ! [A: $i] :
      ( ( v1_xboole_0 @ A )
     => ( v1_finset_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).

thf(4154,axiom,
    ? [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
      & ( v1_finset_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).

thf(4775,axiom,
    ! [A: $i] :
      ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_2) ).

thf(4776,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( v1_xboole_0 @ B )
     => ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_2) ).

thf(5120,axiom,
    ! [A: $i,B: $i] :
      ~ ( v1_xboole_0 @ ( k4_partfun1 @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_partfun1) ).

thf(5122,axiom,
    ? [A: $i] :
      ( ( v1_relat_1 @ A )
      & ( v1_funct_1 @ A )
      & ( v2_funct_1 @ A )
      & ( v1_xboole_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_partfun1) ).

thf(5295,axiom,
    ! [A: $i] :
      ~ ( v1_xboole_0 @ ( k1_ordinal1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_ordinal1) ).

thf(5482,axiom,
    ! [A: $i] : ( v2_funct_1 @ ( k6_relat_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_funct_1) ).

thf(5548,axiom,
    ? [A: $i] :
      ( ( v1_relat_1 @ A )
      & ( v1_funct_1 @ A )
      & ( v2_funct_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).

thf(5549,axiom,
    ! [A: $i] :
      ( ( ( v1_relat_1 @ A )
        & ( v1_xboole_0 @ A )
        & ( v1_funct_1 @ A ) )
     => ( ( v1_relat_1 @ A )
        & ( v1_funct_1 @ A )
        & ( v2_funct_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).

thf(5550,axiom,
    ? [A: $i] :
      ( ( v1_relat_1 @ A )
      & ( v1_xboole_0 @ A )
      & ( v1_funct_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).

thf(5553,axiom,
    ! [A: $i] :
      ( ( v1_xboole_0 @ A )
     => ( v1_funct_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).

thf(5554,axiom,
    ? [A: $i] :
      ( ( v1_relat_1 @ A )
      & ( v1_funct_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).

thf(5557,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ( v1_relat_1 @ ( k8_relat_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).

thf(5558,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ A )
     => ( v1_relat_1 @ ( k7_relat_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).

thf(5559,axiom,
    ! [A: $i] : ( v1_relat_1 @ ( k6_relat_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).

thf(5560,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v1_relat_1 @ A )
        & ( v1_relat_1 @ B ) )
     => ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).

thf(5561,axiom,
    ! [A: $i] :
      ( ( v1_relat_1 @ A )
     => ( ( k4_relat_1 @ ( k4_relat_1 @ A ) )
        = A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).

thf(5562,axiom,
    ! [A: $i] :
      ( ( v1_relat_1 @ A )
     => ( v1_relat_1 @ ( k4_relat_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relat_1) ).

thf(5632,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ( ( k8_relat_1 @ A @ ( k8_relat_1 @ A @ B ) )
        = ( k8_relat_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t128_relat_1) ).

thf(5660,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ( ( k7_relat_1 @ ( k7_relat_1 @ B @ A ) @ A )
        = ( k7_relat_1 @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t101_relat_1) ).

thf(5709,axiom,
    ! [A: $i] :
      ( ( v1_relat_1 @ A )
     => ! [B: $i] :
          ( ( v1_relat_1 @ B )
         => ! [C: $i] :
              ( ( v1_relat_1 @ C )
             => ( ( k5_relat_1 @ ( k5_relat_1 @ A @ B ) @ C )
                = ( k5_relat_1 @ A @ ( k5_relat_1 @ B @ C ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_relat_1) ).

thf(5759,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ( v1_relat_1 @ ( k4_xboole_0 @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_relat_1) ).

thf(5760,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ( v1_relat_1 @ ( k3_xboole_0 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_relat_1) ).

thf(5765,axiom,
    ! [A: $i,B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_relat_1) ).

thf(5768,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ( ( r1_tarski @ A @ B )
       => ( v1_relat_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_relat_1) ).

thf(5773,axiom,
    ? [A: $i] :
      ( ( v1_relat_1 @ A )
      & ( v3_relat_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).

thf(5775,axiom,
    ! [A: $i] :
      ( ( v1_xboole_0 @ A )
     => ( ( v1_xboole_0 @ ( k4_relat_1 @ A ) )
        & ( v1_relat_1 @ ( k4_relat_1 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc11_relat_1) ).

thf(5776,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v1_xboole_0 @ A )
        & ( v1_relat_1 @ B ) )
     => ( ( v1_xboole_0 @ ( k5_relat_1 @ B @ A ) )
        & ( v1_relat_1 @ ( k5_relat_1 @ B @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_relat_1) ).

thf(5777,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v1_xboole_0 @ A )
        & ( v1_relat_1 @ B ) )
     => ( ( v1_xboole_0 @ ( k5_relat_1 @ A @ B ) )
        & ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_relat_1) ).

thf(5778,axiom,
    ! [A: $i] :
      ( ( v1_xboole_0 @ A )
     => ( ( v1_xboole_0 @ ( k2_relat_1 @ A ) )
        & ( v1_relat_1 @ ( k2_relat_1 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).

thf(5779,axiom,
    ! [A: $i] :
      ( ( v1_xboole_0 @ A )
     => ( ( v1_xboole_0 @ ( k1_relat_1 @ A ) )
        & ( v1_relat_1 @ ( k1_relat_1 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).

thf(5780,axiom,
    ! [A: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ( v1_relat_1 @ A ) )
     => ~ ( v1_xboole_0 @ ( k2_relat_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).

thf(5781,axiom,
    ! [A: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ( v1_relat_1 @ A ) )
     => ~ ( v1_xboole_0 @ ( k1_relat_1 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).

thf(5782,axiom,
    ? [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
      & ( v1_relat_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).

thf(5783,axiom,
    ( ( v1_xboole_0 @ k1_xboole_0 )
    & ( v1_relat_1 @ k1_xboole_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).

thf(5784,axiom,
    ! [A: $i] :
      ( ( v1_xboole_0 @ A )
     => ( v1_relat_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).

thf(5785,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v1_relat_1 @ A )
        & ( v1_relat_1 @ B ) )
     => ( v1_relat_1 @ ( k4_xboole_0 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_relat_1) ).

thf(5786,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v1_relat_1 @ A )
        & ( v1_relat_1 @ B ) )
     => ( v1_relat_1 @ ( k2_xboole_0 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_relat_1) ).

thf(5787,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v1_relat_1 @ A )
        & ( v1_relat_1 @ B ) )
     => ( v1_relat_1 @ ( k3_xboole_0 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_relat_1) ).

thf(5788,axiom,
    ? [A: $i] :
      ( ( v1_xboole_0 @ A )
      & ( v1_relat_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).

thf(5880,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ~ ( v1_xboole_0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).

thf(5886,axiom,
    ? [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
      & ( v1_setfam_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_setfam_1) ).

thf(5907,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ~ ( v1_xboole_0 @ B ) )
     => ~ ( r2_subset_1 @ A @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_r2_subset_1) ).

thf(5908,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ~ ( v1_xboole_0 @ B ) )
     => ( ( r2_subset_1 @ A @ B )
       => ( r2_subset_1 @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r2_subset_1) ).

thf(5910,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ~ ( v1_xboole_0 @ B ) )
     => ~ ( r1_subset_1 @ A @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_r1_subset_1) ).

thf(5911,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ~ ( v1_xboole_0 @ B ) )
     => ( ( r1_subset_1 @ A @ B )
       => ( r1_subset_1 @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_subset_1) ).

thf(5991,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ~ ( v1_xboole_0 @ B )
        & ~ ( v1_xboole_0 @ C )
        & ~ ( v1_xboole_0 @ D ) )
     => ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ A @ B @ C @ D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_subset_1) ).

thf(5992,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ~ ( v1_xboole_0 @ B )
        & ~ ( v1_xboole_0 @ C ) )
     => ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_subset_1) ).

thf(5993,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ~ ( v1_xboole_0 @ B ) )
     => ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).

thf(5995,axiom,
    ! [A: $i,B: $i] :
      ~ ( v1_xboole_0 @ ( k2_tarski @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_subset_1) ).

thf(5996,axiom,
    ! [A: $i] :
      ~ ( v1_xboole_0 @ ( k1_tarski @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_subset_1) ).

thf(5997,axiom,
    ! [A: $i] :
      ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).

thf(6147,axiom,
    ! [A: $i,B: $i] :
      ~ ( v1_xboole_0 @ ( k4_tarski @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_zfmisc_1) ).

thf(6399,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( v1_xboole_0 @ A )
        & ( A != B )
        & ( v1_xboole_0 @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).

thf(6400,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( r2_hidden @ A @ B )
        & ( v1_xboole_0 @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

thf(6401,axiom,
    ! [A: $i] :
      ( ( v1_xboole_0 @ A )
     => ( A = k1_xboole_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

thf(6435,axiom,
    ! [A: $i] :
      ( ( v1_xboole_0 @ A )
    <=> ( A = k1_xboole_0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_xboole_0) ).

thf(6440,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( v1_xboole_0 @ A )
     => ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).

thf(6441,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( v1_xboole_0 @ A )
     => ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).

thf(6442,axiom,
    ? [A: $i] :
      ~ ( v1_xboole_0 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).

thf(6443,axiom,
    ? [A: $i] : ( v1_xboole_0 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).

thf(6444,axiom,
    v1_xboole_0 @ k1_xboole_0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

thf(6468,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ? [B: $i] :
          ( ~ ( v3_struct_0 @ B )
          & ( v2_pre_topc @ B )
          & ( l1_pre_topc @ B )
          & ( r1_filter_1 @ A @ ( k6_lopclset @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).

thf(6469,negated_conjecture,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ? [B: $i] :
              ( ~ ( v3_struct_0 @ B )
              & ( v2_pre_topc @ B )
              & ( l1_pre_topc @ B )
              & ( r1_filter_1 @ A @ ( k6_lopclset @ B ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[6468]) ).

thf(6470,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ? [B: $i] :
              ( ~ ( v3_struct_0 @ B )
              & ( v2_pre_topc @ B )
              & ( l1_pre_topc @ B )
              & ( r1_filter_1 @ A @ ( k6_lopclset @ B ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[6469]) ).

thf(6471,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( v3_lattice4 @ ( k13_lopclset @ A ) @ A @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(6472,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ( k2_relat_1 @ ( k13_lopclset @ A ) )
            = ( u1_struct_0 @ ( k12_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(6473,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ( k10_lopclset @ A )
            = ( k1_lopclset @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(6474,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( r1_tarski @ ( k10_lopclset @ A ) @ ( k1_lopclset @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(6475,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ( k3_tarski @ ( k10_lopclset @ A ) )
            = ( k7_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(6476,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ( k10_lopclset @ A )
            = ( k2_relat_1 @ ( k9_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(6477,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( m1_subset_1 @ ( k1_pre_topc @ A ) @ ( u1_struct_0 @ ( k6_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(6478,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( m1_subset_1 @ ( k2_pre_topc @ A ) @ ( u1_struct_0 @ ( k6_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(6479,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( m1_lattice4 @ ( k13_lopclset @ A ) @ A @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(6480,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ( v1_relat_1 @ ( k8_lopclset @ A ) )
            & ( v1_funct_1 @ ( k8_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(6481,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( v11_lattices @ B )
                & ( l3_lattices @ B ) )
             => ! [C: $i] :
                  ( ( m1_lattice4 @ C @ B @ A )
                 => ( ( v2_lattice4 @ C @ B @ A )
                   => ( v11_lattices @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[132]) ).

thf(6482,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l1_struct_0 @ A ) )
         => ( ( v3_realset2 @ A )
          <=> ? [B: $i] :
                ( ( u1_struct_0 @ A )
                = ( k1_tarski @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[288]) ).

thf(6483,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( l1_struct_0 @ A )
            & ( l1_struct_0 @ B ) )
         => ? [C: $i] : ( m5_grcat_1 @ C @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[363]) ).

thf(6484,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( l1_struct_0 @ A )
            & ~ ( v3_struct_0 @ B )
            & ( l1_struct_0 @ B ) )
         => ? [C: $i] :
              ( ( m5_grcat_1 @ C @ A @ B )
              & ~ ( v1_xboole_0 @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[477]) ).

thf(6485,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( l1_struct_0 @ A )
            & ~ ( v3_struct_0 @ B )
            & ( l1_struct_0 @ B ) )
         => ~ ( v1_xboole_0 @ ( k17_grcat_1 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[478]) ).

thf(6486,plain,
    ( ( ? [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          & ( v5_grcat_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[480]) ).

thf(6487,plain,
    ( ( ? [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          & ( v4_grcat_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[482]) ).

thf(6488,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ( m1_eqrel_1 @ ( k15_borsuk_1 @ A ) @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[515]) ).

thf(6489,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ! [B: $i] :
              ( ( m1_borsuk_1 @ B @ A )
             => ( ~ ( v1_xboole_0 @ B )
                & ( m1_eqrel_1 @ B @ ( u1_struct_0 @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[539]) ).

thf(6490,plain,
    ( ( ! [A: $i] :
          ( ( l1_pre_topc @ A )
         => ! [B: $i] :
              ( ( m1_pre_topc @ B @ A )
             => ( r1_tarski @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[606]) ).

thf(6491,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ? [B: $i] :
              ( ( m1_pre_topc @ B @ A )
              & ~ ( v3_struct_0 @ B )
              & ( v1_pre_topc @ B )
              & ( v2_pre_topc @ B )
              & ( v1_borsuk_1 @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[643]) ).

thf(6492,plain,
    ( ( ! [A: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ? [B: $i] :
              ( ( m1_pre_topc @ B @ A )
              & ( v1_pre_topc @ B )
              & ( v2_pre_topc @ B )
              & ( v1_borsuk_1 @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[644]) ).

thf(6493,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l1_struct_0 @ A ) )
         => ( ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ A ) )
            & ( v1_setfam_1 @ ( k15_borsuk_1 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[646]) ).

thf(6494,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A )
            & ( m1_filter_0 @ B @ A ) )
         => ( ~ ( v3_struct_0 @ ( k5_filter_1 @ A @ B ) )
            & ( v3_lattices @ ( k5_filter_1 @ A @ B ) )
            & ( v10_lattices @ ( k5_filter_1 @ A @ B ) )
            & ( l3_lattices @ ( k5_filter_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[660]) ).

thf(6495,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A )
            & ( m1_filter_0 @ B @ A )
            & ( m1_filter_0 @ C @ A ) )
         => ( ( k1_filter_1 @ A @ B @ C )
            = ( k3_xboole_0 @ B @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[665]) ).

thf(6496,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ( v1_relat_1 @ B ) )
         => ? [C: $i] : ( m2_filter_1 @ C @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[671]) ).

thf(6497,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ( v1_relat_1 @ B ) )
         => ? [C: $i] : ( m1_filter_1 @ C @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[673]) ).

thf(6498,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( ~ ( v3_struct_0 @ A )
                  & ( v10_lattices @ A )
                  & ( v15_lattices @ A )
                  & ( v16_lattices @ A )
                  & ( l3_lattices @ A )
                  & ~ ( v3_struct_0 @ B )
                  & ( v10_lattices @ B )
                  & ( v15_lattices @ B )
                  & ( v16_lattices @ B )
                  & ( l3_lattices @ B ) )
              <=> ( ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                  & ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                  & ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                  & ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                  & ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[697]) ).

thf(6499,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v3_filter_0 @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ( v3_filter_0 @ ( k5_filter_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[725]) ).

thf(6500,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ! [C: $i] :
                  ( ( m1_filter_0 @ C @ A )
                 => ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[750]) ).

thf(6501,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( ( v1_lattice2 @ A )
          <=> ( ( v3_filter_0 @ A )
              & ( v13_lattices @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[759]) ).

thf(6502,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( ( v14_lattices @ A )
          <=> ( v13_lattices @ ( k1_lattice2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[780]) ).

thf(6503,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( ( v13_lattices @ A )
          <=> ( v14_lattices @ ( k1_lattice2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[781]) ).

thf(6504,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A )
            & ( m1_filter_0 @ B @ A ) )
         => ( v1_relat_1 @ ( k10_filter_0 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[872]) ).

thf(6505,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ( l3_lattices @ A )
            & ( m1_filter_0 @ B @ A )
            & ( m1_filter_0 @ C @ A ) )
         => ( ( k7_filter_0 @ A @ B @ C )
            = ( k5_filter_0 @ A @ B @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[875]) ).

thf(6506,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v11_lattices @ A )
            & ( l3_lattices @ A )
            & ( m1_filter_0 @ B @ A )
            & ( m1_filter_0 @ C @ A ) )
         => ( m1_filter_0 @ ( k6_filter_0 @ A @ B @ C ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[878]) ).

thf(6507,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ( ( ~ ( v3_struct_0 @ A )
                  & ( v10_lattices @ A )
                  & ( v3_filter_0 @ A )
                  & ( l3_lattices @ A ) )
               => ( v3_filter_0 @ ( k8_filter_0 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[910]) ).

thf(6508,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ( ( v11_lattices @ A )
               => ( v11_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[911]) ).

thf(6509,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ( ( v12_lattices @ A )
               => ( v12_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[912]) ).

thf(6510,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ( ( v14_lattices @ A )
               => ( v14_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[913]) ).

thf(6511,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v3_lattices @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( ( k8_filter_0 @ A @ ( k1_filter_0 @ A ) )
            = A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[917]) ).

thf(6512,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ( ( ( B
                   != ( k1_filter_0 @ A ) )
                  & ( v2_filter_0 @ B @ A ) )
              <=> ( v1_filter_0 @ B @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[922]) ).

thf(6513,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ! [C: $i] :
                  ( ( m1_filter_0 @ C @ A )
                 => ( ( k3_filter_0 @ A @ ( k4_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) )
                    = ( k7_filter_0 @ A @ B @ C ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[928]) ).

thf(6514,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ( ( v3_realset2 @ A )
          <=> ! [B: $i] :
                ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
               => ! [C: $i] :
                    ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
                   => ( B = C ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1154]) ).

thf(6515,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ( ( v3_realset2 @ A )
          <=> ( v1_realset1 @ ( u1_struct_0 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1156]) ).

thf(6516,plain,
    ( ( ? [A: $i] :
          ( ( l3_vectsp_1 @ A )
          & ( v3_vectsp_1 @ A )
          & ( v4_realset2 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1161]) ).

thf(6517,plain,
    ( ( ( v3_vectsp_1 @ k3_vectsp_1 )
      & ( l3_vectsp_1 @ k3_vectsp_1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1179]) ).

thf(6518,plain,
    ( ( ( v1_rlvect_1 @ k1_vectsp_1 )
      & ( l1_rlvect_1 @ k1_vectsp_1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1181]) ).

thf(6519,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ? [B: $i] : ( l4_vectsp_1 @ B @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1186]) ).

thf(6520,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ! [B: $i] :
              ( ( l4_vectsp_1 @ B @ A )
             => ( l1_rlvect_1 @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1187]) ).

thf(6521,plain,
    ( ( ? [A: $i] : ( l3_vectsp_1 @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1188]) ).

thf(6522,plain,
    ( ( ! [A: $i] :
          ( ( l3_vectsp_1 @ A )
         => ( ( l1_rlvect_1 @ A )
            & ( l2_vectsp_1 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1189]) ).

thf(6523,plain,
    ( ( ? [A: $i] : ( l2_vectsp_1 @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1190]) ).

thf(6524,plain,
    ( ( ! [A: $i] :
          ( ( l2_vectsp_1 @ A )
         => ( ( l1_vectsp_1 @ A )
            & ( l2_struct_0 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1191]) ).

thf(6525,plain,
    ( ( ? [A: $i] : ( l1_vectsp_1 @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1192]) ).

thf(6526,plain,
    ( ( ! [A: $i] :
          ( ( l1_vectsp_1 @ A )
         => ( l1_group_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1193]) ).

thf(6527,plain,
    ( ( ~ ( v3_struct_0 @ k3_vectsp_1 )
      & ( v2_group_1 @ k3_vectsp_1 )
      & ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1332]) ).

thf(6528,plain,
    ( ( ? [A: $i] :
          ( ( l3_vectsp_1 @ A )
          & ( v3_vectsp_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1335]) ).

thf(6529,plain,
    ( ( ? [A: $i] :
          ( ( l2_vectsp_1 @ A )
          & ( v2_vectsp_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1337]) ).

thf(6530,plain,
    ( ( ? [A: $i] :
          ( ( l1_vectsp_1 @ A )
          & ( v1_vectsp_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1339]) ).

thf(6531,plain,
    ( ( ? [A: $i] : ( l1_group_1 @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1359]) ).

thf(6532,plain,
    ( ( ! [A: $i] :
          ( ( l1_group_1 @ A )
         => ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1360]) ).

thf(6533,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ( ( v6_group_1 @ A )
          <=> ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1374]) ).

thf(6534,plain,
    ( ( ? [A: $i] :
          ( ( l1_group_1 @ A )
          & ( v1_group_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1480]) ).

thf(6535,plain,
    ( ( ? [A: $i] : ( l2_rlvect_1 @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1502]) ).

thf(6536,plain,
    ( ( ! [A: $i] :
          ( ( l2_rlvect_1 @ A )
         => ( l1_rlvect_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1503]) ).

thf(6537,plain,
    ( ( ? [A: $i] : ( l1_rlvect_1 @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1504]) ).

thf(6538,plain,
    ( ( ! [A: $i] :
          ( ( l1_rlvect_1 @ A )
         => ( l2_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1505]) ).

thf(6539,plain,
    ( ( ? [A: $i] :
          ( ( l2_rlvect_1 @ A )
          & ( v2_rlvect_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1621]) ).

thf(6540,plain,
    ( ( ? [A: $i] :
          ( ( l1_rlvect_1 @ A )
          & ( v1_rlvect_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1622]) ).

thf(6541,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ( ( k3_subset_1 @ ( u1_struct_0 @ A ) @ ( k2_pre_topc @ A ) )
            = ( k1_pre_topc @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1736]) ).

thf(6542,plain,
    ( ( ! [A: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( ( v3_pre_topc @ ( k2_pre_topc @ A ) @ A )
            & ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1759]) ).

thf(6543,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ( ( k2_pre_topc @ A )
            = ( k3_subset_1 @ ( u1_struct_0 @ A ) @ ( k1_pre_topc @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1821]) ).

thf(6544,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ( ( k2_pre_topc @ A )
            = ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1836]) ).

thf(6545,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ( ( k2_pre_topc @ A )
            = ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1843]) ).

thf(6546,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ( ( k1_pre_topc @ A )
            = k1_xboole_0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1844]) ).

thf(6547,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l1_struct_0 @ A ) )
         => ~ ( v1_xboole_0 @ ( k2_pre_topc @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1860]) ).

thf(6548,plain,
    ( ( ? [A: $i] : ( l2_lattices @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1890]) ).

thf(6549,plain,
    ( ( ! [A: $i] :
          ( ( l2_lattices @ A )
         => ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1891]) ).

thf(6550,plain,
    ( ( ? [A: $i] : ( l1_lattices @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1892]) ).

thf(6551,plain,
    ( ( ! [A: $i] :
          ( ( l1_lattices @ A )
         => ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1893]) ).

thf(6552,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l3_lattices @ A ) )
         => ( ( v17_lattices @ A )
          <=> ( ( v15_lattices @ A )
              & ( v16_lattices @ A )
              & ( v11_lattices @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1948]) ).

thf(6553,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l3_lattices @ A ) )
         => ( ( v15_lattices @ A )
          <=> ( ( v13_lattices @ A )
              & ( v14_lattices @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1953]) ).

thf(6554,plain,
    ( ( ! [A: $i] :
          ( ( l3_lattices @ A )
         => ( ( ~ ( v3_struct_0 @ A )
              & ( v11_lattices @ A )
              & ( v15_lattices @ A )
              & ( v16_lattices @ A ) )
           => ( ~ ( v3_struct_0 @ A )
              & ( v17_lattices @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1970]) ).

thf(6555,plain,
    ( ( ! [A: $i] :
          ( ( l3_lattices @ A )
         => ( ( ~ ( v3_struct_0 @ A )
              & ( v17_lattices @ A ) )
           => ( ~ ( v3_struct_0 @ A )
              & ( v11_lattices @ A )
              & ( v13_lattices @ A )
              & ( v14_lattices @ A )
              & ( v15_lattices @ A )
              & ( v16_lattices @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1971]) ).

thf(6556,plain,
    ( ( ! [A: $i] :
          ( ( l3_lattices @ A )
         => ( ( ~ ( v3_struct_0 @ A )
              & ( v15_lattices @ A ) )
           => ( ~ ( v3_struct_0 @ A )
              & ( v13_lattices @ A )
              & ( v14_lattices @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1974]) ).

thf(6557,plain,
    ( ( ! [A: $i] :
          ( ( l3_lattices @ A )
         => ( ( ~ ( v3_struct_0 @ A )
              & ( v13_lattices @ A )
              & ( v14_lattices @ A ) )
           => ( ~ ( v3_struct_0 @ A )
              & ( v15_lattices @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1975]) ).

thf(6558,plain,
    ( ( ? [A: $i] :
          ( ( l2_lattices @ A )
          & ( v2_lattices @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1989]) ).

thf(6559,plain,
    ( ( ? [A: $i] :
          ( ( l1_lattices @ A )
          & ( v1_lattices @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1990]) ).

thf(6560,plain,
    ( ( ? [A: $i] : ( l2_struct_0 @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2200]) ).

thf(6561,plain,
    ( ( ! [A: $i] :
          ( ( l2_struct_0 @ A )
         => ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2201]) ).

thf(6562,plain,
    ( ( ? [A: $i] : ( l1_struct_0 @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2202]) ).

thf(6563,plain,
    ( ( ! [A: $i] :
          ( ( l1_struct_0 @ A )
         => ( ( v3_struct_0 @ A )
          <=> ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2207]) ).

thf(6564,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l1_struct_0 @ A ) )
         => ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2209]) ).

thf(6565,plain,
    ( ( ? [A: $i] :
          ( ( l2_struct_0 @ A )
          & ( v2_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2212]) ).

thf(6566,plain,
    ( ( ? [A: $i] :
          ( ( l1_struct_0 @ A )
          & ( v1_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2213]) ).

thf(6567,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( v1_relat_1 @ A )
            & ( v1_relat_1 @ B ) )
         => ( r1_rfinseq @ A @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2216]) ).

thf(6568,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( v1_relat_1 @ A )
            & ( v1_relat_1 @ B ) )
         => ( ( r1_rfinseq @ A @ B )
           => ( r1_rfinseq @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2217]) ).

thf(6569,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_realset1 @ A )
         => ~ ( v1_xboole_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2402]) ).

thf(6570,plain,
    ( ( ? [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          & ~ ( v1_realset1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2403]) ).

thf(6571,plain,
    ( ( ? [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          & ( v1_realset1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2404]) ).

thf(6572,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_relat_1 @ A )
         => ( v1_relat_1 @ ( k1_realset1 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2406]) ).

thf(6573,plain,
    ( ( ~ ( v1_xboole_0 @ k7_cqc_lang ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2498]) ).

thf(6574,plain,
    ( ( ~ ( v1_xboole_0 @ k8_qc_lang1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2685]) ).

thf(6575,plain,
    ( ( ~ ( v1_xboole_0 @ k5_qc_lang1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2776]) ).

thf(6576,plain,
    ( ( ~ ( v1_xboole_0 @ k4_qc_lang1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2777]) ).

thf(6577,plain,
    ( ( ~ ( v1_xboole_0 @ k3_qc_lang1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2778]) ).

thf(6578,plain,
    ( ( ~ ( v1_xboole_0 @ k2_qc_lang1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2779]) ).

thf(6579,plain,
    ( ( ~ ( v1_xboole_0 @ k1_qc_lang1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2780]) ).

thf(6580,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
         => ! [B: $i] :
              ( ( m1_eqrel_1 @ B @ A )
             => ~ ( v1_xboole_0 @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3078]) ).

thf(6581,plain,
    ( ( ! [A: $i] :
          ( ( v1_relat_1 @ A )
         => ( v1_relat_1 @ ( k17_finseq_1 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3083]) ).

thf(6582,plain,
    ( ( ! [A: $i] :
          ~ ( v1_xboole_0 @ ( k13_finseq_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3230]) ).

thf(6583,plain,
    ( ( ~ ( v1_xboole_0 @ k4_numbers ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3833]) ).

thf(6584,plain,
    ( ( ~ ( v1_xboole_0 @ k3_numbers ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3834]) ).

thf(6585,plain,
    ( ( ~ ( v1_xboole_0 @ k2_numbers ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3835]) ).

thf(6586,plain,
    ( ( ~ ( v1_xboole_0 @ k1_numbers ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3836]) ).

thf(6587,plain,
    ( ( ? [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          & ( v1_fraenkel @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3934]) ).

thf(6588,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
         => ( v1_finset_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4153]) ).

thf(6589,plain,
    ( ( ? [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          & ( v1_finset_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4154]) ).

thf(6590,plain,
    ( ( ! [A: $i] :
          ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4775]) ).

thf(6591,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_xboole_0 @ B )
         => ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4776]) ).

thf(6592,plain,
    ( ( ! [A: $i,B: $i] :
          ~ ( v1_xboole_0 @ ( k4_partfun1 @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5120]) ).

thf(6593,plain,
    ( ( ? [A: $i] :
          ( ( v1_relat_1 @ A )
          & ( v1_funct_1 @ A )
          & ( v2_funct_1 @ A )
          & ( v1_xboole_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5122]) ).

thf(6594,plain,
    ( ( ! [A: $i] :
          ~ ( v1_xboole_0 @ ( k1_ordinal1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5295]) ).

thf(6595,plain,
    ( ( ! [A: $i] : ( v2_funct_1 @ ( k6_relat_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5482]) ).

thf(6596,plain,
    ( ( ? [A: $i] :
          ( ( v1_relat_1 @ A )
          & ( v1_funct_1 @ A )
          & ( v2_funct_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5548]) ).

thf(6597,plain,
    ( ( ! [A: $i] :
          ( ( ( v1_relat_1 @ A )
            & ( v1_xboole_0 @ A )
            & ( v1_funct_1 @ A ) )
         => ( ( v1_relat_1 @ A )
            & ( v1_funct_1 @ A )
            & ( v2_funct_1 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5549]) ).

thf(6598,plain,
    ( ( ? [A: $i] :
          ( ( v1_relat_1 @ A )
          & ( v1_xboole_0 @ A )
          & ( v1_funct_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5550]) ).

thf(6599,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
         => ( v1_funct_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5553]) ).

thf(6600,plain,
    ( ( ? [A: $i] :
          ( ( v1_relat_1 @ A )
          & ( v1_funct_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5554]) ).

thf(6601,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_relat_1 @ B )
         => ( v1_relat_1 @ ( k8_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5557]) ).

thf(6602,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_relat_1 @ A )
         => ( v1_relat_1 @ ( k7_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5558]) ).

thf(6603,plain,
    ( ( ! [A: $i] : ( v1_relat_1 @ ( k6_relat_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5559]) ).

thf(6604,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( v1_relat_1 @ A )
            & ( v1_relat_1 @ B ) )
         => ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5560]) ).

thf(6605,plain,
    ( ( ! [A: $i] :
          ( ( v1_relat_1 @ A )
         => ( ( k4_relat_1 @ ( k4_relat_1 @ A ) )
            = A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5561]) ).

thf(6606,plain,
    ( ( ! [A: $i] :
          ( ( v1_relat_1 @ A )
         => ( v1_relat_1 @ ( k4_relat_1 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5562]) ).

thf(6607,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_relat_1 @ B )
         => ( ( k8_relat_1 @ A @ ( k8_relat_1 @ A @ B ) )
            = ( k8_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5632]) ).

thf(6608,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_relat_1 @ B )
         => ( ( k7_relat_1 @ ( k7_relat_1 @ B @ A ) @ A )
            = ( k7_relat_1 @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5660]) ).

thf(6609,plain,
    ( ( ! [A: $i] :
          ( ( v1_relat_1 @ A )
         => ! [B: $i] :
              ( ( v1_relat_1 @ B )
             => ! [C: $i] :
                  ( ( v1_relat_1 @ C )
                 => ( ( k5_relat_1 @ ( k5_relat_1 @ A @ B ) @ C )
                    = ( k5_relat_1 @ A @ ( k5_relat_1 @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5709]) ).

thf(6610,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_relat_1 @ B )
         => ( v1_relat_1 @ ( k4_xboole_0 @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5759]) ).

thf(6611,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_relat_1 @ B )
         => ( v1_relat_1 @ ( k3_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5760]) ).

thf(6612,plain,
    ( ( ! [A: $i,B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5765]) ).

thf(6613,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_relat_1 @ B )
         => ( ( r1_tarski @ A @ B )
           => ( v1_relat_1 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5768]) ).

thf(6614,plain,
    ( ( ? [A: $i] :
          ( ( v1_relat_1 @ A )
          & ( v3_relat_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5773]) ).

thf(6615,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
         => ( ( v1_xboole_0 @ ( k4_relat_1 @ A ) )
            & ( v1_relat_1 @ ( k4_relat_1 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5775]) ).

thf(6616,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( v1_xboole_0 @ A )
            & ( v1_relat_1 @ B ) )
         => ( ( v1_xboole_0 @ ( k5_relat_1 @ B @ A ) )
            & ( v1_relat_1 @ ( k5_relat_1 @ B @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5776]) ).

thf(6617,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( v1_xboole_0 @ A )
            & ( v1_relat_1 @ B ) )
         => ( ( v1_xboole_0 @ ( k5_relat_1 @ A @ B ) )
            & ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5777]) ).

thf(6618,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
         => ( ( v1_xboole_0 @ ( k2_relat_1 @ A ) )
            & ( v1_relat_1 @ ( k2_relat_1 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5778]) ).

thf(6619,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
         => ( ( v1_xboole_0 @ ( k1_relat_1 @ A ) )
            & ( v1_relat_1 @ ( k1_relat_1 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5779]) ).

thf(6620,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ( v1_relat_1 @ A ) )
         => ~ ( v1_xboole_0 @ ( k2_relat_1 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5780]) ).

thf(6621,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ( v1_relat_1 @ A ) )
         => ~ ( v1_xboole_0 @ ( k1_relat_1 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5781]) ).

thf(6622,plain,
    ( ( ? [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          & ( v1_relat_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5782]) ).

thf(6623,plain,
    ( ( ( v1_xboole_0 @ k1_xboole_0 )
      & ( v1_relat_1 @ k1_xboole_0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5783]) ).

thf(6624,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
         => ( v1_relat_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5784]) ).

thf(6625,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( v1_relat_1 @ A )
            & ( v1_relat_1 @ B ) )
         => ( v1_relat_1 @ ( k4_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5785]) ).

thf(6626,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( v1_relat_1 @ A )
            & ( v1_relat_1 @ B ) )
         => ( v1_relat_1 @ ( k2_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5786]) ).

thf(6627,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( v1_relat_1 @ A )
            & ( v1_relat_1 @ B ) )
         => ( v1_relat_1 @ ( k3_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5787]) ).

thf(6628,plain,
    ( ( ? [A: $i] :
          ( ( v1_xboole_0 @ A )
          & ( v1_relat_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5788]) ).

thf(6629,plain,
    ( ( ! [A: $i] :
          ( ~ ( v2_setfam_1 @ A )
         => ~ ( v1_xboole_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5880]) ).

thf(6630,plain,
    ( ( ? [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          & ( v1_setfam_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5886]) ).

thf(6631,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ~ ( v1_xboole_0 @ B ) )
         => ~ ( r2_subset_1 @ A @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5907]) ).

thf(6632,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ~ ( v1_xboole_0 @ B ) )
         => ( ( r2_subset_1 @ A @ B )
           => ( r2_subset_1 @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5908]) ).

thf(6633,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ~ ( v1_xboole_0 @ B ) )
         => ~ ( r1_subset_1 @ A @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5910]) ).

thf(6634,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ~ ( v1_xboole_0 @ B ) )
         => ( ( r1_subset_1 @ A @ B )
           => ( r1_subset_1 @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5911]) ).

thf(6635,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ~ ( v1_xboole_0 @ B )
            & ~ ( v1_xboole_0 @ C )
            & ~ ( v1_xboole_0 @ D ) )
         => ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ A @ B @ C @ D ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5991]) ).

thf(6636,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ~ ( v1_xboole_0 @ B )
            & ~ ( v1_xboole_0 @ C ) )
         => ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5992]) ).

thf(6637,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v1_xboole_0 @ A )
            & ~ ( v1_xboole_0 @ B ) )
         => ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5993]) ).

thf(6638,plain,
    ( ( ! [A: $i,B: $i] :
          ~ ( v1_xboole_0 @ ( k2_tarski @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5995]) ).

thf(6639,plain,
    ( ( ! [A: $i] :
          ~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5996]) ).

thf(6640,plain,
    ( ( ! [A: $i] :
          ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5997]) ).

thf(6641,plain,
    ( ( ! [A: $i,B: $i] :
          ~ ( v1_xboole_0 @ ( k4_tarski @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6147]) ).

thf(6642,plain,
    ( ( ! [A: $i,B: $i] :
          ~ ( ( v1_xboole_0 @ A )
            & ( A != B )
            & ( v1_xboole_0 @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6399]) ).

thf(6643,plain,
    ( ( ! [A: $i,B: $i] :
          ~ ( ( r2_hidden @ A @ B )
            & ( v1_xboole_0 @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6400]) ).

thf(6644,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
         => ( A = k1_xboole_0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6401]) ).

thf(6645,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
        <=> ( A = k1_xboole_0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6435]) ).

thf(6646,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_xboole_0 @ A )
         => ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6440]) ).

thf(6647,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_xboole_0 @ A )
         => ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6441]) ).

thf(6648,plain,
    ( ( ? [A: $i] :
          ~ ( v1_xboole_0 @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6442]) ).

thf(6649,plain,
    ( ( ? [A: $i] : ( v1_xboole_0 @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6443]) ).

thf(6650,plain,
    ( ( v1_xboole_0 @ k1_xboole_0 )
    = $true ),
    inference(unfold_def,[status(thm)],[6444]) ).

thf(6651,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( r1_filter_1 @ A @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(6652,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( v2_funct_1 @ ( k9_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(6653,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ( k12_lopclset @ A )
            = ( k6_lopclset @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(6654,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ~ ( v3_struct_0 @ ( k11_lopclset @ A ) )
            & ( v1_pre_topc @ ( k11_lopclset @ A ) )
            & ( v2_pre_topc @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(6655,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ~ ( v1_xboole_0 @ ( k10_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(6656,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ~ ( v1_xboole_0 @ ( k7_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(6657,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ( k7_lopclset @ A )
            = ( a_1_1_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(6658,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( v17_lattices @ ( k6_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(6659,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( ( u1_struct_0 @ ( k6_lopclset @ A ) )
            = ( k1_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(6660,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ~ ( v1_xboole_0 @ ( k1_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(6661,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l1_pre_topc @ A ) )
         => ( ( k1_lopclset @ A )
            = ( a_1_0_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(6662,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ( k13_lopclset @ A )
            = ( k8_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(6663,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ~ ( v3_struct_0 @ ( k12_lopclset @ A ) )
            & ( v10_lattices @ ( k12_lopclset @ A ) )
            & ( l3_lattices @ ( k12_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(6664,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ( v1_pre_topc @ ( k11_lopclset @ A ) )
            & ( v2_pre_topc @ ( k11_lopclset @ A ) )
            & ( l1_pre_topc @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(6665,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ~ ( v3_realset2 @ A )
            & ( l3_lattices @ A ) )
         => ( ( k9_lopclset @ A )
            = ( k8_lopclset @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(6666,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( ~ ( v3_struct_0 @ ( k6_lopclset @ A ) )
            & ( v10_lattices @ ( k6_lopclset @ A ) )
            & ( l3_lattices @ ( k6_lopclset @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(6667,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ( l3_lattices @ A ) )
         => ? [B: $i] : ( m3_lattice4 @ B @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(6668,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ? [B: $i] : ( m2_lattice4 @ B @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(6669,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A )
            & ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ? [C: $i] : ( m1_lattice4 @ C @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(6670,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m3_lattice4 @ B @ A )
             => ( m2_lattice4 @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[107]) ).

thf(6671,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( m3_lattice4 @ ( u1_struct_0 @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[108]) ).

thf(6672,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ( m2_lattice4 @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[142]) ).

thf(6673,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( m2_lattice4 @ ( u1_struct_0 @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143]) ).

thf(6674,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( r1_filter_1 @ A @ B )
              <=> ? [C: $i] :
                    ( ( m1_lattice4 @ C @ A @ B )
                    & ( v3_lattice4 @ C @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(6675,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( v2_filter_0 @ ( k1_filter_0 @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(6676,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ? [B: $i] :
              ( ( m2_lattice4 @ B @ A )
              & ~ ( v1_xboole_0 @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(6677,plain,
    ( ( l1_pre_topc @ k22_borsuk_1 )
    = $true ),
    inference(unfold_def,[status(thm)],[505]) ).

thf(6678,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A )
            & ( v2_pre_topc @ B )
            & ( l1_pre_topc @ B ) )
         => ( ( v1_pre_topc @ ( k6_borsuk_1 @ A @ B ) )
            & ( v2_pre_topc @ ( k6_borsuk_1 @ A @ B ) )
            & ( l1_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[529]) ).

thf(6679,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ? [B: $i] : ( m1_borsuk_1 @ B @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[538]) ).

thf(6680,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( m1_borsuk_1 @ ( k15_borsuk_1 @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[551]) ).

thf(6681,plain,
    ( ( ~ ( v3_struct_0 @ k22_borsuk_1 )
      & ( v1_pre_topc @ k22_borsuk_1 )
      & ( v2_pre_topc @ k22_borsuk_1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[641]) ).

thf(6682,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A )
            & ~ ( v3_struct_0 @ B )
            & ( v2_pre_topc @ B )
            & ( l1_pre_topc @ B ) )
         => ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ A @ B ) )
            & ( v1_pre_topc @ ( k6_borsuk_1 @ A @ B ) )
            & ( v2_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[647]) ).

thf(6683,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( ( k9_filter_1 @ A )
            = ( a_1_0_filter_1 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[652]) ).

thf(6684,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( v1_relat_1 @ ( k9_filter_1 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[655]) ).

thf(6685,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l3_lattices @ A )
            & ~ ( v3_struct_0 @ B )
            & ( l3_lattices @ B ) )
         => ( ( v3_lattices @ ( k8_filter_1 @ A @ B ) )
            & ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[656]) ).

thf(6686,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A )
            & ( m1_filter_0 @ B @ A )
            & ( m1_filter_0 @ C @ A ) )
         => ( ( k1_filter_1 @ A @ B @ B )
            = B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[666]) ).

thf(6687,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A )
            & ( m1_filter_0 @ B @ A )
            & ( m1_filter_0 @ C @ A ) )
         => ( ( k1_filter_1 @ A @ B @ C )
            = ( k1_filter_1 @ A @ C @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[667]) ).

thf(6688,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A )
            & ( m1_filter_0 @ B @ A )
            & ( m1_filter_0 @ C @ A ) )
         => ( m1_filter_0 @ ( k1_filter_1 @ A @ B @ C ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[668]) ).

thf(6689,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A )
            & ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( r1_filter_1 @ A @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[669]) ).

thf(6690,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A )
            & ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ( ( r1_filter_1 @ A @ B )
           => ( r1_filter_1 @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[670]) ).

thf(6691,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( r1_filter_1 @ ( k8_filter_1 @ A @ B ) @ ( k8_filter_1 @ B @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[693]) ).

thf(6692,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( k1_lattice2 @ ( k8_filter_1 @ A @ B ) )
                = ( k8_filter_1 @ ( k1_lattice2 @ A ) @ ( k1_lattice2 @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[694]) ).

thf(6693,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( ( v3_filter_0 @ A )
                  & ( v3_filter_0 @ B ) )
              <=> ( v3_filter_0 @ ( k8_filter_1 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[695]) ).

thf(6694,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( ~ ( v3_struct_0 @ A )
                  & ( v10_lattices @ A )
                  & ( v17_lattices @ A )
                  & ( l3_lattices @ A )
                  & ~ ( v3_struct_0 @ B )
                  & ( v10_lattices @ B )
                  & ( v17_lattices @ B )
                  & ( l3_lattices @ B ) )
              <=> ( ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                  & ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                  & ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                  & ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[696]) ).

thf(6695,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( ( v15_lattices @ A )
                  & ( v15_lattices @ B ) )
              <=> ( v15_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[701]) ).

thf(6696,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( ( v14_lattices @ A )
                  & ( v14_lattices @ B ) )
              <=> ( v14_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[702]) ).

thf(6697,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( ( v13_lattices @ A )
                  & ( v13_lattices @ B ) )
              <=> ( v13_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[703]) ).

thf(6698,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( ~ ( v3_struct_0 @ A )
                  & ( v10_lattices @ A )
                  & ( v11_lattices @ A )
                  & ( l3_lattices @ A )
                  & ~ ( v3_struct_0 @ B )
                  & ( v10_lattices @ B )
                  & ( v11_lattices @ B )
                  & ( l3_lattices @ B ) )
              <=> ( ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                  & ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                  & ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                  & ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[704]) ).

thf(6699,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( ( v12_lattices @ A )
                  & ( v12_lattices @ B ) )
              <=> ( v12_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[705]) ).

thf(6700,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( l3_lattices @ B ) )
             => ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                  & ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                  & ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) )
               => ( ~ ( v3_struct_0 @ A )
                  & ( v10_lattices @ A )
                  & ( l3_lattices @ A )
                  & ~ ( v3_struct_0 @ B )
                  & ( v10_lattices @ B )
                  & ( l3_lattices @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[708]) ).

thf(6701,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ! [C: $i] :
                  ( ( ~ ( v3_struct_0 @ C )
                    & ( v10_lattices @ C )
                    & ( l3_lattices @ C ) )
                 => ( ( ( r1_filter_1 @ A @ B )
                      & ( r1_filter_1 @ B @ C ) )
                   => ( r1_filter_1 @ A @ C ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[709]) ).

thf(6702,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( ~ ( v3_struct_0 @ B )
                & ( v10_lattices @ B )
                & ( l3_lattices @ B ) )
             => ( ( r1_filter_1 @ A @ B )
              <=> ( r4_wellord1 @ ( k9_filter_1 @ A ) @ ( k9_filter_1 @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[710]) ).

thf(6703,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ( ~ ( v3_struct_0 @ ( k5_filter_1 @ A @ B ) )
                & ( v10_lattices @ ( k5_filter_1 @ A @ B ) )
                & ( v17_lattices @ ( k5_filter_1 @ A @ B ) )
                & ( l3_lattices @ ( k5_filter_1 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[724]) ).

thf(6704,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l3_lattices @ A )
            & ~ ( v3_struct_0 @ B )
            & ( l3_lattices @ B ) )
         => ( ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
            & ( v3_lattices @ ( k8_filter_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[752]) ).

thf(6705,plain,
    ( ( ! [A: $i] :
          ( ( l3_lattices @ A )
         => ( ( v3_lattices @ ( k1_lattice2 @ A ) )
            & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[756]) ).

thf(6706,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( ( v6_group_1 @ A )
          <=> ( v6_group_1 @ ( k1_lattice2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[757]) ).

thf(6707,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( ( ~ ( v3_struct_0 @ A )
              & ( v10_lattices @ A )
              & ( v11_lattices @ A )
              & ( l3_lattices @ A ) )
          <=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
              & ( v10_lattices @ ( k1_lattice2 @ A ) )
              & ( v11_lattices @ ( k1_lattice2 @ A ) )
              & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[779]) ).

thf(6708,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v3_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( ( k1_lattice2 @ ( k1_lattice2 @ A ) )
            = A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[827]) ).

thf(6709,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l3_lattices @ A ) )
         => ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
            & ( v3_lattices @ ( k1_lattice2 @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[861]) ).

thf(6710,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A )
            & ( m1_filter_0 @ B @ A ) )
         => ( ~ ( v3_struct_0 @ ( k8_filter_0 @ A @ B ) )
            & ( v10_lattices @ ( k8_filter_0 @ A @ B ) )
            & ( l3_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[874]) ).

thf(6711,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ( l3_lattices @ A )
            & ( m1_filter_0 @ B @ A )
            & ( m1_filter_0 @ C @ A ) )
         => ( m1_filter_0 @ ( k7_filter_0 @ A @ B @ C ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[876]) ).

thf(6712,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( m1_filter_0 @ ( k1_filter_0 @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[883]) ).

thf(6713,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ? [B: $i] : ( m1_filter_0 @ B @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[884]) ).

thf(6714,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( v3_filter_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[939]) ).

thf(6715,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v3_filter_0 @ A )
            & ( l3_lattices @ A ) )
         => ( v11_lattices @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[940]) ).

thf(6716,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v3_filter_0 @ A )
            & ( l3_lattices @ A ) )
         => ( v14_lattices @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[942]) ).

thf(6717,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ! [B: $i] :
              ( ( m1_filter_0 @ B @ A )
             => ( ( k3_filter_0 @ A @ B )
                = B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[956]) ).

thf(6718,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( ( k1_filter_0 @ A )
            = ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[969]) ).

thf(6719,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( l3_lattices @ A ) )
         => ( m1_filter_0 @ ( u1_struct_0 @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[970]) ).

thf(6720,plain,
    ( ( ? [A: $i] :
          ( ( l3_vectsp_1 @ A )
          & ( v3_vectsp_1 @ A )
          & ~ ( v3_realset2 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1162]) ).

thf(6721,plain,
    ( ( ? [A: $i] :
          ( ( l1_struct_0 @ A )
          & ( v3_realset2 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1163]) ).

thf(6722,plain,
    ( ( ? [A: $i] :
          ( ( l1_rlvect_1 @ A )
          & ~ ( v3_struct_0 @ A )
          & ( v13_vectsp_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1318]) ).

thf(6723,plain,
    ( ( ~ ( v3_struct_0 @ k3_vectsp_1 )
      & ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1333]) ).

thf(6724,plain,
    ( ( ? [A: $i] :
          ( ( l3_vectsp_1 @ A )
          & ~ ( v3_struct_0 @ A )
          & ( v3_vectsp_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1334]) ).

thf(6725,plain,
    ( ( ? [A: $i] :
          ( ( l2_vectsp_1 @ A )
          & ~ ( v3_struct_0 @ A )
          & ( v2_vectsp_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1336]) ).

thf(6726,plain,
    ( ( ? [A: $i] :
          ( ( l1_vectsp_1 @ A )
          & ~ ( v3_struct_0 @ A )
          & ( v1_vectsp_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1338]) ).

thf(6727,plain,
    ( ( ~ ( v3_struct_0 @ k1_vectsp_1 )
      & ( v1_rlvect_1 @ k1_vectsp_1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1342]) ).

thf(6728,plain,
    ( ( ? [A: $i] :
          ( ( l1_group_1 @ A )
          & ~ ( v3_struct_0 @ A )
          & ( v1_group_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1479]) ).

thf(6729,plain,
    ( ( ? [A: $i] :
          ( ( l1_rlvect_1 @ A )
          & ~ ( v3_struct_0 @ A )
          & ( v1_rlvect_1 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1619]) ).

thf(6730,plain,
    ( ( ? [A: $i] :
          ( ( l2_rlvect_1 @ A )
          & ~ ( v3_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1620]) ).

thf(6731,plain,
    ( ( ! [A: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( v3_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1690]) ).

thf(6732,plain,
    ( ( ! [A: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( v3_pre_topc @ ( k1_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1691]) ).

thf(6733,plain,
    ( ( ! [A: $i] :
          ( ( l1_pre_topc @ A )
         => ( ( k1_tops_1 @ A @ ( k1_pre_topc @ A ) )
            = ( k1_pre_topc @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1696]) ).

thf(6734,plain,
    ( ( ! [A: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( ( k1_tops_1 @ A @ ( k2_pre_topc @ A ) )
            = ( k2_pre_topc @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1700]) ).

thf(6735,plain,
    ( ( ! [A: $i] :
          ( ( l1_pre_topc @ A )
         => ( ( k6_pre_topc @ A @ ( k2_pre_topc @ A ) )
            = ( k2_pre_topc @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1717]) ).

thf(6736,plain,
    ( ( ! [A: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( v4_pre_topc @ ( k1_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1722]) ).

thf(6737,plain,
    ( ( ! [A: $i] :
          ( ( l1_pre_topc @ A )
         => ( v1_tops_1 @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1755]) ).

thf(6738,plain,
    ( ( ? [A: $i] : ( l1_pre_topc @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1780]) ).

thf(6739,plain,
    ( ( ! [A: $i] :
          ( ( l1_pre_topc @ A )
         => ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1781]) ).

thf(6740,plain,
    ( ( ! [A: $i] :
          ( ( l1_pre_topc @ A )
         => ? [B: $i] : ( m1_pre_topc @ B @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1782]) ).

thf(6741,plain,
    ( ( ! [A: $i] :
          ( ( l1_pre_topc @ A )
         => ! [B: $i] :
              ( ( m1_pre_topc @ B @ A )
             => ( l1_pre_topc @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1783]) ).

thf(6742,plain,
    ( ( ! [A: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1797]) ).

thf(6743,plain,
    ( ( ! [A: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1853]) ).

thf(6744,plain,
    ( ( ! [A: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ? [B: $i] :
              ( ( m1_pre_topc @ B @ A )
              & ( v1_pre_topc @ B )
              & ( v2_pre_topc @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1855]) ).

thf(6745,plain,
    ( ( ! [A: $i] :
          ( ( ( v2_pre_topc @ A )
            & ( l1_pre_topc @ A ) )
         => ! [B: $i] :
              ( ( m1_pre_topc @ B @ A )
             => ( v2_pre_topc @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1857]) ).

thf(6746,plain,
    ( ( ! [A: $i] :
          ( ( ~ ( v3_struct_0 @ A )
            & ( l1_pre_topc @ A ) )
         => ? [B: $i] :
              ( ( m1_pre_topc @ B @ A )
              & ~ ( v3_struct_0 @ B )
              & ( v1_pre_topc @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1858]) ).

thf(6747,plain,
    ( ( ! [A: $i] :
          ( ( l1_pre_topc @ A )
         => ? [B: $i] :
              ( ( m1_pre_topc @ B @ A )
              & ( v1_pre_topc @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1859]) ).

thf(6748,plain,
    ( ( ? [A: $i] :
          ( ( l1_pre_topc @ A )
          & ~ ( v3_struct_0 @ A )
          & ( v1_pre_topc @ A )
          & ( v2_pre_topc @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1862]) ).

thf(6749,plain,
    ( ( ? [A: $i] :
          ( ( l1_pre_topc @ A )
          & ( v1_pre_topc @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1863]) ).

thf(6750,plain,
    ( ( ? [A: $i] : ( l3_lattices @ A ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1888]) ).

thf(6751,plain,
    ( ( ! [A: $i] :
          ( ( l3_lattices @ A )
         => ( ( l1_lattices @ A )
            & ( l2_lattices @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1889]) ).

thf(6752,plain,
    ( ( ? [A: $i] :
          ( ( l3_lattices @ A )
          & ~ ( v3_struct_0 @ A )
          & ( v3_lattices @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1982]) ).

thf(6753,plain,
    ( ( ? [A: $i] :
          ( ( l1_lattices @ A )
          & ~ ( v3_struct_0 @ A )
          & ( v1_lattices @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1983]) ).

thf(6754,plain,
    ( ( ? [A: $i] :
          ( ( l2_lattices @ A )
          & ~ ( v3_struct_0 @ A )
          & ( v2_lattices @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1984]) ).

thf(6755,plain,
    ( ( ? [A: $i] :
          ( ( l3_lattices @ A )
          & ( v3_lattices @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1988]) ).

thf(6756,plain,
    ( ( ? [A: $i] :
          ( ( l2_struct_0 @ A )
          & ~ ( v3_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2210]) ).

thf(6757,plain,
    ( ( ? [A: $i] :
          ( ( l1_struct_0 @ A )
          & ~ ( v3_struct_0 @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2211]) ).

thf(6758,plain,
    ( ( ( ~ ( v3_struct_0 @ sK1_A )
        & ( v10_lattices @ sK1_A )
        & ( v17_lattices @ sK1_A )
        & ~ ( v3_realset2 @ sK1_A )
        & ( l3_lattices @ sK1_A ) )
     => ? [SY393: $i] :
          ( ~ ( v3_struct_0 @ SY393 )
          & ( v2_pre_topc @ SY393 )
          & ( l1_pre_topc @ SY393 )
          & ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SY393 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[6470]) ).

thf(6759,plain,
    ( ( ~ ( v3_struct_0 @ sK1_A ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[6758]) ).

thf(6760,plain,
    ( ( v10_lattices @ sK1_A )
    = $true ),
    inference(standard_cnf,[status(thm)],[6758]) ).

thf(6761,plain,
    ( ( v17_lattices @ sK1_A )
    = $true ),
    inference(standard_cnf,[status(thm)],[6758]) ).

thf(6762,plain,
    ( ( ~ ( v3_realset2 @ sK1_A ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[6758]) ).

thf(6763,plain,
    ( ( l3_lattices @ sK1_A )
    = $true ),
    inference(standard_cnf,[status(thm)],[6758]) ).

thf(6764,plain,
    ( ( ? [SY393: $i] :
          ( ~ ( v3_struct_0 @ SY393 )
          & ( v2_pre_topc @ SY393 )
          & ( l1_pre_topc @ SY393 )
          & ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SY393 ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[6758]) ).

thf(6765,plain,
    ( ( ~ ? [SY393: $i] :
            ( ~ ( v3_struct_0 @ SY393 )
            & ( v2_pre_topc @ SY393 )
            & ( l1_pre_topc @ SY393 )
            & ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SY393 ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[6764]) ).

thf(6766,plain,
    ( ( ! [SY393: $i] :
          ( ( v3_struct_0 @ SY393 )
          | ~ ( v2_pre_topc @ SY393 )
          | ~ ( l1_pre_topc @ SY393 )
          | ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SY393 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6765]) ).

thf(6767,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_lattice4 @ ( k13_lopclset @ A ) @ A @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6471]) ).

thf(6768,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k2_relat_1 @ ( k13_lopclset @ A ) )
            = ( u1_struct_0 @ ( k12_lopclset @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6472]) ).

thf(6769,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k10_lopclset @ A )
            = ( k1_lopclset @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6473]) ).

thf(6770,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( r1_tarski @ ( k10_lopclset @ A ) @ ( k1_lopclset @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6474]) ).

thf(6771,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k3_tarski @ ( k10_lopclset @ A ) )
            = ( k7_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6475]) ).

thf(6772,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k10_lopclset @ A )
            = ( k2_relat_1 @ ( k9_lopclset @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6476]) ).

thf(6773,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( m1_subset_1 @ ( k1_pre_topc @ A ) @ ( u1_struct_0 @ ( k6_lopclset @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6477]) ).

thf(6774,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( m1_subset_1 @ ( k2_pre_topc @ A ) @ ( u1_struct_0 @ ( k6_lopclset @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6478]) ).

thf(6775,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( m1_lattice4 @ ( k13_lopclset @ A ) @ A @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6479]) ).

thf(6776,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v1_funct_1 @ ( k8_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v1_relat_1 @ ( k8_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6480]) ).

thf(6777,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ( v3_struct_0 @ B )
              | ~ ( v10_lattices @ B )
              | ~ ( v11_lattices @ B )
              | ~ ( l3_lattices @ B )
              | ! [C: $i] :
                  ( ~ ( m1_lattice4 @ C @ B @ A )
                  | ~ ( v2_lattice4 @ C @ B @ A )
                  | ( v11_lattices @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6481]) ).

thf(6778,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ! [B: $i] :
              ( ( u1_struct_0 @ A )
             != ( k1_tarski @ B ) )
          | ( v3_realset2 @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ~ ( v3_realset2 @ A )
          | ( ( u1_struct_0 @ A )
            = ( k1_tarski @ ( sK2_B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6482]) ).

thf(6779,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( l1_struct_0 @ B )
          | ( m5_grcat_1 @ ( sK3_C @ B @ A ) @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6483]) ).

thf(6780,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l1_struct_0 @ B )
          | ( ( m5_grcat_1 @ ( sK4_C @ B @ A ) @ A @ B )
            & ~ ( v1_xboole_0 @ ( sK4_C @ B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6484]) ).

thf(6781,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l1_struct_0 @ B )
          | ~ ( v1_xboole_0 @ ( k17_grcat_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6485]) ).

thf(6782,plain,
    ( ( ~ ( v1_xboole_0 @ sK5_A )
      & ( v5_grcat_1 @ sK5_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6486]) ).

thf(6783,plain,
    ( ( ~ ( v1_xboole_0 @ sK6_A )
      & ( v4_grcat_1 @ sK6_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6487]) ).

thf(6784,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( m1_eqrel_1 @ ( k15_borsuk_1 @ A ) @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6488]) ).

thf(6785,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( ! [B: $i] :
                ( ~ ( m1_borsuk_1 @ B @ A )
                | ~ ( v1_xboole_0 @ B ) )
            & ! [B: $i] :
                ( ~ ( m1_borsuk_1 @ B @ A )
                | ( m1_eqrel_1 @ B @ ( u1_struct_0 @ A ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6489]) ).

thf(6786,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ! [B: $i] :
              ( ~ ( m1_pre_topc @ B @ A )
              | ( r1_tarski @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6490]) ).

thf(6787,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( ( m1_pre_topc @ ( sK7_B @ A ) @ A )
            & ~ ( v3_struct_0 @ ( sK7_B @ A ) )
            & ( v1_pre_topc @ ( sK7_B @ A ) )
            & ( v2_pre_topc @ ( sK7_B @ A ) )
            & ( v1_borsuk_1 @ ( sK7_B @ A ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6491]) ).

thf(6788,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( ( m1_pre_topc @ ( sK8_B @ A ) @ A )
            & ( v1_pre_topc @ ( sK8_B @ A ) )
            & ( v2_pre_topc @ ( sK8_B @ A ) )
            & ( v1_borsuk_1 @ ( sK8_B @ A ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6492]) ).

thf(6789,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ( v1_setfam_1 @ ( k15_borsuk_1 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6493]) ).

thf(6790,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( v3_struct_0 @ ( k5_filter_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( v3_lattices @ ( k5_filter_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( v10_lattices @ ( k5_filter_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( l3_lattices @ ( k5_filter_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6494]) ).

thf(6791,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( ( k1_filter_1 @ A @ B @ C )
            = ( k3_xboole_0 @ B @ C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6495]) ).

thf(6792,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( m2_filter_1 @ ( sK9_C @ B @ A ) @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6496]) ).

thf(6793,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( m1_filter_1 @ ( sK10_C @ B @ A ) @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6497]) ).

thf(6794,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v15_lattices @ A )
                | ~ ( v16_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v15_lattices @ B )
                | ~ ( v16_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v15_lattices @ A )
                | ~ ( v16_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v15_lattices @ B )
                | ~ ( v16_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v10_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v15_lattices @ A )
                | ~ ( v16_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v15_lattices @ B )
                | ~ ( v16_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v15_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v15_lattices @ A )
                | ~ ( v16_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v15_lattices @ B )
                | ~ ( v16_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v16_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v15_lattices @ A )
                | ~ ( v16_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v15_lattices @ B )
                | ~ ( v16_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v15_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v16_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v15_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v16_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6498]) ).

thf(6795,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v3_filter_0 @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ( v3_filter_0 @ ( k5_filter_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6499]) ).

thf(6796,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ! [C: $i] :
                  ( ~ ( m1_filter_0 @ C @ A )
                  | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6500]) ).

thf(6797,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v13_lattices @ A )
          | ~ ( v3_filter_0 @ A )
          | ( v1_lattice2 @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v1_lattice2 @ A )
          | ( v13_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v1_lattice2 @ A )
          | ( v3_filter_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6501]) ).

thf(6798,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v13_lattices @ ( k1_lattice2 @ A ) )
          | ( v14_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v14_lattices @ A )
          | ( v13_lattices @ ( k1_lattice2 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6502]) ).

thf(6799,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v13_lattices @ A )
          | ( v14_lattices @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v14_lattices @ ( k1_lattice2 @ A ) )
          | ( v13_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6503]) ).

thf(6800,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( v1_relat_1 @ ( k10_filter_0 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6504]) ).

thf(6801,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( ( k7_filter_0 @ A @ B @ C )
            = ( k5_filter_0 @ A @ B @ C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6505]) ).

thf(6802,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( m1_filter_0 @ ( k6_filter_0 @ A @ B @ C ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6506]) ).

thf(6803,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ( v3_struct_0 @ A )
              | ~ ( v10_lattices @ A )
              | ~ ( v3_filter_0 @ A )
              | ~ ( l3_lattices @ A )
              | ( v3_filter_0 @ ( k8_filter_0 @ A @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6507]) ).

thf(6804,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ~ ( v11_lattices @ A )
              | ( v11_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6508]) ).

thf(6805,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ~ ( v12_lattices @ A )
              | ( v12_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6509]) ).

thf(6806,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ~ ( v14_lattices @ A )
              | ( v14_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6510]) ).

thf(6807,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v3_lattices @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k8_filter_0 @ A @ ( k1_filter_0 @ A ) )
            = A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6511]) ).

thf(6808,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ( B
                  = ( k1_filter_0 @ A ) )
                | ~ ( v2_filter_0 @ B @ A )
                | ( v1_filter_0 @ B @ A ) )
            & ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ~ ( v1_filter_0 @ B @ A )
                | ( B
                 != ( k1_filter_0 @ A ) ) )
            & ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ~ ( v1_filter_0 @ B @ A )
                | ( v2_filter_0 @ B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6512]) ).

thf(6809,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ! [C: $i] :
                  ( ~ ( m1_filter_0 @ C @ A )
                  | ( ( k3_filter_0 @ A @ ( k4_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) )
                    = ( k7_filter_0 @ A @ B @ C ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6513]) ).

thf(6810,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( m1_subset_1 @ ( sK11_B @ A ) @ ( u1_struct_0 @ A ) )
            & ( m1_subset_1 @ ( sK12_SY394 @ A ) @ ( u1_struct_0 @ A ) )
            & ( ( sK11_B @ A )
             != ( sK12_SY394 @ A ) ) )
          | ( v3_realset2 @ A ) )
      & ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v3_realset2 @ A )
          | ! [B: $i] :
              ( ~ ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
              | ! [C: $i] :
                  ( ~ ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
                  | ( B = C ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6514]) ).

thf(6811,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v1_realset1 @ ( u1_struct_0 @ A ) )
          | ( v3_realset2 @ A ) )
      & ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v3_realset2 @ A )
          | ( v1_realset1 @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6515]) ).

thf(6812,plain,
    ( ( ( l3_vectsp_1 @ sK13_A )
      & ( v3_vectsp_1 @ sK13_A )
      & ( v4_realset2 @ sK13_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6516]) ).

thf(6813,plain,
    ( ( ( l3_vectsp_1 @ k3_vectsp_1 )
      & ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6517]) ).

thf(6814,plain,
    ( ( ( l1_rlvect_1 @ k1_vectsp_1 )
      & ( v1_rlvect_1 @ k1_vectsp_1 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6518]) ).

thf(6815,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( l4_vectsp_1 @ ( sK14_B @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6519]) ).

thf(6816,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ! [B: $i] :
              ( ~ ( l4_vectsp_1 @ B @ A )
              | ( l1_rlvect_1 @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6520]) ).

thf(6817,plain,
    ( ( l3_vectsp_1 @ sK15_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6521]) ).

thf(6818,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_vectsp_1 @ A )
          | ( l1_rlvect_1 @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_vectsp_1 @ A )
          | ( l2_vectsp_1 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6522]) ).

thf(6819,plain,
    ( ( l2_vectsp_1 @ sK16_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6523]) ).

thf(6820,plain,
    ( ( ! [A: $i] :
          ( ~ ( l2_vectsp_1 @ A )
          | ( l1_vectsp_1 @ A ) )
      & ! [A: $i] :
          ( ~ ( l2_vectsp_1 @ A )
          | ( l2_struct_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6524]) ).

thf(6821,plain,
    ( ( l1_vectsp_1 @ sK17_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6525]) ).

thf(6822,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_vectsp_1 @ A )
          | ( l1_group_1 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6526]) ).

thf(6823,plain,
    ( ( ( l3_vectsp_1 @ sK18_A )
      & ( v3_vectsp_1 @ sK18_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6528]) ).

thf(6824,plain,
    ( ( ( l2_vectsp_1 @ sK19_A )
      & ( v2_vectsp_1 @ sK19_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6529]) ).

thf(6825,plain,
    ( ( ( l1_vectsp_1 @ sK20_A )
      & ( v1_vectsp_1 @ sK20_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6530]) ).

thf(6826,plain,
    ( ( l1_group_1 @ sK21_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6531]) ).

thf(6827,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_group_1 @ A )
          | ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6532]) ).

thf(6828,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v1_finset_1 @ ( u1_struct_0 @ A ) )
          | ( v6_group_1 @ A ) )
      & ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v6_group_1 @ A )
          | ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6533]) ).

thf(6829,plain,
    ( ( ( l1_group_1 @ sK22_A )
      & ( v1_group_1 @ sK22_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6534]) ).

thf(6830,plain,
    ( ( l2_rlvect_1 @ sK23_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6535]) ).

thf(6831,plain,
    ( ( ! [A: $i] :
          ( ~ ( l2_rlvect_1 @ A )
          | ( l1_rlvect_1 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6536]) ).

thf(6832,plain,
    ( ( l1_rlvect_1 @ sK24_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6537]) ).

thf(6833,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_rlvect_1 @ A )
          | ( l2_struct_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6538]) ).

thf(6834,plain,
    ( ( ( l2_rlvect_1 @ sK25_A )
      & ( v2_rlvect_1 @ sK25_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6539]) ).

thf(6835,plain,
    ( ( ( l1_rlvect_1 @ sK26_A )
      & ( v1_rlvect_1 @ sK26_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6540]) ).

thf(6836,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( k3_subset_1 @ ( u1_struct_0 @ A ) @ ( k2_pre_topc @ A ) )
            = ( k1_pre_topc @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6541]) ).

thf(6837,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v3_pre_topc @ ( k2_pre_topc @ A ) @ A ) )
      & ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6542]) ).

thf(6838,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( k2_pre_topc @ A )
            = ( k3_subset_1 @ ( u1_struct_0 @ A ) @ ( k1_pre_topc @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6543]) ).

thf(6839,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( k2_pre_topc @ A )
            = ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6544]) ).

thf(6840,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( k2_pre_topc @ A )
            = ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6545]) ).

thf(6841,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( k1_pre_topc @ A )
            = k1_xboole_0 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6546]) ).

thf(6842,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ~ ( v1_xboole_0 @ ( k2_pre_topc @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6547]) ).

thf(6843,plain,
    ( ( l2_lattices @ sK27_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6548]) ).

thf(6844,plain,
    ( ( ! [A: $i] :
          ( ~ ( l2_lattices @ A )
          | ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6549]) ).

thf(6845,plain,
    ( ( l1_lattices @ sK28_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6550]) ).

thf(6846,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_lattices @ A )
          | ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6551]) ).

thf(6847,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v15_lattices @ A )
          | ~ ( v16_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ( v17_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v15_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v16_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v11_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6552]) ).

thf(6848,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v13_lattices @ A )
          | ~ ( v14_lattices @ A )
          | ( v15_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v15_lattices @ A )
          | ( v13_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v15_lattices @ A )
          | ( v14_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6553]) ).

thf(6849,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( v15_lattices @ A )
          | ~ ( v16_lattices @ A )
          | ~ ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( v15_lattices @ A )
          | ~ ( v16_lattices @ A )
          | ( v17_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6554]) ).

thf(6850,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ( v11_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ( v13_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ( v14_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ( v15_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ( v16_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6555]) ).

thf(6851,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v15_lattices @ A )
          | ~ ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v15_lattices @ A )
          | ( v13_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v15_lattices @ A )
          | ( v14_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6556]) ).

thf(6852,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v13_lattices @ A )
          | ~ ( v14_lattices @ A )
          | ~ ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v13_lattices @ A )
          | ~ ( v14_lattices @ A )
          | ( v15_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6557]) ).

thf(6853,plain,
    ( ( ( l2_lattices @ sK29_A )
      & ( v2_lattices @ sK29_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6558]) ).

thf(6854,plain,
    ( ( ( l1_lattices @ sK30_A )
      & ( v1_lattices @ sK30_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6559]) ).

thf(6855,plain,
    ( ( l2_struct_0 @ sK31_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6560]) ).

thf(6856,plain,
    ( ( ! [A: $i] :
          ( ~ ( l2_struct_0 @ A )
          | ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6561]) ).

thf(6857,plain,
    ( ( l1_struct_0 @ sK32_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6562]) ).

thf(6858,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) )
          | ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v3_struct_0 @ A )
          | ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6563]) ).

thf(6859,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6564]) ).

thf(6860,plain,
    ( ( ( l2_struct_0 @ sK33_A )
      & ( v2_struct_0 @ sK33_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6565]) ).

thf(6861,plain,
    ( ( ( l1_struct_0 @ sK34_A )
      & ( v1_struct_0 @ sK34_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6566]) ).

thf(6862,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ! [B: $i] :
              ~ ( v1_relat_1 @ B )
          | ( r1_rfinseq @ A @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6567]) ).

thf(6863,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_relat_1 @ B )
          | ~ ( r1_rfinseq @ A @ B )
          | ( r1_rfinseq @ B @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6568]) ).

thf(6864,plain,
    ( ( ! [A: $i] :
          ( ( v1_realset1 @ A )
          | ~ ( v1_xboole_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6569]) ).

thf(6865,plain,
    ( ( ~ ( v1_xboole_0 @ sK35_A )
      & ~ ( v1_realset1 @ sK35_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6570]) ).

thf(6866,plain,
    ( ( ~ ( v1_xboole_0 @ sK36_A )
      & ( v1_realset1 @ sK36_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6571]) ).

thf(6867,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ! [B: $i] : ( v1_relat_1 @ ( k1_realset1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6572]) ).

thf(6868,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ! [B: $i] :
              ( ~ ( m1_eqrel_1 @ B @ A )
              | ~ ( v1_xboole_0 @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6580]) ).

thf(6869,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ( v1_relat_1 @ ( k17_finseq_1 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6581]) ).

thf(6870,plain,
    ( ( ~ ( v1_xboole_0 @ sK37_A )
      & ( v1_fraenkel @ sK37_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6587]) ).

thf(6871,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_finset_1 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6588]) ).

thf(6872,plain,
    ( ( ~ ( v1_xboole_0 @ sK38_A )
      & ( v1_finset_1 @ sK38_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6589]) ).

thf(6873,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ B )
          | ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6591]) ).

thf(6874,plain,
    ( ( ( v1_funct_1 @ sK39_A )
      & ( v1_relat_1 @ sK39_A )
      & ( v2_funct_1 @ sK39_A )
      & ( v1_xboole_0 @ sK39_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6593]) ).

thf(6875,plain,
    ( ( ( v1_funct_1 @ sK40_A )
      & ( v1_relat_1 @ sK40_A )
      & ( v2_funct_1 @ sK40_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6596]) ).

thf(6876,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_xboole_0 @ A )
          | ~ ( v1_funct_1 @ A )
          | ( v1_funct_1 @ A ) )
      & ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_xboole_0 @ A )
          | ~ ( v1_funct_1 @ A )
          | ( v1_relat_1 @ A ) )
      & ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_xboole_0 @ A )
          | ~ ( v1_funct_1 @ A )
          | ( v2_funct_1 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6597]) ).

thf(6877,plain,
    ( ( ( v1_relat_1 @ sK41_A )
      & ( v1_xboole_0 @ sK41_A )
      & ( v1_funct_1 @ sK41_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6598]) ).

thf(6878,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_funct_1 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6599]) ).

thf(6879,plain,
    ( ( ( v1_funct_1 @ sK42_A )
      & ( v1_relat_1 @ sK42_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6600]) ).

thf(6880,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k8_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6601]) ).

thf(6881,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ! [B: $i] : ( v1_relat_1 @ ( k7_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6602]) ).

thf(6882,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6604]) ).

thf(6883,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ( ( k4_relat_1 @ ( k4_relat_1 @ A ) )
            = A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6605]) ).

thf(6884,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ( v1_relat_1 @ ( k4_relat_1 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6606]) ).

thf(6885,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ( ( k8_relat_1 @ A @ ( k8_relat_1 @ A @ B ) )
            = ( k8_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6607]) ).

thf(6886,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ( ( k7_relat_1 @ ( k7_relat_1 @ B @ A ) @ A )
            = ( k7_relat_1 @ B @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6608]) ).

thf(6887,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ! [B: $i] :
              ( ~ ( v1_relat_1 @ B )
              | ! [C: $i] :
                  ( ~ ( v1_relat_1 @ C )
                  | ( ( k5_relat_1 @ ( k5_relat_1 @ A @ B ) @ C )
                    = ( k5_relat_1 @ A @ ( k5_relat_1 @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6609]) ).

thf(6888,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k4_xboole_0 @ B @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6610]) ).

thf(6889,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k3_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6611]) ).

thf(6890,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ~ ( r1_tarski @ A @ B )
          | ( v1_relat_1 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6613]) ).

thf(6891,plain,
    ( ( ( v1_relat_1 @ sK43_A )
      & ( v3_relat_1 @ sK43_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6614]) ).

thf(6892,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ ( k4_relat_1 @ A ) ) )
      & ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ ( k4_relat_1 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6615]) ).

thf(6893,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ ( k5_relat_1 @ B @ A ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ~ ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ ( k5_relat_1 @ B @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6616]) ).

thf(6894,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ~ ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ ( k5_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6617]) ).

thf(6895,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ ( k2_relat_1 @ A ) ) )
      & ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ ( k2_relat_1 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6618]) ).

thf(6896,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ ( k1_relat_1 @ A ) ) )
      & ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ ( k1_relat_1 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6619]) ).

thf(6897,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ~ ( v1_relat_1 @ A )
          | ~ ( v1_xboole_0 @ ( k2_relat_1 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6620]) ).

thf(6898,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ~ ( v1_relat_1 @ A )
          | ~ ( v1_xboole_0 @ ( k1_relat_1 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6621]) ).

thf(6899,plain,
    ( ( ~ ( v1_xboole_0 @ sK44_A )
      & ( v1_relat_1 @ sK44_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6622]) ).

thf(6900,plain,
    ( ( ( v1_relat_1 @ k1_xboole_0 )
      & ( v1_xboole_0 @ k1_xboole_0 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6623]) ).

thf(6901,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6624]) ).

thf(6902,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k4_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6625]) ).

thf(6903,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k2_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6626]) ).

thf(6904,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k3_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6627]) ).

thf(6905,plain,
    ( ( ( v1_relat_1 @ sK45_A )
      & ( v1_xboole_0 @ sK45_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6628]) ).

thf(6906,plain,
    ( ( ! [A: $i] :
          ( ( v2_setfam_1 @ A )
          | ~ ( v1_xboole_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6629]) ).

thf(6907,plain,
    ( ( ~ ( v1_xboole_0 @ sK46_A )
      & ( v1_setfam_1 @ sK46_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6630]) ).

thf(6908,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ! [B: $i] : ( v1_xboole_0 @ B )
          | ~ ( r2_subset_1 @ A @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6631]) ).

thf(6909,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ B )
          | ~ ( r2_subset_1 @ A @ B )
          | ( r2_subset_1 @ B @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6632]) ).

thf(6910,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ! [B: $i] : ( v1_xboole_0 @ B )
          | ~ ( r1_subset_1 @ A @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6633]) ).

thf(6911,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ B )
          | ~ ( r1_subset_1 @ A @ B )
          | ( r1_subset_1 @ B @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6634]) ).

thf(6912,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ B )
          | ( v1_xboole_0 @ C )
          | ( v1_xboole_0 @ D )
          | ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ A @ B @ C @ D ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6635]) ).

thf(6913,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ B )
          | ( v1_xboole_0 @ C )
          | ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6636]) ).

thf(6914,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ B )
          | ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6637]) ).

thf(6915,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A = B )
          | ~ ( v1_xboole_0 @ A )
          | ~ ( v1_xboole_0 @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6642]) ).

thf(6916,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( r2_hidden @ A @ B )
          | ~ ( v1_xboole_0 @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6643]) ).

thf(6917,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( A = k1_xboole_0 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6644]) ).

thf(6918,plain,
    ( ( ! [A: $i] :
          ( ( A != k1_xboole_0 )
          | ( v1_xboole_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( A = k1_xboole_0 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6645]) ).

thf(6919,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ! [B: $i] :
              ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6646]) ).

thf(6920,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ! [B: $i] :
              ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6647]) ).

thf(6921,plain,
    ( ( ~ ( v1_xboole_0 @ sK47_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6648]) ).

thf(6922,plain,
    ( ( v1_xboole_0 @ sK48_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6649]) ).

thf(6923,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( r1_filter_1 @ A @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6651]) ).

thf(6924,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v2_funct_1 @ ( k9_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6652]) ).

thf(6925,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k12_lopclset @ A )
            = ( k6_lopclset @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6653]) ).

thf(6926,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v3_struct_0 @ ( k11_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v1_pre_topc @ ( k11_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v2_pre_topc @ ( k11_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6654]) ).

thf(6927,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v1_xboole_0 @ ( k10_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6655]) ).

thf(6928,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v1_xboole_0 @ ( k7_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6656]) ).

thf(6929,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k7_lopclset @ A )
            = ( a_1_1_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6657]) ).

thf(6930,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( v17_lattices @ ( k6_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6658]) ).

thf(6931,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( ( u1_struct_0 @ ( k6_lopclset @ A ) )
            = ( k1_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6659]) ).

thf(6932,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ~ ( v1_xboole_0 @ ( k1_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6660]) ).

thf(6933,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_pre_topc @ A )
          | ( ( k1_lopclset @ A )
            = ( a_1_0_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6661]) ).

thf(6934,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k13_lopclset @ A )
            = ( k8_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6662]) ).

thf(6935,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v3_struct_0 @ ( k12_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v10_lattices @ ( k12_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( l3_lattices @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6663]) ).

thf(6936,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v1_pre_topc @ ( k11_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v2_pre_topc @ ( k11_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( l1_pre_topc @ ( k11_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6664]) ).

thf(6937,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k9_lopclset @ A )
            = ( k8_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6665]) ).

thf(6938,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ~ ( v3_struct_0 @ ( k6_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( v10_lattices @ ( k6_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( l3_lattices @ ( k6_lopclset @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6666]) ).

thf(6939,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m3_lattice4 @ ( sK49_B @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6667]) ).

thf(6940,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m2_lattice4 @ ( sK50_B @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6668]) ).

thf(6941,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( v10_lattices @ B )
          | ~ ( l3_lattices @ B )
          | ( m1_lattice4 @ ( sK51_C @ B @ A ) @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6669]) ).

thf(6942,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m3_lattice4 @ B @ A )
              | ( m2_lattice4 @ B @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6670]) ).

thf(6943,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m3_lattice4 @ ( u1_struct_0 @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6671]) ).

thf(6944,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ( m2_lattice4 @ B @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6672]) ).

thf(6945,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m2_lattice4 @ ( u1_struct_0 @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6673]) ).

thf(6946,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ! [C: $i] :
                    ( ~ ( m1_lattice4 @ C @ A @ B )
                    | ~ ( v3_lattice4 @ C @ A @ B ) )
                | ( r1_filter_1 @ A @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( r1_filter_1 @ A @ B )
                | ( ( m1_lattice4 @ ( sK52_C @ B @ A ) @ A @ B )
                  & ( v3_lattice4 @ ( sK52_C @ B @ A ) @ A @ B ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6674]) ).

thf(6947,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v2_filter_0 @ ( k1_filter_0 @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6675]) ).

thf(6948,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ( m2_lattice4 @ ( sK53_B @ A ) @ A )
            & ~ ( v1_xboole_0 @ ( sK53_B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6676]) ).

thf(6949,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ( v1_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ( v2_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ( l1_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6678]) ).

thf(6950,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( m1_borsuk_1 @ ( sK54_B @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6679]) ).

thf(6951,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( m1_borsuk_1 @ ( k15_borsuk_1 @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6680]) ).

thf(6952,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( v3_struct_0 @ B )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( v3_struct_0 @ B )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ( v1_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( v3_struct_0 @ B )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ( v2_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6682]) ).

thf(6953,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k9_filter_1 @ A )
            = ( a_1_0_filter_1 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6683]) ).

thf(6954,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v1_relat_1 @ ( k9_filter_1 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6684]) ).

thf(6955,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l3_lattices @ B )
          | ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l3_lattices @ B )
          | ( v3_lattices @ ( k8_filter_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6685]) ).

thf(6956,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ! [C: $i] :
              ~ ( m1_filter_0 @ C @ A )
          | ( ( k1_filter_1 @ A @ B @ B )
            = B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6686]) ).

thf(6957,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( ( k1_filter_1 @ A @ B @ C )
            = ( k1_filter_1 @ A @ C @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6687]) ).

thf(6958,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( m1_filter_0 @ ( k1_filter_1 @ A @ B @ C ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6688]) ).

thf(6959,plain,
    ( ( ! [A: $i] :
          ( ! [B: $i] :
              ( ( v3_struct_0 @ A )
              | ~ ( v10_lattices @ A )
              | ~ ( l3_lattices @ A )
              | ( v3_struct_0 @ B )
              | ~ ( v10_lattices @ B )
              | ~ ( l3_lattices @ B ) )
          | ( r1_filter_1 @ A @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6689]) ).

thf(6960,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( v10_lattices @ B )
          | ~ ( l3_lattices @ B )
          | ~ ( r1_filter_1 @ A @ B )
          | ( r1_filter_1 @ B @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6690]) ).

thf(6961,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ( v3_struct_0 @ B )
              | ~ ( v10_lattices @ B )
              | ~ ( l3_lattices @ B )
              | ( r1_filter_1 @ ( k8_filter_1 @ A @ B ) @ ( k8_filter_1 @ B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6691]) ).

thf(6962,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ( v3_struct_0 @ B )
              | ~ ( v10_lattices @ B )
              | ~ ( l3_lattices @ B )
              | ( ( k1_lattice2 @ ( k8_filter_1 @ A @ B ) )
                = ( k8_filter_1 @ ( k1_lattice2 @ A ) @ ( k1_lattice2 @ B ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6692]) ).

thf(6963,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_filter_0 @ A )
                | ~ ( v3_filter_0 @ B )
                | ( v3_filter_0 @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_filter_0 @ ( k8_filter_1 @ A @ B ) )
                | ( v3_filter_0 @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_filter_0 @ ( k8_filter_1 @ A @ B ) )
                | ( v3_filter_0 @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6693]) ).

thf(6964,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v17_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v17_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v17_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v17_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v10_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v17_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v17_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v17_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v17_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v17_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v17_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v17_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6694]) ).

thf(6965,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v15_lattices @ A )
                | ~ ( v15_lattices @ B )
                | ( v15_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v15_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v15_lattices @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6695]) ).

thf(6966,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v14_lattices @ A )
                | ~ ( v14_lattices @ B )
                | ( v14_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v14_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v14_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v14_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v14_lattices @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6696]) ).

thf(6967,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v13_lattices @ A )
                | ~ ( v13_lattices @ B )
                | ( v13_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v13_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v13_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v13_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v13_lattices @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6697]) ).

thf(6968,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v11_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v11_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v11_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v11_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v10_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v11_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v11_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v11_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v11_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v11_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v11_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v11_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6698]) ).

thf(6969,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v12_lattices @ A )
                | ~ ( v12_lattices @ B )
                | ( v12_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v12_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v12_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v12_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v12_lattices @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6699]) ).

thf(6970,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6700]) ).

thf(6971,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ( v3_struct_0 @ B )
              | ~ ( v10_lattices @ B )
              | ~ ( l3_lattices @ B )
              | ! [C: $i] :
                  ( ( v3_struct_0 @ C )
                  | ~ ( v10_lattices @ C )
                  | ~ ( l3_lattices @ C )
                  | ~ ( r1_filter_1 @ A @ B )
                  | ~ ( r1_filter_1 @ B @ C )
                  | ( r1_filter_1 @ A @ C ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6701]) ).

thf(6972,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( r1_filter_1 @ A @ B )
                | ( r4_wellord1 @ ( k9_filter_1 @ A ) @ ( k9_filter_1 @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( r4_wellord1 @ ( k9_filter_1 @ A ) @ ( k9_filter_1 @ B ) )
                | ( r1_filter_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6702]) ).

thf(6973,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ~ ( v3_struct_0 @ ( k5_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ( v10_lattices @ ( k5_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ( v17_lattices @ ( k5_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ( l3_lattices @ ( k5_filter_1 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6703]) ).

thf(6974,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l3_lattices @ B )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l3_lattices @ B )
          | ( v3_lattices @ ( k8_filter_1 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6704]) ).

thf(6975,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( l3_lattices @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_lattices @ ( k1_lattice2 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6705]) ).

thf(6976,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v6_group_1 @ A )
          | ( v6_group_1 @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v6_group_1 @ ( k1_lattice2 @ A ) )
          | ( v6_group_1 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6706]) ).

thf(6977,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v10_lattices @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v11_lattices @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( l3_lattices @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ A ) )
          | ( v10_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ A ) )
          | ( v11_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ A ) )
          | ( l3_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6707]) ).

thf(6978,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v3_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k1_lattice2 @ ( k1_lattice2 @ A ) )
            = A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6708]) ).

thf(6979,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_lattices @ ( k1_lattice2 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6709]) ).

thf(6980,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( v3_struct_0 @ ( k8_filter_0 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( v10_lattices @ ( k8_filter_0 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( l3_lattices @ ( k8_filter_0 @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6710]) ).

thf(6981,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( m1_filter_0 @ ( k7_filter_0 @ A @ B @ C ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6711]) ).

thf(6982,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m1_filter_0 @ ( k1_filter_0 @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6712]) ).

thf(6983,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m1_filter_0 @ ( sK55_B @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6713]) ).

thf(6984,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_filter_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6714]) ).

thf(6985,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v3_filter_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v11_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6715]) ).

thf(6986,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v3_filter_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v14_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6716]) ).

thf(6987,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ( ( k3_filter_0 @ A @ B )
                = B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6717]) ).

thf(6988,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k1_filter_0 @ A )
            = ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6718]) ).

thf(6989,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m1_filter_0 @ ( u1_struct_0 @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6719]) ).

thf(6990,plain,
    ( ( ( l3_vectsp_1 @ sK56_A )
      & ( v3_vectsp_1 @ sK56_A )
      & ~ ( v3_realset2 @ sK56_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6720]) ).

thf(6991,plain,
    ( ( ( l1_struct_0 @ sK57_A )
      & ( v3_realset2 @ sK57_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6721]) ).

thf(6992,plain,
    ( ( ( l1_rlvect_1 @ sK58_A )
      & ~ ( v3_struct_0 @ sK58_A )
      & ( v13_vectsp_1 @ sK58_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6722]) ).

thf(6993,plain,
    ( ( ( l3_vectsp_1 @ sK59_A )
      & ~ ( v3_struct_0 @ sK59_A )
      & ( v3_vectsp_1 @ sK59_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6724]) ).

thf(6994,plain,
    ( ( ( l2_vectsp_1 @ sK60_A )
      & ~ ( v3_struct_0 @ sK60_A )
      & ( v2_vectsp_1 @ sK60_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6725]) ).

thf(6995,plain,
    ( ( ( l1_vectsp_1 @ sK61_A )
      & ~ ( v3_struct_0 @ sK61_A )
      & ( v1_vectsp_1 @ sK61_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6726]) ).

thf(6996,plain,
    ( ( ( l1_group_1 @ sK62_A )
      & ~ ( v3_struct_0 @ sK62_A )
      & ( v1_group_1 @ sK62_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6728]) ).

thf(6997,plain,
    ( ( ( l1_rlvect_1 @ sK63_A )
      & ~ ( v3_struct_0 @ sK63_A )
      & ( v1_rlvect_1 @ sK63_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6729]) ).

thf(6998,plain,
    ( ( ( l2_rlvect_1 @ sK64_A )
      & ~ ( v3_struct_0 @ sK64_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6730]) ).

thf(6999,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v3_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6731]) ).

thf(7000,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v3_pre_topc @ ( k1_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6732]) ).

thf(7001,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( ( k1_tops_1 @ A @ ( k1_pre_topc @ A ) )
            = ( k1_pre_topc @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6733]) ).

thf(7002,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( ( k1_tops_1 @ A @ ( k2_pre_topc @ A ) )
            = ( k2_pre_topc @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6734]) ).

thf(7003,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( ( k6_pre_topc @ A @ ( k2_pre_topc @ A ) )
            = ( k2_pre_topc @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6735]) ).

thf(7004,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v4_pre_topc @ ( k1_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6736]) ).

thf(7005,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( v1_tops_1 @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6737]) ).

thf(7006,plain,
    ( ( l1_pre_topc @ sK65_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6738]) ).

thf(7007,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6739]) ).

thf(7008,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( m1_pre_topc @ ( sK66_B @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6740]) ).

thf(7009,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ! [B: $i] :
              ( ~ ( m1_pre_topc @ B @ A )
              | ( l1_pre_topc @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6741]) ).

thf(7010,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6742]) ).

thf(7011,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6743]) ).

thf(7012,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( ( m1_pre_topc @ ( sK67_B @ A ) @ A )
            & ( v1_pre_topc @ ( sK67_B @ A ) )
            & ( v2_pre_topc @ ( sK67_B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6744]) ).

thf(7013,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ! [B: $i] :
              ( ~ ( m1_pre_topc @ B @ A )
              | ( v2_pre_topc @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6745]) ).

thf(7014,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_pre_topc @ A )
          | ( ( m1_pre_topc @ ( sK68_B @ A ) @ A )
            & ~ ( v3_struct_0 @ ( sK68_B @ A ) )
            & ( v1_pre_topc @ ( sK68_B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6746]) ).

thf(7015,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( ( m1_pre_topc @ ( sK69_B @ A ) @ A )
            & ( v1_pre_topc @ ( sK69_B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6747]) ).

thf(7016,plain,
    ( ( ( l1_pre_topc @ sK70_A )
      & ~ ( v3_struct_0 @ sK70_A )
      & ( v1_pre_topc @ sK70_A )
      & ( v2_pre_topc @ sK70_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6748]) ).

thf(7017,plain,
    ( ( ( l1_pre_topc @ sK71_A )
      & ( v1_pre_topc @ sK71_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6749]) ).

thf(7018,plain,
    ( ( l3_lattices @ sK72_A )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6750]) ).

thf(7019,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( l1_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( l2_lattices @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6751]) ).

thf(7020,plain,
    ( ( ( l3_lattices @ sK73_A )
      & ~ ( v3_struct_0 @ sK73_A )
      & ( v3_lattices @ sK73_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6752]) ).

thf(7021,plain,
    ( ( ( l1_lattices @ sK74_A )
      & ~ ( v3_struct_0 @ sK74_A )
      & ( v1_lattices @ sK74_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6753]) ).

thf(7022,plain,
    ( ( ( l2_lattices @ sK75_A )
      & ~ ( v3_struct_0 @ sK75_A )
      & ( v2_lattices @ sK75_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6754]) ).

thf(7023,plain,
    ( ( ( l3_lattices @ sK76_A )
      & ( v3_lattices @ sK76_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6755]) ).

thf(7024,plain,
    ( ( ( l2_struct_0 @ sK77_A )
      & ~ ( v3_struct_0 @ sK77_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6756]) ).

thf(7025,plain,
    ( ( ( l1_struct_0 @ sK78_A )
      & ~ ( v3_struct_0 @ sK78_A ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6757]) ).

thf(7026,plain,
    ( ( ( l1_struct_0 @ sK78_A )
      & ~ ( v3_struct_0 @ sK78_A ) )
    = $true ),
    inference(copy,[status(thm)],[7025]) ).

thf(7027,plain,
    ( ( ( l2_struct_0 @ sK77_A )
      & ~ ( v3_struct_0 @ sK77_A ) )
    = $true ),
    inference(copy,[status(thm)],[7024]) ).

thf(7028,plain,
    ( ( ( l3_lattices @ sK76_A )
      & ( v3_lattices @ sK76_A ) )
    = $true ),
    inference(copy,[status(thm)],[7023]) ).

thf(7029,plain,
    ( ( ( l2_lattices @ sK75_A )
      & ~ ( v3_struct_0 @ sK75_A )
      & ( v2_lattices @ sK75_A ) )
    = $true ),
    inference(copy,[status(thm)],[7022]) ).

thf(7030,plain,
    ( ( ( l1_lattices @ sK74_A )
      & ~ ( v3_struct_0 @ sK74_A )
      & ( v1_lattices @ sK74_A ) )
    = $true ),
    inference(copy,[status(thm)],[7021]) ).

thf(7031,plain,
    ( ( ( l3_lattices @ sK73_A )
      & ~ ( v3_struct_0 @ sK73_A )
      & ( v3_lattices @ sK73_A ) )
    = $true ),
    inference(copy,[status(thm)],[7020]) ).

thf(7032,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( l1_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( l2_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[7019]) ).

thf(7033,plain,
    ( ( l3_lattices @ sK72_A )
    = $true ),
    inference(copy,[status(thm)],[7018]) ).

thf(7034,plain,
    ( ( ( l1_pre_topc @ sK71_A )
      & ( v1_pre_topc @ sK71_A ) )
    = $true ),
    inference(copy,[status(thm)],[7017]) ).

thf(7035,plain,
    ( ( ( l1_pre_topc @ sK70_A )
      & ~ ( v3_struct_0 @ sK70_A )
      & ( v1_pre_topc @ sK70_A )
      & ( v2_pre_topc @ sK70_A ) )
    = $true ),
    inference(copy,[status(thm)],[7016]) ).

thf(7036,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( ( m1_pre_topc @ ( sK69_B @ A ) @ A )
            & ( v1_pre_topc @ ( sK69_B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7015]) ).

thf(7037,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_pre_topc @ A )
          | ( ( m1_pre_topc @ ( sK68_B @ A ) @ A )
            & ~ ( v3_struct_0 @ ( sK68_B @ A ) )
            & ( v1_pre_topc @ ( sK68_B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7014]) ).

thf(7038,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ! [B: $i] :
              ( ~ ( m1_pre_topc @ B @ A )
              | ( v2_pre_topc @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7013]) ).

thf(7039,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( ( m1_pre_topc @ ( sK67_B @ A ) @ A )
            & ( v1_pre_topc @ ( sK67_B @ A ) )
            & ( v2_pre_topc @ ( sK67_B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7012]) ).

thf(7040,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[7011]) ).

thf(7041,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[7010]) ).

thf(7042,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ! [B: $i] :
              ( ~ ( m1_pre_topc @ B @ A )
              | ( l1_pre_topc @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7009]) ).

thf(7043,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( m1_pre_topc @ ( sK66_B @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[7008]) ).

thf(7044,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[7007]) ).

thf(7045,plain,
    ( ( l1_pre_topc @ sK65_A )
    = $true ),
    inference(copy,[status(thm)],[7006]) ).

thf(7046,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( v1_tops_1 @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[7005]) ).

thf(7047,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v4_pre_topc @ ( k1_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[7004]) ).

thf(7048,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( ( k6_pre_topc @ A @ ( k2_pre_topc @ A ) )
            = ( k2_pre_topc @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7003]) ).

thf(7049,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( ( k1_tops_1 @ A @ ( k2_pre_topc @ A ) )
            = ( k2_pre_topc @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7002]) ).

thf(7050,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ( ( k1_tops_1 @ A @ ( k1_pre_topc @ A ) )
            = ( k1_pre_topc @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7001]) ).

thf(7051,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v3_pre_topc @ ( k1_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[7000]) ).

thf(7052,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v3_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6999]) ).

thf(7053,plain,
    ( ( ( l2_rlvect_1 @ sK64_A )
      & ~ ( v3_struct_0 @ sK64_A ) )
    = $true ),
    inference(copy,[status(thm)],[6998]) ).

thf(7054,plain,
    ( ( ( l1_rlvect_1 @ sK63_A )
      & ~ ( v3_struct_0 @ sK63_A )
      & ( v1_rlvect_1 @ sK63_A ) )
    = $true ),
    inference(copy,[status(thm)],[6997]) ).

thf(7055,plain,
    ( ( ( l1_group_1 @ sK62_A )
      & ~ ( v3_struct_0 @ sK62_A )
      & ( v1_group_1 @ sK62_A ) )
    = $true ),
    inference(copy,[status(thm)],[6996]) ).

thf(7056,plain,
    ( ( ~ ( v3_struct_0 @ k1_vectsp_1 )
      & ( v1_rlvect_1 @ k1_vectsp_1 ) )
    = $true ),
    inference(copy,[status(thm)],[6727]) ).

thf(7057,plain,
    ( ( ( l1_vectsp_1 @ sK61_A )
      & ~ ( v3_struct_0 @ sK61_A )
      & ( v1_vectsp_1 @ sK61_A ) )
    = $true ),
    inference(copy,[status(thm)],[6995]) ).

thf(7058,plain,
    ( ( ( l2_vectsp_1 @ sK60_A )
      & ~ ( v3_struct_0 @ sK60_A )
      & ( v2_vectsp_1 @ sK60_A ) )
    = $true ),
    inference(copy,[status(thm)],[6994]) ).

thf(7059,plain,
    ( ( ( l3_vectsp_1 @ sK59_A )
      & ~ ( v3_struct_0 @ sK59_A )
      & ( v3_vectsp_1 @ sK59_A ) )
    = $true ),
    inference(copy,[status(thm)],[6993]) ).

thf(7060,plain,
    ( ( ~ ( v3_struct_0 @ k3_vectsp_1 )
      & ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $true ),
    inference(copy,[status(thm)],[6723]) ).

thf(7061,plain,
    ( ( ( l1_rlvect_1 @ sK58_A )
      & ~ ( v3_struct_0 @ sK58_A )
      & ( v13_vectsp_1 @ sK58_A ) )
    = $true ),
    inference(copy,[status(thm)],[6992]) ).

thf(7062,plain,
    ( ( ( l1_struct_0 @ sK57_A )
      & ( v3_realset2 @ sK57_A ) )
    = $true ),
    inference(copy,[status(thm)],[6991]) ).

thf(7063,plain,
    ( ( ( l3_vectsp_1 @ sK56_A )
      & ( v3_vectsp_1 @ sK56_A )
      & ~ ( v3_realset2 @ sK56_A ) )
    = $true ),
    inference(copy,[status(thm)],[6990]) ).

thf(7064,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m1_filter_0 @ ( u1_struct_0 @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6989]) ).

thf(7065,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k1_filter_0 @ A )
            = ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6988]) ).

thf(7066,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ( ( k3_filter_0 @ A @ B )
                = B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6987]) ).

thf(7067,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v3_filter_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v14_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6986]) ).

thf(7068,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v3_filter_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v11_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6985]) ).

thf(7069,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_filter_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6984]) ).

thf(7070,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m1_filter_0 @ ( sK55_B @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6983]) ).

thf(7071,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m1_filter_0 @ ( k1_filter_0 @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6982]) ).

thf(7072,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( m1_filter_0 @ ( k7_filter_0 @ A @ B @ C ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6981]) ).

thf(7073,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( v3_struct_0 @ ( k8_filter_0 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( v10_lattices @ ( k8_filter_0 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( l3_lattices @ ( k8_filter_0 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6980]) ).

thf(7074,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_lattices @ ( k1_lattice2 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6979]) ).

thf(7075,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v3_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k1_lattice2 @ ( k1_lattice2 @ A ) )
            = A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6978]) ).

thf(7076,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v10_lattices @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v11_lattices @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( l3_lattices @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ A ) )
          | ( v10_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ A ) )
          | ( v11_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ A ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ A ) )
          | ( l3_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6977]) ).

thf(7077,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v6_group_1 @ A )
          | ( v6_group_1 @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v6_group_1 @ ( k1_lattice2 @ A ) )
          | ( v6_group_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6976]) ).

thf(7078,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( l3_lattices @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_lattices @ ( k1_lattice2 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6975]) ).

thf(7079,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l3_lattices @ B )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l3_lattices @ B )
          | ( v3_lattices @ ( k8_filter_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6974]) ).

thf(7080,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ~ ( v3_struct_0 @ ( k5_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ( v10_lattices @ ( k5_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ( v17_lattices @ ( k5_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ( l3_lattices @ ( k5_filter_1 @ A @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6973]) ).

thf(7081,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( r1_filter_1 @ A @ B )
                | ( r4_wellord1 @ ( k9_filter_1 @ A ) @ ( k9_filter_1 @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( r4_wellord1 @ ( k9_filter_1 @ A ) @ ( k9_filter_1 @ B ) )
                | ( r1_filter_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6972]) ).

thf(7082,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ( v3_struct_0 @ B )
              | ~ ( v10_lattices @ B )
              | ~ ( l3_lattices @ B )
              | ! [C: $i] :
                  ( ( v3_struct_0 @ C )
                  | ~ ( v10_lattices @ C )
                  | ~ ( l3_lattices @ C )
                  | ~ ( r1_filter_1 @ A @ B )
                  | ~ ( r1_filter_1 @ B @ C )
                  | ( r1_filter_1 @ A @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6971]) ).

thf(7083,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6970]) ).

thf(7084,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v12_lattices @ A )
                | ~ ( v12_lattices @ B )
                | ( v12_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v12_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v12_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v12_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v12_lattices @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6969]) ).

thf(7085,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v11_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v11_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v11_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v11_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v10_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v11_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v11_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v11_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v11_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v11_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v11_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v11_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6968]) ).

thf(7086,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v13_lattices @ A )
                | ~ ( v13_lattices @ B )
                | ( v13_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v13_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v13_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v13_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v13_lattices @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6967]) ).

thf(7087,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v14_lattices @ A )
                | ~ ( v14_lattices @ B )
                | ( v14_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v14_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v14_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v14_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v14_lattices @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6966]) ).

thf(7088,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v15_lattices @ A )
                | ~ ( v15_lattices @ B )
                | ( v15_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v15_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v15_lattices @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6965]) ).

thf(7089,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v17_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v17_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v17_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v17_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v10_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v17_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v17_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v17_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v17_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v17_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v17_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v17_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6964]) ).

thf(7090,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_filter_0 @ A )
                | ~ ( v3_filter_0 @ B )
                | ( v3_filter_0 @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_filter_0 @ ( k8_filter_1 @ A @ B ) )
                | ( v3_filter_0 @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_filter_0 @ ( k8_filter_1 @ A @ B ) )
                | ( v3_filter_0 @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6963]) ).

thf(7091,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ( v3_struct_0 @ B )
              | ~ ( v10_lattices @ B )
              | ~ ( l3_lattices @ B )
              | ( ( k1_lattice2 @ ( k8_filter_1 @ A @ B ) )
                = ( k8_filter_1 @ ( k1_lattice2 @ A ) @ ( k1_lattice2 @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6962]) ).

thf(7092,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ( v3_struct_0 @ B )
              | ~ ( v10_lattices @ B )
              | ~ ( l3_lattices @ B )
              | ( r1_filter_1 @ ( k8_filter_1 @ A @ B ) @ ( k8_filter_1 @ B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6961]) ).

thf(7093,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( v10_lattices @ B )
          | ~ ( l3_lattices @ B )
          | ~ ( r1_filter_1 @ A @ B )
          | ( r1_filter_1 @ B @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6960]) ).

thf(7094,plain,
    ( ( ! [A: $i] :
          ( ! [B: $i] :
              ( ( v3_struct_0 @ A )
              | ~ ( v10_lattices @ A )
              | ~ ( l3_lattices @ A )
              | ( v3_struct_0 @ B )
              | ~ ( v10_lattices @ B )
              | ~ ( l3_lattices @ B ) )
          | ( r1_filter_1 @ A @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6959]) ).

thf(7095,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( m1_filter_0 @ ( k1_filter_1 @ A @ B @ C ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6958]) ).

thf(7096,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( ( k1_filter_1 @ A @ B @ C )
            = ( k1_filter_1 @ A @ C @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6957]) ).

thf(7097,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ! [C: $i] :
              ~ ( m1_filter_0 @ C @ A )
          | ( ( k1_filter_1 @ A @ B @ B )
            = B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6956]) ).

thf(7098,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l3_lattices @ B )
          | ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l3_lattices @ B )
          | ( v3_lattices @ ( k8_filter_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6955]) ).

thf(7099,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v1_relat_1 @ ( k9_filter_1 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6954]) ).

thf(7100,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k9_filter_1 @ A )
            = ( a_1_0_filter_1 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6953]) ).

thf(7101,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( v3_struct_0 @ B )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( v3_struct_0 @ B )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ( v1_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( v3_struct_0 @ B )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ( v2_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6952]) ).

thf(7102,plain,
    ( ( ~ ( v3_struct_0 @ k22_borsuk_1 )
      & ( v1_pre_topc @ k22_borsuk_1 )
      & ( v2_pre_topc @ k22_borsuk_1 ) )
    = $true ),
    inference(copy,[status(thm)],[6681]) ).

thf(7103,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( m1_borsuk_1 @ ( k15_borsuk_1 @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6951]) ).

thf(7104,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( m1_borsuk_1 @ ( sK54_B @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6950]) ).

thf(7105,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ( v1_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ( v2_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( v2_pre_topc @ B )
          | ~ ( l1_pre_topc @ B )
          | ( l1_pre_topc @ ( k6_borsuk_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6949]) ).

thf(7106,plain,
    ( ( l1_pre_topc @ k22_borsuk_1 )
    = $true ),
    inference(copy,[status(thm)],[6677]) ).

thf(7107,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ( m2_lattice4 @ ( sK53_B @ A ) @ A )
            & ~ ( v1_xboole_0 @ ( sK53_B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6948]) ).

thf(7108,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v2_filter_0 @ ( k1_filter_0 @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6947]) ).

thf(7109,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ! [C: $i] :
                    ( ~ ( m1_lattice4 @ C @ A @ B )
                    | ~ ( v3_lattice4 @ C @ A @ B ) )
                | ( r1_filter_1 @ A @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( r1_filter_1 @ A @ B )
                | ( ( m1_lattice4 @ ( sK52_C @ B @ A ) @ A @ B )
                  & ( v3_lattice4 @ ( sK52_C @ B @ A ) @ A @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6946]) ).

thf(7110,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m2_lattice4 @ ( u1_struct_0 @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6945]) ).

thf(7111,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ( m2_lattice4 @ B @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6944]) ).

thf(7112,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m3_lattice4 @ ( u1_struct_0 @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6943]) ).

thf(7113,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m3_lattice4 @ B @ A )
              | ( m2_lattice4 @ B @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6942]) ).

thf(7114,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ B )
          | ~ ( v10_lattices @ B )
          | ~ ( l3_lattices @ B )
          | ( m1_lattice4 @ ( sK51_C @ B @ A ) @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6941]) ).

thf(7115,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m2_lattice4 @ ( sK50_B @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6940]) ).

thf(7116,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( m3_lattice4 @ ( sK49_B @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6939]) ).

thf(7117,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ~ ( v3_struct_0 @ ( k6_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( v10_lattices @ ( k6_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( l3_lattices @ ( k6_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6938]) ).

thf(7118,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k9_lopclset @ A )
            = ( k8_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6937]) ).

thf(7119,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v1_pre_topc @ ( k11_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v2_pre_topc @ ( k11_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( l1_pre_topc @ ( k11_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6936]) ).

thf(7120,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v3_struct_0 @ ( k12_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v10_lattices @ ( k12_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( l3_lattices @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6935]) ).

thf(7121,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k13_lopclset @ A )
            = ( k8_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6934]) ).

thf(7122,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_pre_topc @ A )
          | ( ( k1_lopclset @ A )
            = ( a_1_0_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6933]) ).

thf(7123,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ~ ( v1_xboole_0 @ ( k1_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6932]) ).

thf(7124,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( ( u1_struct_0 @ ( k6_lopclset @ A ) )
            = ( k1_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6931]) ).

thf(7125,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( v17_lattices @ ( k6_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6930]) ).

thf(7126,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k7_lopclset @ A )
            = ( a_1_1_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6929]) ).

thf(7127,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v1_xboole_0 @ ( k7_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6928]) ).

thf(7128,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v1_xboole_0 @ ( k10_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6927]) ).

thf(7129,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v3_struct_0 @ ( k11_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v1_pre_topc @ ( k11_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v2_pre_topc @ ( k11_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6926]) ).

thf(7130,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k12_lopclset @ A )
            = ( k6_lopclset @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6925]) ).

thf(7131,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v2_funct_1 @ ( k9_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6924]) ).

thf(7132,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( r1_filter_1 @ A @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6923]) ).

thf(7133,plain,
    ( ( v1_xboole_0 @ k1_xboole_0 )
    = $true ),
    inference(copy,[status(thm)],[6650]) ).

thf(7134,plain,
    ( ( v1_xboole_0 @ sK48_A )
    = $true ),
    inference(copy,[status(thm)],[6922]) ).

thf(7135,plain,
    ( ( ~ ( v1_xboole_0 @ sK47_A ) )
    = $true ),
    inference(copy,[status(thm)],[6921]) ).

thf(7136,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ! [B: $i] :
              ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6920]) ).

thf(7137,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ! [B: $i] :
              ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6919]) ).

thf(7138,plain,
    ( ( ! [A: $i] :
          ( ( A != k1_xboole_0 )
          | ( v1_xboole_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( A = k1_xboole_0 ) ) )
    = $true ),
    inference(copy,[status(thm)],[6918]) ).

thf(7139,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( A = k1_xboole_0 ) ) )
    = $true ),
    inference(copy,[status(thm)],[6917]) ).

thf(7140,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( r2_hidden @ A @ B )
          | ~ ( v1_xboole_0 @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6916]) ).

thf(7141,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A = B )
          | ~ ( v1_xboole_0 @ A )
          | ~ ( v1_xboole_0 @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6915]) ).

thf(7142,plain,
    ( ( ! [A: $i,B: $i] :
          ~ ( v1_xboole_0 @ ( k4_tarski @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6641]) ).

thf(7143,plain,
    ( ( ! [A: $i] :
          ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6640]) ).

thf(7144,plain,
    ( ( ! [A: $i] :
          ~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6639]) ).

thf(7145,plain,
    ( ( ! [A: $i,B: $i] :
          ~ ( v1_xboole_0 @ ( k2_tarski @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6638]) ).

thf(7146,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ B )
          | ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6914]) ).

thf(7147,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ B )
          | ( v1_xboole_0 @ C )
          | ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6913]) ).

thf(7148,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ B )
          | ( v1_xboole_0 @ C )
          | ( v1_xboole_0 @ D )
          | ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ A @ B @ C @ D ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6912]) ).

thf(7149,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ B )
          | ~ ( r1_subset_1 @ A @ B )
          | ( r1_subset_1 @ B @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6911]) ).

thf(7150,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ! [B: $i] : ( v1_xboole_0 @ B )
          | ~ ( r1_subset_1 @ A @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6910]) ).

thf(7151,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ B )
          | ~ ( r2_subset_1 @ A @ B )
          | ( r2_subset_1 @ B @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6909]) ).

thf(7152,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ! [B: $i] : ( v1_xboole_0 @ B )
          | ~ ( r2_subset_1 @ A @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6908]) ).

thf(7153,plain,
    ( ( ~ ( v1_xboole_0 @ sK46_A )
      & ( v1_setfam_1 @ sK46_A ) )
    = $true ),
    inference(copy,[status(thm)],[6907]) ).

thf(7154,plain,
    ( ( ! [A: $i] :
          ( ( v2_setfam_1 @ A )
          | ~ ( v1_xboole_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6906]) ).

thf(7155,plain,
    ( ( ( v1_relat_1 @ sK45_A )
      & ( v1_xboole_0 @ sK45_A ) )
    = $true ),
    inference(copy,[status(thm)],[6905]) ).

thf(7156,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k3_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6904]) ).

thf(7157,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k2_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6903]) ).

thf(7158,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k4_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6902]) ).

thf(7159,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6901]) ).

thf(7160,plain,
    ( ( ( v1_relat_1 @ k1_xboole_0 )
      & ( v1_xboole_0 @ k1_xboole_0 ) )
    = $true ),
    inference(copy,[status(thm)],[6900]) ).

thf(7161,plain,
    ( ( ~ ( v1_xboole_0 @ sK44_A )
      & ( v1_relat_1 @ sK44_A ) )
    = $true ),
    inference(copy,[status(thm)],[6899]) ).

thf(7162,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ~ ( v1_relat_1 @ A )
          | ~ ( v1_xboole_0 @ ( k1_relat_1 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6898]) ).

thf(7163,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ~ ( v1_relat_1 @ A )
          | ~ ( v1_xboole_0 @ ( k2_relat_1 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6897]) ).

thf(7164,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ ( k1_relat_1 @ A ) ) )
      & ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ ( k1_relat_1 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6896]) ).

thf(7165,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ ( k2_relat_1 @ A ) ) )
      & ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ ( k2_relat_1 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6895]) ).

thf(7166,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ~ ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ ( k5_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6894]) ).

thf(7167,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ ( k5_relat_1 @ B @ A ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ~ ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ ( k5_relat_1 @ B @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6893]) ).

thf(7168,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_relat_1 @ ( k4_relat_1 @ A ) ) )
      & ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_xboole_0 @ ( k4_relat_1 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6892]) ).

thf(7169,plain,
    ( ( ( v1_relat_1 @ sK43_A )
      & ( v3_relat_1 @ sK43_A ) )
    = $true ),
    inference(copy,[status(thm)],[6891]) ).

thf(7170,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ~ ( r1_tarski @ A @ B )
          | ( v1_relat_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6890]) ).

thf(7171,plain,
    ( ( ! [A: $i,B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6612]) ).

thf(7172,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k3_xboole_0 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6889]) ).

thf(7173,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k4_xboole_0 @ B @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6888]) ).

thf(7174,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ! [B: $i] :
              ( ~ ( v1_relat_1 @ B )
              | ! [C: $i] :
                  ( ~ ( v1_relat_1 @ C )
                  | ( ( k5_relat_1 @ ( k5_relat_1 @ A @ B ) @ C )
                    = ( k5_relat_1 @ A @ ( k5_relat_1 @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6887]) ).

thf(7175,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ( ( k7_relat_1 @ ( k7_relat_1 @ B @ A ) @ A )
            = ( k7_relat_1 @ B @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6886]) ).

thf(7176,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ( ( k8_relat_1 @ A @ ( k8_relat_1 @ A @ B ) )
            = ( k8_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6885]) ).

thf(7177,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ( v1_relat_1 @ ( k4_relat_1 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6884]) ).

thf(7178,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ( ( k4_relat_1 @ ( k4_relat_1 @ A ) )
            = A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6883]) ).

thf(7179,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6882]) ).

thf(7180,plain,
    ( ( ! [A: $i] : ( v1_relat_1 @ ( k6_relat_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6603]) ).

thf(7181,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ! [B: $i] : ( v1_relat_1 @ ( k7_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6881]) ).

thf(7182,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ B )
          | ( v1_relat_1 @ ( k8_relat_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6880]) ).

thf(7183,plain,
    ( ( ( v1_funct_1 @ sK42_A )
      & ( v1_relat_1 @ sK42_A ) )
    = $true ),
    inference(copy,[status(thm)],[6879]) ).

thf(7184,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_funct_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6878]) ).

thf(7185,plain,
    ( ( ( v1_relat_1 @ sK41_A )
      & ( v1_xboole_0 @ sK41_A )
      & ( v1_funct_1 @ sK41_A ) )
    = $true ),
    inference(copy,[status(thm)],[6877]) ).

thf(7186,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_xboole_0 @ A )
          | ~ ( v1_funct_1 @ A )
          | ( v1_funct_1 @ A ) )
      & ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_xboole_0 @ A )
          | ~ ( v1_funct_1 @ A )
          | ( v1_relat_1 @ A ) )
      & ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_xboole_0 @ A )
          | ~ ( v1_funct_1 @ A )
          | ( v2_funct_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6876]) ).

thf(7187,plain,
    ( ( ( v1_funct_1 @ sK40_A )
      & ( v1_relat_1 @ sK40_A )
      & ( v2_funct_1 @ sK40_A ) )
    = $true ),
    inference(copy,[status(thm)],[6875]) ).

thf(7188,plain,
    ( ( ! [A: $i] : ( v2_funct_1 @ ( k6_relat_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6595]) ).

thf(7189,plain,
    ( ( ! [A: $i] :
          ~ ( v1_xboole_0 @ ( k1_ordinal1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6594]) ).

thf(7190,plain,
    ( ( ( v1_funct_1 @ sK39_A )
      & ( v1_relat_1 @ sK39_A )
      & ( v2_funct_1 @ sK39_A )
      & ( v1_xboole_0 @ sK39_A ) )
    = $true ),
    inference(copy,[status(thm)],[6874]) ).

thf(7191,plain,
    ( ( ! [A: $i,B: $i] :
          ~ ( v1_xboole_0 @ ( k4_partfun1 @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6592]) ).

thf(7192,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ B )
          | ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6873]) ).

thf(7193,plain,
    ( ( ! [A: $i] :
          ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6590]) ).

thf(7194,plain,
    ( ( ~ ( v1_xboole_0 @ sK38_A )
      & ( v1_finset_1 @ sK38_A ) )
    = $true ),
    inference(copy,[status(thm)],[6872]) ).

thf(7195,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_xboole_0 @ A )
          | ( v1_finset_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6871]) ).

thf(7196,plain,
    ( ( ~ ( v1_xboole_0 @ sK37_A )
      & ( v1_fraenkel @ sK37_A ) )
    = $true ),
    inference(copy,[status(thm)],[6870]) ).

thf(7197,plain,
    ( ( ~ ( v1_xboole_0 @ k1_numbers ) )
    = $true ),
    inference(copy,[status(thm)],[6586]) ).

thf(7198,plain,
    ( ( ~ ( v1_xboole_0 @ k2_numbers ) )
    = $true ),
    inference(copy,[status(thm)],[6585]) ).

thf(7199,plain,
    ( ( ~ ( v1_xboole_0 @ k3_numbers ) )
    = $true ),
    inference(copy,[status(thm)],[6584]) ).

thf(7200,plain,
    ( ( ~ ( v1_xboole_0 @ k4_numbers ) )
    = $true ),
    inference(copy,[status(thm)],[6583]) ).

thf(7201,plain,
    ( ( ! [A: $i] :
          ~ ( v1_xboole_0 @ ( k13_finseq_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6582]) ).

thf(7202,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ( v1_relat_1 @ ( k17_finseq_1 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6869]) ).

thf(7203,plain,
    ( ( ! [A: $i] :
          ( ( v1_xboole_0 @ A )
          | ! [B: $i] :
              ( ~ ( m1_eqrel_1 @ B @ A )
              | ~ ( v1_xboole_0 @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6868]) ).

thf(7204,plain,
    ( ( ~ ( v1_xboole_0 @ k1_qc_lang1 ) )
    = $true ),
    inference(copy,[status(thm)],[6579]) ).

thf(7205,plain,
    ( ( ~ ( v1_xboole_0 @ k2_qc_lang1 ) )
    = $true ),
    inference(copy,[status(thm)],[6578]) ).

thf(7206,plain,
    ( ( ~ ( v1_xboole_0 @ k3_qc_lang1 ) )
    = $true ),
    inference(copy,[status(thm)],[6577]) ).

thf(7207,plain,
    ( ( ~ ( v1_xboole_0 @ k4_qc_lang1 ) )
    = $true ),
    inference(copy,[status(thm)],[6576]) ).

thf(7208,plain,
    ( ( ~ ( v1_xboole_0 @ k5_qc_lang1 ) )
    = $true ),
    inference(copy,[status(thm)],[6575]) ).

thf(7209,plain,
    ( ( ~ ( v1_xboole_0 @ k8_qc_lang1 ) )
    = $true ),
    inference(copy,[status(thm)],[6574]) ).

thf(7210,plain,
    ( ( ~ ( v1_xboole_0 @ k7_cqc_lang ) )
    = $true ),
    inference(copy,[status(thm)],[6573]) ).

thf(7211,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ! [B: $i] : ( v1_relat_1 @ ( k1_realset1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6867]) ).

thf(7212,plain,
    ( ( ~ ( v1_xboole_0 @ sK36_A )
      & ( v1_realset1 @ sK36_A ) )
    = $true ),
    inference(copy,[status(thm)],[6866]) ).

thf(7213,plain,
    ( ( ~ ( v1_xboole_0 @ sK35_A )
      & ~ ( v1_realset1 @ sK35_A ) )
    = $true ),
    inference(copy,[status(thm)],[6865]) ).

thf(7214,plain,
    ( ( ! [A: $i] :
          ( ( v1_realset1 @ A )
          | ~ ( v1_xboole_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6864]) ).

thf(7215,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ~ ( v1_relat_1 @ B )
          | ~ ( r1_rfinseq @ A @ B )
          | ( r1_rfinseq @ B @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6863]) ).

thf(7216,plain,
    ( ( ! [A: $i] :
          ( ~ ( v1_relat_1 @ A )
          | ! [B: $i] :
              ~ ( v1_relat_1 @ B )
          | ( r1_rfinseq @ A @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6862]) ).

thf(7217,plain,
    ( ( ( l1_struct_0 @ sK34_A )
      & ( v1_struct_0 @ sK34_A ) )
    = $true ),
    inference(copy,[status(thm)],[6861]) ).

thf(7218,plain,
    ( ( ( l2_struct_0 @ sK33_A )
      & ( v2_struct_0 @ sK33_A ) )
    = $true ),
    inference(copy,[status(thm)],[6860]) ).

thf(7219,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6859]) ).

thf(7220,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) )
          | ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v3_struct_0 @ A )
          | ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6858]) ).

thf(7221,plain,
    ( ( l1_struct_0 @ sK32_A )
    = $true ),
    inference(copy,[status(thm)],[6857]) ).

thf(7222,plain,
    ( ( ! [A: $i] :
          ( ~ ( l2_struct_0 @ A )
          | ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6856]) ).

thf(7223,plain,
    ( ( l2_struct_0 @ sK31_A )
    = $true ),
    inference(copy,[status(thm)],[6855]) ).

thf(7224,plain,
    ( ( ( l1_lattices @ sK30_A )
      & ( v1_lattices @ sK30_A ) )
    = $true ),
    inference(copy,[status(thm)],[6854]) ).

thf(7225,plain,
    ( ( ( l2_lattices @ sK29_A )
      & ( v2_lattices @ sK29_A ) )
    = $true ),
    inference(copy,[status(thm)],[6853]) ).

thf(7226,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v13_lattices @ A )
          | ~ ( v14_lattices @ A )
          | ~ ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v13_lattices @ A )
          | ~ ( v14_lattices @ A )
          | ( v15_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6852]) ).

thf(7227,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v15_lattices @ A )
          | ~ ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v15_lattices @ A )
          | ( v13_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v15_lattices @ A )
          | ( v14_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6851]) ).

thf(7228,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ( v11_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ( v13_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ( v14_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ( v15_lattices @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v17_lattices @ A )
          | ( v16_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6850]) ).

thf(7229,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( v15_lattices @ A )
          | ~ ( v16_lattices @ A )
          | ~ ( v3_struct_0 @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_lattices @ A )
          | ( v3_struct_0 @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( v15_lattices @ A )
          | ~ ( v16_lattices @ A )
          | ( v17_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6849]) ).

thf(7230,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v13_lattices @ A )
          | ~ ( v14_lattices @ A )
          | ( v15_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v15_lattices @ A )
          | ( v13_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v15_lattices @ A )
          | ( v14_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6848]) ).

thf(7231,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v15_lattices @ A )
          | ~ ( v16_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ( v17_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v15_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v16_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v11_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6847]) ).

thf(7232,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_lattices @ A )
          | ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6846]) ).

thf(7233,plain,
    ( ( l1_lattices @ sK28_A )
    = $true ),
    inference(copy,[status(thm)],[6845]) ).

thf(7234,plain,
    ( ( ! [A: $i] :
          ( ~ ( l2_lattices @ A )
          | ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6844]) ).

thf(7235,plain,
    ( ( l2_lattices @ sK27_A )
    = $true ),
    inference(copy,[status(thm)],[6843]) ).

thf(7236,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ~ ( v1_xboole_0 @ ( k2_pre_topc @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6842]) ).

thf(7237,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( k1_pre_topc @ A )
            = k1_xboole_0 ) ) )
    = $true ),
    inference(copy,[status(thm)],[6841]) ).

thf(7238,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( k2_pre_topc @ A )
            = ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6840]) ).

thf(7239,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( k2_pre_topc @ A )
            = ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6839]) ).

thf(7240,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( k2_pre_topc @ A )
            = ( k3_subset_1 @ ( u1_struct_0 @ A ) @ ( k1_pre_topc @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6838]) ).

thf(7241,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v3_pre_topc @ ( k2_pre_topc @ A ) @ A ) )
      & ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( v4_pre_topc @ ( k2_pre_topc @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6837]) ).

thf(7242,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( k3_subset_1 @ ( u1_struct_0 @ A ) @ ( k2_pre_topc @ A ) )
            = ( k1_pre_topc @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6836]) ).

thf(7243,plain,
    ( ( ( l1_rlvect_1 @ sK26_A )
      & ( v1_rlvect_1 @ sK26_A ) )
    = $true ),
    inference(copy,[status(thm)],[6835]) ).

thf(7244,plain,
    ( ( ( l2_rlvect_1 @ sK25_A )
      & ( v2_rlvect_1 @ sK25_A ) )
    = $true ),
    inference(copy,[status(thm)],[6834]) ).

thf(7245,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_rlvect_1 @ A )
          | ( l2_struct_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6833]) ).

thf(7246,plain,
    ( ( l1_rlvect_1 @ sK24_A )
    = $true ),
    inference(copy,[status(thm)],[6832]) ).

thf(7247,plain,
    ( ( ! [A: $i] :
          ( ~ ( l2_rlvect_1 @ A )
          | ( l1_rlvect_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6831]) ).

thf(7248,plain,
    ( ( l2_rlvect_1 @ sK23_A )
    = $true ),
    inference(copy,[status(thm)],[6830]) ).

thf(7249,plain,
    ( ( ( l1_group_1 @ sK22_A )
      & ( v1_group_1 @ sK22_A ) )
    = $true ),
    inference(copy,[status(thm)],[6829]) ).

thf(7250,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v1_finset_1 @ ( u1_struct_0 @ A ) )
          | ( v6_group_1 @ A ) )
      & ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v6_group_1 @ A )
          | ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6828]) ).

thf(7251,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_group_1 @ A )
          | ( l1_struct_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6827]) ).

thf(7252,plain,
    ( ( l1_group_1 @ sK21_A )
    = $true ),
    inference(copy,[status(thm)],[6826]) ).

thf(7253,plain,
    ( ( ( l1_vectsp_1 @ sK20_A )
      & ( v1_vectsp_1 @ sK20_A ) )
    = $true ),
    inference(copy,[status(thm)],[6825]) ).

thf(7254,plain,
    ( ( ( l2_vectsp_1 @ sK19_A )
      & ( v2_vectsp_1 @ sK19_A ) )
    = $true ),
    inference(copy,[status(thm)],[6824]) ).

thf(7255,plain,
    ( ( ( l3_vectsp_1 @ sK18_A )
      & ( v3_vectsp_1 @ sK18_A ) )
    = $true ),
    inference(copy,[status(thm)],[6823]) ).

thf(7256,plain,
    ( ( ~ ( v3_struct_0 @ k3_vectsp_1 )
      & ( v2_group_1 @ k3_vectsp_1 )
      & ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $true ),
    inference(copy,[status(thm)],[6527]) ).

thf(7257,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_vectsp_1 @ A )
          | ( l1_group_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6822]) ).

thf(7258,plain,
    ( ( l1_vectsp_1 @ sK17_A )
    = $true ),
    inference(copy,[status(thm)],[6821]) ).

thf(7259,plain,
    ( ( ! [A: $i] :
          ( ~ ( l2_vectsp_1 @ A )
          | ( l1_vectsp_1 @ A ) )
      & ! [A: $i] :
          ( ~ ( l2_vectsp_1 @ A )
          | ( l2_struct_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6820]) ).

thf(7260,plain,
    ( ( l2_vectsp_1 @ sK16_A )
    = $true ),
    inference(copy,[status(thm)],[6819]) ).

thf(7261,plain,
    ( ( ! [A: $i] :
          ( ~ ( l3_vectsp_1 @ A )
          | ( l1_rlvect_1 @ A ) )
      & ! [A: $i] :
          ( ~ ( l3_vectsp_1 @ A )
          | ( l2_vectsp_1 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6818]) ).

thf(7262,plain,
    ( ( l3_vectsp_1 @ sK15_A )
    = $true ),
    inference(copy,[status(thm)],[6817]) ).

thf(7263,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ! [B: $i] :
              ( ~ ( l4_vectsp_1 @ B @ A )
              | ( l1_rlvect_1 @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6816]) ).

thf(7264,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( l4_vectsp_1 @ ( sK14_B @ A ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6815]) ).

thf(7265,plain,
    ( ( ( l1_rlvect_1 @ k1_vectsp_1 )
      & ( v1_rlvect_1 @ k1_vectsp_1 ) )
    = $true ),
    inference(copy,[status(thm)],[6814]) ).

thf(7266,plain,
    ( ( ( l3_vectsp_1 @ k3_vectsp_1 )
      & ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $true ),
    inference(copy,[status(thm)],[6813]) ).

thf(7267,plain,
    ( ( ( l3_vectsp_1 @ sK13_A )
      & ( v3_vectsp_1 @ sK13_A )
      & ( v4_realset2 @ sK13_A ) )
    = $true ),
    inference(copy,[status(thm)],[6812]) ).

thf(7268,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v1_realset1 @ ( u1_struct_0 @ A ) )
          | ( v3_realset2 @ A ) )
      & ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v3_realset2 @ A )
          | ( v1_realset1 @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6811]) ).

thf(7269,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( ( m1_subset_1 @ ( sK11_B @ A ) @ ( u1_struct_0 @ A ) )
            & ( m1_subset_1 @ ( sK12_SY394 @ A ) @ ( u1_struct_0 @ A ) )
            & ( ( sK11_B @ A )
             != ( sK12_SY394 @ A ) ) )
          | ( v3_realset2 @ A ) )
      & ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( v3_realset2 @ A )
          | ! [B: $i] :
              ( ~ ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
              | ! [C: $i] :
                  ( ~ ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
                  | ( B = C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6810]) ).

thf(7270,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ! [C: $i] :
                  ( ~ ( m1_filter_0 @ C @ A )
                  | ( ( k3_filter_0 @ A @ ( k4_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) )
                    = ( k7_filter_0 @ A @ B @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6809]) ).

thf(7271,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ( B
                  = ( k1_filter_0 @ A ) )
                | ~ ( v2_filter_0 @ B @ A )
                | ( v1_filter_0 @ B @ A ) )
            & ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ~ ( v1_filter_0 @ B @ A )
                | ( B
                 != ( k1_filter_0 @ A ) ) )
            & ! [B: $i] :
                ( ~ ( m1_filter_0 @ B @ A )
                | ~ ( v1_filter_0 @ B @ A )
                | ( v2_filter_0 @ B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6808]) ).

thf(7272,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v3_lattices @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k8_filter_0 @ A @ ( k1_filter_0 @ A ) )
            = A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6807]) ).

thf(7273,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ~ ( v14_lattices @ A )
              | ( v14_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6806]) ).

thf(7274,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ~ ( v12_lattices @ A )
              | ( v12_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6805]) ).

thf(7275,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ~ ( v11_lattices @ A )
              | ( v11_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6804]) ).

thf(7276,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ( v3_struct_0 @ A )
              | ~ ( v10_lattices @ A )
              | ~ ( v3_filter_0 @ A )
              | ~ ( l3_lattices @ A )
              | ( v3_filter_0 @ ( k8_filter_0 @ A @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6803]) ).

thf(7277,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v11_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( m1_filter_0 @ ( k6_filter_0 @ A @ B @ C ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6802]) ).

thf(7278,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( ( k7_filter_0 @ A @ B @ C )
            = ( k5_filter_0 @ A @ B @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6801]) ).

thf(7279,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( v1_relat_1 @ ( k10_filter_0 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6800]) ).

thf(7280,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v13_lattices @ A )
          | ( v14_lattices @ ( k1_lattice2 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v14_lattices @ ( k1_lattice2 @ A ) )
          | ( v13_lattices @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6799]) ).

thf(7281,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v13_lattices @ ( k1_lattice2 @ A ) )
          | ( v14_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v14_lattices @ A )
          | ( v13_lattices @ ( k1_lattice2 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6798]) ).

thf(7282,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v13_lattices @ A )
          | ~ ( v3_filter_0 @ A )
          | ( v1_lattice2 @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v1_lattice2 @ A )
          | ( v13_lattices @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( v1_lattice2 @ A )
          | ( v3_filter_0 @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[6797]) ).

thf(7283,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ! [C: $i] :
                  ( ~ ( m1_filter_0 @ C @ A )
                  | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6796]) ).

thf(7284,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v3_filter_0 @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ~ ( m1_filter_0 @ B @ A )
              | ( v3_filter_0 @ ( k5_filter_1 @ A @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6795]) ).

thf(7285,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ( ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v15_lattices @ A )
                | ~ ( v16_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v15_lattices @ B )
                | ~ ( v16_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v15_lattices @ A )
                | ~ ( v16_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v15_lattices @ B )
                | ~ ( v16_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v10_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v15_lattices @ A )
                | ~ ( v16_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v15_lattices @ B )
                | ~ ( v16_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v15_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v15_lattices @ A )
                | ~ ( v16_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v15_lattices @ B )
                | ~ ( v16_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v16_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ A )
                | ~ ( v10_lattices @ A )
                | ~ ( v15_lattices @ A )
                | ~ ( v16_lattices @ A )
                | ~ ( l3_lattices @ A )
                | ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( v15_lattices @ B )
                | ~ ( v16_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( l3_lattices @ ( k8_filter_1 @ A @ B ) ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v15_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v16_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ A ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v3_struct_0 @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v10_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v15_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( v16_lattices @ B ) )
            & ! [B: $i] :
                ( ( v3_struct_0 @ B )
                | ~ ( v10_lattices @ B )
                | ~ ( l3_lattices @ B )
                | ( v3_struct_0 @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ A @ B ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ A @ B ) )
                | ( l3_lattices @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6794]) ).

thf(7286,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( m1_filter_1 @ ( sK10_C @ B @ A ) @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6793]) ).

thf(7287,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v1_xboole_0 @ A )
          | ~ ( v1_relat_1 @ B )
          | ( m2_filter_1 @ ( sK9_C @ B @ A ) @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6792]) ).

thf(7288,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( m1_filter_0 @ C @ A )
          | ( ( k1_filter_1 @ A @ B @ C )
            = ( k3_xboole_0 @ B @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6791]) ).

thf(7289,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ~ ( v3_struct_0 @ ( k5_filter_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( v3_lattices @ ( k5_filter_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( v10_lattices @ ( k5_filter_1 @ A @ B ) ) )
      & ! [A: $i,B: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ~ ( m1_filter_0 @ B @ A )
          | ( l3_lattices @ ( k5_filter_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6790]) ).

thf(7290,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ( v1_setfam_1 @ ( k15_borsuk_1 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6789]) ).

thf(7291,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ~ ( v2_pre_topc @ A )
          | ( ( m1_pre_topc @ ( sK8_B @ A ) @ A )
            & ( v1_pre_topc @ ( sK8_B @ A ) )
            & ( v2_pre_topc @ ( sK8_B @ A ) )
            & ( v1_borsuk_1 @ ( sK8_B @ A ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6788]) ).

thf(7292,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( ( m1_pre_topc @ ( sK7_B @ A ) @ A )
            & ~ ( v3_struct_0 @ ( sK7_B @ A ) )
            & ( v1_pre_topc @ ( sK7_B @ A ) )
            & ( v2_pre_topc @ ( sK7_B @ A ) )
            & ( v1_borsuk_1 @ ( sK7_B @ A ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6787]) ).

thf(7293,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_pre_topc @ A )
          | ! [B: $i] :
              ( ~ ( m1_pre_topc @ B @ A )
              | ( r1_tarski @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6786]) ).

thf(7294,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( ! [B: $i] :
                ( ~ ( m1_borsuk_1 @ B @ A )
                | ~ ( v1_xboole_0 @ B ) )
            & ! [B: $i] :
                ( ~ ( m1_borsuk_1 @ B @ A )
                | ( m1_eqrel_1 @ B @ ( u1_struct_0 @ A ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6785]) ).

thf(7295,plain,
    ( ( ! [A: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( m1_eqrel_1 @ ( k15_borsuk_1 @ A ) @ ( u1_struct_0 @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6784]) ).

thf(7296,plain,
    ( ( ~ ( v1_xboole_0 @ sK6_A )
      & ( v4_grcat_1 @ sK6_A ) )
    = $true ),
    inference(copy,[status(thm)],[6783]) ).

thf(7297,plain,
    ( ( ~ ( v1_xboole_0 @ sK5_A )
      & ( v5_grcat_1 @ sK5_A ) )
    = $true ),
    inference(copy,[status(thm)],[6782]) ).

thf(7298,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l1_struct_0 @ B )
          | ~ ( v1_xboole_0 @ ( k17_grcat_1 @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6781]) ).

thf(7299,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ( v3_struct_0 @ B )
          | ~ ( l1_struct_0 @ B )
          | ( ( m5_grcat_1 @ ( sK4_C @ B @ A ) @ A @ B )
            & ~ ( v1_xboole_0 @ ( sK4_C @ B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6780]) ).

thf(7300,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( l1_struct_0 @ A )
          | ~ ( l1_struct_0 @ B )
          | ( m5_grcat_1 @ ( sK3_C @ B @ A ) @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[6779]) ).

thf(7301,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ! [B: $i] :
              ( ( u1_struct_0 @ A )
             != ( k1_tarski @ B ) )
          | ( v3_realset2 @ A ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( l1_struct_0 @ A )
          | ~ ( v3_realset2 @ A )
          | ( ( u1_struct_0 @ A )
            = ( k1_tarski @ ( sK2_B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6778]) ).

thf(7302,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( l3_lattices @ A )
          | ! [B: $i] :
              ( ( v3_struct_0 @ B )
              | ~ ( v10_lattices @ B )
              | ~ ( v11_lattices @ B )
              | ~ ( l3_lattices @ B )
              | ! [C: $i] :
                  ( ~ ( m1_lattice4 @ C @ B @ A )
                  | ~ ( v2_lattice4 @ C @ B @ A )
                  | ( v11_lattices @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6777]) ).

thf(7303,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v1_funct_1 @ ( k8_lopclset @ A ) ) )
      & ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v1_relat_1 @ ( k8_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6776]) ).

thf(7304,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( m1_lattice4 @ ( k13_lopclset @ A ) @ A @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6775]) ).

thf(7305,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( m1_subset_1 @ ( k2_pre_topc @ A ) @ ( u1_struct_0 @ ( k6_lopclset @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6774]) ).

thf(7306,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v2_pre_topc @ A )
          | ~ ( l1_pre_topc @ A )
          | ( m1_subset_1 @ ( k1_pre_topc @ A ) @ ( u1_struct_0 @ ( k6_lopclset @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6773]) ).

thf(7307,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k10_lopclset @ A )
            = ( k2_relat_1 @ ( k9_lopclset @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6772]) ).

thf(7308,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k3_tarski @ ( k10_lopclset @ A ) )
            = ( k7_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6771]) ).

thf(7309,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( r1_tarski @ ( k10_lopclset @ A ) @ ( k1_lopclset @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6770]) ).

thf(7310,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k10_lopclset @ A )
            = ( k1_lopclset @ ( k11_lopclset @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6769]) ).

thf(7311,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( ( k2_relat_1 @ ( k13_lopclset @ A ) )
            = ( u1_struct_0 @ ( k12_lopclset @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6768]) ).

thf(7312,plain,
    ( ( ! [A: $i] :
          ( ( v3_struct_0 @ A )
          | ~ ( v10_lattices @ A )
          | ~ ( v17_lattices @ A )
          | ( v3_realset2 @ A )
          | ~ ( l3_lattices @ A )
          | ( v3_lattice4 @ ( k13_lopclset @ A ) @ A @ ( k12_lopclset @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6767]) ).

thf(7313,plain,
    ( ( l3_lattices @ sK1_A )
    = $true ),
    inference(copy,[status(thm)],[6763]) ).

thf(7314,plain,
    ( ( ~ ( v3_realset2 @ sK1_A ) )
    = $true ),
    inference(copy,[status(thm)],[6762]) ).

thf(7315,plain,
    ( ( v17_lattices @ sK1_A )
    = $true ),
    inference(copy,[status(thm)],[6761]) ).

thf(7316,plain,
    ( ( v10_lattices @ sK1_A )
    = $true ),
    inference(copy,[status(thm)],[6760]) ).

thf(7317,plain,
    ( ( ~ ( v3_struct_0 @ sK1_A ) )
    = $true ),
    inference(copy,[status(thm)],[6759]) ).

thf(7318,plain,
    ( ( ! [SY393: $i] :
          ( ( v3_struct_0 @ SY393 )
          | ~ ( v2_pre_topc @ SY393 )
          | ~ ( l1_pre_topc @ SY393 )
          | ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SY393 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6766]) ).

thf(7319,plain,
    ( ( ~ ( ~ ~ ( v1_xboole_0 @ sK44_A )
          | ~ ( v1_relat_1 @ sK44_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7161]) ).

thf(7320,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ! [SX1: $i] :
                    ( ( v3_struct_0 @ SX1 )
                    | ~ ( v10_lattices @ SX1 )
                    | ~ ( l3_lattices @ SX1 )
                    | ~ ( v12_lattices @ SX0 )
                    | ~ ( v12_lattices @ SX1 )
                    | ( v12_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
              | ~ ~ ( ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v12_lattices @ SX0 ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v12_lattices @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7084]) ).

thf(7321,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ! [SX1: $i] :
                    ( ( v3_struct_0 @ SX1 )
                    | ~ ( v10_lattices @ SX1 )
                    | ~ ( l3_lattices @ SX1 )
                    | ~ ( r1_filter_1 @ SX0 @ SX1 )
                    | ( r4_wellord1 @ ( k9_filter_1 @ SX0 ) @ ( k9_filter_1 @ SX1 ) ) )
              | ~ ! [SX1: $i] :
                    ( ( v3_struct_0 @ SX1 )
                    | ~ ( v10_lattices @ SX1 )
                    | ~ ( l3_lattices @ SX1 )
                    | ~ ( r4_wellord1 @ ( k9_filter_1 @ SX0 ) @ ( k9_filter_1 @ SX1 ) )
                    | ( r1_filter_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7081]) ).

thf(7322,plain,
    ( ( ~ ( ~ ~ ( v1_xboole_0 @ sK35_A )
          | ~ ~ ( v1_realset1 @ sK35_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7213]) ).

thf(7323,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( l1_pre_topc @ SX0 )
          | ~ ( ~ ! [SX1: $i] :
                    ( ~ ( m1_borsuk_1 @ SX1 @ SX0 )
                    | ~ ( v1_xboole_0 @ SX1 ) )
              | ~ ! [SX1: $i] :
                    ( ~ ( m1_borsuk_1 @ SX1 @ SX0 )
                    | ( m1_eqrel_1 @ SX1 @ ( u1_struct_0 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7294]) ).

thf(7324,plain,
    ( ( ~ ( ~ ( l1_pre_topc @ sK71_A )
          | ~ ( v1_pre_topc @ sK71_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7034]) ).

thf(7325,plain,
    ( ( ~ ( ~ ~ ( ~ ( v1_relat_1 @ sK41_A )
                | ~ ( v1_xboole_0 @ sK41_A ) )
          | ~ ( v1_funct_1 @ sK41_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7185]) ).

thf(7326,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v3_realset2 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v3_realset2 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( l3_lattices @ ( k12_lopclset @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7120]) ).

thf(7327,plain,
    ( ( ~ ( ~ ( v1_funct_1 @ sK42_A )
          | ~ ( v1_relat_1 @ sK42_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7183]) ).

thf(7328,plain,
    ( ( ~ ( ~ ( v1_relat_1 @ sK45_A )
          | ~ ( v1_xboole_0 @ sK45_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7155]) ).

thf(7329,plain,
    ( ( ~ ( ~ ( l1_struct_0 @ sK34_A )
          | ~ ( v1_struct_0 @ sK34_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7217]) ).

thf(7330,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l3_vectsp_1 @ SX0 )
                | ( l1_rlvect_1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_vectsp_1 @ SX0 )
                | ( l2_vectsp_1 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7261]) ).

thf(7331,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v2_pre_topc @ SX0 )
                      | ~ ( l1_pre_topc @ SX0 )
                      | ( v3_struct_0 @ SX1 )
                      | ~ ( v2_pre_topc @ SX1 )
                      | ~ ( l1_pre_topc @ SX1 )
                      | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v2_pre_topc @ SX0 )
                      | ~ ( l1_pre_topc @ SX0 )
                      | ( v3_struct_0 @ SX1 )
                      | ~ ( v2_pre_topc @ SX1 )
                      | ~ ( l1_pre_topc @ SX1 )
                      | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ~ ( l1_pre_topc @ SX0 )
                | ( v3_struct_0 @ SX1 )
                | ~ ( v2_pre_topc @ SX1 )
                | ~ ( l1_pre_topc @ SX1 )
                | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7101]) ).

thf(7332,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_pre_topc @ SX0 )
          | ~ ( ~ ( m1_pre_topc @ ( sK69_B @ SX0 ) @ SX0 )
              | ~ ( v1_pre_topc @ ( sK69_B @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7036]) ).

thf(7333,plain,
    ( ( ~ ( ~ ~ ( ~ ( l1_rlvect_1 @ sK58_A )
                | ~ ~ ( v3_struct_0 @ sK58_A ) )
          | ~ ( v13_vectsp_1 @ sK58_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7061]) ).

thf(7334,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( l1_pre_topc @ sK70_A )
                      | ~ ~ ( v3_struct_0 @ sK70_A ) )
                | ~ ( v1_pre_topc @ sK70_A ) )
          | ~ ( v2_pre_topc @ sK70_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7035]) ).

thf(7335,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( v1_relat_1 @ SX1 )
                | ~ ( v1_xboole_0 @ SX0 )
                | ( v1_relat_1 @ ( k5_relat_1 @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( v1_relat_1 @ SX1 )
                | ~ ( v1_xboole_0 @ SX0 )
                | ( v1_xboole_0 @ ( k5_relat_1 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7167]) ).

thf(7336,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_pre_topc @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK67_B @ SX0 ) @ SX0 )
                    | ~ ( v1_pre_topc @ ( sK67_B @ SX0 ) ) )
              | ~ ( v2_pre_topc @ ( sK67_B @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7039]) ).

thf(7337,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( SX0 != k1_xboole_0 )
                | ( v1_xboole_0 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( v1_xboole_0 @ SX0 )
                | ( SX0 = k1_xboole_0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7138]) ).

thf(7338,plain,
    ( ( ~ ( ~ ~ ( ~ ( l1_vectsp_1 @ sK61_A )
                | ~ ~ ( v3_struct_0 @ sK61_A ) )
          | ~ ( v1_vectsp_1 @ sK61_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7057]) ).

thf(7339,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l1_struct_0 @ SX0 )
                | ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l1_struct_0 @ SX0 )
                | ( v1_setfam_1 @ ( k15_borsuk_1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7290]) ).

thf(7340,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ! [SX1: $i] :
                    ( ( v3_struct_0 @ SX1 )
                    | ~ ( v10_lattices @ SX1 )
                    | ~ ( l3_lattices @ SX1 )
                    | ! [SX2: $i] :
                        ( ~ ( m1_lattice4 @ SX2 @ SX0 @ SX1 )
                        | ~ ( v3_lattice4 @ SX2 @ SX0 @ SX1 ) )
                    | ( r1_filter_1 @ SX0 @ SX1 ) )
              | ~ ! [SX1: $i] :
                    ( ( v3_struct_0 @ SX1 )
                    | ~ ( v10_lattices @ SX1 )
                    | ~ ( l3_lattices @ SX1 )
                    | ~ ( r1_filter_1 @ SX0 @ SX1 )
                    | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SX1 @ SX0 ) @ SX0 @ SX1 )
                        | ~ ( v3_lattice4 @ ( sK52_C @ SX1 @ SX0 ) @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7109]) ).

thf(7341,plain,
    ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK40_A )
                | ~ ( v1_relat_1 @ sK40_A ) )
          | ~ ( v2_funct_1 @ sK40_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7187]) ).

thf(7342,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v15_lattices @ SX0 )
                      | ~ ( v3_struct_0 @ SX0 ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v15_lattices @ SX0 )
                      | ( v13_lattices @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v15_lattices @ SX0 )
                | ( v14_lattices @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7227]) ).

thf(7343,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
                                      ( ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v3_struct_0 @ SX0 )
                                      | ~ ( v10_lattices @ SX0 )
                                      | ~ ( v17_lattices @ SX0 )
                                      | ~ ( l3_lattices @ SX0 )
                                      | ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( v17_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
                                | ~ ! [SX1: $i] :
                                      ( ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v3_struct_0 @ SX0 )
                                      | ~ ( v10_lattices @ SX0 )
                                      | ~ ( v17_lattices @ SX0 )
                                      | ~ ( l3_lattices @ SX0 )
                                      | ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( v17_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
                          | ~ ! [SX1: $i] :
                                ( ( v3_struct_0 @ SX1 )
                                | ~ ( v10_lattices @ SX1 )
                                | ~ ( l3_lattices @ SX1 )
                                | ( v3_struct_0 @ SX0 )
                                | ~ ( v10_lattices @ SX0 )
                                | ~ ( v17_lattices @ SX0 )
                                | ~ ( l3_lattices @ SX0 )
                                | ( v3_struct_0 @ SX1 )
                                | ~ ( v10_lattices @ SX1 )
                                | ~ ( v17_lattices @ SX1 )
                                | ~ ( l3_lattices @ SX1 )
                                | ( v17_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ( v3_struct_0 @ SX0 )
                          | ~ ( v10_lattices @ SX0 )
                          | ~ ( v17_lattices @ SX0 )
                          | ~ ( l3_lattices @ SX0 )
                          | ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( v17_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
                                                              ( ( v3_struct_0 @ SX1 )
                                                              | ~ ( v10_lattices @ SX1 )
                                                              | ~ ( l3_lattices @ SX1 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v3_struct_0 @ SX0 ) )
                                                        | ~ ! [SX1: $i] :
                                                              ( ( v3_struct_0 @ SX1 )
                                                              | ~ ( v10_lattices @ SX1 )
                                                              | ~ ( l3_lattices @ SX1 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ( v10_lattices @ SX0 ) ) )
                                                  | ~ ! [SX1: $i] :
                                                        ( ( v3_struct_0 @ SX1 )
                                                        | ~ ( v10_lattices @ SX1 )
                                                        | ~ ( l3_lattices @ SX1 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ( v17_lattices @ SX0 ) ) )
                                            | ~ ! [SX1: $i] :
                                                  ( ( v3_struct_0 @ SX1 )
                                                  | ~ ( v10_lattices @ SX1 )
                                                  | ~ ( l3_lattices @ SX1 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ( l3_lattices @ SX0 ) ) )
                                      | ~ ! [SX1: $i] :
                                            ( ( v3_struct_0 @ SX1 )
                                            | ~ ( v10_lattices @ SX1 )
                                            | ~ ( l3_lattices @ SX1 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v3_struct_0 @ SX1 ) ) )
                                | ~ ! [SX1: $i] :
                                      ( ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ( v10_lattices @ SX1 ) ) )
                          | ~ ! [SX1: $i] :
                                ( ( v3_struct_0 @ SX1 )
                                | ~ ( v10_lattices @ SX1 )
                                | ~ ( l3_lattices @ SX1 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ( v17_lattices @ SX1 ) ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( l3_lattices @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7089]) ).

thf(7344,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ! [SX1: $i] :
                    ( ( v3_struct_0 @ SX1 )
                    | ~ ( v10_lattices @ SX1 )
                    | ~ ( l3_lattices @ SX1 )
                    | ~ ( v3_filter_0 @ SX0 )
                    | ~ ( v3_filter_0 @ SX1 )
                    | ( v3_filter_0 @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
              | ~ ~ ( ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v3_filter_0 @ SX0 ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v3_filter_0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7090]) ).

thf(7345,plain,
    ( ( ~ ( ~ ( l3_vectsp_1 @ sK18_A )
          | ~ ( v3_vectsp_1 @ sK18_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7255]) ).

thf(7346,plain,
    ( ( ~ ( ~ ( l2_rlvect_1 @ sK64_A )
          | ~ ~ ( v3_struct_0 @ sK64_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7053]) ).

thf(7347,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( v1_xboole_0 @ SX0 )
                | ( v1_relat_1 @ ( k1_relat_1 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( v1_xboole_0 @ SX0 )
                | ( v1_xboole_0 @ ( k1_relat_1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7164]) ).

thf(7348,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( l1_struct_0 @ SX0 )
          | ( v3_struct_0 @ SX1 )
          | ~ ( l1_struct_0 @ SX1 )
          | ~ ( ~ ( m5_grcat_1 @ ( sK4_C @ SX1 @ SX0 ) @ SX0 @ SX1 )
              | ~ ~ ( v1_xboole_0 @ ( sK4_C @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7299]) ).

thf(7349,plain,
    ( ( ~ ( ~ ~ ( ~ ( l3_lattices @ sK73_A )
                | ~ ~ ( v3_struct_0 @ sK73_A ) )
          | ~ ( v3_lattices @ sK73_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7031]) ).

thf(7350,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX1 )
                | ~ ( l3_lattices @ SX1 )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX1 )
                | ~ ( l3_lattices @ SX1 )
                | ( v3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7079]) ).

thf(7351,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
                                            ( ( v3_struct_0 @ SX1 )
                                            | ~ ( l3_lattices @ SX1 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v3_struct_0 @ SX0 ) )
                                      | ~ ! [SX1: $i] :
                                            ( ( v3_struct_0 @ SX1 )
                                            | ~ ( l3_lattices @ SX1 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ( v10_lattices @ SX0 ) ) )
                                | ~ ! [SX1: $i] :
                                      ( ( v3_struct_0 @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ( l3_lattices @ SX0 ) ) )
                          | ~ ! [SX1: $i] :
                                ( ( v3_struct_0 @ SX1 )
                                | ~ ( l3_lattices @ SX1 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( v3_struct_0 @ SX1 ) ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v10_lattices @ SX1 ) ) )
              | ~ ! [SX1: $i] :
                    ( ( v3_struct_0 @ SX1 )
                    | ~ ( l3_lattices @ SX1 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                    | ( l3_lattices @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7083]) ).

thf(7352,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l1_struct_0 @ SX0 )
                | ~ ( v1_realset1 @ ( u1_struct_0 @ SX0 ) )
                | ( v3_realset2 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l1_struct_0 @ SX0 )
                | ~ ( v3_realset2 @ SX0 )
                | ( v1_realset1 @ ( u1_struct_0 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7268]) ).

thf(7353,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX1 )
                | ~ ( l3_lattices @ SX1 )
                | ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX1 )
                | ~ ( l3_lattices @ SX1 )
                | ( v3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7098]) ).

thf(7354,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l1_struct_0 @ SX0 )
                | ~ ( v1_finset_1 @ ( u1_struct_0 @ SX0 ) )
                | ( v6_group_1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l1_struct_0 @ SX0 )
                | ~ ( v6_group_1 @ SX0 )
                | ( v1_finset_1 @ ( u1_struct_0 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7250]) ).

thf(7355,plain,
    ( ( ~ ( ~ ( l1_struct_0 @ sK78_A )
          | ~ ~ ( v3_struct_0 @ sK78_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7026]) ).

thf(7356,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ! [SX1: $i] :
                    ( ~ ( m1_filter_0 @ SX1 @ SX0 )
                    | ( SX1
                      = ( k1_filter_0 @ SX0 ) )
                    | ~ ( v2_filter_0 @ SX1 @ SX0 )
                    | ( v1_filter_0 @ SX1 @ SX0 ) )
              | ~ ~ ( ~ ! [SX1: $i] :
                          ( ~ ( m1_filter_0 @ SX1 @ SX0 )
                          | ~ ( v1_filter_0 @ SX1 @ SX0 )
                          | ( SX1
                           != ( k1_filter_0 @ SX0 ) ) )
                    | ~ ! [SX1: $i] :
                          ( ~ ( m1_filter_0 @ SX1 @ SX0 )
                          | ~ ( v1_filter_0 @ SX1 @ SX0 )
                          | ( v2_filter_0 @ SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7271]) ).

thf(7357,plain,
    ( ( ~ ( ~ ~ ( ~ ( l3_vectsp_1 @ sK13_A )
                | ~ ( v3_vectsp_1 @ sK13_A ) )
          | ~ ( v4_realset2 @ sK13_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7267]) ).

thf(7358,plain,
    ( ( ~ ( ~ ( l2_struct_0 @ sK77_A )
          | ~ ~ ( v3_struct_0 @ sK77_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7027]) ).

thf(7359,plain,
    ( ( ~ ( ~ ~ ( v1_xboole_0 @ sK37_A )
          | ~ ( v1_fraenkel @ sK37_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7196]) ).

thf(7360,plain,
    ( ( ~ ( ~ ~ ( ~ ( l2_vectsp_1 @ sK60_A )
                | ~ ~ ( v3_struct_0 @ sK60_A ) )
          | ~ ( v2_vectsp_1 @ sK60_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7058]) ).

thf(7361,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( l1_lattices @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( l2_lattices @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7032]) ).

thf(7362,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v13_lattices @ SX0 )
                | ~ ( v14_lattices @ SX0 )
                | ~ ( v3_struct_0 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v13_lattices @ SX0 )
                | ~ ( v14_lattices @ SX0 )
                | ( v15_lattices @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7226]) ).

thf(7363,plain,
    ( ( ~ ( ~ ~ ( v1_xboole_0 @ sK5_A )
          | ~ ( v5_grcat_1 @ sK5_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7297]) ).

thf(7364,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v13_lattices @ ( k1_lattice2 @ SX0 ) )
                | ( v14_lattices @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v14_lattices @ SX0 )
                | ( v13_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7281]) ).

thf(7365,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v13_lattices @ SX0 )
                | ~ ( v14_lattices @ SX0 )
                | ( v15_lattices @ SX0 ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( v15_lattices @ SX0 )
                      | ( v13_lattices @ SX0 ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( v15_lattices @ SX0 )
                      | ( v14_lattices @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7230]) ).

thf(7366,plain,
    ( ( ~ ( ~ ( l3_vectsp_1 @ k3_vectsp_1 )
          | ~ ( v3_vectsp_1 @ k3_vectsp_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7266]) ).

thf(7367,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l1_struct_0 @ SX0 )
                | ~ ( v1_xboole_0 @ ( u1_struct_0 @ SX0 ) )
                | ( v3_struct_0 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l1_struct_0 @ SX0 )
                | ~ ( v3_struct_0 @ SX0 )
                | ( v1_xboole_0 @ ( u1_struct_0 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7220]) ).

thf(7368,plain,
    ( ( ~ ( ~ ~ ( v3_struct_0 @ k3_vectsp_1 )
          | ~ ( v3_vectsp_1 @ k3_vectsp_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7060]) ).

thf(7369,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
                                ( ~ ( m1_filter_0 @ SX1 @ SX0 )
                                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) )
                          | ~ ! [SX1: $i] :
                                ( ~ ( m1_filter_0 @ SX1 @ SX0 )
                                | ( v10_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
                    | ~ ! [SX1: $i] :
                          ( ~ ( m1_filter_0 @ SX1 @ SX0 )
                          | ( v17_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
              | ~ ! [SX1: $i] :
                    ( ~ ( m1_filter_0 @ SX1 @ SX0 )
                    | ( l3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7080]) ).

thf(7370,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( l1_pre_topc @ SX0 )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SX0 ) @ SX0 )
                                | ~ ~ ( v3_struct_0 @ ( sK7_B @ SX0 ) ) )
                          | ~ ( v1_pre_topc @ ( sK7_B @ SX0 ) ) )
                    | ~ ( v2_pre_topc @ ( sK7_B @ SX0 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK7_B @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7292]) ).

thf(7371,plain,
    ( ( ~ ( ~ ( l2_vectsp_1 @ sK19_A )
          | ~ ( v2_vectsp_1 @ sK19_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7254]) ).

thf(7372,plain,
    ( ( ~ ( ~ ~ ( v1_xboole_0 @ sK38_A )
          | ~ ( v1_finset_1 @ sK38_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7194]) ).

thf(7373,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v1_funct_1 @ ( k8_lopclset @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v1_relat_1 @ ( k8_lopclset @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7303]) ).

thf(7374,plain,
    ( ( ~ ( ~ ~ ( ~ ( l3_vectsp_1 @ sK56_A )
                | ~ ( v3_vectsp_1 @ sK56_A ) )
          | ~ ~ ( v3_realset2 @ sK56_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7063]) ).

thf(7375,plain,
    ( ( ~ ( ~ ( l1_rlvect_1 @ k1_vectsp_1 )
          | ~ ( v1_rlvect_1 @ k1_vectsp_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7265]) ).

thf(7376,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( v1_xboole_0 @ SX0 )
                | ( v1_relat_1 @ ( k4_relat_1 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( v1_xboole_0 @ SX0 )
                | ( v1_xboole_0 @ ( k4_relat_1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7168]) ).

thf(7377,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( v1_xboole_0 @ SX0 )
                | ( v1_relat_1 @ ( k2_relat_1 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( v1_xboole_0 @ SX0 )
                | ( v1_xboole_0 @ ( k2_relat_1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7165]) ).

thf(7378,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
                                      ( ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v3_struct_0 @ SX0 )
                                      | ~ ( v10_lattices @ SX0 )
                                      | ~ ( v11_lattices @ SX0 )
                                      | ~ ( l3_lattices @ SX0 )
                                      | ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( v11_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
                                | ~ ! [SX1: $i] :
                                      ( ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v3_struct_0 @ SX0 )
                                      | ~ ( v10_lattices @ SX0 )
                                      | ~ ( v11_lattices @ SX0 )
                                      | ~ ( l3_lattices @ SX0 )
                                      | ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( v11_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
                          | ~ ! [SX1: $i] :
                                ( ( v3_struct_0 @ SX1 )
                                | ~ ( v10_lattices @ SX1 )
                                | ~ ( l3_lattices @ SX1 )
                                | ( v3_struct_0 @ SX0 )
                                | ~ ( v10_lattices @ SX0 )
                                | ~ ( v11_lattices @ SX0 )
                                | ~ ( l3_lattices @ SX0 )
                                | ( v3_struct_0 @ SX1 )
                                | ~ ( v10_lattices @ SX1 )
                                | ~ ( v11_lattices @ SX1 )
                                | ~ ( l3_lattices @ SX1 )
                                | ( v11_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ( v3_struct_0 @ SX0 )
                          | ~ ( v10_lattices @ SX0 )
                          | ~ ( v11_lattices @ SX0 )
                          | ~ ( l3_lattices @ SX0 )
                          | ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( v11_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
                                                              ( ( v3_struct_0 @ SX1 )
                                                              | ~ ( v10_lattices @ SX1 )
                                                              | ~ ( l3_lattices @ SX1 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v3_struct_0 @ SX0 ) )
                                                        | ~ ! [SX1: $i] :
                                                              ( ( v3_struct_0 @ SX1 )
                                                              | ~ ( v10_lattices @ SX1 )
                                                              | ~ ( l3_lattices @ SX1 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ( v10_lattices @ SX0 ) ) )
                                                  | ~ ! [SX1: $i] :
                                                        ( ( v3_struct_0 @ SX1 )
                                                        | ~ ( v10_lattices @ SX1 )
                                                        | ~ ( l3_lattices @ SX1 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ( v11_lattices @ SX0 ) ) )
                                            | ~ ! [SX1: $i] :
                                                  ( ( v3_struct_0 @ SX1 )
                                                  | ~ ( v10_lattices @ SX1 )
                                                  | ~ ( l3_lattices @ SX1 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ( l3_lattices @ SX0 ) ) )
                                      | ~ ! [SX1: $i] :
                                            ( ( v3_struct_0 @ SX1 )
                                            | ~ ( v10_lattices @ SX1 )
                                            | ~ ( l3_lattices @ SX1 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v3_struct_0 @ SX1 ) ) )
                                | ~ ! [SX1: $i] :
                                      ( ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ( v10_lattices @ SX1 ) ) )
                          | ~ ! [SX1: $i] :
                                ( ( v3_struct_0 @ SX1 )
                                | ~ ( v10_lattices @ SX1 )
                                | ~ ( l3_lattices @ SX1 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ( v11_lattices @ SX1 ) ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( l3_lattices @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7085]) ).

thf(7379,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ! [SX1: $i] :
                    ( ( v3_struct_0 @ SX1 )
                    | ~ ( v10_lattices @ SX1 )
                    | ~ ( l3_lattices @ SX1 )
                    | ~ ( v15_lattices @ SX0 )
                    | ~ ( v15_lattices @ SX1 )
                    | ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
              | ~ ~ ( ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v15_lattices @ SX0 ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v15_lattices @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7088]) ).

thf(7380,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7078]) ).

thf(7381,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l1_pre_topc @ SX0 )
          | ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK68_B @ SX0 ) @ SX0 )
                    | ~ ~ ( v3_struct_0 @ ( sK68_B @ SX0 ) ) )
              | ~ ( v1_pre_topc @ ( sK68_B @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7037]) ).

thf(7382,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_pre_topc @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SX0 ) @ SX0 )
                          | ~ ( v1_pre_topc @ ( sK8_B @ SX0 ) ) )
                    | ~ ( v2_pre_topc @ ( sK8_B @ SX0 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK8_B @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7291]) ).

thf(7383,plain,
    ( ( ~ ( ~ ( l1_group_1 @ sK22_A )
          | ~ ( v1_group_1 @ sK22_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7249]) ).

thf(7384,plain,
    ( ( ~ ( ~ ~ ( ~ ( l3_vectsp_1 @ sK59_A )
                | ~ ~ ( v3_struct_0 @ sK59_A ) )
          | ~ ( v3_vectsp_1 @ sK59_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7059]) ).

thf(7385,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v13_lattices @ SX0 )
                | ~ ( v3_filter_0 @ SX0 )
                | ( v1_lattice2 @ SX0 ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( v1_lattice2 @ SX0 )
                      | ( v13_lattices @ SX0 ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( v1_lattice2 @ SX0 )
                      | ( v3_filter_0 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7282]) ).

thf(7386,plain,
    ( ( ~ ( ~ ( v1_relat_1 @ sK43_A )
          | ~ ( v3_relat_1 @ sK43_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7169]) ).

thf(7387,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7074]) ).

thf(7388,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v6_group_1 @ SX0 )
                | ( v6_group_1 @ ( k1_lattice2 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v6_group_1 @ ( k1_lattice2 @ SX0 ) )
                | ( v6_group_1 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7077]) ).

thf(7389,plain,
    ( ( ~ ( ~ ~ ( v3_struct_0 @ k1_vectsp_1 )
          | ~ ( v1_rlvect_1 @ k1_vectsp_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7056]) ).

thf(7390,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ! [SX1: $i] :
                    ( ( v3_struct_0 @ SX1 )
                    | ~ ( v10_lattices @ SX1 )
                    | ~ ( l3_lattices @ SX1 )
                    | ~ ( v14_lattices @ SX0 )
                    | ~ ( v14_lattices @ SX1 )
                    | ( v14_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
              | ~ ~ ( ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v14_lattices @ SX0 ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v14_lattices @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7087]) ).

thf(7391,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ k22_borsuk_1 )
                | ~ ( v1_pre_topc @ k22_borsuk_1 ) )
          | ~ ( v2_pre_topc @ k22_borsuk_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7102]) ).

thf(7392,plain,
    ( ( ~ ( ~ ( l2_rlvect_1 @ sK25_A )
          | ~ ( v2_rlvect_1 @ sK25_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7244]) ).

thf(7393,plain,
    ( ( ~ ( ~ ~ ( v1_xboole_0 @ sK36_A )
          | ~ ( v1_realset1 @ sK36_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7212]) ).

thf(7394,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l2_vectsp_1 @ SX0 )
                | ( l1_vectsp_1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l2_vectsp_1 @ SX0 )
                | ( l2_struct_0 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7259]) ).

thf(7395,plain,
    ( ( ~ ( ~ ~ ( ~ ( l1_lattices @ sK74_A )
                | ~ ~ ( v3_struct_0 @ sK74_A ) )
          | ~ ( v1_lattices @ sK74_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7030]) ).

thf(7396,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                            ( ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ~ ( m1_filter_0 @ SX1 @ SX0 )
                            | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) )
                      | ~ ! [SX0: $i,SX1: $i] :
                            ( ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ~ ( m1_filter_0 @ SX1 @ SX0 )
                            | ( v3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( m1_filter_0 @ SX1 @ SX0 )
                      | ( v10_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( m1_filter_0 @ SX1 @ SX0 )
                | ( l3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7289]) ).

thf(7397,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l1_pre_topc @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ( v3_pre_topc @ ( k2_pre_topc @ SX0 ) @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l1_pre_topc @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ( v4_pre_topc @ ( k2_pre_topc @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7241]) ).

thf(7398,plain,
    ( ( ~ ( ~ ~ ( ~ ( l2_lattices @ sK75_A )
                | ~ ~ ( v3_struct_0 @ sK75_A ) )
          | ~ ( v2_lattices @ sK75_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7029]) ).

thf(7399,plain,
    ( ( ~ ( ~ ~ ( v1_xboole_0 @ sK6_A )
          | ~ ( v4_grcat_1 @ sK6_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7296]) ).

thf(7400,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( l1_pre_topc @ SX0 )
                      | ~ ( v2_pre_topc @ SX0 )
                      | ~ ( v2_pre_topc @ SX1 )
                      | ~ ( l1_pre_topc @ SX1 )
                      | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( l1_pre_topc @ SX0 )
                      | ~ ( v2_pre_topc @ SX0 )
                      | ~ ( v2_pre_topc @ SX1 )
                      | ~ ( l1_pre_topc @ SX1 )
                      | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( l1_pre_topc @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ~ ( v2_pre_topc @ SX1 )
                | ~ ( l1_pre_topc @ SX1 )
                | ( l1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7105]) ).

thf(7401,plain,
    ( ( ~ ( ~ ~ ( ~ ( l1_group_1 @ sK62_A )
                | ~ ~ ( v3_struct_0 @ sK62_A ) )
          | ~ ( v1_group_1 @ sK62_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7055]) ).

thf(7402,plain,
    ( ( ~ ( ~ ( v1_relat_1 @ k1_xboole_0 )
          | ~ ( v1_xboole_0 @ k1_xboole_0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7160]) ).

thf(7403,plain,
    ( ( ~ ( ~ ( l3_lattices @ sK76_A )
          | ~ ( v3_lattices @ sK76_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7028]) ).

thf(7404,plain,
    ( ( ~ ( ~ ( l2_struct_0 @ sK33_A )
          | ~ ( v2_struct_0 @ sK33_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7218]) ).

thf(7405,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v11_lattices @ SX0 )
                | ~ ( v15_lattices @ SX0 )
                | ~ ( v16_lattices @ SX0 )
                | ~ ( v3_struct_0 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v11_lattices @ SX0 )
                | ~ ( v15_lattices @ SX0 )
                | ~ ( v16_lattices @ SX0 )
                | ( v17_lattices @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7229]) ).

thf(7406,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v2_pre_topc @ SX0 )
                      | ~ ( l1_pre_topc @ SX0 )
                      | ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v2_pre_topc @ SX0 )
                      | ~ ( l1_pre_topc @ SX0 )
                      | ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ~ ( l1_pre_topc @ SX0 )
                | ( l3_lattices @ ( k6_lopclset @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7117]) ).

thf(7407,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( v1_relat_1 @ SX0 )
                      | ~ ( v1_xboole_0 @ SX0 )
                      | ~ ( v1_funct_1 @ SX0 )
                      | ( v1_funct_1 @ SX0 ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( v1_relat_1 @ SX0 )
                      | ~ ( v1_xboole_0 @ SX0 )
                      | ~ ( v1_funct_1 @ SX0 )
                      | ( v1_relat_1 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( v1_relat_1 @ SX0 )
                | ~ ( v1_xboole_0 @ SX0 )
                | ~ ( v1_funct_1 @ SX0 )
                | ( v2_funct_1 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7186]) ).

thf(7408,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v3_realset2 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v3_realset2 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7129]) ).

thf(7409,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( v1_relat_1 @ SX1 )
                | ~ ( v1_xboole_0 @ SX0 )
                | ( v1_relat_1 @ ( k5_relat_1 @ SX0 @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( v1_relat_1 @ SX1 )
                | ~ ( v1_xboole_0 @ SX0 )
                | ( v1_xboole_0 @ ( k5_relat_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7166]) ).

thf(7410,plain,
    ( ( ~ ( ~ ( l1_rlvect_1 @ sK26_A )
          | ~ ( v1_rlvect_1 @ sK26_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7243]) ).

thf(7411,plain,
    ( ( ~ ( ~ ( l1_vectsp_1 @ sK20_A )
          | ~ ( v1_vectsp_1 @ sK20_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7253]) ).

thf(7412,plain,
    ( ( ~ ( ~ ( l1_lattices @ sK30_A )
          | ~ ( v1_lattices @ sK30_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7224]) ).

thf(7413,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ! [SX1: $i] :
                    ( ( v3_struct_0 @ SX1 )
                    | ~ ( v10_lattices @ SX1 )
                    | ~ ( l3_lattices @ SX1 )
                    | ~ ( v13_lattices @ SX0 )
                    | ~ ( v13_lattices @ SX1 )
                    | ( v13_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
              | ~ ~ ( ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v13_lattices @ SX0 ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( v13_lattices @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7086]) ).

thf(7414,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v3_realset2 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v3_realset2 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( l1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7119]) ).

thf(7415,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK39_A )
                      | ~ ( v1_relat_1 @ sK39_A ) )
                | ~ ( v2_funct_1 @ sK39_A ) )
          | ~ ( v1_xboole_0 @ sK39_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7190]) ).

thf(7416,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ k3_vectsp_1 )
                | ~ ( v2_group_1 @ k3_vectsp_1 ) )
          | ~ ( v3_vectsp_1 @ k3_vectsp_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7256]) ).

thf(7417,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                        ( ~ ( l3_lattices @ SX0 )
                                        | ( v3_struct_0 @ SX0 )
                                        | ~ ( v17_lattices @ SX0 )
                                        | ~ ( v3_struct_0 @ SX0 ) )
                                  | ~ ! [SX0: $i] :
                                        ( ~ ( l3_lattices @ SX0 )
                                        | ( v3_struct_0 @ SX0 )
                                        | ~ ( v17_lattices @ SX0 )
                                        | ( v11_lattices @ SX0 ) ) )
                            | ~ ! [SX0: $i] :
                                  ( ~ ( l3_lattices @ SX0 )
                                  | ( v3_struct_0 @ SX0 )
                                  | ~ ( v17_lattices @ SX0 )
                                  | ( v13_lattices @ SX0 ) ) )
                      | ~ ! [SX0: $i] :
                            ( ~ ( l3_lattices @ SX0 )
                            | ( v3_struct_0 @ SX0 )
                            | ~ ( v17_lattices @ SX0 )
                            | ( v14_lattices @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v15_lattices @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v16_lattices @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7228]) ).

thf(7418,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v13_lattices @ SX0 )
                | ( v14_lattices @ ( k1_lattice2 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v14_lattices @ ( k1_lattice2 @ SX0 ) )
                | ( v13_lattices @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7280]) ).

thf(7419,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l1_struct_0 @ SX0 )
                | ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SX0 ) @ ( u1_struct_0 @ SX0 ) )
                    | ~ ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SX0 ) @ ( u1_struct_0 @ SX0 ) )
                          | ~ ( ( ( sK11_B @ SX0 )
                               != ( sK12_SY394 @ SX0 ) ) ) ) )
                | ( v3_realset2 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l1_struct_0 @ SX0 )
                | ~ ( v3_realset2 @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
                    | ! [SX2: $i] :
                        ( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
                        | ( SX1 = SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7269]) ).

thf(7420,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
                                            ( ( v3_struct_0 @ SX1 )
                                            | ~ ( v10_lattices @ SX1 )
                                            | ~ ( l3_lattices @ SX1 )
                                            | ( v3_struct_0 @ SX0 )
                                            | ~ ( v10_lattices @ SX0 )
                                            | ~ ( v15_lattices @ SX0 )
                                            | ~ ( v16_lattices @ SX0 )
                                            | ~ ( l3_lattices @ SX0 )
                                            | ( v3_struct_0 @ SX1 )
                                            | ~ ( v10_lattices @ SX1 )
                                            | ~ ( v15_lattices @ SX1 )
                                            | ~ ( v16_lattices @ SX1 )
                                            | ~ ( l3_lattices @ SX1 )
                                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
                                      | ~ ! [SX1: $i] :
                                            ( ( v3_struct_0 @ SX1 )
                                            | ~ ( v10_lattices @ SX1 )
                                            | ~ ( l3_lattices @ SX1 )
                                            | ( v3_struct_0 @ SX0 )
                                            | ~ ( v10_lattices @ SX0 )
                                            | ~ ( v15_lattices @ SX0 )
                                            | ~ ( v16_lattices @ SX0 )
                                            | ~ ( l3_lattices @ SX0 )
                                            | ( v3_struct_0 @ SX1 )
                                            | ~ ( v10_lattices @ SX1 )
                                            | ~ ( v15_lattices @ SX1 )
                                            | ~ ( v16_lattices @ SX1 )
                                            | ~ ( l3_lattices @ SX1 )
                                            | ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
                                | ~ ! [SX1: $i] :
                                      ( ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v3_struct_0 @ SX0 )
                                      | ~ ( v10_lattices @ SX0 )
                                      | ~ ( v15_lattices @ SX0 )
                                      | ~ ( v16_lattices @ SX0 )
                                      | ~ ( l3_lattices @ SX0 )
                                      | ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( v15_lattices @ SX1 )
                                      | ~ ( v16_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
                          | ~ ! [SX1: $i] :
                                ( ( v3_struct_0 @ SX1 )
                                | ~ ( v10_lattices @ SX1 )
                                | ~ ( l3_lattices @ SX1 )
                                | ( v3_struct_0 @ SX0 )
                                | ~ ( v10_lattices @ SX0 )
                                | ~ ( v15_lattices @ SX0 )
                                | ~ ( v16_lattices @ SX0 )
                                | ~ ( l3_lattices @ SX0 )
                                | ( v3_struct_0 @ SX1 )
                                | ~ ( v10_lattices @ SX1 )
                                | ~ ( v15_lattices @ SX1 )
                                | ~ ( v16_lattices @ SX1 )
                                | ~ ( l3_lattices @ SX1 )
                                | ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ( v3_struct_0 @ SX0 )
                          | ~ ( v10_lattices @ SX0 )
                          | ~ ( v15_lattices @ SX0 )
                          | ~ ( v16_lattices @ SX0 )
                          | ~ ( l3_lattices @ SX0 )
                          | ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( v15_lattices @ SX1 )
                          | ~ ( v16_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
                                                                          ( ( v3_struct_0 @ SX1 )
                                                                          | ~ ( v10_lattices @ SX1 )
                                                                          | ~ ( l3_lattices @ SX1 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                          | ~ ( v3_struct_0 @ SX0 ) )
                                                                    | ~ ! [SX1: $i] :
                                                                          ( ( v3_struct_0 @ SX1 )
                                                                          | ~ ( v10_lattices @ SX1 )
                                                                          | ~ ( l3_lattices @ SX1 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                          | ( v10_lattices @ SX0 ) ) )
                                                              | ~ ! [SX1: $i] :
                                                                    ( ( v3_struct_0 @ SX1 )
                                                                    | ~ ( v10_lattices @ SX1 )
                                                                    | ~ ( l3_lattices @ SX1 )
                                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                                    | ( v15_lattices @ SX0 ) ) )
                                                        | ~ ! [SX1: $i] :
                                                              ( ( v3_struct_0 @ SX1 )
                                                              | ~ ( v10_lattices @ SX1 )
                                                              | ~ ( l3_lattices @ SX1 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                              | ( v16_lattices @ SX0 ) ) )
                                                  | ~ ! [SX1: $i] :
                                                        ( ( v3_struct_0 @ SX1 )
                                                        | ~ ( v10_lattices @ SX1 )
                                                        | ~ ( l3_lattices @ SX1 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                        | ( l3_lattices @ SX0 ) ) )
                                            | ~ ! [SX1: $i] :
                                                  ( ( v3_struct_0 @ SX1 )
                                                  | ~ ( v10_lattices @ SX1 )
                                                  | ~ ( l3_lattices @ SX1 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                                  | ~ ( v3_struct_0 @ SX1 ) ) )
                                      | ~ ! [SX1: $i] :
                                            ( ( v3_struct_0 @ SX1 )
                                            | ~ ( v10_lattices @ SX1 )
                                            | ~ ( l3_lattices @ SX1 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                            | ( v10_lattices @ SX1 ) ) )
                                | ~ ! [SX1: $i] :
                                      ( ( v3_struct_0 @ SX1 )
                                      | ~ ( v10_lattices @ SX1 )
                                      | ~ ( l3_lattices @ SX1 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                      | ( v15_lattices @ SX1 ) ) )
                          | ~ ! [SX1: $i] :
                                ( ( v3_struct_0 @ SX1 )
                                | ~ ( v10_lattices @ SX1 )
                                | ~ ( l3_lattices @ SX1 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                                | ( v16_lattices @ SX1 ) ) )
                    | ~ ! [SX1: $i] :
                          ( ( v3_struct_0 @ SX1 )
                          | ~ ( v10_lattices @ SX1 )
                          | ~ ( l3_lattices @ SX1 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) )
                          | ( l3_lattices @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7285]) ).

thf(7421,plain,
    ( ( ~ ( ~ ( l2_lattices @ sK29_A )
          | ~ ( v2_lattices @ sK29_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7225]) ).

thf(7422,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v15_lattices @ SX0 )
                | ~ ( v16_lattices @ SX0 )
                | ~ ( v11_lattices @ SX0 )
                | ( v17_lattices @ SX0 ) )
          | ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                            ( ( v3_struct_0 @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ~ ( v17_lattices @ SX0 )
                            | ( v15_lattices @ SX0 ) )
                      | ~ ! [SX0: $i] :
                            ( ( v3_struct_0 @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ~ ( v17_lattices @ SX0 )
                            | ( v16_lattices @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v11_lattices @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7231]) ).

thf(7423,plain,
    ( ( ~ ( ~ ~ ( v1_xboole_0 @ sK46_A )
          | ~ ( v1_setfam_1 @ sK46_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7153]) ).

thf(7424,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l1_struct_0 @ SX0 )
                | ! [SX1: $i] :
                    ( ( u1_struct_0 @ SX0 )
                   != ( k1_tarski @ SX1 ) )
                | ( v3_realset2 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l1_struct_0 @ SX0 )
                | ~ ( v3_realset2 @ SX0 )
                | ( ( u1_struct_0 @ SX0 )
                  = ( k1_tarski @ ( sK2_B @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7301]) ).

thf(7425,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( m1_filter_0 @ SX1 @ SX0 )
                      | ~ ( v3_struct_0 @ ( k8_filter_0 @ SX0 @ SX1 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( m1_filter_0 @ SX1 @ SX0 )
                      | ( v10_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( m1_filter_0 @ SX1 @ SX0 )
                | ( l3_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7073]) ).

thf(7426,plain,
    ( ( ~ ( ~ ~ ( ~ ( l1_rlvect_1 @ sK63_A )
                | ~ ~ ( v3_struct_0 @ sK63_A ) )
          | ~ ( v1_rlvect_1 @ sK63_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7054]) ).

thf(7427,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( ~ ( m2_lattice4 @ ( sK53_B @ SX0 ) @ SX0 )
              | ~ ~ ( v1_xboole_0 @ ( sK53_B @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7107]) ).

thf(7428,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                  ( ( v3_struct_0 @ SX0 )
                                  | ~ ( v10_lattices @ SX0 )
                                  | ~ ( l3_lattices @ SX0 )
                                  | ( v3_struct_0 @ SX0 )
                                  | ~ ( v10_lattices @ SX0 )
                                  | ~ ( v11_lattices @ SX0 )
                                  | ~ ( l3_lattices @ SX0 )
                                  | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
                            | ~ ! [SX0: $i] :
                                  ( ( v3_struct_0 @ SX0 )
                                  | ~ ( v10_lattices @ SX0 )
                                  | ~ ( l3_lattices @ SX0 )
                                  | ( v3_struct_0 @ SX0 )
                                  | ~ ( v10_lattices @ SX0 )
                                  | ~ ( v11_lattices @ SX0 )
                                  | ~ ( l3_lattices @ SX0 )
                                  | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
                      | ~ ! [SX0: $i] :
                            ( ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( v11_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ( v11_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( v11_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                  ( ( v3_struct_0 @ SX0 )
                                  | ~ ( v10_lattices @ SX0 )
                                  | ~ ( l3_lattices @ SX0 )
                                  | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                                  | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                                  | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                                  | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                                  | ~ ( v3_struct_0 @ SX0 ) )
                            | ~ ! [SX0: $i] :
                                  ( ( v3_struct_0 @ SX0 )
                                  | ~ ( v10_lattices @ SX0 )
                                  | ~ ( l3_lattices @ SX0 )
                                  | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                                  | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                                  | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                                  | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                                  | ( v10_lattices @ SX0 ) ) )
                      | ~ ! [SX0: $i] :
                            ( ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                            | ( v11_lattices @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ( l3_lattices @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7076]) ).

thf(7429,plain,
    ( ( ~ ( ~ ( l1_struct_0 @ sK57_A )
          | ~ ( v3_realset2 @ sK57_A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7062]) ).

thf(7430,plain,
    ! [SV1: $i] :
      ( ( ~ ( l1_pre_topc @ SV1 )
        | ~ ( v2_pre_topc @ SV1 )
        | ! [SY395: $i] :
            ( ~ ( m1_pre_topc @ SY395 @ SV1 )
            | ( v2_pre_topc @ SY395 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7038]) ).

thf(7431,plain,
    ! [SV2: $i] :
      ( ( ~ ( l1_pre_topc @ SV2 )
        | ~ ( v2_pre_topc @ SV2 )
        | ( v4_pre_topc @ ( k2_pre_topc @ SV2 ) @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7040]) ).

thf(7432,plain,
    ! [SV3: $i] :
      ( ( ~ ( l1_pre_topc @ SV3 )
        | ~ ( v2_pre_topc @ SV3 )
        | ( v4_pre_topc @ ( k2_pre_topc @ SV3 ) @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7041]) ).

thf(7433,plain,
    ! [SV4: $i] :
      ( ( ~ ( l1_pre_topc @ SV4 )
        | ! [SY396: $i] :
            ( ~ ( m1_pre_topc @ SY396 @ SV4 )
            | ( l1_pre_topc @ SY396 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7042]) ).

thf(7434,plain,
    ! [SV5: $i] :
      ( ( ~ ( l1_pre_topc @ SV5 )
        | ( m1_pre_topc @ ( sK66_B @ SV5 ) @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7043]) ).

thf(7435,plain,
    ! [SV6: $i] :
      ( ( ~ ( l1_pre_topc @ SV6 )
        | ( l1_struct_0 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7044]) ).

thf(7436,plain,
    ! [SV7: $i] :
      ( ( ~ ( l1_pre_topc @ SV7 )
        | ( v1_tops_1 @ ( k2_pre_topc @ SV7 ) @ SV7 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7046]) ).

thf(7437,plain,
    ! [SV8: $i] :
      ( ( ~ ( l1_pre_topc @ SV8 )
        | ~ ( v2_pre_topc @ SV8 )
        | ( v4_pre_topc @ ( k1_pre_topc @ SV8 ) @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7047]) ).

thf(7438,plain,
    ! [SV9: $i] :
      ( ( ~ ( l1_pre_topc @ SV9 )
        | ( ( k6_pre_topc @ SV9 @ ( k2_pre_topc @ SV9 ) )
          = ( k2_pre_topc @ SV9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7048]) ).

thf(7439,plain,
    ! [SV10: $i] :
      ( ( ~ ( l1_pre_topc @ SV10 )
        | ~ ( v2_pre_topc @ SV10 )
        | ( ( k1_tops_1 @ SV10 @ ( k2_pre_topc @ SV10 ) )
          = ( k2_pre_topc @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7049]) ).

thf(7440,plain,
    ! [SV11: $i] :
      ( ( ~ ( l1_pre_topc @ SV11 )
        | ( ( k1_tops_1 @ SV11 @ ( k1_pre_topc @ SV11 ) )
          = ( k1_pre_topc @ SV11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7050]) ).

thf(7441,plain,
    ! [SV12: $i] :
      ( ( ~ ( l1_pre_topc @ SV12 )
        | ~ ( v2_pre_topc @ SV12 )
        | ( v3_pre_topc @ ( k1_pre_topc @ SV12 ) @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7051]) ).

thf(7442,plain,
    ! [SV13: $i] :
      ( ( ~ ( l1_pre_topc @ SV13 )
        | ~ ( v2_pre_topc @ SV13 )
        | ( v3_pre_topc @ ( k2_pre_topc @ SV13 ) @ SV13 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7052]) ).

thf(7443,plain,
    ! [SV14: $i] :
      ( ( ( v3_struct_0 @ SV14 )
        | ~ ( v10_lattices @ SV14 )
        | ~ ( l3_lattices @ SV14 )
        | ( m1_filter_0 @ ( u1_struct_0 @ SV14 ) @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7064]) ).

thf(7444,plain,
    ! [SV15: $i] :
      ( ( ( v3_struct_0 @ SV15 )
        | ~ ( v10_lattices @ SV15 )
        | ~ ( l3_lattices @ SV15 )
        | ( ( k1_filter_0 @ SV15 )
          = ( u1_struct_0 @ SV15 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7065]) ).

thf(7445,plain,
    ! [SV16: $i] :
      ( ( ( v3_struct_0 @ SV16 )
        | ~ ( v10_lattices @ SV16 )
        | ~ ( l3_lattices @ SV16 )
        | ! [SY397: $i] :
            ( ~ ( m1_filter_0 @ SY397 @ SV16 )
            | ( ( k3_filter_0 @ SV16 @ SY397 )
              = SY397 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7066]) ).

thf(7446,plain,
    ! [SV17: $i] :
      ( ( ( v3_struct_0 @ SV17 )
        | ~ ( v10_lattices @ SV17 )
        | ~ ( v3_filter_0 @ SV17 )
        | ~ ( l3_lattices @ SV17 )
        | ( v14_lattices @ SV17 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7067]) ).

thf(7447,plain,
    ! [SV18: $i] :
      ( ( ( v3_struct_0 @ SV18 )
        | ~ ( v10_lattices @ SV18 )
        | ~ ( v3_filter_0 @ SV18 )
        | ~ ( l3_lattices @ SV18 )
        | ( v11_lattices @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7068]) ).

thf(7448,plain,
    ! [SV19: $i] :
      ( ( ( v3_struct_0 @ SV19 )
        | ~ ( v10_lattices @ SV19 )
        | ~ ( v17_lattices @ SV19 )
        | ~ ( l3_lattices @ SV19 )
        | ( v3_filter_0 @ SV19 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7069]) ).

thf(7449,plain,
    ! [SV20: $i] :
      ( ( ( v3_struct_0 @ SV20 )
        | ~ ( v10_lattices @ SV20 )
        | ~ ( l3_lattices @ SV20 )
        | ( m1_filter_0 @ ( sK55_B @ SV20 ) @ SV20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7070]) ).

thf(7450,plain,
    ! [SV21: $i] :
      ( ( ( v3_struct_0 @ SV21 )
        | ~ ( v10_lattices @ SV21 )
        | ~ ( l3_lattices @ SV21 )
        | ( m1_filter_0 @ ( k1_filter_0 @ SV21 ) @ SV21 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7071]) ).

thf(7451,plain,
    ! [SV22: $i] :
      ( ( ! [SY398: $i,SY399: $i] :
            ( ( v3_struct_0 @ SV22 )
            | ~ ( v10_lattices @ SV22 )
            | ~ ( v17_lattices @ SV22 )
            | ~ ( l3_lattices @ SV22 )
            | ~ ( m1_filter_0 @ SY398 @ SV22 )
            | ~ ( m1_filter_0 @ SY399 @ SV22 )
            | ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SY398 @ SY399 ) @ SV22 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7072]) ).

thf(7452,plain,
    ! [SV23: $i] :
      ( ( ( v3_struct_0 @ SV23 )
        | ~ ( v3_lattices @ SV23 )
        | ~ ( l3_lattices @ SV23 )
        | ( ( k1_lattice2 @ ( k1_lattice2 @ SV23 ) )
          = SV23 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7075]) ).

thf(7453,plain,
    ! [SV24: $i] :
      ( ( ( v3_struct_0 @ SV24 )
        | ~ ( v10_lattices @ SV24 )
        | ~ ( l3_lattices @ SV24 )
        | ! [SY400: $i] :
            ( ( v3_struct_0 @ SY400 )
            | ~ ( v10_lattices @ SY400 )
            | ~ ( l3_lattices @ SY400 )
            | ! [SY401: $i] :
                ( ( v3_struct_0 @ SY401 )
                | ~ ( v10_lattices @ SY401 )
                | ~ ( l3_lattices @ SY401 )
                | ~ ( r1_filter_1 @ SV24 @ SY400 )
                | ~ ( r1_filter_1 @ SY400 @ SY401 )
                | ( r1_filter_1 @ SV24 @ SY401 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7082]) ).

thf(7454,plain,
    ! [SV25: $i] :
      ( ( ( v3_struct_0 @ SV25 )
        | ~ ( v10_lattices @ SV25 )
        | ~ ( l3_lattices @ SV25 )
        | ! [SY402: $i] :
            ( ( v3_struct_0 @ SY402 )
            | ~ ( v10_lattices @ SY402 )
            | ~ ( l3_lattices @ SY402 )
            | ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SY402 ) )
              = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SY402 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7091]) ).

thf(7455,plain,
    ! [SV26: $i] :
      ( ( ( v3_struct_0 @ SV26 )
        | ~ ( v10_lattices @ SV26 )
        | ~ ( l3_lattices @ SV26 )
        | ! [SY403: $i] :
            ( ( v3_struct_0 @ SY403 )
            | ~ ( v10_lattices @ SY403 )
            | ~ ( l3_lattices @ SY403 )
            | ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SY403 ) @ ( k8_filter_1 @ SY403 @ SV26 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7092]) ).

thf(7456,plain,
    ! [SV27: $i] :
      ( ( ! [SY404: $i] :
            ( ( v3_struct_0 @ SV27 )
            | ~ ( v10_lattices @ SV27 )
            | ~ ( l3_lattices @ SV27 )
            | ( v3_struct_0 @ SY404 )
            | ~ ( v10_lattices @ SY404 )
            | ~ ( l3_lattices @ SY404 )
            | ~ ( r1_filter_1 @ SV27 @ SY404 )
            | ( r1_filter_1 @ SY404 @ SV27 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7093]) ).

thf(7457,plain,
    ! [SV28: $i] :
      ( ( ! [SY405: $i] :
            ( ( v3_struct_0 @ SV28 )
            | ~ ( v10_lattices @ SV28 )
            | ~ ( l3_lattices @ SV28 )
            | ( v3_struct_0 @ SY405 )
            | ~ ( v10_lattices @ SY405 )
            | ~ ( l3_lattices @ SY405 ) )
        | ( r1_filter_1 @ SV28 @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7094]) ).

thf(7458,plain,
    ! [SV29: $i] :
      ( ( ! [SY406: $i,SY407: $i] :
            ( ( v3_struct_0 @ SV29 )
            | ~ ( v10_lattices @ SV29 )
            | ~ ( l3_lattices @ SV29 )
            | ~ ( m1_filter_0 @ SY406 @ SV29 )
            | ~ ( m1_filter_0 @ SY407 @ SV29 )
            | ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SY406 @ SY407 ) @ SV29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7095]) ).

thf(7459,plain,
    ! [SV30: $i] :
      ( ( ! [SY408: $i,SY409: $i] :
            ( ( v3_struct_0 @ SV30 )
            | ~ ( v10_lattices @ SV30 )
            | ~ ( l3_lattices @ SV30 )
            | ~ ( m1_filter_0 @ SY408 @ SV30 )
            | ~ ( m1_filter_0 @ SY409 @ SV30 )
            | ( ( k1_filter_1 @ SV30 @ SY408 @ SY409 )
              = ( k1_filter_1 @ SV30 @ SY409 @ SY408 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7096]) ).

thf(7460,plain,
    ! [SV31: $i] :
      ( ( ! [SY410: $i] :
            ( ( v3_struct_0 @ SV31 )
            | ~ ( v10_lattices @ SV31 )
            | ~ ( l3_lattices @ SV31 )
            | ~ ( m1_filter_0 @ SY410 @ SV31 )
            | ! [SY411: $i] :
                ~ ( m1_filter_0 @ SY411 @ SV31 )
            | ( ( k1_filter_1 @ SV31 @ SY410 @ SY410 )
              = SY410 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7097]) ).

thf(7461,plain,
    ! [SV32: $i] :
      ( ( ( v3_struct_0 @ SV32 )
        | ~ ( v10_lattices @ SV32 )
        | ~ ( l3_lattices @ SV32 )
        | ( v1_relat_1 @ ( k9_filter_1 @ SV32 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7099]) ).

thf(7462,plain,
    ! [SV33: $i] :
      ( ( ( v3_struct_0 @ SV33 )
        | ~ ( v10_lattices @ SV33 )
        | ~ ( l3_lattices @ SV33 )
        | ( ( k9_filter_1 @ SV33 )
          = ( a_1_0_filter_1 @ SV33 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7100]) ).

thf(7463,plain,
    ! [SV34: $i] :
      ( ( ( v3_struct_0 @ SV34 )
        | ~ ( v2_pre_topc @ SV34 )
        | ~ ( l1_pre_topc @ SV34 )
        | ( m1_borsuk_1 @ ( k15_borsuk_1 @ SV34 ) @ SV34 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7103]) ).

thf(7464,plain,
    ! [SV35: $i] :
      ( ( ( v3_struct_0 @ SV35 )
        | ~ ( v2_pre_topc @ SV35 )
        | ~ ( l1_pre_topc @ SV35 )
        | ( m1_borsuk_1 @ ( sK54_B @ SV35 ) @ SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7104]) ).

thf(7465,plain,
    ! [SV36: $i] :
      ( ( ( v3_struct_0 @ SV36 )
        | ~ ( v10_lattices @ SV36 )
        | ~ ( l3_lattices @ SV36 )
        | ( v2_filter_0 @ ( k1_filter_0 @ SV36 ) @ SV36 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7108]) ).

thf(7466,plain,
    ! [SV37: $i] :
      ( ( ( v3_struct_0 @ SV37 )
        | ~ ( v10_lattices @ SV37 )
        | ~ ( l3_lattices @ SV37 )
        | ( m2_lattice4 @ ( u1_struct_0 @ SV37 ) @ SV37 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7110]) ).

thf(7467,plain,
    ! [SV38: $i] :
      ( ( ( v3_struct_0 @ SV38 )
        | ~ ( v10_lattices @ SV38 )
        | ~ ( l3_lattices @ SV38 )
        | ! [SY412: $i] :
            ( ~ ( m1_filter_0 @ SY412 @ SV38 )
            | ( m2_lattice4 @ SY412 @ SV38 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7111]) ).

thf(7468,plain,
    ! [SV39: $i] :
      ( ( ( v3_struct_0 @ SV39 )
        | ~ ( v10_lattices @ SV39 )
        | ~ ( v17_lattices @ SV39 )
        | ~ ( l3_lattices @ SV39 )
        | ( m3_lattice4 @ ( u1_struct_0 @ SV39 ) @ SV39 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7112]) ).

thf(7469,plain,
    ! [SV40: $i] :
      ( ( ( v3_struct_0 @ SV40 )
        | ~ ( v10_lattices @ SV40 )
        | ~ ( v17_lattices @ SV40 )
        | ~ ( l3_lattices @ SV40 )
        | ! [SY413: $i] :
            ( ~ ( m3_lattice4 @ SY413 @ SV40 )
            | ( m2_lattice4 @ SY413 @ SV40 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7113]) ).

thf(7470,plain,
    ! [SV41: $i] :
      ( ( ! [SY414: $i] :
            ( ( v3_struct_0 @ SV41 )
            | ~ ( v10_lattices @ SV41 )
            | ~ ( l3_lattices @ SV41 )
            | ( v3_struct_0 @ SY414 )
            | ~ ( v10_lattices @ SY414 )
            | ~ ( l3_lattices @ SY414 )
            | ( m1_lattice4 @ ( sK51_C @ SY414 @ SV41 ) @ SV41 @ SY414 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7114]) ).

thf(7471,plain,
    ! [SV42: $i] :
      ( ( ( v3_struct_0 @ SV42 )
        | ~ ( v10_lattices @ SV42 )
        | ~ ( l3_lattices @ SV42 )
        | ( m2_lattice4 @ ( sK50_B @ SV42 ) @ SV42 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7115]) ).

thf(7472,plain,
    ! [SV43: $i] :
      ( ( ( v3_struct_0 @ SV43 )
        | ~ ( v10_lattices @ SV43 )
        | ~ ( v17_lattices @ SV43 )
        | ~ ( l3_lattices @ SV43 )
        | ( m3_lattice4 @ ( sK49_B @ SV43 ) @ SV43 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7116]) ).

thf(7473,plain,
    ! [SV44: $i] :
      ( ( ( v3_struct_0 @ SV44 )
        | ~ ( v10_lattices @ SV44 )
        | ~ ( v17_lattices @ SV44 )
        | ( v3_realset2 @ SV44 )
        | ~ ( l3_lattices @ SV44 )
        | ( ( k9_lopclset @ SV44 )
          = ( k8_lopclset @ SV44 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7118]) ).

thf(7474,plain,
    ! [SV45: $i] :
      ( ( ( v3_struct_0 @ SV45 )
        | ~ ( v10_lattices @ SV45 )
        | ~ ( v17_lattices @ SV45 )
        | ( v3_realset2 @ SV45 )
        | ~ ( l3_lattices @ SV45 )
        | ( ( k13_lopclset @ SV45 )
          = ( k8_lopclset @ SV45 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7121]) ).

thf(7475,plain,
    ! [SV46: $i] :
      ( ( ( v3_struct_0 @ SV46 )
        | ~ ( l1_pre_topc @ SV46 )
        | ( ( k1_lopclset @ SV46 )
          = ( a_1_0_lopclset @ SV46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7122]) ).

thf(7476,plain,
    ! [SV47: $i] :
      ( ( ( v3_struct_0 @ SV47 )
        | ~ ( v2_pre_topc @ SV47 )
        | ~ ( l1_pre_topc @ SV47 )
        | ~ ( v1_xboole_0 @ ( k1_lopclset @ SV47 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7123]) ).

thf(7477,plain,
    ! [SV48: $i] :
      ( ( ( v3_struct_0 @ SV48 )
        | ~ ( v2_pre_topc @ SV48 )
        | ~ ( l1_pre_topc @ SV48 )
        | ( ( u1_struct_0 @ ( k6_lopclset @ SV48 ) )
          = ( k1_lopclset @ SV48 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7124]) ).

thf(7478,plain,
    ! [SV49: $i] :
      ( ( ( v3_struct_0 @ SV49 )
        | ~ ( v2_pre_topc @ SV49 )
        | ~ ( l1_pre_topc @ SV49 )
        | ( v17_lattices @ ( k6_lopclset @ SV49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7125]) ).

thf(7479,plain,
    ! [SV50: $i] :
      ( ( ( v3_struct_0 @ SV50 )
        | ~ ( v10_lattices @ SV50 )
        | ~ ( v17_lattices @ SV50 )
        | ( v3_realset2 @ SV50 )
        | ~ ( l3_lattices @ SV50 )
        | ( ( k7_lopclset @ SV50 )
          = ( a_1_1_lopclset @ SV50 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7126]) ).

thf(7480,plain,
    ! [SV51: $i] :
      ( ( ( v3_struct_0 @ SV51 )
        | ~ ( v10_lattices @ SV51 )
        | ~ ( v17_lattices @ SV51 )
        | ( v3_realset2 @ SV51 )
        | ~ ( l3_lattices @ SV51 )
        | ~ ( v1_xboole_0 @ ( k7_lopclset @ SV51 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7127]) ).

thf(7481,plain,
    ! [SV52: $i] :
      ( ( ( v3_struct_0 @ SV52 )
        | ~ ( v10_lattices @ SV52 )
        | ~ ( v17_lattices @ SV52 )
        | ( v3_realset2 @ SV52 )
        | ~ ( l3_lattices @ SV52 )
        | ~ ( v1_xboole_0 @ ( k10_lopclset @ SV52 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7128]) ).

thf(7482,plain,
    ! [SV53: $i] :
      ( ( ( v3_struct_0 @ SV53 )
        | ~ ( v10_lattices @ SV53 )
        | ~ ( v17_lattices @ SV53 )
        | ( v3_realset2 @ SV53 )
        | ~ ( l3_lattices @ SV53 )
        | ( ( k12_lopclset @ SV53 )
          = ( k6_lopclset @ ( k11_lopclset @ SV53 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7130]) ).

thf(7483,plain,
    ! [SV54: $i] :
      ( ( ( v3_struct_0 @ SV54 )
        | ~ ( v10_lattices @ SV54 )
        | ~ ( v17_lattices @ SV54 )
        | ( v3_realset2 @ SV54 )
        | ~ ( l3_lattices @ SV54 )
        | ( v2_funct_1 @ ( k9_lopclset @ SV54 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7131]) ).

thf(7484,plain,
    ! [SV55: $i] :
      ( ( ( v3_struct_0 @ SV55 )
        | ~ ( v10_lattices @ SV55 )
        | ~ ( v17_lattices @ SV55 )
        | ( v3_realset2 @ SV55 )
        | ~ ( l3_lattices @ SV55 )
        | ( r1_filter_1 @ SV55 @ ( k12_lopclset @ SV55 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7132]) ).

thf(7485,plain,
    ( ( v1_xboole_0 @ sK47_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7135]) ).

thf(7486,plain,
    ! [SV56: $i] :
      ( ( ( v1_xboole_0 @ SV56 )
        | ! [SY415: $i] :
            ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV56 @ SY415 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7136]) ).

thf(7487,plain,
    ! [SV57: $i] :
      ( ( ( v1_xboole_0 @ SV57 )
        | ! [SY416: $i] :
            ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SY416 @ SV57 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7137]) ).

thf(7488,plain,
    ! [SV58: $i] :
      ( ( ~ ( v1_xboole_0 @ SV58 )
        | ( SV58 = k1_xboole_0 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7139]) ).

thf(7489,plain,
    ! [SV59: $i] :
      ( ( ! [SY417: $i] :
            ( ~ ( r2_hidden @ SV59 @ SY417 )
            | ~ ( v1_xboole_0 @ SY417 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7140]) ).

thf(7490,plain,
    ! [SV60: $i] :
      ( ( ! [SY418: $i] :
            ( ( SV60 = SY418 )
            | ~ ( v1_xboole_0 @ SV60 )
            | ~ ( v1_xboole_0 @ SY418 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7141]) ).

thf(7491,plain,
    ! [SV61: $i] :
      ( ( ! [SY419: $i] :
            ~ ( v1_xboole_0 @ ( k4_tarski @ SV61 @ SY419 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7142]) ).

thf(7492,plain,
    ! [SV62: $i] :
      ( ( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV62 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7143]) ).

thf(7493,plain,
    ! [SV63: $i] :
      ( ( ~ ( v1_xboole_0 @ ( k1_tarski @ SV63 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7144]) ).

thf(7494,plain,
    ! [SV64: $i] :
      ( ( ! [SY420: $i] :
            ~ ( v1_xboole_0 @ ( k2_tarski @ SV64 @ SY420 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7145]) ).

thf(7495,plain,
    ! [SV65: $i] :
      ( ( ! [SY421: $i] :
            ( ( v1_xboole_0 @ SV65 )
            | ( v1_xboole_0 @ SY421 )
            | ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV65 @ SY421 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7146]) ).

thf(7496,plain,
    ! [SV66: $i] :
      ( ( ! [SY422: $i,SY423: $i] :
            ( ( v1_xboole_0 @ SV66 )
            | ( v1_xboole_0 @ SY422 )
            | ( v1_xboole_0 @ SY423 )
            | ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV66 @ SY422 @ SY423 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7147]) ).

thf(7497,plain,
    ! [SV67: $i] :
      ( ( ! [SY424: $i,SY425: $i,SY426: $i] :
            ( ( v1_xboole_0 @ SV67 )
            | ( v1_xboole_0 @ SY424 )
            | ( v1_xboole_0 @ SY425 )
            | ( v1_xboole_0 @ SY426 )
            | ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV67 @ SY424 @ SY425 @ SY426 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7148]) ).

thf(7498,plain,
    ! [SV68: $i] :
      ( ( ! [SY427: $i] :
            ( ( v1_xboole_0 @ SV68 )
            | ( v1_xboole_0 @ SY427 )
            | ~ ( r1_subset_1 @ SV68 @ SY427 )
            | ( r1_subset_1 @ SY427 @ SV68 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7149]) ).

thf(7499,plain,
    ! [SV69: $i] :
      ( ( ( v1_xboole_0 @ SV69 )
        | ! [B: $i] : ( v1_xboole_0 @ B )
        | ~ ( r1_subset_1 @ SV69 @ SV69 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7150]) ).

thf(7500,plain,
    ! [SV70: $i] :
      ( ( ! [SY429: $i] :
            ( ( v1_xboole_0 @ SV70 )
            | ( v1_xboole_0 @ SY429 )
            | ~ ( r2_subset_1 @ SV70 @ SY429 )
            | ( r2_subset_1 @ SY429 @ SV70 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7151]) ).

thf(7501,plain,
    ! [SV71: $i] :
      ( ( ( v1_xboole_0 @ SV71 )
        | ! [B: $i] : ( v1_xboole_0 @ B )
        | ~ ( r2_subset_1 @ SV71 @ SV71 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7152]) ).

thf(7502,plain,
    ! [SV72: $i] :
      ( ( ( v2_setfam_1 @ SV72 )
        | ~ ( v1_xboole_0 @ SV72 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7154]) ).

thf(7503,plain,
    ! [SV73: $i] :
      ( ( ! [SY431: $i] :
            ( ~ ( v1_relat_1 @ SV73 )
            | ~ ( v1_relat_1 @ SY431 )
            | ( v1_relat_1 @ ( k3_xboole_0 @ SV73 @ SY431 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7156]) ).

thf(7504,plain,
    ! [SV74: $i] :
      ( ( ! [SY432: $i] :
            ( ~ ( v1_relat_1 @ SV74 )
            | ~ ( v1_relat_1 @ SY432 )
            | ( v1_relat_1 @ ( k2_xboole_0 @ SV74 @ SY432 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7157]) ).

thf(7505,plain,
    ! [SV75: $i] :
      ( ( ! [SY433: $i] :
            ( ~ ( v1_relat_1 @ SV75 )
            | ~ ( v1_relat_1 @ SY433 )
            | ( v1_relat_1 @ ( k4_xboole_0 @ SV75 @ SY433 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7158]) ).

thf(7506,plain,
    ! [SV76: $i] :
      ( ( ~ ( v1_xboole_0 @ SV76 )
        | ( v1_relat_1 @ SV76 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7159]) ).

thf(7507,plain,
    ! [SV77: $i] :
      ( ( ( v1_xboole_0 @ SV77 )
        | ~ ( v1_relat_1 @ SV77 )
        | ~ ( v1_xboole_0 @ ( k1_relat_1 @ SV77 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7162]) ).

thf(7508,plain,
    ! [SV78: $i] :
      ( ( ( v1_xboole_0 @ SV78 )
        | ~ ( v1_relat_1 @ SV78 )
        | ~ ( v1_xboole_0 @ ( k2_relat_1 @ SV78 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7163]) ).

thf(7509,plain,
    ! [SV79: $i] :
      ( ( ! [SY434: $i] :
            ( ~ ( v1_relat_1 @ SY434 )
            | ~ ( r1_tarski @ SV79 @ SY434 )
            | ( v1_relat_1 @ SV79 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7170]) ).

thf(7510,plain,
    ! [SV80: $i] :
      ( ( ! [SY435: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ SV80 @ SY435 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7171]) ).

thf(7511,plain,
    ! [SV81: $i] :
      ( ( ! [SY436: $i] :
            ( ~ ( v1_relat_1 @ SY436 )
            | ( v1_relat_1 @ ( k3_xboole_0 @ SV81 @ SY436 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7172]) ).

thf(7512,plain,
    ! [SV82: $i] :
      ( ( ! [SY437: $i] :
            ( ~ ( v1_relat_1 @ SY437 )
            | ( v1_relat_1 @ ( k4_xboole_0 @ SY437 @ SV82 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7173]) ).

thf(7513,plain,
    ! [SV83: $i] :
      ( ( ~ ( v1_relat_1 @ SV83 )
        | ! [SY438: $i] :
            ( ~ ( v1_relat_1 @ SY438 )
            | ! [SY439: $i] :
                ( ~ ( v1_relat_1 @ SY439 )
                | ( ( k5_relat_1 @ ( k5_relat_1 @ SV83 @ SY438 ) @ SY439 )
                  = ( k5_relat_1 @ SV83 @ ( k5_relat_1 @ SY438 @ SY439 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7174]) ).

thf(7514,plain,
    ! [SV84: $i] :
      ( ( ! [SY440: $i] :
            ( ~ ( v1_relat_1 @ SY440 )
            | ( ( k7_relat_1 @ ( k7_relat_1 @ SY440 @ SV84 ) @ SV84 )
              = ( k7_relat_1 @ SY440 @ SV84 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7175]) ).

thf(7515,plain,
    ! [SV85: $i] :
      ( ( ! [SY441: $i] :
            ( ~ ( v1_relat_1 @ SY441 )
            | ( ( k8_relat_1 @ SV85 @ ( k8_relat_1 @ SV85 @ SY441 ) )
              = ( k8_relat_1 @ SV85 @ SY441 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7176]) ).

thf(7516,plain,
    ! [SV86: $i] :
      ( ( ~ ( v1_relat_1 @ SV86 )
        | ( v1_relat_1 @ ( k4_relat_1 @ SV86 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7177]) ).

thf(7517,plain,
    ! [SV87: $i] :
      ( ( ~ ( v1_relat_1 @ SV87 )
        | ( ( k4_relat_1 @ ( k4_relat_1 @ SV87 ) )
          = SV87 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7178]) ).

thf(7518,plain,
    ! [SV88: $i] :
      ( ( ! [SY442: $i] :
            ( ~ ( v1_relat_1 @ SV88 )
            | ~ ( v1_relat_1 @ SY442 )
            | ( v1_relat_1 @ ( k5_relat_1 @ SV88 @ SY442 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7179]) ).

thf(7519,plain,
    ! [SV89: $i] :
      ( ( v1_relat_1 @ ( k6_relat_1 @ SV89 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7180]) ).

thf(7520,plain,
    ! [SV90: $i] :
      ( ( ~ ( v1_relat_1 @ SV90 )
        | ! [SY443: $i] : ( v1_relat_1 @ ( k7_relat_1 @ SV90 @ SY443 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7181]) ).

thf(7521,plain,
    ! [SV91: $i] :
      ( ( ! [SY444: $i] :
            ( ~ ( v1_relat_1 @ SY444 )
            | ( v1_relat_1 @ ( k8_relat_1 @ SV91 @ SY444 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7182]) ).

thf(7522,plain,
    ! [SV92: $i] :
      ( ( ~ ( v1_xboole_0 @ SV92 )
        | ( v1_funct_1 @ SV92 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7184]) ).

thf(7523,plain,
    ! [SV93: $i] :
      ( ( v2_funct_1 @ ( k6_relat_1 @ SV93 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7188]) ).

thf(7524,plain,
    ! [SV94: $i] :
      ( ( ~ ( v1_xboole_0 @ ( k1_ordinal1 @ SV94 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7189]) ).

thf(7525,plain,
    ! [SV95: $i] :
      ( ( ! [SY445: $i] :
            ~ ( v1_xboole_0 @ ( k4_partfun1 @ SV95 @ SY445 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7191]) ).

thf(7526,plain,
    ! [SV96: $i] :
      ( ( ! [SY446: $i] :
            ( ( v1_xboole_0 @ SY446 )
            | ~ ( v1_xboole_0 @ ( k1_funct_2 @ SV96 @ SY446 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7192]) ).

thf(7527,plain,
    ! [SV97: $i] :
      ( ( ~ ( v1_xboole_0 @ ( k1_funct_2 @ SV97 @ SV97 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7193]) ).

thf(7528,plain,
    ! [SV98: $i] :
      ( ( ~ ( v1_xboole_0 @ SV98 )
        | ( v1_finset_1 @ SV98 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7195]) ).

thf(7529,plain,
    ( ( v1_xboole_0 @ k1_numbers )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7197]) ).

thf(7530,plain,
    ( ( v1_xboole_0 @ k2_numbers )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7198]) ).

thf(7531,plain,
    ( ( v1_xboole_0 @ k3_numbers )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7199]) ).

thf(7532,plain,
    ( ( v1_xboole_0 @ k4_numbers )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7200]) ).

thf(7533,plain,
    ! [SV99: $i] :
      ( ( ~ ( v1_xboole_0 @ ( k13_finseq_1 @ SV99 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7201]) ).

thf(7534,plain,
    ! [SV100: $i] :
      ( ( ~ ( v1_relat_1 @ SV100 )
        | ( v1_relat_1 @ ( k17_finseq_1 @ SV100 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7202]) ).

thf(7535,plain,
    ! [SV101: $i] :
      ( ( ( v1_xboole_0 @ SV101 )
        | ! [SY447: $i] :
            ( ~ ( m1_eqrel_1 @ SY447 @ SV101 )
            | ~ ( v1_xboole_0 @ SY447 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7203]) ).

thf(7536,plain,
    ( ( v1_xboole_0 @ k1_qc_lang1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7204]) ).

thf(7537,plain,
    ( ( v1_xboole_0 @ k2_qc_lang1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7205]) ).

thf(7538,plain,
    ( ( v1_xboole_0 @ k3_qc_lang1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7206]) ).

thf(7539,plain,
    ( ( v1_xboole_0 @ k4_qc_lang1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7207]) ).

thf(7540,plain,
    ( ( v1_xboole_0 @ k5_qc_lang1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7208]) ).

thf(7541,plain,
    ( ( v1_xboole_0 @ k8_qc_lang1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7209]) ).

thf(7542,plain,
    ( ( v1_xboole_0 @ k7_cqc_lang )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7210]) ).

thf(7543,plain,
    ! [SV102: $i] :
      ( ( ~ ( v1_relat_1 @ SV102 )
        | ! [SY448: $i] : ( v1_relat_1 @ ( k1_realset1 @ SV102 @ SY448 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7211]) ).

thf(7544,plain,
    ! [SV103: $i] :
      ( ( ( v1_realset1 @ SV103 )
        | ~ ( v1_xboole_0 @ SV103 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7214]) ).

thf(7545,plain,
    ! [SV104: $i] :
      ( ( ! [SY449: $i] :
            ( ~ ( v1_relat_1 @ SV104 )
            | ~ ( v1_relat_1 @ SY449 )
            | ~ ( r1_rfinseq @ SV104 @ SY449 )
            | ( r1_rfinseq @ SY449 @ SV104 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7215]) ).

thf(7546,plain,
    ! [SV105: $i] :
      ( ( ~ ( v1_relat_1 @ SV105 )
        | ! [B: $i] :
            ~ ( v1_relat_1 @ B )
        | ( r1_rfinseq @ SV105 @ SV105 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7216]) ).

thf(7547,plain,
    ! [SV106: $i] :
      ( ( ( v3_struct_0 @ SV106 )
        | ~ ( l1_struct_0 @ SV106 )
        | ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV106 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7219]) ).

thf(7548,plain,
    ! [SV107: $i] :
      ( ( ~ ( l2_struct_0 @ SV107 )
        | ( l1_struct_0 @ SV107 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7222]) ).

thf(7549,plain,
    ! [SV108: $i] :
      ( ( ~ ( l1_lattices @ SV108 )
        | ( l1_struct_0 @ SV108 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7232]) ).

thf(7550,plain,
    ! [SV109: $i] :
      ( ( ~ ( l2_lattices @ SV109 )
        | ( l1_struct_0 @ SV109 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7234]) ).

thf(7551,plain,
    ! [SV110: $i] :
      ( ( ( v3_struct_0 @ SV110 )
        | ~ ( l1_struct_0 @ SV110 )
        | ~ ( v1_xboole_0 @ ( k2_pre_topc @ SV110 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7236]) ).

thf(7552,plain,
    ! [SV111: $i] :
      ( ( ~ ( l1_struct_0 @ SV111 )
        | ( ( k1_pre_topc @ SV111 )
          = k1_xboole_0 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7237]) ).

thf(7553,plain,
    ! [SV112: $i] :
      ( ( ~ ( l1_struct_0 @ SV112 )
        | ( ( k2_pre_topc @ SV112 )
          = ( u1_struct_0 @ SV112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7238]) ).

thf(7554,plain,
    ! [SV113: $i] :
      ( ( ~ ( l1_struct_0 @ SV113 )
        | ( ( k2_pre_topc @ SV113 )
          = ( u1_struct_0 @ SV113 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7239]) ).

thf(7555,plain,
    ! [SV114: $i] :
      ( ( ~ ( l1_struct_0 @ SV114 )
        | ( ( k2_pre_topc @ SV114 )
          = ( k3_subset_1 @ ( u1_struct_0 @ SV114 ) @ ( k1_pre_topc @ SV114 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7240]) ).

thf(7556,plain,
    ! [SV115: $i] :
      ( ( ~ ( l1_struct_0 @ SV115 )
        | ( ( k3_subset_1 @ ( u1_struct_0 @ SV115 ) @ ( k2_pre_topc @ SV115 ) )
          = ( k1_pre_topc @ SV115 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7242]) ).

thf(7557,plain,
    ! [SV116: $i] :
      ( ( ~ ( l1_rlvect_1 @ SV116 )
        | ( l2_struct_0 @ SV116 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7245]) ).

thf(7558,plain,
    ! [SV117: $i] :
      ( ( ~ ( l2_rlvect_1 @ SV117 )
        | ( l1_rlvect_1 @ SV117 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7247]) ).

thf(7559,plain,
    ! [SV118: $i] :
      ( ( ~ ( l1_group_1 @ SV118 )
        | ( l1_struct_0 @ SV118 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7251]) ).

thf(7560,plain,
    ! [SV119: $i] :
      ( ( ~ ( l1_vectsp_1 @ SV119 )
        | ( l1_group_1 @ SV119 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7257]) ).

thf(7561,plain,
    ! [SV120: $i] :
      ( ( ~ ( l1_struct_0 @ SV120 )
        | ! [SY451: $i] :
            ( ~ ( l4_vectsp_1 @ SY451 @ SV120 )
            | ( l1_rlvect_1 @ SY451 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7263]) ).

thf(7562,plain,
    ! [SV121: $i] :
      ( ( ~ ( l1_struct_0 @ SV121 )
        | ( l4_vectsp_1 @ ( sK14_B @ SV121 ) @ SV121 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7264]) ).

thf(7563,plain,
    ! [SV122: $i] :
      ( ( ( v3_struct_0 @ SV122 )
        | ~ ( v10_lattices @ SV122 )
        | ~ ( v17_lattices @ SV122 )
        | ~ ( l3_lattices @ SV122 )
        | ! [SY452: $i] :
            ( ~ ( m1_filter_0 @ SY452 @ SV122 )
            | ! [SY453: $i] :
                ( ~ ( m1_filter_0 @ SY453 @ SV122 )
                | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SY452 @ SY453 ) )
                  = ( k7_filter_0 @ SV122 @ SY452 @ SY453 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7270]) ).

thf(7564,plain,
    ! [SV123: $i] :
      ( ( ( v3_struct_0 @ SV123 )
        | ~ ( v3_lattices @ SV123 )
        | ~ ( v10_lattices @ SV123 )
        | ~ ( l3_lattices @ SV123 )
        | ( ( k8_filter_0 @ SV123 @ ( k1_filter_0 @ SV123 ) )
          = SV123 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7272]) ).

thf(7565,plain,
    ! [SV124: $i] :
      ( ( ( v3_struct_0 @ SV124 )
        | ~ ( v10_lattices @ SV124 )
        | ~ ( l3_lattices @ SV124 )
        | ! [SY454: $i] :
            ( ~ ( m1_filter_0 @ SY454 @ SV124 )
            | ~ ( v14_lattices @ SV124 )
            | ( v14_lattices @ ( k8_filter_0 @ SV124 @ SY454 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7273]) ).

thf(7566,plain,
    ! [SV125: $i] :
      ( ( ( v3_struct_0 @ SV125 )
        | ~ ( v10_lattices @ SV125 )
        | ~ ( l3_lattices @ SV125 )
        | ! [SY455: $i] :
            ( ~ ( m1_filter_0 @ SY455 @ SV125 )
            | ~ ( v12_lattices @ SV125 )
            | ( v12_lattices @ ( k8_filter_0 @ SV125 @ SY455 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7274]) ).

thf(7567,plain,
    ! [SV126: $i] :
      ( ( ( v3_struct_0 @ SV126 )
        | ~ ( v10_lattices @ SV126 )
        | ~ ( l3_lattices @ SV126 )
        | ! [SY456: $i] :
            ( ~ ( m1_filter_0 @ SY456 @ SV126 )
            | ~ ( v11_lattices @ SV126 )
            | ( v11_lattices @ ( k8_filter_0 @ SV126 @ SY456 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7275]) ).

thf(7568,plain,
    ! [SV127: $i] :
      ( ( ( v3_struct_0 @ SV127 )
        | ~ ( v10_lattices @ SV127 )
        | ~ ( l3_lattices @ SV127 )
        | ! [SY457: $i] :
            ( ~ ( m1_filter_0 @ SY457 @ SV127 )
            | ( v3_struct_0 @ SV127 )
            | ~ ( v10_lattices @ SV127 )
            | ~ ( v3_filter_0 @ SV127 )
            | ~ ( l3_lattices @ SV127 )
            | ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SY457 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7276]) ).

thf(7569,plain,
    ! [SV128: $i] :
      ( ( ! [SY458: $i,SY459: $i] :
            ( ( v3_struct_0 @ SV128 )
            | ~ ( v10_lattices @ SV128 )
            | ~ ( v11_lattices @ SV128 )
            | ~ ( l3_lattices @ SV128 )
            | ~ ( m1_filter_0 @ SY458 @ SV128 )
            | ~ ( m1_filter_0 @ SY459 @ SV128 )
            | ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SY458 @ SY459 ) @ SV128 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7277]) ).

thf(7570,plain,
    ! [SV129: $i] :
      ( ( ! [SY460: $i,SY461: $i] :
            ( ( v3_struct_0 @ SV129 )
            | ~ ( v10_lattices @ SV129 )
            | ~ ( v17_lattices @ SV129 )
            | ~ ( l3_lattices @ SV129 )
            | ~ ( m1_filter_0 @ SY460 @ SV129 )
            | ~ ( m1_filter_0 @ SY461 @ SV129 )
            | ( ( k7_filter_0 @ SV129 @ SY460 @ SY461 )
              = ( k5_filter_0 @ SV129 @ SY460 @ SY461 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7278]) ).

thf(7571,plain,
    ! [SV130: $i] :
      ( ( ! [SY462: $i] :
            ( ( v3_struct_0 @ SV130 )
            | ~ ( v10_lattices @ SV130 )
            | ~ ( l3_lattices @ SV130 )
            | ~ ( m1_filter_0 @ SY462 @ SV130 )
            | ( v1_relat_1 @ ( k10_filter_0 @ SV130 @ SY462 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7279]) ).

thf(7572,plain,
    ! [SV131: $i] :
      ( ( ( v3_struct_0 @ SV131 )
        | ~ ( v10_lattices @ SV131 )
        | ~ ( l3_lattices @ SV131 )
        | ! [SY463: $i] :
            ( ~ ( m1_filter_0 @ SY463 @ SV131 )
            | ! [SY464: $i] :
                ( ~ ( m1_filter_0 @ SY464 @ SV131 )
                | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SY463 @ SY464 ) @ SV131 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7283]) ).

thf(7573,plain,
    ! [SV132: $i] :
      ( ( ( v3_struct_0 @ SV132 )
        | ~ ( v10_lattices @ SV132 )
        | ~ ( v3_filter_0 @ SV132 )
        | ~ ( l3_lattices @ SV132 )
        | ! [SY465: $i] :
            ( ~ ( m1_filter_0 @ SY465 @ SV132 )
            | ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SY465 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7284]) ).

thf(7574,plain,
    ! [SV133: $i] :
      ( ( ! [SY466: $i] :
            ( ( v1_xboole_0 @ SV133 )
            | ~ ( v1_relat_1 @ SY466 )
            | ( m1_filter_1 @ ( sK10_C @ SY466 @ SV133 ) @ SV133 @ SY466 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7286]) ).

thf(7575,plain,
    ! [SV134: $i] :
      ( ( ! [SY467: $i] :
            ( ( v1_xboole_0 @ SV134 )
            | ~ ( v1_relat_1 @ SY467 )
            | ( m2_filter_1 @ ( sK9_C @ SY467 @ SV134 ) @ SV134 @ SY467 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7287]) ).

thf(7576,plain,
    ! [SV135: $i] :
      ( ( ! [SY468: $i,SY469: $i] :
            ( ( v3_struct_0 @ SV135 )
            | ~ ( v10_lattices @ SV135 )
            | ~ ( l3_lattices @ SV135 )
            | ~ ( m1_filter_0 @ SY468 @ SV135 )
            | ~ ( m1_filter_0 @ SY469 @ SV135 )
            | ( ( k1_filter_1 @ SV135 @ SY468 @ SY469 )
              = ( k3_xboole_0 @ SY468 @ SY469 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7288]) ).

thf(7577,plain,
    ! [SV136: $i] :
      ( ( ~ ( l1_pre_topc @ SV136 )
        | ! [SY470: $i] :
            ( ~ ( m1_pre_topc @ SY470 @ SV136 )
            | ( r1_tarski @ ( u1_struct_0 @ SY470 ) @ ( u1_struct_0 @ SV136 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7293]) ).

thf(7578,plain,
    ! [SV137: $i] :
      ( ( ~ ( l1_struct_0 @ SV137 )
        | ( m1_eqrel_1 @ ( k15_borsuk_1 @ SV137 ) @ ( u1_struct_0 @ SV137 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7295]) ).

thf(7579,plain,
    ! [SV138: $i] :
      ( ( ! [SY471: $i] :
            ( ~ ( l1_struct_0 @ SV138 )
            | ( v3_struct_0 @ SY471 )
            | ~ ( l1_struct_0 @ SY471 )
            | ~ ( v1_xboole_0 @ ( k17_grcat_1 @ SV138 @ SY471 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7298]) ).

thf(7580,plain,
    ! [SV139: $i] :
      ( ( ! [SY472: $i] :
            ( ~ ( l1_struct_0 @ SV139 )
            | ~ ( l1_struct_0 @ SY472 )
            | ( m5_grcat_1 @ ( sK3_C @ SY472 @ SV139 ) @ SV139 @ SY472 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7300]) ).

thf(7581,plain,
    ! [SV140: $i] :
      ( ( ( v3_struct_0 @ SV140 )
        | ~ ( v10_lattices @ SV140 )
        | ~ ( l3_lattices @ SV140 )
        | ! [SY473: $i] :
            ( ( v3_struct_0 @ SY473 )
            | ~ ( v10_lattices @ SY473 )
            | ~ ( v11_lattices @ SY473 )
            | ~ ( l3_lattices @ SY473 )
            | ! [SY474: $i] :
                ( ~ ( m1_lattice4 @ SY474 @ SY473 @ SV140 )
                | ~ ( v2_lattice4 @ SY474 @ SY473 @ SV140 )
                | ( v11_lattices @ SV140 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7302]) ).

thf(7582,plain,
    ! [SV141: $i] :
      ( ( ( v3_struct_0 @ SV141 )
        | ~ ( v10_lattices @ SV141 )
        | ~ ( v17_lattices @ SV141 )
        | ( v3_realset2 @ SV141 )
        | ~ ( l3_lattices @ SV141 )
        | ( m1_lattice4 @ ( k13_lopclset @ SV141 ) @ SV141 @ ( k12_lopclset @ SV141 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7304]) ).

thf(7583,plain,
    ! [SV142: $i] :
      ( ( ( v3_struct_0 @ SV142 )
        | ~ ( v2_pre_topc @ SV142 )
        | ~ ( l1_pre_topc @ SV142 )
        | ( m1_subset_1 @ ( k2_pre_topc @ SV142 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV142 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7305]) ).

thf(7584,plain,
    ! [SV143: $i] :
      ( ( ( v3_struct_0 @ SV143 )
        | ~ ( v2_pre_topc @ SV143 )
        | ~ ( l1_pre_topc @ SV143 )
        | ( m1_subset_1 @ ( k1_pre_topc @ SV143 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV143 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7306]) ).

thf(7585,plain,
    ! [SV144: $i] :
      ( ( ( v3_struct_0 @ SV144 )
        | ~ ( v10_lattices @ SV144 )
        | ~ ( v17_lattices @ SV144 )
        | ( v3_realset2 @ SV144 )
        | ~ ( l3_lattices @ SV144 )
        | ( ( k10_lopclset @ SV144 )
          = ( k2_relat_1 @ ( k9_lopclset @ SV144 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7307]) ).

thf(7586,plain,
    ! [SV145: $i] :
      ( ( ( v3_struct_0 @ SV145 )
        | ~ ( v10_lattices @ SV145 )
        | ~ ( v17_lattices @ SV145 )
        | ( v3_realset2 @ SV145 )
        | ~ ( l3_lattices @ SV145 )
        | ( ( k3_tarski @ ( k10_lopclset @ SV145 ) )
          = ( k7_lopclset @ SV145 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7308]) ).

thf(7587,plain,
    ! [SV146: $i] :
      ( ( ( v3_struct_0 @ SV146 )
        | ~ ( v10_lattices @ SV146 )
        | ~ ( v17_lattices @ SV146 )
        | ( v3_realset2 @ SV146 )
        | ~ ( l3_lattices @ SV146 )
        | ( r1_tarski @ ( k10_lopclset @ SV146 ) @ ( k1_lopclset @ ( k11_lopclset @ SV146 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7309]) ).

thf(7588,plain,
    ! [SV147: $i] :
      ( ( ( v3_struct_0 @ SV147 )
        | ~ ( v10_lattices @ SV147 )
        | ~ ( v17_lattices @ SV147 )
        | ( v3_realset2 @ SV147 )
        | ~ ( l3_lattices @ SV147 )
        | ( ( k10_lopclset @ SV147 )
          = ( k1_lopclset @ ( k11_lopclset @ SV147 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7310]) ).

thf(7589,plain,
    ! [SV148: $i] :
      ( ( ( v3_struct_0 @ SV148 )
        | ~ ( v10_lattices @ SV148 )
        | ~ ( v17_lattices @ SV148 )
        | ( v3_realset2 @ SV148 )
        | ~ ( l3_lattices @ SV148 )
        | ( ( k2_relat_1 @ ( k13_lopclset @ SV148 ) )
          = ( u1_struct_0 @ ( k12_lopclset @ SV148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7311]) ).

thf(7590,plain,
    ! [SV149: $i] :
      ( ( ( v3_struct_0 @ SV149 )
        | ~ ( v10_lattices @ SV149 )
        | ~ ( v17_lattices @ SV149 )
        | ( v3_realset2 @ SV149 )
        | ~ ( l3_lattices @ SV149 )
        | ( v3_lattice4 @ ( k13_lopclset @ SV149 ) @ SV149 @ ( k12_lopclset @ SV149 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7312]) ).

thf(7591,plain,
    ( ( v3_realset2 @ sK1_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7314]) ).

thf(7592,plain,
    ( ( v3_struct_0 @ sK1_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7317]) ).

thf(7593,plain,
    ! [SV150: $i] :
      ( ( ( v3_struct_0 @ SV150 )
        | ~ ( v2_pre_topc @ SV150 )
        | ~ ( l1_pre_topc @ SV150 )
        | ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV150 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7318]) ).

thf(7594,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK44_A )
      | ~ ( v1_relat_1 @ sK44_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7319]) ).

thf(7595,plain,
    ! [SV151: $i] :
      ( ( ( v3_struct_0 @ SV151 )
        | ~ ( v10_lattices @ SV151 )
        | ~ ( l3_lattices @ SV151 )
        | ~ ( ~ ! [SY475: $i] :
                  ( ( v3_struct_0 @ SY475 )
                  | ~ ( v10_lattices @ SY475 )
                  | ~ ( l3_lattices @ SY475 )
                  | ~ ( v12_lattices @ SV151 )
                  | ~ ( v12_lattices @ SY475 )
                  | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY475 ) ) )
            | ~ ~ ( ~ ! [SY476: $i] :
                        ( ( v3_struct_0 @ SY476 )
                        | ~ ( v10_lattices @ SY476 )
                        | ~ ( l3_lattices @ SY476 )
                        | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                        | ( v12_lattices @ SV151 ) )
                  | ~ ! [SY477: $i] :
                        ( ( v3_struct_0 @ SY477 )
                        | ~ ( v10_lattices @ SY477 )
                        | ~ ( l3_lattices @ SY477 )
                        | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                        | ( v12_lattices @ SY477 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7320]) ).

thf(7596,plain,
    ! [SV152: $i] :
      ( ( ( v3_struct_0 @ SV152 )
        | ~ ( v10_lattices @ SV152 )
        | ~ ( l3_lattices @ SV152 )
        | ~ ( ~ ! [SY478: $i] :
                  ( ( v3_struct_0 @ SY478 )
                  | ~ ( v10_lattices @ SY478 )
                  | ~ ( l3_lattices @ SY478 )
                  | ~ ( r1_filter_1 @ SV152 @ SY478 )
                  | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY478 ) ) )
            | ~ ! [SY479: $i] :
                  ( ( v3_struct_0 @ SY479 )
                  | ~ ( v10_lattices @ SY479 )
                  | ~ ( l3_lattices @ SY479 )
                  | ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY479 ) )
                  | ( r1_filter_1 @ SV152 @ SY479 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7321]) ).

thf(7597,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK35_A )
      | ~ ~ ( v1_realset1 @ sK35_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7322]) ).

thf(7598,plain,
    ! [SV153: $i] :
      ( ( ( v3_struct_0 @ SV153 )
        | ~ ( v2_pre_topc @ SV153 )
        | ~ ( l1_pre_topc @ SV153 )
        | ~ ( ~ ! [SY480: $i] :
                  ( ~ ( m1_borsuk_1 @ SY480 @ SV153 )
                  | ~ ( v1_xboole_0 @ SY480 ) )
            | ~ ! [SY481: $i] :
                  ( ~ ( m1_borsuk_1 @ SY481 @ SV153 )
                  | ( m1_eqrel_1 @ SY481 @ ( u1_struct_0 @ SV153 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7323]) ).

thf(7599,plain,
    ( ( ~ ( l1_pre_topc @ sK71_A )
      | ~ ( v1_pre_topc @ sK71_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7324]) ).

thf(7600,plain,
    ( ( ~ ~ ( ~ ( v1_relat_1 @ sK41_A )
            | ~ ( v1_xboole_0 @ sK41_A ) )
      | ~ ( v1_funct_1 @ sK41_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7325]) ).

thf(7601,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( l3_lattices @ ( k12_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7326]) ).

thf(7602,plain,
    ( ( ~ ( v1_funct_1 @ sK42_A )
      | ~ ( v1_relat_1 @ sK42_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7327]) ).

thf(7603,plain,
    ( ( ~ ( v1_relat_1 @ sK45_A )
      | ~ ( v1_xboole_0 @ sK45_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7328]) ).

thf(7604,plain,
    ( ( ~ ( l1_struct_0 @ sK34_A )
      | ~ ( v1_struct_0 @ sK34_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7329]) ).

thf(7605,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_vectsp_1 @ SX0 )
            | ( l1_rlvect_1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_vectsp_1 @ SX0 )
            | ( l2_vectsp_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7330]) ).

thf(7606,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( l1_pre_topc @ SX0 )
                  | ( v3_struct_0 @ SX1 )
                  | ~ ( v2_pre_topc @ SX1 )
                  | ~ ( l1_pre_topc @ SX1 )
                  | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( l1_pre_topc @ SX0 )
                  | ( v3_struct_0 @ SX1 )
                  | ~ ( v2_pre_topc @ SX1 )
                  | ~ ( l1_pre_topc @ SX1 )
                  | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7331]) ).

thf(7607,plain,
    ! [SV154: $i] :
      ( ( ~ ( l1_pre_topc @ SV154 )
        | ~ ( ~ ( m1_pre_topc @ ( sK69_B @ SV154 ) @ SV154 )
            | ~ ( v1_pre_topc @ ( sK69_B @ SV154 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7332]) ).

thf(7608,plain,
    ( ( ~ ~ ( ~ ( l1_rlvect_1 @ sK58_A )
            | ~ ~ ( v3_struct_0 @ sK58_A ) )
      | ~ ( v13_vectsp_1 @ sK58_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7333]) ).

thf(7609,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( l1_pre_topc @ sK70_A )
                  | ~ ~ ( v3_struct_0 @ sK70_A ) )
            | ~ ( v1_pre_topc @ sK70_A ) )
      | ~ ( v2_pre_topc @ sK70_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7334]) ).

thf(7610,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( v1_relat_1 @ SX1 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ( v1_relat_1 @ ( k5_relat_1 @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( v1_relat_1 @ SX1 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ( v1_xboole_0 @ ( k5_relat_1 @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7335]) ).

thf(7611,plain,
    ! [SV155: $i] :
      ( ( ~ ( l1_pre_topc @ SV155 )
        | ~ ( v2_pre_topc @ SV155 )
        | ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 )
                  | ~ ( v1_pre_topc @ ( sK67_B @ SV155 ) ) )
            | ~ ( v2_pre_topc @ ( sK67_B @ SV155 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7336]) ).

thf(7612,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 != k1_xboole_0 )
            | ( v1_xboole_0 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( SX0 = k1_xboole_0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7337]) ).

thf(7613,plain,
    ( ( ~ ~ ( ~ ( l1_vectsp_1 @ sK61_A )
            | ~ ~ ( v3_struct_0 @ sK61_A ) )
      | ~ ( v1_vectsp_1 @ sK61_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7338]) ).

thf(7614,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l1_struct_0 @ SX0 )
            | ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l1_struct_0 @ SX0 )
            | ( v1_setfam_1 @ ( k15_borsuk_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7339]) ).

thf(7615,plain,
    ! [SV156: $i] :
      ( ( ( v3_struct_0 @ SV156 )
        | ~ ( v10_lattices @ SV156 )
        | ~ ( l3_lattices @ SV156 )
        | ~ ( ~ ! [SY482: $i] :
                  ( ( v3_struct_0 @ SY482 )
                  | ~ ( v10_lattices @ SY482 )
                  | ~ ( l3_lattices @ SY482 )
                  | ! [SY483: $i] :
                      ( ~ ( m1_lattice4 @ SY483 @ SV156 @ SY482 )
                      | ~ ( v3_lattice4 @ SY483 @ SV156 @ SY482 ) )
                  | ( r1_filter_1 @ SV156 @ SY482 ) )
            | ~ ! [SY484: $i] :
                  ( ( v3_struct_0 @ SY484 )
                  | ~ ( v10_lattices @ SY484 )
                  | ~ ( l3_lattices @ SY484 )
                  | ~ ( r1_filter_1 @ SV156 @ SY484 )
                  | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 )
                      | ~ ( v3_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7340]) ).

thf(7616,plain,
    ( ( ~ ~ ( ~ ( v1_funct_1 @ sK40_A )
            | ~ ( v1_relat_1 @ sK40_A ) )
      | ~ ( v2_funct_1 @ sK40_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7341]) ).

thf(7617,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v15_lattices @ SX0 )
                  | ~ ( v3_struct_0 @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v15_lattices @ SX0 )
                  | ( v13_lattices @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ( v14_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7342]) ).

thf(7618,plain,
    ! [SV157: $i] :
      ( ( ( v3_struct_0 @ SV157 )
        | ~ ( v10_lattices @ SV157 )
        | ~ ( l3_lattices @ SV157 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                                    ( ( v3_struct_0 @ SY485 )
                                    | ~ ( v10_lattices @ SY485 )
                                    | ~ ( l3_lattices @ SY485 )
                                    | ( v3_struct_0 @ SV157 )
                                    | ~ ( v10_lattices @ SV157 )
                                    | ~ ( v17_lattices @ SV157 )
                                    | ~ ( l3_lattices @ SV157 )
                                    | ( v3_struct_0 @ SY485 )
                                    | ~ ( v10_lattices @ SY485 )
                                    | ~ ( v17_lattices @ SY485 )
                                    | ~ ( l3_lattices @ SY485 )
                                    | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                              | ~ ! [SY486: $i] :
                                    ( ( v3_struct_0 @ SY486 )
                                    | ~ ( v10_lattices @ SY486 )
                                    | ~ ( l3_lattices @ SY486 )
                                    | ( v3_struct_0 @ SV157 )
                                    | ~ ( v10_lattices @ SV157 )
                                    | ~ ( v17_lattices @ SV157 )
                                    | ~ ( l3_lattices @ SV157 )
                                    | ( v3_struct_0 @ SY486 )
                                    | ~ ( v10_lattices @ SY486 )
                                    | ~ ( v17_lattices @ SY486 )
                                    | ~ ( l3_lattices @ SY486 )
                                    | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                        | ~ ! [SY487: $i] :
                              ( ( v3_struct_0 @ SY487 )
                              | ~ ( v10_lattices @ SY487 )
                              | ~ ( l3_lattices @ SY487 )
                              | ( v3_struct_0 @ SV157 )
                              | ~ ( v10_lattices @ SV157 )
                              | ~ ( v17_lattices @ SV157 )
                              | ~ ( l3_lattices @ SV157 )
                              | ( v3_struct_0 @ SY487 )
                              | ~ ( v10_lattices @ SY487 )
                              | ~ ( v17_lattices @ SY487 )
                              | ~ ( l3_lattices @ SY487 )
                              | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
                  | ~ ! [SY488: $i] :
                        ( ( v3_struct_0 @ SY488 )
                        | ~ ( v10_lattices @ SY488 )
                        | ~ ( l3_lattices @ SY488 )
                        | ( v3_struct_0 @ SV157 )
                        | ~ ( v10_lattices @ SV157 )
                        | ~ ( v17_lattices @ SV157 )
                        | ~ ( l3_lattices @ SV157 )
                        | ( v3_struct_0 @ SY488 )
                        | ~ ( v10_lattices @ SY488 )
                        | ~ ( v17_lattices @ SY488 )
                        | ~ ( l3_lattices @ SY488 )
                        | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                            ( ( v3_struct_0 @ SY489 )
                                                            | ~ ( v10_lattices @ SY489 )
                                                            | ~ ( l3_lattices @ SY489 )
                                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                            | ~ ( v3_struct_0 @ SV157 ) )
                                                      | ~ ! [SY490: $i] :
                                                            ( ( v3_struct_0 @ SY490 )
                                                            | ~ ( v10_lattices @ SY490 )
                                                            | ~ ( l3_lattices @ SY490 )
                                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                            | ( v10_lattices @ SV157 ) ) )
                                                | ~ ! [SY491: $i] :
                                                      ( ( v3_struct_0 @ SY491 )
                                                      | ~ ( v10_lattices @ SY491 )
                                                      | ~ ( l3_lattices @ SY491 )
                                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                      | ( v17_lattices @ SV157 ) ) )
                                          | ~ ! [SY492: $i] :
                                                ( ( v3_struct_0 @ SY492 )
                                                | ~ ( v10_lattices @ SY492 )
                                                | ~ ( l3_lattices @ SY492 )
                                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                | ( l3_lattices @ SV157 ) ) )
                                    | ~ ! [SY493: $i] :
                                          ( ( v3_struct_0 @ SY493 )
                                          | ~ ( v10_lattices @ SY493 )
                                          | ~ ( l3_lattices @ SY493 )
                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                          | ~ ( v3_struct_0 @ SY493 ) ) )
                              | ~ ! [SY494: $i] :
                                    ( ( v3_struct_0 @ SY494 )
                                    | ~ ( v10_lattices @ SY494 )
                                    | ~ ( l3_lattices @ SY494 )
                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                    | ( v10_lattices @ SY494 ) ) )
                        | ~ ! [SY495: $i] :
                              ( ( v3_struct_0 @ SY495 )
                              | ~ ( v10_lattices @ SY495 )
                              | ~ ( l3_lattices @ SY495 )
                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                              | ( v17_lattices @ SY495 ) ) )
                  | ~ ! [SY496: $i] :
                        ( ( v3_struct_0 @ SY496 )
                        | ~ ( v10_lattices @ SY496 )
                        | ~ ( l3_lattices @ SY496 )
                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                        | ( l3_lattices @ SY496 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7343]) ).

thf(7619,plain,
    ! [SV158: $i] :
      ( ( ( v3_struct_0 @ SV158 )
        | ~ ( v10_lattices @ SV158 )
        | ~ ( l3_lattices @ SV158 )
        | ~ ( ~ ! [SY497: $i] :
                  ( ( v3_struct_0 @ SY497 )
                  | ~ ( v10_lattices @ SY497 )
                  | ~ ( l3_lattices @ SY497 )
                  | ~ ( v3_filter_0 @ SV158 )
                  | ~ ( v3_filter_0 @ SY497 )
                  | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY497 ) ) )
            | ~ ~ ( ~ ! [SY498: $i] :
                        ( ( v3_struct_0 @ SY498 )
                        | ~ ( v10_lattices @ SY498 )
                        | ~ ( l3_lattices @ SY498 )
                        | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                        | ( v3_filter_0 @ SV158 ) )
                  | ~ ! [SY499: $i] :
                        ( ( v3_struct_0 @ SY499 )
                        | ~ ( v10_lattices @ SY499 )
                        | ~ ( l3_lattices @ SY499 )
                        | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                        | ( v3_filter_0 @ SY499 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7344]) ).

thf(7620,plain,
    ( ( ~ ( l3_vectsp_1 @ sK18_A )
      | ~ ( v3_vectsp_1 @ sK18_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7345]) ).

thf(7621,plain,
    ( ( ~ ( l2_rlvect_1 @ sK64_A )
      | ~ ~ ( v3_struct_0 @ sK64_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7346]) ).

thf(7622,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_relat_1 @ ( k1_relat_1 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_xboole_0 @ ( k1_relat_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7347]) ).

thf(7623,plain,
    ! [SV159: $i] :
      ( ( ! [SY500: $i] :
            ( ~ ( l1_struct_0 @ SV159 )
            | ( v3_struct_0 @ SY500 )
            | ~ ( l1_struct_0 @ SY500 )
            | ~ ( ~ ( m5_grcat_1 @ ( sK4_C @ SY500 @ SV159 ) @ SV159 @ SY500 )
                | ~ ~ ( v1_xboole_0 @ ( sK4_C @ SY500 @ SV159 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7348]) ).

thf(7624,plain,
    ( ( ~ ~ ( ~ ( l3_lattices @ sK73_A )
            | ~ ~ ( v3_struct_0 @ sK73_A ) )
      | ~ ( v3_lattices @ sK73_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7349]) ).

thf(7625,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( l3_lattices @ SX1 )
            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( l3_lattices @ SX1 )
            | ( v3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7350]) ).

thf(7626,plain,
    ! [SV160: $i] :
      ( ( ( v3_struct_0 @ SV160 )
        | ~ ( l3_lattices @ SV160 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                                          ( ( v3_struct_0 @ SY501 )
                                          | ~ ( l3_lattices @ SY501 )
                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                          | ~ ( v3_struct_0 @ SV160 ) )
                                    | ~ ! [SY502: $i] :
                                          ( ( v3_struct_0 @ SY502 )
                                          | ~ ( l3_lattices @ SY502 )
                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                          | ( v10_lattices @ SV160 ) ) )
                              | ~ ! [SY503: $i] :
                                    ( ( v3_struct_0 @ SY503 )
                                    | ~ ( l3_lattices @ SY503 )
                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                    | ( l3_lattices @ SV160 ) ) )
                        | ~ ! [SY504: $i] :
                              ( ( v3_struct_0 @ SY504 )
                              | ~ ( l3_lattices @ SY504 )
                              | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                              | ~ ( v3_struct_0 @ SY504 ) ) )
                  | ~ ! [SY505: $i] :
                        ( ( v3_struct_0 @ SY505 )
                        | ~ ( l3_lattices @ SY505 )
                        | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY505 ) )
                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                        | ( v10_lattices @ SY505 ) ) )
            | ~ ! [SY506: $i] :
                  ( ( v3_struct_0 @ SY506 )
                  | ~ ( l3_lattices @ SY506 )
                  | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY506 ) )
                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                  | ( l3_lattices @ SY506 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7351]) ).

thf(7627,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v1_realset1 @ ( u1_struct_0 @ SX0 ) )
            | ( v3_realset2 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v3_realset2 @ SX0 )
            | ( v1_realset1 @ ( u1_struct_0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7352]) ).

thf(7628,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( l3_lattices @ SX1 )
            | ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( l3_lattices @ SX1 )
            | ( v3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7353]) ).

thf(7629,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v1_finset_1 @ ( u1_struct_0 @ SX0 ) )
            | ( v6_group_1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v6_group_1 @ SX0 )
            | ( v1_finset_1 @ ( u1_struct_0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7354]) ).

thf(7630,plain,
    ( ( ~ ( l1_struct_0 @ sK78_A )
      | ~ ~ ( v3_struct_0 @ sK78_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7355]) ).

thf(7631,plain,
    ! [SV161: $i] :
      ( ( ( v3_struct_0 @ SV161 )
        | ~ ( v10_lattices @ SV161 )
        | ~ ( v17_lattices @ SV161 )
        | ~ ( l3_lattices @ SV161 )
        | ~ ( ~ ! [SY507: $i] :
                  ( ~ ( m1_filter_0 @ SY507 @ SV161 )
                  | ( SY507
                    = ( k1_filter_0 @ SV161 ) )
                  | ~ ( v2_filter_0 @ SY507 @ SV161 )
                  | ( v1_filter_0 @ SY507 @ SV161 ) )
            | ~ ~ ( ~ ! [SY508: $i] :
                        ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                        | ~ ( v1_filter_0 @ SY508 @ SV161 )
                        | ( SY508
                         != ( k1_filter_0 @ SV161 ) ) )
                  | ~ ! [SY509: $i] :
                        ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                        | ~ ( v1_filter_0 @ SY509 @ SV161 )
                        | ( v2_filter_0 @ SY509 @ SV161 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7356]) ).

thf(7632,plain,
    ( ( ~ ~ ( ~ ( l3_vectsp_1 @ sK13_A )
            | ~ ( v3_vectsp_1 @ sK13_A ) )
      | ~ ( v4_realset2 @ sK13_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7357]) ).

thf(7633,plain,
    ( ( ~ ( l2_struct_0 @ sK77_A )
      | ~ ~ ( v3_struct_0 @ sK77_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7358]) ).

thf(7634,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK37_A )
      | ~ ( v1_fraenkel @ sK37_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7359]) ).

thf(7635,plain,
    ( ( ~ ~ ( ~ ( l2_vectsp_1 @ sK60_A )
            | ~ ~ ( v3_struct_0 @ sK60_A ) )
      | ~ ( v2_vectsp_1 @ sK60_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7360]) ).

thf(7636,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( l1_lattices @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( l2_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7361]) ).

thf(7637,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v13_lattices @ SX0 )
            | ~ ( v14_lattices @ SX0 )
            | ~ ( v3_struct_0 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v13_lattices @ SX0 )
            | ~ ( v14_lattices @ SX0 )
            | ( v15_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7362]) ).

thf(7638,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK5_A )
      | ~ ( v5_grcat_1 @ sK5_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7363]) ).

thf(7639,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v13_lattices @ ( k1_lattice2 @ SX0 ) )
            | ( v14_lattices @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v14_lattices @ SX0 )
            | ( v13_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7364]) ).

thf(7640,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v13_lattices @ SX0 )
            | ~ ( v14_lattices @ SX0 )
            | ( v15_lattices @ SX0 ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v15_lattices @ SX0 )
                  | ( v13_lattices @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v15_lattices @ SX0 )
                  | ( v14_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7365]) ).

thf(7641,plain,
    ( ( ~ ( l3_vectsp_1 @ k3_vectsp_1 )
      | ~ ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7366]) ).

thf(7642,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v1_xboole_0 @ ( u1_struct_0 @ SX0 ) )
            | ( v3_struct_0 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v3_struct_0 @ SX0 )
            | ( v1_xboole_0 @ ( u1_struct_0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7367]) ).

thf(7643,plain,
    ( ( ~ ~ ( v3_struct_0 @ k3_vectsp_1 )
      | ~ ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7368]) ).

thf(7644,plain,
    ! [SV162: $i] :
      ( ( ( v3_struct_0 @ SV162 )
        | ~ ( v10_lattices @ SV162 )
        | ~ ( v17_lattices @ SV162 )
        | ~ ( l3_lattices @ SV162 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ! [SY510: $i] :
                              ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                              | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                        | ~ ! [SY511: $i] :
                              ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                              | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
                  | ~ ! [SY512: $i] :
                        ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                        | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
            | ~ ! [SY513: $i] :
                  ( ~ ( m1_filter_0 @ SY513 @ SV162 )
                  | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7369]) ).

thf(7645,plain,
    ! [SV163: $i] :
      ( ( ( v3_struct_0 @ SV163 )
        | ~ ( v2_pre_topc @ SV163 )
        | ~ ( l1_pre_topc @ SV163 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                              | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                        | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
                  | ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) )
            | ~ ( v1_borsuk_1 @ ( sK7_B @ SV163 ) @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7370]) ).

thf(7646,plain,
    ( ( ~ ( l2_vectsp_1 @ sK19_A )
      | ~ ( v2_vectsp_1 @ sK19_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7371]) ).

thf(7647,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK38_A )
      | ~ ( v1_finset_1 @ sK38_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7372]) ).

thf(7648,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v1_funct_1 @ ( k8_lopclset @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v1_relat_1 @ ( k8_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7373]) ).

thf(7649,plain,
    ( ( ~ ~ ( ~ ( l3_vectsp_1 @ sK56_A )
            | ~ ( v3_vectsp_1 @ sK56_A ) )
      | ~ ~ ( v3_realset2 @ sK56_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7374]) ).

thf(7650,plain,
    ( ( ~ ( l1_rlvect_1 @ k1_vectsp_1 )
      | ~ ( v1_rlvect_1 @ k1_vectsp_1 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7375]) ).

thf(7651,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_relat_1 @ ( k4_relat_1 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_xboole_0 @ ( k4_relat_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7376]) ).

thf(7652,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_relat_1 @ ( k2_relat_1 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_xboole_0 @ ( k2_relat_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7377]) ).

thf(7653,plain,
    ! [SV164: $i] :
      ( ( ( v3_struct_0 @ SV164 )
        | ~ ( v10_lattices @ SV164 )
        | ~ ( l3_lattices @ SV164 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                                    ( ( v3_struct_0 @ SY514 )
                                    | ~ ( v10_lattices @ SY514 )
                                    | ~ ( l3_lattices @ SY514 )
                                    | ( v3_struct_0 @ SV164 )
                                    | ~ ( v10_lattices @ SV164 )
                                    | ~ ( v11_lattices @ SV164 )
                                    | ~ ( l3_lattices @ SV164 )
                                    | ( v3_struct_0 @ SY514 )
                                    | ~ ( v10_lattices @ SY514 )
                                    | ~ ( v11_lattices @ SY514 )
                                    | ~ ( l3_lattices @ SY514 )
                                    | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                              | ~ ! [SY515: $i] :
                                    ( ( v3_struct_0 @ SY515 )
                                    | ~ ( v10_lattices @ SY515 )
                                    | ~ ( l3_lattices @ SY515 )
                                    | ( v3_struct_0 @ SV164 )
                                    | ~ ( v10_lattices @ SV164 )
                                    | ~ ( v11_lattices @ SV164 )
                                    | ~ ( l3_lattices @ SV164 )
                                    | ( v3_struct_0 @ SY515 )
                                    | ~ ( v10_lattices @ SY515 )
                                    | ~ ( v11_lattices @ SY515 )
                                    | ~ ( l3_lattices @ SY515 )
                                    | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                        | ~ ! [SY516: $i] :
                              ( ( v3_struct_0 @ SY516 )
                              | ~ ( v10_lattices @ SY516 )
                              | ~ ( l3_lattices @ SY516 )
                              | ( v3_struct_0 @ SV164 )
                              | ~ ( v10_lattices @ SV164 )
                              | ~ ( v11_lattices @ SV164 )
                              | ~ ( l3_lattices @ SV164 )
                              | ( v3_struct_0 @ SY516 )
                              | ~ ( v10_lattices @ SY516 )
                              | ~ ( v11_lattices @ SY516 )
                              | ~ ( l3_lattices @ SY516 )
                              | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
                  | ~ ! [SY517: $i] :
                        ( ( v3_struct_0 @ SY517 )
                        | ~ ( v10_lattices @ SY517 )
                        | ~ ( l3_lattices @ SY517 )
                        | ( v3_struct_0 @ SV164 )
                        | ~ ( v10_lattices @ SV164 )
                        | ~ ( v11_lattices @ SV164 )
                        | ~ ( l3_lattices @ SV164 )
                        | ( v3_struct_0 @ SY517 )
                        | ~ ( v10_lattices @ SY517 )
                        | ~ ( v11_lattices @ SY517 )
                        | ~ ( l3_lattices @ SY517 )
                        | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                            ( ( v3_struct_0 @ SY518 )
                                                            | ~ ( v10_lattices @ SY518 )
                                                            | ~ ( l3_lattices @ SY518 )
                                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                            | ~ ( v3_struct_0 @ SV164 ) )
                                                      | ~ ! [SY519: $i] :
                                                            ( ( v3_struct_0 @ SY519 )
                                                            | ~ ( v10_lattices @ SY519 )
                                                            | ~ ( l3_lattices @ SY519 )
                                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                            | ( v10_lattices @ SV164 ) ) )
                                                | ~ ! [SY520: $i] :
                                                      ( ( v3_struct_0 @ SY520 )
                                                      | ~ ( v10_lattices @ SY520 )
                                                      | ~ ( l3_lattices @ SY520 )
                                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                      | ( v11_lattices @ SV164 ) ) )
                                          | ~ ! [SY521: $i] :
                                                ( ( v3_struct_0 @ SY521 )
                                                | ~ ( v10_lattices @ SY521 )
                                                | ~ ( l3_lattices @ SY521 )
                                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                | ( l3_lattices @ SV164 ) ) )
                                    | ~ ! [SY522: $i] :
                                          ( ( v3_struct_0 @ SY522 )
                                          | ~ ( v10_lattices @ SY522 )
                                          | ~ ( l3_lattices @ SY522 )
                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                          | ~ ( v3_struct_0 @ SY522 ) ) )
                              | ~ ! [SY523: $i] :
                                    ( ( v3_struct_0 @ SY523 )
                                    | ~ ( v10_lattices @ SY523 )
                                    | ~ ( l3_lattices @ SY523 )
                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                    | ( v10_lattices @ SY523 ) ) )
                        | ~ ! [SY524: $i] :
                              ( ( v3_struct_0 @ SY524 )
                              | ~ ( v10_lattices @ SY524 )
                              | ~ ( l3_lattices @ SY524 )
                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                              | ( v11_lattices @ SY524 ) ) )
                  | ~ ! [SY525: $i] :
                        ( ( v3_struct_0 @ SY525 )
                        | ~ ( v10_lattices @ SY525 )
                        | ~ ( l3_lattices @ SY525 )
                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                        | ( l3_lattices @ SY525 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7378]) ).

thf(7654,plain,
    ! [SV165: $i] :
      ( ( ( v3_struct_0 @ SV165 )
        | ~ ( v10_lattices @ SV165 )
        | ~ ( l3_lattices @ SV165 )
        | ~ ( ~ ! [SY526: $i] :
                  ( ( v3_struct_0 @ SY526 )
                  | ~ ( v10_lattices @ SY526 )
                  | ~ ( l3_lattices @ SY526 )
                  | ~ ( v15_lattices @ SV165 )
                  | ~ ( v15_lattices @ SY526 )
                  | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY526 ) ) )
            | ~ ~ ( ~ ! [SY527: $i] :
                        ( ( v3_struct_0 @ SY527 )
                        | ~ ( v10_lattices @ SY527 )
                        | ~ ( l3_lattices @ SY527 )
                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                        | ( v15_lattices @ SV165 ) )
                  | ~ ! [SY528: $i] :
                        ( ( v3_struct_0 @ SY528 )
                        | ~ ( v10_lattices @ SY528 )
                        | ~ ( l3_lattices @ SY528 )
                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                        | ( v15_lattices @ SY528 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7379]) ).

thf(7655,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7380]) ).

thf(7656,plain,
    ! [SV166: $i] :
      ( ( ( v3_struct_0 @ SV166 )
        | ~ ( l1_pre_topc @ SV166 )
        | ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK68_B @ SV166 ) @ SV166 )
                  | ~ ~ ( v3_struct_0 @ ( sK68_B @ SV166 ) ) )
            | ~ ( v1_pre_topc @ ( sK68_B @ SV166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7381]) ).

thf(7657,plain,
    ! [SV167: $i] :
      ( ( ~ ( l1_pre_topc @ SV167 )
        | ~ ( v2_pre_topc @ SV167 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
                        | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
                  | ~ ( v2_pre_topc @ ( sK8_B @ SV167 ) ) )
            | ~ ( v1_borsuk_1 @ ( sK8_B @ SV167 ) @ SV167 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7382]) ).

thf(7658,plain,
    ( ( ~ ( l1_group_1 @ sK22_A )
      | ~ ( v1_group_1 @ sK22_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7383]) ).

thf(7659,plain,
    ( ( ~ ~ ( ~ ( l3_vectsp_1 @ sK59_A )
            | ~ ~ ( v3_struct_0 @ sK59_A ) )
      | ~ ( v3_vectsp_1 @ sK59_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7384]) ).

thf(7660,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v13_lattices @ SX0 )
            | ~ ( v3_filter_0 @ SX0 )
            | ( v1_lattice2 @ SX0 ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v1_lattice2 @ SX0 )
                  | ( v13_lattices @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v1_lattice2 @ SX0 )
                  | ( v3_filter_0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7385]) ).

thf(7661,plain,
    ( ( ~ ( v1_relat_1 @ sK43_A )
      | ~ ( v3_relat_1 @ sK43_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7386]) ).

thf(7662,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7387]) ).

thf(7663,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v6_group_1 @ SX0 )
            | ( v6_group_1 @ ( k1_lattice2 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v6_group_1 @ ( k1_lattice2 @ SX0 ) )
            | ( v6_group_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7388]) ).

thf(7664,plain,
    ( ( ~ ~ ( v3_struct_0 @ k1_vectsp_1 )
      | ~ ( v1_rlvect_1 @ k1_vectsp_1 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7389]) ).

thf(7665,plain,
    ! [SV168: $i] :
      ( ( ( v3_struct_0 @ SV168 )
        | ~ ( v10_lattices @ SV168 )
        | ~ ( l3_lattices @ SV168 )
        | ~ ( ~ ! [SY529: $i] :
                  ( ( v3_struct_0 @ SY529 )
                  | ~ ( v10_lattices @ SY529 )
                  | ~ ( l3_lattices @ SY529 )
                  | ~ ( v14_lattices @ SV168 )
                  | ~ ( v14_lattices @ SY529 )
                  | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY529 ) ) )
            | ~ ~ ( ~ ! [SY530: $i] :
                        ( ( v3_struct_0 @ SY530 )
                        | ~ ( v10_lattices @ SY530 )
                        | ~ ( l3_lattices @ SY530 )
                        | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                        | ( v14_lattices @ SV168 ) )
                  | ~ ! [SY531: $i] :
                        ( ( v3_struct_0 @ SY531 )
                        | ~ ( v10_lattices @ SY531 )
                        | ~ ( l3_lattices @ SY531 )
                        | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                        | ( v14_lattices @ SY531 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7390]) ).

thf(7666,plain,
    ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ k22_borsuk_1 )
            | ~ ( v1_pre_topc @ k22_borsuk_1 ) )
      | ~ ( v2_pre_topc @ k22_borsuk_1 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7391]) ).

thf(7667,plain,
    ( ( ~ ( l2_rlvect_1 @ sK25_A )
      | ~ ( v2_rlvect_1 @ sK25_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7392]) ).

thf(7668,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK36_A )
      | ~ ( v1_realset1 @ sK36_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7393]) ).

thf(7669,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l2_vectsp_1 @ SX0 )
            | ( l1_vectsp_1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l2_vectsp_1 @ SX0 )
            | ( l2_struct_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7394]) ).

thf(7670,plain,
    ( ( ~ ~ ( ~ ( l1_lattices @ sK74_A )
            | ~ ~ ( v3_struct_0 @ sK74_A ) )
      | ~ ( v1_lattices @ sK74_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7395]) ).

thf(7671,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ~ ( m1_filter_0 @ SX1 @ SX0 )
                        | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) )
                  | ~ ! [SX0: $i,SX1: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ~ ( m1_filter_0 @ SX1 @ SX0 )
                        | ( v3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( m1_filter_0 @ SX1 @ SX0 )
                  | ( v10_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ( l3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7396]) ).

thf(7672,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ( v3_pre_topc @ ( k2_pre_topc @ SX0 ) @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l1_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ( v4_pre_topc @ ( k2_pre_topc @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7397]) ).

thf(7673,plain,
    ( ( ~ ~ ( ~ ( l2_lattices @ sK75_A )
            | ~ ~ ( v3_struct_0 @ sK75_A ) )
      | ~ ( v2_lattices @ sK75_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7398]) ).

thf(7674,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK6_A )
      | ~ ( v4_grcat_1 @ sK6_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7399]) ).

thf(7675,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( l1_pre_topc @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( v2_pre_topc @ SX1 )
                  | ~ ( l1_pre_topc @ SX1 )
                  | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( l1_pre_topc @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( v2_pre_topc @ SX1 )
                  | ~ ( l1_pre_topc @ SX1 )
                  | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( l1_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ( l1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7400]) ).

thf(7676,plain,
    ( ( ~ ~ ( ~ ( l1_group_1 @ sK62_A )
            | ~ ~ ( v3_struct_0 @ sK62_A ) )
      | ~ ( v1_group_1 @ sK62_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7401]) ).

thf(7677,plain,
    ( ( ~ ( v1_relat_1 @ k1_xboole_0 )
      | ~ ( v1_xboole_0 @ k1_xboole_0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7402]) ).

thf(7678,plain,
    ( ( ~ ( l3_lattices @ sK76_A )
      | ~ ( v3_lattices @ sK76_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7403]) ).

thf(7679,plain,
    ( ( ~ ( l2_struct_0 @ sK33_A )
      | ~ ( v2_struct_0 @ sK33_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7404]) ).

thf(7680,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ~ ( v16_lattices @ SX0 )
            | ~ ( v3_struct_0 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ~ ( v16_lattices @ SX0 )
            | ( v17_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7405]) ).

thf(7681,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( l1_pre_topc @ SX0 )
                  | ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( l1_pre_topc @ SX0 )
                  | ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ( l3_lattices @ ( k6_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7406]) ).

thf(7682,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( v1_relat_1 @ SX0 )
                  | ~ ( v1_xboole_0 @ SX0 )
                  | ~ ( v1_funct_1 @ SX0 )
                  | ( v1_funct_1 @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( v1_relat_1 @ SX0 )
                  | ~ ( v1_xboole_0 @ SX0 )
                  | ~ ( v1_funct_1 @ SX0 )
                  | ( v1_relat_1 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( v1_relat_1 @ SX0 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ~ ( v1_funct_1 @ SX0 )
            | ( v2_funct_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7407]) ).

thf(7683,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7408]) ).

thf(7684,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( v1_relat_1 @ SX1 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ( v1_relat_1 @ ( k5_relat_1 @ SX0 @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( v1_relat_1 @ SX1 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ( v1_xboole_0 @ ( k5_relat_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7409]) ).

thf(7685,plain,
    ( ( ~ ( l1_rlvect_1 @ sK26_A )
      | ~ ( v1_rlvect_1 @ sK26_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7410]) ).

thf(7686,plain,
    ( ( ~ ( l1_vectsp_1 @ sK20_A )
      | ~ ( v1_vectsp_1 @ sK20_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7411]) ).

thf(7687,plain,
    ( ( ~ ( l1_lattices @ sK30_A )
      | ~ ( v1_lattices @ sK30_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7412]) ).

thf(7688,plain,
    ! [SV169: $i] :
      ( ( ( v3_struct_0 @ SV169 )
        | ~ ( v10_lattices @ SV169 )
        | ~ ( l3_lattices @ SV169 )
        | ~ ( ~ ! [SY532: $i] :
                  ( ( v3_struct_0 @ SY532 )
                  | ~ ( v10_lattices @ SY532 )
                  | ~ ( l3_lattices @ SY532 )
                  | ~ ( v13_lattices @ SV169 )
                  | ~ ( v13_lattices @ SY532 )
                  | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY532 ) ) )
            | ~ ~ ( ~ ! [SY533: $i] :
                        ( ( v3_struct_0 @ SY533 )
                        | ~ ( v10_lattices @ SY533 )
                        | ~ ( l3_lattices @ SY533 )
                        | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                        | ( v13_lattices @ SV169 ) )
                  | ~ ! [SY534: $i] :
                        ( ( v3_struct_0 @ SY534 )
                        | ~ ( v10_lattices @ SY534 )
                        | ~ ( l3_lattices @ SY534 )
                        | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                        | ( v13_lattices @ SY534 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7413]) ).

thf(7689,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( l1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7414]) ).

thf(7690,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK39_A )
                  | ~ ( v1_relat_1 @ sK39_A ) )
            | ~ ( v2_funct_1 @ sK39_A ) )
      | ~ ( v1_xboole_0 @ sK39_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7415]) ).

thf(7691,plain,
    ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ k3_vectsp_1 )
            | ~ ( v2_group_1 @ k3_vectsp_1 ) )
      | ~ ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7416]) ).

thf(7692,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                    ( ~ ( l3_lattices @ SX0 )
                                    | ( v3_struct_0 @ SX0 )
                                    | ~ ( v17_lattices @ SX0 )
                                    | ~ ( v3_struct_0 @ SX0 ) )
                              | ~ ! [SX0: $i] :
                                    ( ~ ( l3_lattices @ SX0 )
                                    | ( v3_struct_0 @ SX0 )
                                    | ~ ( v17_lattices @ SX0 )
                                    | ( v11_lattices @ SX0 ) ) )
                        | ~ ! [SX0: $i] :
                              ( ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ SX0 )
                              | ~ ( v17_lattices @ SX0 )
                              | ( v13_lattices @ SX0 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ( v14_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v15_lattices @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v16_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7417]) ).

thf(7693,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v13_lattices @ SX0 )
            | ( v14_lattices @ ( k1_lattice2 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v14_lattices @ ( k1_lattice2 @ SX0 ) )
            | ( v13_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7418]) ).

thf(7694,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SX0 ) @ ( u1_struct_0 @ SX0 ) )
                | ~ ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SX0 ) @ ( u1_struct_0 @ SX0 ) )
                      | ~ ( ( ( sK11_B @ SX0 )
                           != ( sK12_SY394 @ SX0 ) ) ) ) )
            | ( v3_realset2 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v3_realset2 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
                | ! [SX2: $i] :
                    ( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
                    | ( SX1 = SX2 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7419]) ).

thf(7695,plain,
    ! [SV170: $i] :
      ( ( ( v3_struct_0 @ SV170 )
        | ~ ( v10_lattices @ SV170 )
        | ~ ( l3_lattices @ SV170 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                          ( ( v3_struct_0 @ SY535 )
                                          | ~ ( v10_lattices @ SY535 )
                                          | ~ ( l3_lattices @ SY535 )
                                          | ( v3_struct_0 @ SV170 )
                                          | ~ ( v10_lattices @ SV170 )
                                          | ~ ( v15_lattices @ SV170 )
                                          | ~ ( v16_lattices @ SV170 )
                                          | ~ ( l3_lattices @ SV170 )
                                          | ( v3_struct_0 @ SY535 )
                                          | ~ ( v10_lattices @ SY535 )
                                          | ~ ( v15_lattices @ SY535 )
                                          | ~ ( v16_lattices @ SY535 )
                                          | ~ ( l3_lattices @ SY535 )
                                          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                                    | ~ ! [SY536: $i] :
                                          ( ( v3_struct_0 @ SY536 )
                                          | ~ ( v10_lattices @ SY536 )
                                          | ~ ( l3_lattices @ SY536 )
                                          | ( v3_struct_0 @ SV170 )
                                          | ~ ( v10_lattices @ SV170 )
                                          | ~ ( v15_lattices @ SV170 )
                                          | ~ ( v16_lattices @ SV170 )
                                          | ~ ( l3_lattices @ SV170 )
                                          | ( v3_struct_0 @ SY536 )
                                          | ~ ( v10_lattices @ SY536 )
                                          | ~ ( v15_lattices @ SY536 )
                                          | ~ ( v16_lattices @ SY536 )
                                          | ~ ( l3_lattices @ SY536 )
                                          | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                              | ~ ! [SY537: $i] :
                                    ( ( v3_struct_0 @ SY537 )
                                    | ~ ( v10_lattices @ SY537 )
                                    | ~ ( l3_lattices @ SY537 )
                                    | ( v3_struct_0 @ SV170 )
                                    | ~ ( v10_lattices @ SV170 )
                                    | ~ ( v15_lattices @ SV170 )
                                    | ~ ( v16_lattices @ SV170 )
                                    | ~ ( l3_lattices @ SV170 )
                                    | ( v3_struct_0 @ SY537 )
                                    | ~ ( v10_lattices @ SY537 )
                                    | ~ ( v15_lattices @ SY537 )
                                    | ~ ( v16_lattices @ SY537 )
                                    | ~ ( l3_lattices @ SY537 )
                                    | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                        | ~ ! [SY538: $i] :
                              ( ( v3_struct_0 @ SY538 )
                              | ~ ( v10_lattices @ SY538 )
                              | ~ ( l3_lattices @ SY538 )
                              | ( v3_struct_0 @ SV170 )
                              | ~ ( v10_lattices @ SV170 )
                              | ~ ( v15_lattices @ SV170 )
                              | ~ ( v16_lattices @ SV170 )
                              | ~ ( l3_lattices @ SV170 )
                              | ( v3_struct_0 @ SY538 )
                              | ~ ( v10_lattices @ SY538 )
                              | ~ ( v15_lattices @ SY538 )
                              | ~ ( v16_lattices @ SY538 )
                              | ~ ( l3_lattices @ SY538 )
                              | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
                  | ~ ! [SY539: $i] :
                        ( ( v3_struct_0 @ SY539 )
                        | ~ ( v10_lattices @ SY539 )
                        | ~ ( l3_lattices @ SY539 )
                        | ( v3_struct_0 @ SV170 )
                        | ~ ( v10_lattices @ SV170 )
                        | ~ ( v15_lattices @ SV170 )
                        | ~ ( v16_lattices @ SV170 )
                        | ~ ( l3_lattices @ SV170 )
                        | ( v3_struct_0 @ SY539 )
                        | ~ ( v10_lattices @ SY539 )
                        | ~ ( v15_lattices @ SY539 )
                        | ~ ( v16_lattices @ SY539 )
                        | ~ ( l3_lattices @ SY539 )
                        | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                        ( ( v3_struct_0 @ SY540 )
                                                                        | ~ ( v10_lattices @ SY540 )
                                                                        | ~ ( l3_lattices @ SY540 )
                                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                        | ~ ( v3_struct_0 @ SV170 ) )
                                                                  | ~ ! [SY541: $i] :
                                                                        ( ( v3_struct_0 @ SY541 )
                                                                        | ~ ( v10_lattices @ SY541 )
                                                                        | ~ ( l3_lattices @ SY541 )
                                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                        | ( v10_lattices @ SV170 ) ) )
                                                            | ~ ! [SY542: $i] :
                                                                  ( ( v3_struct_0 @ SY542 )
                                                                  | ~ ( v10_lattices @ SY542 )
                                                                  | ~ ( l3_lattices @ SY542 )
                                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                  | ( v15_lattices @ SV170 ) ) )
                                                      | ~ ! [SY543: $i] :
                                                            ( ( v3_struct_0 @ SY543 )
                                                            | ~ ( v10_lattices @ SY543 )
                                                            | ~ ( l3_lattices @ SY543 )
                                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                            | ( v16_lattices @ SV170 ) ) )
                                                | ~ ! [SY544: $i] :
                                                      ( ( v3_struct_0 @ SY544 )
                                                      | ~ ( v10_lattices @ SY544 )
                                                      | ~ ( l3_lattices @ SY544 )
                                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                      | ( l3_lattices @ SV170 ) ) )
                                          | ~ ! [SY545: $i] :
                                                ( ( v3_struct_0 @ SY545 )
                                                | ~ ( v10_lattices @ SY545 )
                                                | ~ ( l3_lattices @ SY545 )
                                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                | ~ ( v3_struct_0 @ SY545 ) ) )
                                    | ~ ! [SY546: $i] :
                                          ( ( v3_struct_0 @ SY546 )
                                          | ~ ( v10_lattices @ SY546 )
                                          | ~ ( l3_lattices @ SY546 )
                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                          | ( v10_lattices @ SY546 ) ) )
                              | ~ ! [SY547: $i] :
                                    ( ( v3_struct_0 @ SY547 )
                                    | ~ ( v10_lattices @ SY547 )
                                    | ~ ( l3_lattices @ SY547 )
                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                    | ( v15_lattices @ SY547 ) ) )
                        | ~ ! [SY548: $i] :
                              ( ( v3_struct_0 @ SY548 )
                              | ~ ( v10_lattices @ SY548 )
                              | ~ ( l3_lattices @ SY548 )
                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                              | ( v16_lattices @ SY548 ) ) )
                  | ~ ! [SY549: $i] :
                        ( ( v3_struct_0 @ SY549 )
                        | ~ ( v10_lattices @ SY549 )
                        | ~ ( l3_lattices @ SY549 )
                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                        | ( l3_lattices @ SY549 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7420]) ).

thf(7696,plain,
    ( ( ~ ( l2_lattices @ sK29_A )
      | ~ ( v2_lattices @ sK29_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7421]) ).

thf(7697,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ~ ( v16_lattices @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ( v17_lattices @ SX0 ) )
      | ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ( v15_lattices @ SX0 ) )
                  | ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ( v16_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v11_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7422]) ).

thf(7698,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK46_A )
      | ~ ( v1_setfam_1 @ sK46_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7423]) ).

thf(7699,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l1_struct_0 @ SX0 )
            | ! [SX1: $i] :
                ( ( u1_struct_0 @ SX0 )
               != ( k1_tarski @ SX1 ) )
            | ( v3_realset2 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l1_struct_0 @ SX0 )
            | ~ ( v3_realset2 @ SX0 )
            | ( ( u1_struct_0 @ SX0 )
              = ( k1_tarski @ ( sK2_B @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7424]) ).

thf(7700,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( m1_filter_0 @ SX1 @ SX0 )
                  | ~ ( v3_struct_0 @ ( k8_filter_0 @ SX0 @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( m1_filter_0 @ SX1 @ SX0 )
                  | ( v10_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ( l3_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7425]) ).

thf(7701,plain,
    ( ( ~ ~ ( ~ ( l1_rlvect_1 @ sK63_A )
            | ~ ~ ( v3_struct_0 @ sK63_A ) )
      | ~ ( v1_rlvect_1 @ sK63_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7426]) ).

thf(7702,plain,
    ! [SV171: $i] :
      ( ( ( v3_struct_0 @ SV171 )
        | ~ ( v10_lattices @ SV171 )
        | ~ ( l3_lattices @ SV171 )
        | ~ ( ~ ( m2_lattice4 @ ( sK53_B @ SV171 ) @ SV171 )
            | ~ ~ ( v1_xboole_0 @ ( sK53_B @ SV171 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7427]) ).

thf(7703,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                              ( ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( v11_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
                        | ~ ! [SX0: $i] :
                              ( ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( v11_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
                  | ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( v11_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v11_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v11_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
      | ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                              ( ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( v3_struct_0 @ SX0 ) )
                        | ~ ! [SX0: $i] :
                              ( ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ( v10_lattices @ SX0 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ( v11_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ( l3_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7428]) ).

thf(7704,plain,
    ( ( ~ ( l1_struct_0 @ sK57_A )
      | ~ ( v3_realset2 @ sK57_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[7429]) ).

thf(7705,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV1 )
          | ~ ( v2_pre_topc @ SV1 ) )
        = $true )
      | ( ( ! [SY395: $i] :
              ( ~ ( m1_pre_topc @ SY395 @ SV1 )
              | ( v2_pre_topc @ SY395 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7430]) ).

thf(7706,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV2 )
          | ~ ( v2_pre_topc @ SV2 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV2 ) @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7431]) ).

thf(7707,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV3 )
          | ~ ( v2_pre_topc @ SV3 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV3 ) @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7432]) ).

thf(7708,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV4 ) )
        = $true )
      | ( ( ! [SY396: $i] :
              ( ~ ( m1_pre_topc @ SY396 @ SV4 )
              | ( l1_pre_topc @ SY396 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7433]) ).

thf(7709,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV5 ) )
        = $true )
      | ( ( m1_pre_topc @ ( sK66_B @ SV5 ) @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7434]) ).

thf(7710,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV6 ) )
        = $true )
      | ( ( l1_struct_0 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7435]) ).

thf(7711,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV7 ) )
        = $true )
      | ( ( v1_tops_1 @ ( k2_pre_topc @ SV7 ) @ SV7 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7436]) ).

thf(7712,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV8 )
          | ~ ( v2_pre_topc @ SV8 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k1_pre_topc @ SV8 ) @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7437]) ).

thf(7713,plain,
    ! [SV9: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV9 ) )
        = $true )
      | ( ( ( k6_pre_topc @ SV9 @ ( k2_pre_topc @ SV9 ) )
          = ( k2_pre_topc @ SV9 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7438]) ).

thf(7714,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV10 )
          | ~ ( v2_pre_topc @ SV10 ) )
        = $true )
      | ( ( ( k1_tops_1 @ SV10 @ ( k2_pre_topc @ SV10 ) )
          = ( k2_pre_topc @ SV10 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7439]) ).

thf(7715,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV11 ) )
        = $true )
      | ( ( ( k1_tops_1 @ SV11 @ ( k1_pre_topc @ SV11 ) )
          = ( k1_pre_topc @ SV11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7440]) ).

thf(7716,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV12 )
          | ~ ( v2_pre_topc @ SV12 ) )
        = $true )
      | ( ( v3_pre_topc @ ( k1_pre_topc @ SV12 ) @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7441]) ).

thf(7717,plain,
    ! [SV13: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV13 )
          | ~ ( v2_pre_topc @ SV13 ) )
        = $true )
      | ( ( v3_pre_topc @ ( k2_pre_topc @ SV13 ) @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7442]) ).

thf(7718,plain,
    ! [SV14: $i] :
      ( ( ( ( v3_struct_0 @ SV14 )
          | ~ ( v10_lattices @ SV14 )
          | ~ ( l3_lattices @ SV14 ) )
        = $true )
      | ( ( m1_filter_0 @ ( u1_struct_0 @ SV14 ) @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7443]) ).

thf(7719,plain,
    ! [SV15: $i] :
      ( ( ( ( v3_struct_0 @ SV15 )
          | ~ ( v10_lattices @ SV15 )
          | ~ ( l3_lattices @ SV15 ) )
        = $true )
      | ( ( ( k1_filter_0 @ SV15 )
          = ( u1_struct_0 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7444]) ).

thf(7720,plain,
    ! [SV16: $i] :
      ( ( ( ( v3_struct_0 @ SV16 )
          | ~ ( v10_lattices @ SV16 )
          | ~ ( l3_lattices @ SV16 ) )
        = $true )
      | ( ( ! [SY397: $i] :
              ( ~ ( m1_filter_0 @ SY397 @ SV16 )
              | ( ( k3_filter_0 @ SV16 @ SY397 )
                = SY397 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7445]) ).

thf(7721,plain,
    ! [SV17: $i] :
      ( ( ( ( v3_struct_0 @ SV17 )
          | ~ ( v10_lattices @ SV17 )
          | ~ ( v3_filter_0 @ SV17 )
          | ~ ( l3_lattices @ SV17 ) )
        = $true )
      | ( ( v14_lattices @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7446]) ).

thf(7722,plain,
    ! [SV18: $i] :
      ( ( ( ( v3_struct_0 @ SV18 )
          | ~ ( v10_lattices @ SV18 )
          | ~ ( v3_filter_0 @ SV18 )
          | ~ ( l3_lattices @ SV18 ) )
        = $true )
      | ( ( v11_lattices @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7447]) ).

thf(7723,plain,
    ! [SV19: $i] :
      ( ( ( ( v3_struct_0 @ SV19 )
          | ~ ( v10_lattices @ SV19 )
          | ~ ( v17_lattices @ SV19 )
          | ~ ( l3_lattices @ SV19 ) )
        = $true )
      | ( ( v3_filter_0 @ SV19 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7448]) ).

thf(7724,plain,
    ! [SV20: $i] :
      ( ( ( ( v3_struct_0 @ SV20 )
          | ~ ( v10_lattices @ SV20 )
          | ~ ( l3_lattices @ SV20 ) )
        = $true )
      | ( ( m1_filter_0 @ ( sK55_B @ SV20 ) @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7449]) ).

thf(7725,plain,
    ! [SV21: $i] :
      ( ( ( ( v3_struct_0 @ SV21 )
          | ~ ( v10_lattices @ SV21 )
          | ~ ( l3_lattices @ SV21 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_0 @ SV21 ) @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7450]) ).

thf(7726,plain,
    ! [SV172: $i,SV22: $i] :
      ( ( ! [SY550: $i] :
            ( ( v3_struct_0 @ SV22 )
            | ~ ( v10_lattices @ SV22 )
            | ~ ( v17_lattices @ SV22 )
            | ~ ( l3_lattices @ SV22 )
            | ~ ( m1_filter_0 @ SV172 @ SV22 )
            | ~ ( m1_filter_0 @ SY550 @ SV22 )
            | ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SY550 ) @ SV22 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7451]) ).

thf(7727,plain,
    ! [SV23: $i] :
      ( ( ( ( v3_struct_0 @ SV23 )
          | ~ ( v3_lattices @ SV23 )
          | ~ ( l3_lattices @ SV23 ) )
        = $true )
      | ( ( ( k1_lattice2 @ ( k1_lattice2 @ SV23 ) )
          = SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7452]) ).

thf(7728,plain,
    ! [SV24: $i] :
      ( ( ( ( v3_struct_0 @ SV24 )
          | ~ ( v10_lattices @ SV24 )
          | ~ ( l3_lattices @ SV24 ) )
        = $true )
      | ( ( ! [SY400: $i] :
              ( ( v3_struct_0 @ SY400 )
              | ~ ( v10_lattices @ SY400 )
              | ~ ( l3_lattices @ SY400 )
              | ! [SY401: $i] :
                  ( ( v3_struct_0 @ SY401 )
                  | ~ ( v10_lattices @ SY401 )
                  | ~ ( l3_lattices @ SY401 )
                  | ~ ( r1_filter_1 @ SV24 @ SY400 )
                  | ~ ( r1_filter_1 @ SY400 @ SY401 )
                  | ( r1_filter_1 @ SV24 @ SY401 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7453]) ).

thf(7729,plain,
    ! [SV25: $i] :
      ( ( ( ( v3_struct_0 @ SV25 )
          | ~ ( v10_lattices @ SV25 )
          | ~ ( l3_lattices @ SV25 ) )
        = $true )
      | ( ( ! [SY402: $i] :
              ( ( v3_struct_0 @ SY402 )
              | ~ ( v10_lattices @ SY402 )
              | ~ ( l3_lattices @ SY402 )
              | ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SY402 ) )
                = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SY402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7454]) ).

thf(7730,plain,
    ! [SV26: $i] :
      ( ( ( ( v3_struct_0 @ SV26 )
          | ~ ( v10_lattices @ SV26 )
          | ~ ( l3_lattices @ SV26 ) )
        = $true )
      | ( ( ! [SY403: $i] :
              ( ( v3_struct_0 @ SY403 )
              | ~ ( v10_lattices @ SY403 )
              | ~ ( l3_lattices @ SY403 )
              | ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SY403 ) @ ( k8_filter_1 @ SY403 @ SV26 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7455]) ).

thf(7731,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( v3_struct_0 @ SV27 )
        | ~ ( v10_lattices @ SV27 )
        | ~ ( l3_lattices @ SV27 )
        | ( v3_struct_0 @ SV173 )
        | ~ ( v10_lattices @ SV173 )
        | ~ ( l3_lattices @ SV173 )
        | ~ ( r1_filter_1 @ SV27 @ SV173 )
        | ( r1_filter_1 @ SV173 @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7456]) ).

thf(7732,plain,
    ! [SV28: $i] :
      ( ( ( ! [SY405: $i] :
              ( ( v3_struct_0 @ SV28 )
              | ~ ( v10_lattices @ SV28 )
              | ~ ( l3_lattices @ SV28 )
              | ( v3_struct_0 @ SY405 )
              | ~ ( v10_lattices @ SY405 )
              | ~ ( l3_lattices @ SY405 ) ) )
        = $true )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7457]) ).

thf(7733,plain,
    ! [SV174: $i,SV29: $i] :
      ( ( ! [SY551: $i] :
            ( ( v3_struct_0 @ SV29 )
            | ~ ( v10_lattices @ SV29 )
            | ~ ( l3_lattices @ SV29 )
            | ~ ( m1_filter_0 @ SV174 @ SV29 )
            | ~ ( m1_filter_0 @ SY551 @ SV29 )
            | ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SY551 ) @ SV29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7458]) ).

thf(7734,plain,
    ! [SV175: $i,SV30: $i] :
      ( ( ! [SY552: $i] :
            ( ( v3_struct_0 @ SV30 )
            | ~ ( v10_lattices @ SV30 )
            | ~ ( l3_lattices @ SV30 )
            | ~ ( m1_filter_0 @ SV175 @ SV30 )
            | ~ ( m1_filter_0 @ SY552 @ SV30 )
            | ( ( k1_filter_1 @ SV30 @ SV175 @ SY552 )
              = ( k1_filter_1 @ SV30 @ SY552 @ SV175 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7459]) ).

thf(7735,plain,
    ! [SV176: $i,SV31: $i] :
      ( ( ( v3_struct_0 @ SV31 )
        | ~ ( v10_lattices @ SV31 )
        | ~ ( l3_lattices @ SV31 )
        | ~ ( m1_filter_0 @ SV176 @ SV31 )
        | ! [SY411: $i] :
            ~ ( m1_filter_0 @ SY411 @ SV31 )
        | ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7460]) ).

thf(7736,plain,
    ! [SV32: $i] :
      ( ( ( ( v3_struct_0 @ SV32 )
          | ~ ( v10_lattices @ SV32 )
          | ~ ( l3_lattices @ SV32 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k9_filter_1 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7461]) ).

thf(7737,plain,
    ! [SV33: $i] :
      ( ( ( ( v3_struct_0 @ SV33 )
          | ~ ( v10_lattices @ SV33 )
          | ~ ( l3_lattices @ SV33 ) )
        = $true )
      | ( ( ( k9_filter_1 @ SV33 )
          = ( a_1_0_filter_1 @ SV33 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7462]) ).

thf(7738,plain,
    ! [SV34: $i] :
      ( ( ( ( v3_struct_0 @ SV34 )
          | ~ ( v2_pre_topc @ SV34 )
          | ~ ( l1_pre_topc @ SV34 ) )
        = $true )
      | ( ( m1_borsuk_1 @ ( k15_borsuk_1 @ SV34 ) @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7463]) ).

thf(7739,plain,
    ! [SV35: $i] :
      ( ( ( ( v3_struct_0 @ SV35 )
          | ~ ( v2_pre_topc @ SV35 )
          | ~ ( l1_pre_topc @ SV35 ) )
        = $true )
      | ( ( m1_borsuk_1 @ ( sK54_B @ SV35 ) @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7464]) ).

thf(7740,plain,
    ! [SV36: $i] :
      ( ( ( ( v3_struct_0 @ SV36 )
          | ~ ( v10_lattices @ SV36 )
          | ~ ( l3_lattices @ SV36 ) )
        = $true )
      | ( ( v2_filter_0 @ ( k1_filter_0 @ SV36 ) @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7465]) ).

thf(7741,plain,
    ! [SV37: $i] :
      ( ( ( ( v3_struct_0 @ SV37 )
          | ~ ( v10_lattices @ SV37 )
          | ~ ( l3_lattices @ SV37 ) )
        = $true )
      | ( ( m2_lattice4 @ ( u1_struct_0 @ SV37 ) @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7466]) ).

thf(7742,plain,
    ! [SV38: $i] :
      ( ( ( ( v3_struct_0 @ SV38 )
          | ~ ( v10_lattices @ SV38 )
          | ~ ( l3_lattices @ SV38 ) )
        = $true )
      | ( ( ! [SY412: $i] :
              ( ~ ( m1_filter_0 @ SY412 @ SV38 )
              | ( m2_lattice4 @ SY412 @ SV38 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7467]) ).

thf(7743,plain,
    ! [SV39: $i] :
      ( ( ( ( v3_struct_0 @ SV39 )
          | ~ ( v10_lattices @ SV39 )
          | ~ ( v17_lattices @ SV39 )
          | ~ ( l3_lattices @ SV39 ) )
        = $true )
      | ( ( m3_lattice4 @ ( u1_struct_0 @ SV39 ) @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7468]) ).

thf(7744,plain,
    ! [SV40: $i] :
      ( ( ( ( v3_struct_0 @ SV40 )
          | ~ ( v10_lattices @ SV40 )
          | ~ ( v17_lattices @ SV40 )
          | ~ ( l3_lattices @ SV40 ) )
        = $true )
      | ( ( ! [SY413: $i] :
              ( ~ ( m3_lattice4 @ SY413 @ SV40 )
              | ( m2_lattice4 @ SY413 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7469]) ).

thf(7745,plain,
    ! [SV177: $i,SV41: $i] :
      ( ( ( v3_struct_0 @ SV41 )
        | ~ ( v10_lattices @ SV41 )
        | ~ ( l3_lattices @ SV41 )
        | ( v3_struct_0 @ SV177 )
        | ~ ( v10_lattices @ SV177 )
        | ~ ( l3_lattices @ SV177 )
        | ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7470]) ).

thf(7746,plain,
    ! [SV42: $i] :
      ( ( ( ( v3_struct_0 @ SV42 )
          | ~ ( v10_lattices @ SV42 )
          | ~ ( l3_lattices @ SV42 ) )
        = $true )
      | ( ( m2_lattice4 @ ( sK50_B @ SV42 ) @ SV42 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7471]) ).

thf(7747,plain,
    ! [SV43: $i] :
      ( ( ( ( v3_struct_0 @ SV43 )
          | ~ ( v10_lattices @ SV43 )
          | ~ ( v17_lattices @ SV43 )
          | ~ ( l3_lattices @ SV43 ) )
        = $true )
      | ( ( m3_lattice4 @ ( sK49_B @ SV43 ) @ SV43 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7472]) ).

thf(7748,plain,
    ! [SV44: $i] :
      ( ( ( ( v3_struct_0 @ SV44 )
          | ~ ( v10_lattices @ SV44 )
          | ~ ( v17_lattices @ SV44 )
          | ( v3_realset2 @ SV44 )
          | ~ ( l3_lattices @ SV44 ) )
        = $true )
      | ( ( ( k9_lopclset @ SV44 )
          = ( k8_lopclset @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7473]) ).

thf(7749,plain,
    ! [SV45: $i] :
      ( ( ( ( v3_struct_0 @ SV45 )
          | ~ ( v10_lattices @ SV45 )
          | ~ ( v17_lattices @ SV45 )
          | ( v3_realset2 @ SV45 )
          | ~ ( l3_lattices @ SV45 ) )
        = $true )
      | ( ( ( k13_lopclset @ SV45 )
          = ( k8_lopclset @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7474]) ).

thf(7750,plain,
    ! [SV46: $i] :
      ( ( ( ( v3_struct_0 @ SV46 )
          | ~ ( l1_pre_topc @ SV46 ) )
        = $true )
      | ( ( ( k1_lopclset @ SV46 )
          = ( a_1_0_lopclset @ SV46 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7475]) ).

thf(7751,plain,
    ! [SV47: $i] :
      ( ( ( ( v3_struct_0 @ SV47 )
          | ~ ( v2_pre_topc @ SV47 )
          | ~ ( l1_pre_topc @ SV47 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k1_lopclset @ SV47 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7476]) ).

thf(7752,plain,
    ! [SV48: $i] :
      ( ( ( ( v3_struct_0 @ SV48 )
          | ~ ( v2_pre_topc @ SV48 )
          | ~ ( l1_pre_topc @ SV48 ) )
        = $true )
      | ( ( ( u1_struct_0 @ ( k6_lopclset @ SV48 ) )
          = ( k1_lopclset @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7477]) ).

thf(7753,plain,
    ! [SV49: $i] :
      ( ( ( ( v3_struct_0 @ SV49 )
          | ~ ( v2_pre_topc @ SV49 )
          | ~ ( l1_pre_topc @ SV49 ) )
        = $true )
      | ( ( v17_lattices @ ( k6_lopclset @ SV49 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7478]) ).

thf(7754,plain,
    ! [SV50: $i] :
      ( ( ( ( v3_struct_0 @ SV50 )
          | ~ ( v10_lattices @ SV50 )
          | ~ ( v17_lattices @ SV50 )
          | ( v3_realset2 @ SV50 )
          | ~ ( l3_lattices @ SV50 ) )
        = $true )
      | ( ( ( k7_lopclset @ SV50 )
          = ( a_1_1_lopclset @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7479]) ).

thf(7755,plain,
    ! [SV51: $i] :
      ( ( ( ( v3_struct_0 @ SV51 )
          | ~ ( v10_lattices @ SV51 )
          | ~ ( v17_lattices @ SV51 )
          | ( v3_realset2 @ SV51 )
          | ~ ( l3_lattices @ SV51 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV51 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7480]) ).

thf(7756,plain,
    ! [SV52: $i] :
      ( ( ( ( v3_struct_0 @ SV52 )
          | ~ ( v10_lattices @ SV52 )
          | ~ ( v17_lattices @ SV52 )
          | ( v3_realset2 @ SV52 )
          | ~ ( l3_lattices @ SV52 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k10_lopclset @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7481]) ).

thf(7757,plain,
    ! [SV53: $i] :
      ( ( ( ( v3_struct_0 @ SV53 )
          | ~ ( v10_lattices @ SV53 )
          | ~ ( v17_lattices @ SV53 )
          | ( v3_realset2 @ SV53 )
          | ~ ( l3_lattices @ SV53 ) )
        = $true )
      | ( ( ( k12_lopclset @ SV53 )
          = ( k6_lopclset @ ( k11_lopclset @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7482]) ).

thf(7758,plain,
    ! [SV54: $i] :
      ( ( ( ( v3_struct_0 @ SV54 )
          | ~ ( v10_lattices @ SV54 )
          | ~ ( v17_lattices @ SV54 )
          | ( v3_realset2 @ SV54 )
          | ~ ( l3_lattices @ SV54 ) )
        = $true )
      | ( ( v2_funct_1 @ ( k9_lopclset @ SV54 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7483]) ).

thf(7759,plain,
    ! [SV55: $i] :
      ( ( ( ( v3_struct_0 @ SV55 )
          | ~ ( v10_lattices @ SV55 )
          | ~ ( v17_lattices @ SV55 )
          | ( v3_realset2 @ SV55 )
          | ~ ( l3_lattices @ SV55 ) )
        = $true )
      | ( ( r1_filter_1 @ SV55 @ ( k12_lopclset @ SV55 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7484]) ).

thf(7760,plain,
    ! [SV56: $i] :
      ( ( ( v1_xboole_0 @ SV56 )
        = $true )
      | ( ( ! [SY415: $i] :
              ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV56 @ SY415 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7486]) ).

thf(7761,plain,
    ! [SV57: $i] :
      ( ( ( v1_xboole_0 @ SV57 )
        = $true )
      | ( ( ! [SY416: $i] :
              ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SY416 @ SV57 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7487]) ).

thf(7762,plain,
    ! [SV58: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV58 ) )
        = $true )
      | ( ( SV58 = k1_xboole_0 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7488]) ).

thf(7763,plain,
    ! [SV178: $i,SV59: $i] :
      ( ( ~ ( r2_hidden @ SV59 @ SV178 )
        | ~ ( v1_xboole_0 @ SV178 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7489]) ).

thf(7764,plain,
    ! [SV179: $i,SV60: $i] :
      ( ( ( SV60 = SV179 )
        | ~ ( v1_xboole_0 @ SV60 )
        | ~ ( v1_xboole_0 @ SV179 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7490]) ).

thf(7765,plain,
    ! [SV180: $i,SV61: $i] :
      ( ( ~ ( v1_xboole_0 @ ( k4_tarski @ SV61 @ SV180 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7491]) ).

thf(7766,plain,
    ! [SV62: $i] :
      ( ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV62 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[7492]) ).

thf(7767,plain,
    ! [SV63: $i] :
      ( ( v1_xboole_0 @ ( k1_tarski @ SV63 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[7493]) ).

thf(7768,plain,
    ! [SV181: $i,SV64: $i] :
      ( ( ~ ( v1_xboole_0 @ ( k2_tarski @ SV64 @ SV181 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7494]) ).

thf(7769,plain,
    ! [SV182: $i,SV65: $i] :
      ( ( ( v1_xboole_0 @ SV65 )
        | ( v1_xboole_0 @ SV182 )
        | ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV65 @ SV182 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7495]) ).

thf(7770,plain,
    ! [SV183: $i,SV66: $i] :
      ( ( ! [SY554: $i] :
            ( ( v1_xboole_0 @ SV66 )
            | ( v1_xboole_0 @ SV183 )
            | ( v1_xboole_0 @ SY554 )
            | ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV66 @ SV183 @ SY554 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7496]) ).

thf(7771,plain,
    ! [SV184: $i,SV67: $i] :
      ( ( ! [SY555: $i,SY556: $i] :
            ( ( v1_xboole_0 @ SV67 )
            | ( v1_xboole_0 @ SV184 )
            | ( v1_xboole_0 @ SY555 )
            | ( v1_xboole_0 @ SY556 )
            | ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV67 @ SV184 @ SY555 @ SY556 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7497]) ).

thf(7772,plain,
    ! [SV185: $i,SV68: $i] :
      ( ( ( v1_xboole_0 @ SV68 )
        | ( v1_xboole_0 @ SV185 )
        | ~ ( r1_subset_1 @ SV68 @ SV185 )
        | ( r1_subset_1 @ SV185 @ SV68 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7498]) ).

thf(7773,plain,
    ! [SV69: $i] :
      ( ( ( ( v1_xboole_0 @ SV69 )
          | ! [B: $i] : ( v1_xboole_0 @ B ) )
        = $true )
      | ( ( ~ ( r1_subset_1 @ SV69 @ SV69 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7499]) ).

thf(7774,plain,
    ! [SV186: $i,SV70: $i] :
      ( ( ( v1_xboole_0 @ SV70 )
        | ( v1_xboole_0 @ SV186 )
        | ~ ( r2_subset_1 @ SV70 @ SV186 )
        | ( r2_subset_1 @ SV186 @ SV70 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7500]) ).

thf(7775,plain,
    ! [SV71: $i] :
      ( ( ( ( v1_xboole_0 @ SV71 )
          | ! [B: $i] : ( v1_xboole_0 @ B ) )
        = $true )
      | ( ( ~ ( r2_subset_1 @ SV71 @ SV71 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7501]) ).

thf(7776,plain,
    ! [SV72: $i] :
      ( ( ( v2_setfam_1 @ SV72 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV72 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7502]) ).

thf(7777,plain,
    ! [SV187: $i,SV73: $i] :
      ( ( ~ ( v1_relat_1 @ SV73 )
        | ~ ( v1_relat_1 @ SV187 )
        | ( v1_relat_1 @ ( k3_xboole_0 @ SV73 @ SV187 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7503]) ).

thf(7778,plain,
    ! [SV188: $i,SV74: $i] :
      ( ( ~ ( v1_relat_1 @ SV74 )
        | ~ ( v1_relat_1 @ SV188 )
        | ( v1_relat_1 @ ( k2_xboole_0 @ SV74 @ SV188 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7504]) ).

thf(7779,plain,
    ! [SV189: $i,SV75: $i] :
      ( ( ~ ( v1_relat_1 @ SV75 )
        | ~ ( v1_relat_1 @ SV189 )
        | ( v1_relat_1 @ ( k4_xboole_0 @ SV75 @ SV189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7505]) ).

thf(7780,plain,
    ! [SV76: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV76 ) )
        = $true )
      | ( ( v1_relat_1 @ SV76 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7506]) ).

thf(7781,plain,
    ! [SV77: $i] :
      ( ( ( ( v1_xboole_0 @ SV77 )
          | ~ ( v1_relat_1 @ SV77 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k1_relat_1 @ SV77 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7507]) ).

thf(7782,plain,
    ! [SV78: $i] :
      ( ( ( ( v1_xboole_0 @ SV78 )
          | ~ ( v1_relat_1 @ SV78 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k2_relat_1 @ SV78 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7508]) ).

thf(7783,plain,
    ! [SV79: $i,SV190: $i] :
      ( ( ~ ( v1_relat_1 @ SV190 )
        | ~ ( r1_tarski @ SV79 @ SV190 )
        | ( v1_relat_1 @ SV79 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7509]) ).

thf(7784,plain,
    ! [SV191: $i,SV80: $i] :
      ( ( v1_relat_1 @ ( k2_zfmisc_1 @ SV80 @ SV191 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7510]) ).

thf(7785,plain,
    ! [SV81: $i,SV192: $i] :
      ( ( ~ ( v1_relat_1 @ SV192 )
        | ( v1_relat_1 @ ( k3_xboole_0 @ SV81 @ SV192 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7511]) ).

thf(7786,plain,
    ! [SV82: $i,SV193: $i] :
      ( ( ~ ( v1_relat_1 @ SV193 )
        | ( v1_relat_1 @ ( k4_xboole_0 @ SV193 @ SV82 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7512]) ).

thf(7787,plain,
    ! [SV83: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV83 ) )
        = $true )
      | ( ( ! [SY438: $i] :
              ( ~ ( v1_relat_1 @ SY438 )
              | ! [SY439: $i] :
                  ( ~ ( v1_relat_1 @ SY439 )
                  | ( ( k5_relat_1 @ ( k5_relat_1 @ SV83 @ SY438 ) @ SY439 )
                    = ( k5_relat_1 @ SV83 @ ( k5_relat_1 @ SY438 @ SY439 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7513]) ).

thf(7788,plain,
    ! [SV84: $i,SV194: $i] :
      ( ( ~ ( v1_relat_1 @ SV194 )
        | ( ( k7_relat_1 @ ( k7_relat_1 @ SV194 @ SV84 ) @ SV84 )
          = ( k7_relat_1 @ SV194 @ SV84 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7514]) ).

thf(7789,plain,
    ! [SV85: $i,SV195: $i] :
      ( ( ~ ( v1_relat_1 @ SV195 )
        | ( ( k8_relat_1 @ SV85 @ ( k8_relat_1 @ SV85 @ SV195 ) )
          = ( k8_relat_1 @ SV85 @ SV195 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7515]) ).

thf(7790,plain,
    ! [SV86: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV86 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k4_relat_1 @ SV86 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7516]) ).

thf(7791,plain,
    ! [SV87: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV87 ) )
        = $true )
      | ( ( ( k4_relat_1 @ ( k4_relat_1 @ SV87 ) )
          = SV87 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7517]) ).

thf(7792,plain,
    ! [SV196: $i,SV88: $i] :
      ( ( ~ ( v1_relat_1 @ SV88 )
        | ~ ( v1_relat_1 @ SV196 )
        | ( v1_relat_1 @ ( k5_relat_1 @ SV88 @ SV196 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7518]) ).

thf(7793,plain,
    ! [SV90: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV90 ) )
        = $true )
      | ( ( ! [SY443: $i] : ( v1_relat_1 @ ( k7_relat_1 @ SV90 @ SY443 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7520]) ).

thf(7794,plain,
    ! [SV91: $i,SV197: $i] :
      ( ( ~ ( v1_relat_1 @ SV197 )
        | ( v1_relat_1 @ ( k8_relat_1 @ SV91 @ SV197 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7521]) ).

thf(7795,plain,
    ! [SV92: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV92 ) )
        = $true )
      | ( ( v1_funct_1 @ SV92 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7522]) ).

thf(7796,plain,
    ! [SV94: $i] :
      ( ( v1_xboole_0 @ ( k1_ordinal1 @ SV94 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[7524]) ).

thf(7797,plain,
    ! [SV198: $i,SV95: $i] :
      ( ( ~ ( v1_xboole_0 @ ( k4_partfun1 @ SV95 @ SV198 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7525]) ).

thf(7798,plain,
    ! [SV96: $i,SV199: $i] :
      ( ( ( v1_xboole_0 @ SV199 )
        | ~ ( v1_xboole_0 @ ( k1_funct_2 @ SV96 @ SV199 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7526]) ).

thf(7799,plain,
    ! [SV97: $i] :
      ( ( v1_xboole_0 @ ( k1_funct_2 @ SV97 @ SV97 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[7527]) ).

thf(7800,plain,
    ! [SV98: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV98 ) )
        = $true )
      | ( ( v1_finset_1 @ SV98 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7528]) ).

thf(7801,plain,
    ! [SV99: $i] :
      ( ( v1_xboole_0 @ ( k13_finseq_1 @ SV99 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[7533]) ).

thf(7802,plain,
    ! [SV100: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV100 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k17_finseq_1 @ SV100 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7534]) ).

thf(7803,plain,
    ! [SV101: $i] :
      ( ( ( v1_xboole_0 @ SV101 )
        = $true )
      | ( ( ! [SY447: $i] :
              ( ~ ( m1_eqrel_1 @ SY447 @ SV101 )
              | ~ ( v1_xboole_0 @ SY447 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7535]) ).

thf(7804,plain,
    ! [SV102: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV102 ) )
        = $true )
      | ( ( ! [SY448: $i] : ( v1_relat_1 @ ( k1_realset1 @ SV102 @ SY448 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7543]) ).

thf(7805,plain,
    ! [SV103: $i] :
      ( ( ( v1_realset1 @ SV103 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV103 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7544]) ).

thf(7806,plain,
    ! [SV200: $i,SV104: $i] :
      ( ( ~ ( v1_relat_1 @ SV104 )
        | ~ ( v1_relat_1 @ SV200 )
        | ~ ( r1_rfinseq @ SV104 @ SV200 )
        | ( r1_rfinseq @ SV200 @ SV104 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7545]) ).

thf(7807,plain,
    ! [SV105: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV105 )
          | ! [B: $i] :
              ~ ( v1_relat_1 @ B ) )
        = $true )
      | ( ( r1_rfinseq @ SV105 @ SV105 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7546]) ).

thf(7808,plain,
    ! [SV106: $i] :
      ( ( ( ( v3_struct_0 @ SV106 )
          | ~ ( l1_struct_0 @ SV106 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV106 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7547]) ).

thf(7809,plain,
    ! [SV107: $i] :
      ( ( ( ~ ( l2_struct_0 @ SV107 ) )
        = $true )
      | ( ( l1_struct_0 @ SV107 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7548]) ).

thf(7810,plain,
    ! [SV108: $i] :
      ( ( ( ~ ( l1_lattices @ SV108 ) )
        = $true )
      | ( ( l1_struct_0 @ SV108 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7549]) ).

thf(7811,plain,
    ! [SV109: $i] :
      ( ( ( ~ ( l2_lattices @ SV109 ) )
        = $true )
      | ( ( l1_struct_0 @ SV109 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7550]) ).

thf(7812,plain,
    ! [SV110: $i] :
      ( ( ( ( v3_struct_0 @ SV110 )
          | ~ ( l1_struct_0 @ SV110 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k2_pre_topc @ SV110 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7551]) ).

thf(7813,plain,
    ! [SV111: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV111 ) )
        = $true )
      | ( ( ( k1_pre_topc @ SV111 )
          = k1_xboole_0 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7552]) ).

thf(7814,plain,
    ! [SV112: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV112 ) )
        = $true )
      | ( ( ( k2_pre_topc @ SV112 )
          = ( u1_struct_0 @ SV112 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7553]) ).

thf(7815,plain,
    ! [SV113: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV113 ) )
        = $true )
      | ( ( ( k2_pre_topc @ SV113 )
          = ( u1_struct_0 @ SV113 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7554]) ).

thf(7816,plain,
    ! [SV114: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV114 ) )
        = $true )
      | ( ( ( k2_pre_topc @ SV114 )
          = ( k3_subset_1 @ ( u1_struct_0 @ SV114 ) @ ( k1_pre_topc @ SV114 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7555]) ).

thf(7817,plain,
    ! [SV115: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV115 ) )
        = $true )
      | ( ( ( k3_subset_1 @ ( u1_struct_0 @ SV115 ) @ ( k2_pre_topc @ SV115 ) )
          = ( k1_pre_topc @ SV115 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7556]) ).

thf(7818,plain,
    ! [SV116: $i] :
      ( ( ( ~ ( l1_rlvect_1 @ SV116 ) )
        = $true )
      | ( ( l2_struct_0 @ SV116 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7557]) ).

thf(7819,plain,
    ! [SV117: $i] :
      ( ( ( ~ ( l2_rlvect_1 @ SV117 ) )
        = $true )
      | ( ( l1_rlvect_1 @ SV117 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7558]) ).

thf(7820,plain,
    ! [SV118: $i] :
      ( ( ( ~ ( l1_group_1 @ SV118 ) )
        = $true )
      | ( ( l1_struct_0 @ SV118 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7559]) ).

thf(7821,plain,
    ! [SV119: $i] :
      ( ( ( ~ ( l1_vectsp_1 @ SV119 ) )
        = $true )
      | ( ( l1_group_1 @ SV119 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7560]) ).

thf(7822,plain,
    ! [SV120: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV120 ) )
        = $true )
      | ( ( ! [SY451: $i] :
              ( ~ ( l4_vectsp_1 @ SY451 @ SV120 )
              | ( l1_rlvect_1 @ SY451 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7561]) ).

thf(7823,plain,
    ! [SV121: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV121 ) )
        = $true )
      | ( ( l4_vectsp_1 @ ( sK14_B @ SV121 ) @ SV121 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7562]) ).

thf(7824,plain,
    ! [SV122: $i] :
      ( ( ( ( v3_struct_0 @ SV122 )
          | ~ ( v10_lattices @ SV122 )
          | ~ ( v17_lattices @ SV122 )
          | ~ ( l3_lattices @ SV122 ) )
        = $true )
      | ( ( ! [SY452: $i] :
              ( ~ ( m1_filter_0 @ SY452 @ SV122 )
              | ! [SY453: $i] :
                  ( ~ ( m1_filter_0 @ SY453 @ SV122 )
                  | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SY452 @ SY453 ) )
                    = ( k7_filter_0 @ SV122 @ SY452 @ SY453 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7563]) ).

thf(7825,plain,
    ! [SV123: $i] :
      ( ( ( ( v3_struct_0 @ SV123 )
          | ~ ( v3_lattices @ SV123 )
          | ~ ( v10_lattices @ SV123 )
          | ~ ( l3_lattices @ SV123 ) )
        = $true )
      | ( ( ( k8_filter_0 @ SV123 @ ( k1_filter_0 @ SV123 ) )
          = SV123 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7564]) ).

thf(7826,plain,
    ! [SV124: $i] :
      ( ( ( ( v3_struct_0 @ SV124 )
          | ~ ( v10_lattices @ SV124 )
          | ~ ( l3_lattices @ SV124 ) )
        = $true )
      | ( ( ! [SY454: $i] :
              ( ~ ( m1_filter_0 @ SY454 @ SV124 )
              | ~ ( v14_lattices @ SV124 )
              | ( v14_lattices @ ( k8_filter_0 @ SV124 @ SY454 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7565]) ).

thf(7827,plain,
    ! [SV125: $i] :
      ( ( ( ( v3_struct_0 @ SV125 )
          | ~ ( v10_lattices @ SV125 )
          | ~ ( l3_lattices @ SV125 ) )
        = $true )
      | ( ( ! [SY455: $i] :
              ( ~ ( m1_filter_0 @ SY455 @ SV125 )
              | ~ ( v12_lattices @ SV125 )
              | ( v12_lattices @ ( k8_filter_0 @ SV125 @ SY455 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7566]) ).

thf(7828,plain,
    ! [SV126: $i] :
      ( ( ( ( v3_struct_0 @ SV126 )
          | ~ ( v10_lattices @ SV126 )
          | ~ ( l3_lattices @ SV126 ) )
        = $true )
      | ( ( ! [SY456: $i] :
              ( ~ ( m1_filter_0 @ SY456 @ SV126 )
              | ~ ( v11_lattices @ SV126 )
              | ( v11_lattices @ ( k8_filter_0 @ SV126 @ SY456 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7567]) ).

thf(7829,plain,
    ! [SV127: $i] :
      ( ( ( ( v3_struct_0 @ SV127 )
          | ~ ( v10_lattices @ SV127 )
          | ~ ( l3_lattices @ SV127 ) )
        = $true )
      | ( ( ! [SY457: $i] :
              ( ~ ( m1_filter_0 @ SY457 @ SV127 )
              | ( v3_struct_0 @ SV127 )
              | ~ ( v10_lattices @ SV127 )
              | ~ ( v3_filter_0 @ SV127 )
              | ~ ( l3_lattices @ SV127 )
              | ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SY457 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7568]) ).

thf(7830,plain,
    ! [SV201: $i,SV128: $i] :
      ( ( ! [SY557: $i] :
            ( ( v3_struct_0 @ SV128 )
            | ~ ( v10_lattices @ SV128 )
            | ~ ( v11_lattices @ SV128 )
            | ~ ( l3_lattices @ SV128 )
            | ~ ( m1_filter_0 @ SV201 @ SV128 )
            | ~ ( m1_filter_0 @ SY557 @ SV128 )
            | ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SY557 ) @ SV128 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7569]) ).

thf(7831,plain,
    ! [SV202: $i,SV129: $i] :
      ( ( ! [SY558: $i] :
            ( ( v3_struct_0 @ SV129 )
            | ~ ( v10_lattices @ SV129 )
            | ~ ( v17_lattices @ SV129 )
            | ~ ( l3_lattices @ SV129 )
            | ~ ( m1_filter_0 @ SV202 @ SV129 )
            | ~ ( m1_filter_0 @ SY558 @ SV129 )
            | ( ( k7_filter_0 @ SV129 @ SV202 @ SY558 )
              = ( k5_filter_0 @ SV129 @ SV202 @ SY558 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7570]) ).

thf(7832,plain,
    ! [SV203: $i,SV130: $i] :
      ( ( ( v3_struct_0 @ SV130 )
        | ~ ( v10_lattices @ SV130 )
        | ~ ( l3_lattices @ SV130 )
        | ~ ( m1_filter_0 @ SV203 @ SV130 )
        | ( v1_relat_1 @ ( k10_filter_0 @ SV130 @ SV203 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7571]) ).

thf(7833,plain,
    ! [SV131: $i] :
      ( ( ( ( v3_struct_0 @ SV131 )
          | ~ ( v10_lattices @ SV131 )
          | ~ ( l3_lattices @ SV131 ) )
        = $true )
      | ( ( ! [SY463: $i] :
              ( ~ ( m1_filter_0 @ SY463 @ SV131 )
              | ! [SY464: $i] :
                  ( ~ ( m1_filter_0 @ SY464 @ SV131 )
                  | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SY463 @ SY464 ) @ SV131 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7572]) ).

thf(7834,plain,
    ! [SV132: $i] :
      ( ( ( ( v3_struct_0 @ SV132 )
          | ~ ( v10_lattices @ SV132 )
          | ~ ( v3_filter_0 @ SV132 )
          | ~ ( l3_lattices @ SV132 ) )
        = $true )
      | ( ( ! [SY465: $i] :
              ( ~ ( m1_filter_0 @ SY465 @ SV132 )
              | ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SY465 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7573]) ).

thf(7835,plain,
    ! [SV204: $i,SV133: $i] :
      ( ( ( v1_xboole_0 @ SV133 )
        | ~ ( v1_relat_1 @ SV204 )
        | ( m1_filter_1 @ ( sK10_C @ SV204 @ SV133 ) @ SV133 @ SV204 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7574]) ).

thf(7836,plain,
    ! [SV205: $i,SV134: $i] :
      ( ( ( v1_xboole_0 @ SV134 )
        | ~ ( v1_relat_1 @ SV205 )
        | ( m2_filter_1 @ ( sK9_C @ SV205 @ SV134 ) @ SV134 @ SV205 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7575]) ).

thf(7837,plain,
    ! [SV206: $i,SV135: $i] :
      ( ( ! [SY559: $i] :
            ( ( v3_struct_0 @ SV135 )
            | ~ ( v10_lattices @ SV135 )
            | ~ ( l3_lattices @ SV135 )
            | ~ ( m1_filter_0 @ SV206 @ SV135 )
            | ~ ( m1_filter_0 @ SY559 @ SV135 )
            | ( ( k1_filter_1 @ SV135 @ SV206 @ SY559 )
              = ( k3_xboole_0 @ SV206 @ SY559 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7576]) ).

thf(7838,plain,
    ! [SV136: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV136 ) )
        = $true )
      | ( ( ! [SY470: $i] :
              ( ~ ( m1_pre_topc @ SY470 @ SV136 )
              | ( r1_tarski @ ( u1_struct_0 @ SY470 ) @ ( u1_struct_0 @ SV136 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7577]) ).

thf(7839,plain,
    ! [SV137: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV137 ) )
        = $true )
      | ( ( m1_eqrel_1 @ ( k15_borsuk_1 @ SV137 ) @ ( u1_struct_0 @ SV137 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7578]) ).

thf(7840,plain,
    ! [SV207: $i,SV138: $i] :
      ( ( ~ ( l1_struct_0 @ SV138 )
        | ( v3_struct_0 @ SV207 )
        | ~ ( l1_struct_0 @ SV207 )
        | ~ ( v1_xboole_0 @ ( k17_grcat_1 @ SV138 @ SV207 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7579]) ).

thf(7841,plain,
    ! [SV208: $i,SV139: $i] :
      ( ( ~ ( l1_struct_0 @ SV139 )
        | ~ ( l1_struct_0 @ SV208 )
        | ( m5_grcat_1 @ ( sK3_C @ SV208 @ SV139 ) @ SV139 @ SV208 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7580]) ).

thf(7842,plain,
    ! [SV140: $i] :
      ( ( ( ( v3_struct_0 @ SV140 )
          | ~ ( v10_lattices @ SV140 )
          | ~ ( l3_lattices @ SV140 ) )
        = $true )
      | ( ( ! [SY473: $i] :
              ( ( v3_struct_0 @ SY473 )
              | ~ ( v10_lattices @ SY473 )
              | ~ ( v11_lattices @ SY473 )
              | ~ ( l3_lattices @ SY473 )
              | ! [SY474: $i] :
                  ( ~ ( m1_lattice4 @ SY474 @ SY473 @ SV140 )
                  | ~ ( v2_lattice4 @ SY474 @ SY473 @ SV140 )
                  | ( v11_lattices @ SV140 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7581]) ).

thf(7843,plain,
    ! [SV141: $i] :
      ( ( ( ( v3_struct_0 @ SV141 )
          | ~ ( v10_lattices @ SV141 )
          | ~ ( v17_lattices @ SV141 )
          | ( v3_realset2 @ SV141 )
          | ~ ( l3_lattices @ SV141 ) )
        = $true )
      | ( ( m1_lattice4 @ ( k13_lopclset @ SV141 ) @ SV141 @ ( k12_lopclset @ SV141 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7582]) ).

thf(7844,plain,
    ! [SV142: $i] :
      ( ( ( ( v3_struct_0 @ SV142 )
          | ~ ( v2_pre_topc @ SV142 )
          | ~ ( l1_pre_topc @ SV142 ) )
        = $true )
      | ( ( m1_subset_1 @ ( k2_pre_topc @ SV142 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7583]) ).

thf(7845,plain,
    ! [SV143: $i] :
      ( ( ( ( v3_struct_0 @ SV143 )
          | ~ ( v2_pre_topc @ SV143 )
          | ~ ( l1_pre_topc @ SV143 ) )
        = $true )
      | ( ( m1_subset_1 @ ( k1_pre_topc @ SV143 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV143 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7584]) ).

thf(7846,plain,
    ! [SV144: $i] :
      ( ( ( ( v3_struct_0 @ SV144 )
          | ~ ( v10_lattices @ SV144 )
          | ~ ( v17_lattices @ SV144 )
          | ( v3_realset2 @ SV144 )
          | ~ ( l3_lattices @ SV144 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV144 )
          = ( k2_relat_1 @ ( k9_lopclset @ SV144 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7585]) ).

thf(7847,plain,
    ! [SV145: $i] :
      ( ( ( ( v3_struct_0 @ SV145 )
          | ~ ( v10_lattices @ SV145 )
          | ~ ( v17_lattices @ SV145 )
          | ( v3_realset2 @ SV145 )
          | ~ ( l3_lattices @ SV145 ) )
        = $true )
      | ( ( ( k3_tarski @ ( k10_lopclset @ SV145 ) )
          = ( k7_lopclset @ SV145 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7586]) ).

thf(7848,plain,
    ! [SV146: $i] :
      ( ( ( ( v3_struct_0 @ SV146 )
          | ~ ( v10_lattices @ SV146 )
          | ~ ( v17_lattices @ SV146 )
          | ( v3_realset2 @ SV146 )
          | ~ ( l3_lattices @ SV146 ) )
        = $true )
      | ( ( r1_tarski @ ( k10_lopclset @ SV146 ) @ ( k1_lopclset @ ( k11_lopclset @ SV146 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7587]) ).

thf(7849,plain,
    ! [SV147: $i] :
      ( ( ( ( v3_struct_0 @ SV147 )
          | ~ ( v10_lattices @ SV147 )
          | ~ ( v17_lattices @ SV147 )
          | ( v3_realset2 @ SV147 )
          | ~ ( l3_lattices @ SV147 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV147 )
          = ( k1_lopclset @ ( k11_lopclset @ SV147 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7588]) ).

thf(7850,plain,
    ! [SV148: $i] :
      ( ( ( ( v3_struct_0 @ SV148 )
          | ~ ( v10_lattices @ SV148 )
          | ~ ( v17_lattices @ SV148 )
          | ( v3_realset2 @ SV148 )
          | ~ ( l3_lattices @ SV148 ) )
        = $true )
      | ( ( ( k2_relat_1 @ ( k13_lopclset @ SV148 ) )
          = ( u1_struct_0 @ ( k12_lopclset @ SV148 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7589]) ).

thf(7851,plain,
    ! [SV149: $i] :
      ( ( ( ( v3_struct_0 @ SV149 )
          | ~ ( v10_lattices @ SV149 )
          | ~ ( v17_lattices @ SV149 )
          | ( v3_realset2 @ SV149 )
          | ~ ( l3_lattices @ SV149 ) )
        = $true )
      | ( ( v3_lattice4 @ ( k13_lopclset @ SV149 ) @ SV149 @ ( k12_lopclset @ SV149 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7590]) ).

thf(7852,plain,
    ! [SV150: $i] :
      ( ( ( ( v3_struct_0 @ SV150 )
          | ~ ( v2_pre_topc @ SV150 )
          | ~ ( l1_pre_topc @ SV150 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7593]) ).

thf(7853,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK44_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7594]) ).

thf(7854,plain,
    ( ( ~ ( v1_relat_1 @ sK44_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7594]) ).

thf(7855,plain,
    ! [SV151: $i] :
      ( ( ( ( v3_struct_0 @ SV151 )
          | ~ ( v10_lattices @ SV151 )
          | ~ ( l3_lattices @ SV151 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY475: $i] :
                    ( ( v3_struct_0 @ SY475 )
                    | ~ ( v10_lattices @ SY475 )
                    | ~ ( l3_lattices @ SY475 )
                    | ~ ( v12_lattices @ SV151 )
                    | ~ ( v12_lattices @ SY475 )
                    | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY475 ) ) )
              | ~ ~ ( ~ ! [SY476: $i] :
                          ( ( v3_struct_0 @ SY476 )
                          | ~ ( v10_lattices @ SY476 )
                          | ~ ( l3_lattices @ SY476 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                          | ( v12_lattices @ SV151 ) )
                    | ~ ! [SY477: $i] :
                          ( ( v3_struct_0 @ SY477 )
                          | ~ ( v10_lattices @ SY477 )
                          | ~ ( l3_lattices @ SY477 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                          | ( v12_lattices @ SY477 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7595]) ).

thf(7856,plain,
    ! [SV152: $i] :
      ( ( ( ( v3_struct_0 @ SV152 )
          | ~ ( v10_lattices @ SV152 )
          | ~ ( l3_lattices @ SV152 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY478: $i] :
                    ( ( v3_struct_0 @ SY478 )
                    | ~ ( v10_lattices @ SY478 )
                    | ~ ( l3_lattices @ SY478 )
                    | ~ ( r1_filter_1 @ SV152 @ SY478 )
                    | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY478 ) ) )
              | ~ ! [SY479: $i] :
                    ( ( v3_struct_0 @ SY479 )
                    | ~ ( v10_lattices @ SY479 )
                    | ~ ( l3_lattices @ SY479 )
                    | ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY479 ) )
                    | ( r1_filter_1 @ SV152 @ SY479 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7596]) ).

thf(7857,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK35_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7597]) ).

thf(7858,plain,
    ( ( ~ ~ ( v1_realset1 @ sK35_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7597]) ).

thf(7859,plain,
    ! [SV153: $i] :
      ( ( ( ( v3_struct_0 @ SV153 )
          | ~ ( v2_pre_topc @ SV153 )
          | ~ ( l1_pre_topc @ SV153 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY480: $i] :
                    ( ~ ( m1_borsuk_1 @ SY480 @ SV153 )
                    | ~ ( v1_xboole_0 @ SY480 ) )
              | ~ ! [SY481: $i] :
                    ( ~ ( m1_borsuk_1 @ SY481 @ SV153 )
                    | ( m1_eqrel_1 @ SY481 @ ( u1_struct_0 @ SV153 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7598]) ).

thf(7860,plain,
    ( ( ~ ( l1_pre_topc @ sK71_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7599]) ).

thf(7861,plain,
    ( ( ~ ( v1_pre_topc @ sK71_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7599]) ).

thf(7862,plain,
    ( ( ~ ~ ( ~ ( v1_relat_1 @ sK41_A )
            | ~ ( v1_xboole_0 @ sK41_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7600]) ).

thf(7863,plain,
    ( ( ~ ( v1_funct_1 @ sK41_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7600]) ).

thf(7864,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7601]) ).

thf(7865,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( l3_lattices @ ( k12_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7601]) ).

thf(7866,plain,
    ( ( ~ ( v1_funct_1 @ sK42_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7602]) ).

thf(7867,plain,
    ( ( ~ ( v1_relat_1 @ sK42_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7602]) ).

thf(7868,plain,
    ( ( ~ ( v1_relat_1 @ sK45_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7603]) ).

thf(7869,plain,
    ( ( ~ ( v1_xboole_0 @ sK45_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7603]) ).

thf(7870,plain,
    ( ( ~ ( l1_struct_0 @ sK34_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7604]) ).

thf(7871,plain,
    ( ( ~ ( v1_struct_0 @ sK34_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7604]) ).

thf(7872,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_vectsp_1 @ SX0 )
            | ( l1_rlvect_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7605]) ).

thf(7873,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_vectsp_1 @ SX0 )
            | ( l2_vectsp_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7605]) ).

thf(7874,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( l1_pre_topc @ SX0 )
                  | ( v3_struct_0 @ SX1 )
                  | ~ ( v2_pre_topc @ SX1 )
                  | ~ ( l1_pre_topc @ SX1 )
                  | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( l1_pre_topc @ SX0 )
                  | ( v3_struct_0 @ SX1 )
                  | ~ ( v2_pre_topc @ SX1 )
                  | ~ ( l1_pre_topc @ SX1 )
                  | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7606]) ).

thf(7875,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7606]) ).

thf(7876,plain,
    ! [SV154: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV154 ) )
        = $true )
      | ( ( ~ ( ~ ( m1_pre_topc @ ( sK69_B @ SV154 ) @ SV154 )
              | ~ ( v1_pre_topc @ ( sK69_B @ SV154 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7607]) ).

thf(7877,plain,
    ( ( ~ ~ ( ~ ( l1_rlvect_1 @ sK58_A )
            | ~ ~ ( v3_struct_0 @ sK58_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7608]) ).

thf(7878,plain,
    ( ( ~ ( v13_vectsp_1 @ sK58_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7608]) ).

thf(7879,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( l1_pre_topc @ sK70_A )
                  | ~ ~ ( v3_struct_0 @ sK70_A ) )
            | ~ ( v1_pre_topc @ sK70_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7609]) ).

thf(7880,plain,
    ( ( ~ ( v2_pre_topc @ sK70_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7609]) ).

thf(7881,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( v1_relat_1 @ SX1 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ( v1_relat_1 @ ( k5_relat_1 @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7610]) ).

thf(7882,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( v1_relat_1 @ SX1 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ( v1_xboole_0 @ ( k5_relat_1 @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7610]) ).

thf(7883,plain,
    ! [SV155: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV155 )
          | ~ ( v2_pre_topc @ SV155 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 )
                    | ~ ( v1_pre_topc @ ( sK67_B @ SV155 ) ) )
              | ~ ( v2_pre_topc @ ( sK67_B @ SV155 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7611]) ).

thf(7884,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 != k1_xboole_0 )
            | ( v1_xboole_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7612]) ).

thf(7885,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( SX0 = k1_xboole_0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7612]) ).

thf(7886,plain,
    ( ( ~ ~ ( ~ ( l1_vectsp_1 @ sK61_A )
            | ~ ~ ( v3_struct_0 @ sK61_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7613]) ).

thf(7887,plain,
    ( ( ~ ( v1_vectsp_1 @ sK61_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7613]) ).

thf(7888,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l1_struct_0 @ SX0 )
            | ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7614]) ).

thf(7889,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l1_struct_0 @ SX0 )
            | ( v1_setfam_1 @ ( k15_borsuk_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7614]) ).

thf(7890,plain,
    ! [SV156: $i] :
      ( ( ( ( v3_struct_0 @ SV156 )
          | ~ ( v10_lattices @ SV156 )
          | ~ ( l3_lattices @ SV156 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY482: $i] :
                    ( ( v3_struct_0 @ SY482 )
                    | ~ ( v10_lattices @ SY482 )
                    | ~ ( l3_lattices @ SY482 )
                    | ! [SY483: $i] :
                        ( ~ ( m1_lattice4 @ SY483 @ SV156 @ SY482 )
                        | ~ ( v3_lattice4 @ SY483 @ SV156 @ SY482 ) )
                    | ( r1_filter_1 @ SV156 @ SY482 ) )
              | ~ ! [SY484: $i] :
                    ( ( v3_struct_0 @ SY484 )
                    | ~ ( v10_lattices @ SY484 )
                    | ~ ( l3_lattices @ SY484 )
                    | ~ ( r1_filter_1 @ SV156 @ SY484 )
                    | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 )
                        | ~ ( v3_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7615]) ).

thf(7891,plain,
    ( ( ~ ~ ( ~ ( v1_funct_1 @ sK40_A )
            | ~ ( v1_relat_1 @ sK40_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7616]) ).

thf(7892,plain,
    ( ( ~ ( v2_funct_1 @ sK40_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7616]) ).

thf(7893,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v15_lattices @ SX0 )
                  | ~ ( v3_struct_0 @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v15_lattices @ SX0 )
                  | ( v13_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7617]) ).

thf(7894,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ( v14_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7617]) ).

thf(7895,plain,
    ! [SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                                      ( ( v3_struct_0 @ SY485 )
                                      | ~ ( v10_lattices @ SY485 )
                                      | ~ ( l3_lattices @ SY485 )
                                      | ( v3_struct_0 @ SV157 )
                                      | ~ ( v10_lattices @ SV157 )
                                      | ~ ( v17_lattices @ SV157 )
                                      | ~ ( l3_lattices @ SV157 )
                                      | ( v3_struct_0 @ SY485 )
                                      | ~ ( v10_lattices @ SY485 )
                                      | ~ ( v17_lattices @ SY485 )
                                      | ~ ( l3_lattices @ SY485 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                                | ~ ! [SY486: $i] :
                                      ( ( v3_struct_0 @ SY486 )
                                      | ~ ( v10_lattices @ SY486 )
                                      | ~ ( l3_lattices @ SY486 )
                                      | ( v3_struct_0 @ SV157 )
                                      | ~ ( v10_lattices @ SV157 )
                                      | ~ ( v17_lattices @ SV157 )
                                      | ~ ( l3_lattices @ SV157 )
                                      | ( v3_struct_0 @ SY486 )
                                      | ~ ( v10_lattices @ SY486 )
                                      | ~ ( v17_lattices @ SY486 )
                                      | ~ ( l3_lattices @ SY486 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                          | ~ ! [SY487: $i] :
                                ( ( v3_struct_0 @ SY487 )
                                | ~ ( v10_lattices @ SY487 )
                                | ~ ( l3_lattices @ SY487 )
                                | ( v3_struct_0 @ SV157 )
                                | ~ ( v10_lattices @ SV157 )
                                | ~ ( v17_lattices @ SV157 )
                                | ~ ( l3_lattices @ SV157 )
                                | ( v3_struct_0 @ SY487 )
                                | ~ ( v10_lattices @ SY487 )
                                | ~ ( v17_lattices @ SY487 )
                                | ~ ( l3_lattices @ SY487 )
                                | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
                    | ~ ! [SY488: $i] :
                          ( ( v3_struct_0 @ SY488 )
                          | ~ ( v10_lattices @ SY488 )
                          | ~ ( l3_lattices @ SY488 )
                          | ( v3_struct_0 @ SV157 )
                          | ~ ( v10_lattices @ SV157 )
                          | ~ ( v17_lattices @ SV157 )
                          | ~ ( l3_lattices @ SV157 )
                          | ( v3_struct_0 @ SY488 )
                          | ~ ( v10_lattices @ SY488 )
                          | ~ ( v17_lattices @ SY488 )
                          | ~ ( l3_lattices @ SY488 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                              ( ( v3_struct_0 @ SY489 )
                                                              | ~ ( v10_lattices @ SY489 )
                                                              | ~ ( l3_lattices @ SY489 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v3_struct_0 @ SV157 ) )
                                                        | ~ ! [SY490: $i] :
                                                              ( ( v3_struct_0 @ SY490 )
                                                              | ~ ( v10_lattices @ SY490 )
                                                              | ~ ( l3_lattices @ SY490 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ( v10_lattices @ SV157 ) ) )
                                                  | ~ ! [SY491: $i] :
                                                        ( ( v3_struct_0 @ SY491 )
                                                        | ~ ( v10_lattices @ SY491 )
                                                        | ~ ( l3_lattices @ SY491 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ( v17_lattices @ SV157 ) ) )
                                            | ~ ! [SY492: $i] :
                                                  ( ( v3_struct_0 @ SY492 )
                                                  | ~ ( v10_lattices @ SY492 )
                                                  | ~ ( l3_lattices @ SY492 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ( l3_lattices @ SV157 ) ) )
                                      | ~ ! [SY493: $i] :
                                            ( ( v3_struct_0 @ SY493 )
                                            | ~ ( v10_lattices @ SY493 )
                                            | ~ ( l3_lattices @ SY493 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v3_struct_0 @ SY493 ) ) )
                                | ~ ! [SY494: $i] :
                                      ( ( v3_struct_0 @ SY494 )
                                      | ~ ( v10_lattices @ SY494 )
                                      | ~ ( l3_lattices @ SY494 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ( v10_lattices @ SY494 ) ) )
                          | ~ ! [SY495: $i] :
                                ( ( v3_struct_0 @ SY495 )
                                | ~ ( v10_lattices @ SY495 )
                                | ~ ( l3_lattices @ SY495 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ( v17_lattices @ SY495 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ( v3_struct_0 @ SY496 )
                          | ~ ( v10_lattices @ SY496 )
                          | ~ ( l3_lattices @ SY496 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ( l3_lattices @ SY496 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7618]) ).

thf(7896,plain,
    ! [SV158: $i] :
      ( ( ( ( v3_struct_0 @ SV158 )
          | ~ ( v10_lattices @ SV158 )
          | ~ ( l3_lattices @ SV158 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY497: $i] :
                    ( ( v3_struct_0 @ SY497 )
                    | ~ ( v10_lattices @ SY497 )
                    | ~ ( l3_lattices @ SY497 )
                    | ~ ( v3_filter_0 @ SV158 )
                    | ~ ( v3_filter_0 @ SY497 )
                    | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY497 ) ) )
              | ~ ~ ( ~ ! [SY498: $i] :
                          ( ( v3_struct_0 @ SY498 )
                          | ~ ( v10_lattices @ SY498 )
                          | ~ ( l3_lattices @ SY498 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                          | ( v3_filter_0 @ SV158 ) )
                    | ~ ! [SY499: $i] :
                          ( ( v3_struct_0 @ SY499 )
                          | ~ ( v10_lattices @ SY499 )
                          | ~ ( l3_lattices @ SY499 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                          | ( v3_filter_0 @ SY499 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7619]) ).

thf(7897,plain,
    ( ( ~ ( l3_vectsp_1 @ sK18_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7620]) ).

thf(7898,plain,
    ( ( ~ ( v3_vectsp_1 @ sK18_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7620]) ).

thf(7899,plain,
    ( ( ~ ( l2_rlvect_1 @ sK64_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7621]) ).

thf(7900,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK64_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7621]) ).

thf(7901,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_relat_1 @ ( k1_relat_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7622]) ).

thf(7902,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_xboole_0 @ ( k1_relat_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7622]) ).

thf(7903,plain,
    ! [SV209: $i,SV159: $i] :
      ( ( ~ ( l1_struct_0 @ SV159 )
        | ( v3_struct_0 @ SV209 )
        | ~ ( l1_struct_0 @ SV209 )
        | ~ ( ~ ( m5_grcat_1 @ ( sK4_C @ SV209 @ SV159 ) @ SV159 @ SV209 )
            | ~ ~ ( v1_xboole_0 @ ( sK4_C @ SV209 @ SV159 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7623]) ).

thf(7904,plain,
    ( ( ~ ~ ( ~ ( l3_lattices @ sK73_A )
            | ~ ~ ( v3_struct_0 @ sK73_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7624]) ).

thf(7905,plain,
    ( ( ~ ( v3_lattices @ sK73_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7624]) ).

thf(7906,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( l3_lattices @ SX1 )
            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7625]) ).

thf(7907,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( l3_lattices @ SX1 )
            | ( v3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7625]) ).

thf(7908,plain,
    ! [SV160: $i] :
      ( ( ( ( v3_struct_0 @ SV160 )
          | ~ ( l3_lattices @ SV160 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                                            ( ( v3_struct_0 @ SY501 )
                                            | ~ ( l3_lattices @ SY501 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                            | ~ ( v3_struct_0 @ SV160 ) )
                                      | ~ ! [SY502: $i] :
                                            ( ( v3_struct_0 @ SY502 )
                                            | ~ ( l3_lattices @ SY502 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                            | ( v10_lattices @ SV160 ) ) )
                                | ~ ! [SY503: $i] :
                                      ( ( v3_struct_0 @ SY503 )
                                      | ~ ( l3_lattices @ SY503 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                      | ( l3_lattices @ SV160 ) ) )
                          | ~ ! [SY504: $i] :
                                ( ( v3_struct_0 @ SY504 )
                                | ~ ( l3_lattices @ SY504 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                                | ~ ( v3_struct_0 @ SY504 ) ) )
                    | ~ ! [SY505: $i] :
                          ( ( v3_struct_0 @ SY505 )
                          | ~ ( l3_lattices @ SY505 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY505 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                          | ( v10_lattices @ SY505 ) ) )
              | ~ ! [SY506: $i] :
                    ( ( v3_struct_0 @ SY506 )
                    | ~ ( l3_lattices @ SY506 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY506 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                    | ( l3_lattices @ SY506 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7626]) ).

thf(7909,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v1_realset1 @ ( u1_struct_0 @ SX0 ) )
            | ( v3_realset2 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7627]) ).

thf(7910,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v3_realset2 @ SX0 )
            | ( v1_realset1 @ ( u1_struct_0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7627]) ).

thf(7911,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( l3_lattices @ SX1 )
            | ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7628]) ).

thf(7912,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( l3_lattices @ SX1 )
            | ( v3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7628]) ).

thf(7913,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v1_finset_1 @ ( u1_struct_0 @ SX0 ) )
            | ( v6_group_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7629]) ).

thf(7914,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v6_group_1 @ SX0 )
            | ( v1_finset_1 @ ( u1_struct_0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7629]) ).

thf(7915,plain,
    ( ( ~ ( l1_struct_0 @ sK78_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7630]) ).

thf(7916,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK78_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7630]) ).

thf(7917,plain,
    ! [SV161: $i] :
      ( ( ( ( v3_struct_0 @ SV161 )
          | ~ ( v10_lattices @ SV161 )
          | ~ ( v17_lattices @ SV161 )
          | ~ ( l3_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY507: $i] :
                    ( ~ ( m1_filter_0 @ SY507 @ SV161 )
                    | ( SY507
                      = ( k1_filter_0 @ SV161 ) )
                    | ~ ( v2_filter_0 @ SY507 @ SV161 )
                    | ( v1_filter_0 @ SY507 @ SV161 ) )
              | ~ ~ ( ~ ! [SY508: $i] :
                          ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                          | ~ ( v1_filter_0 @ SY508 @ SV161 )
                          | ( SY508
                           != ( k1_filter_0 @ SV161 ) ) )
                    | ~ ! [SY509: $i] :
                          ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                          | ~ ( v1_filter_0 @ SY509 @ SV161 )
                          | ( v2_filter_0 @ SY509 @ SV161 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7631]) ).

thf(7918,plain,
    ( ( ~ ~ ( ~ ( l3_vectsp_1 @ sK13_A )
            | ~ ( v3_vectsp_1 @ sK13_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7632]) ).

thf(7919,plain,
    ( ( ~ ( v4_realset2 @ sK13_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7632]) ).

thf(7920,plain,
    ( ( ~ ( l2_struct_0 @ sK77_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7633]) ).

thf(7921,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK77_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7633]) ).

thf(7922,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK37_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7634]) ).

thf(7923,plain,
    ( ( ~ ( v1_fraenkel @ sK37_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7634]) ).

thf(7924,plain,
    ( ( ~ ~ ( ~ ( l2_vectsp_1 @ sK60_A )
            | ~ ~ ( v3_struct_0 @ sK60_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7635]) ).

thf(7925,plain,
    ( ( ~ ( v2_vectsp_1 @ sK60_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7635]) ).

thf(7926,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( l1_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7636]) ).

thf(7927,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( l2_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7636]) ).

thf(7928,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v13_lattices @ SX0 )
            | ~ ( v14_lattices @ SX0 )
            | ~ ( v3_struct_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7637]) ).

thf(7929,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v13_lattices @ SX0 )
            | ~ ( v14_lattices @ SX0 )
            | ( v15_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7637]) ).

thf(7930,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK5_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7638]) ).

thf(7931,plain,
    ( ( ~ ( v5_grcat_1 @ sK5_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7638]) ).

thf(7932,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v13_lattices @ ( k1_lattice2 @ SX0 ) )
            | ( v14_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7639]) ).

thf(7933,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v14_lattices @ SX0 )
            | ( v13_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7639]) ).

thf(7934,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v13_lattices @ SX0 )
            | ~ ( v14_lattices @ SX0 )
            | ( v15_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7640]) ).

thf(7935,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v15_lattices @ SX0 )
                  | ( v13_lattices @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v15_lattices @ SX0 )
                  | ( v14_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7640]) ).

thf(7936,plain,
    ( ( ~ ( l3_vectsp_1 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7641]) ).

thf(7937,plain,
    ( ( ~ ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7641]) ).

thf(7938,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v1_xboole_0 @ ( u1_struct_0 @ SX0 ) )
            | ( v3_struct_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7642]) ).

thf(7939,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v3_struct_0 @ SX0 )
            | ( v1_xboole_0 @ ( u1_struct_0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7642]) ).

thf(7940,plain,
    ( ( ~ ~ ( v3_struct_0 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7643]) ).

thf(7941,plain,
    ( ( ~ ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7643]) ).

thf(7942,plain,
    ! [SV162: $i] :
      ( ( ( ( v3_struct_0 @ SV162 )
          | ~ ( v10_lattices @ SV162 )
          | ~ ( v17_lattices @ SV162 )
          | ~ ( l3_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY510: $i] :
                                ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                          | ~ ! [SY511: $i] :
                                ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                                | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
                    | ~ ! [SY512: $i] :
                          ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                          | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
              | ~ ! [SY513: $i] :
                    ( ~ ( m1_filter_0 @ SY513 @ SV162 )
                    | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7644]) ).

thf(7943,plain,
    ! [SV163: $i] :
      ( ( ( ( v3_struct_0 @ SV163 )
          | ~ ( v2_pre_topc @ SV163 )
          | ~ ( l1_pre_topc @ SV163 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                                | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                          | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
                    | ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK7_B @ SV163 ) @ SV163 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7645]) ).

thf(7944,plain,
    ( ( ~ ( l2_vectsp_1 @ sK19_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7646]) ).

thf(7945,plain,
    ( ( ~ ( v2_vectsp_1 @ sK19_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7646]) ).

thf(7946,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK38_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7647]) ).

thf(7947,plain,
    ( ( ~ ( v1_finset_1 @ sK38_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7647]) ).

thf(7948,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v1_funct_1 @ ( k8_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7648]) ).

thf(7949,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v1_relat_1 @ ( k8_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7648]) ).

thf(7950,plain,
    ( ( ~ ~ ( ~ ( l3_vectsp_1 @ sK56_A )
            | ~ ( v3_vectsp_1 @ sK56_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7649]) ).

thf(7951,plain,
    ( ( ~ ~ ( v3_realset2 @ sK56_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7649]) ).

thf(7952,plain,
    ( ( ~ ( l1_rlvect_1 @ k1_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7650]) ).

thf(7953,plain,
    ( ( ~ ( v1_rlvect_1 @ k1_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7650]) ).

thf(7954,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_relat_1 @ ( k4_relat_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7651]) ).

thf(7955,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_xboole_0 @ ( k4_relat_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7651]) ).

thf(7956,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_relat_1 @ ( k2_relat_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7652]) ).

thf(7957,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_xboole_0 @ SX0 )
            | ( v1_xboole_0 @ ( k2_relat_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7652]) ).

thf(7958,plain,
    ! [SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                                      ( ( v3_struct_0 @ SY514 )
                                      | ~ ( v10_lattices @ SY514 )
                                      | ~ ( l3_lattices @ SY514 )
                                      | ( v3_struct_0 @ SV164 )
                                      | ~ ( v10_lattices @ SV164 )
                                      | ~ ( v11_lattices @ SV164 )
                                      | ~ ( l3_lattices @ SV164 )
                                      | ( v3_struct_0 @ SY514 )
                                      | ~ ( v10_lattices @ SY514 )
                                      | ~ ( v11_lattices @ SY514 )
                                      | ~ ( l3_lattices @ SY514 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                                | ~ ! [SY515: $i] :
                                      ( ( v3_struct_0 @ SY515 )
                                      | ~ ( v10_lattices @ SY515 )
                                      | ~ ( l3_lattices @ SY515 )
                                      | ( v3_struct_0 @ SV164 )
                                      | ~ ( v10_lattices @ SV164 )
                                      | ~ ( v11_lattices @ SV164 )
                                      | ~ ( l3_lattices @ SV164 )
                                      | ( v3_struct_0 @ SY515 )
                                      | ~ ( v10_lattices @ SY515 )
                                      | ~ ( v11_lattices @ SY515 )
                                      | ~ ( l3_lattices @ SY515 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                          | ~ ! [SY516: $i] :
                                ( ( v3_struct_0 @ SY516 )
                                | ~ ( v10_lattices @ SY516 )
                                | ~ ( l3_lattices @ SY516 )
                                | ( v3_struct_0 @ SV164 )
                                | ~ ( v10_lattices @ SV164 )
                                | ~ ( v11_lattices @ SV164 )
                                | ~ ( l3_lattices @ SV164 )
                                | ( v3_struct_0 @ SY516 )
                                | ~ ( v10_lattices @ SY516 )
                                | ~ ( v11_lattices @ SY516 )
                                | ~ ( l3_lattices @ SY516 )
                                | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
                    | ~ ! [SY517: $i] :
                          ( ( v3_struct_0 @ SY517 )
                          | ~ ( v10_lattices @ SY517 )
                          | ~ ( l3_lattices @ SY517 )
                          | ( v3_struct_0 @ SV164 )
                          | ~ ( v10_lattices @ SV164 )
                          | ~ ( v11_lattices @ SV164 )
                          | ~ ( l3_lattices @ SV164 )
                          | ( v3_struct_0 @ SY517 )
                          | ~ ( v10_lattices @ SY517 )
                          | ~ ( v11_lattices @ SY517 )
                          | ~ ( l3_lattices @ SY517 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                              ( ( v3_struct_0 @ SY518 )
                                                              | ~ ( v10_lattices @ SY518 )
                                                              | ~ ( l3_lattices @ SY518 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v3_struct_0 @ SV164 ) )
                                                        | ~ ! [SY519: $i] :
                                                              ( ( v3_struct_0 @ SY519 )
                                                              | ~ ( v10_lattices @ SY519 )
                                                              | ~ ( l3_lattices @ SY519 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ( v10_lattices @ SV164 ) ) )
                                                  | ~ ! [SY520: $i] :
                                                        ( ( v3_struct_0 @ SY520 )
                                                        | ~ ( v10_lattices @ SY520 )
                                                        | ~ ( l3_lattices @ SY520 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ( v11_lattices @ SV164 ) ) )
                                            | ~ ! [SY521: $i] :
                                                  ( ( v3_struct_0 @ SY521 )
                                                  | ~ ( v10_lattices @ SY521 )
                                                  | ~ ( l3_lattices @ SY521 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ( l3_lattices @ SV164 ) ) )
                                      | ~ ! [SY522: $i] :
                                            ( ( v3_struct_0 @ SY522 )
                                            | ~ ( v10_lattices @ SY522 )
                                            | ~ ( l3_lattices @ SY522 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v3_struct_0 @ SY522 ) ) )
                                | ~ ! [SY523: $i] :
                                      ( ( v3_struct_0 @ SY523 )
                                      | ~ ( v10_lattices @ SY523 )
                                      | ~ ( l3_lattices @ SY523 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ( v10_lattices @ SY523 ) ) )
                          | ~ ! [SY524: $i] :
                                ( ( v3_struct_0 @ SY524 )
                                | ~ ( v10_lattices @ SY524 )
                                | ~ ( l3_lattices @ SY524 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ( v11_lattices @ SY524 ) ) )
                    | ~ ! [SY525: $i] :
                          ( ( v3_struct_0 @ SY525 )
                          | ~ ( v10_lattices @ SY525 )
                          | ~ ( l3_lattices @ SY525 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ( l3_lattices @ SY525 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7653]) ).

thf(7959,plain,
    ! [SV165: $i] :
      ( ( ( ( v3_struct_0 @ SV165 )
          | ~ ( v10_lattices @ SV165 )
          | ~ ( l3_lattices @ SV165 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY526: $i] :
                    ( ( v3_struct_0 @ SY526 )
                    | ~ ( v10_lattices @ SY526 )
                    | ~ ( l3_lattices @ SY526 )
                    | ~ ( v15_lattices @ SV165 )
                    | ~ ( v15_lattices @ SY526 )
                    | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY526 ) ) )
              | ~ ~ ( ~ ! [SY527: $i] :
                          ( ( v3_struct_0 @ SY527 )
                          | ~ ( v10_lattices @ SY527 )
                          | ~ ( l3_lattices @ SY527 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                          | ( v15_lattices @ SV165 ) )
                    | ~ ! [SY528: $i] :
                          ( ( v3_struct_0 @ SY528 )
                          | ~ ( v10_lattices @ SY528 )
                          | ~ ( l3_lattices @ SY528 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                          | ( v15_lattices @ SY528 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7654]) ).

thf(7960,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7655]) ).

thf(7961,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7655]) ).

thf(7962,plain,
    ! [SV166: $i] :
      ( ( ( ( v3_struct_0 @ SV166 )
          | ~ ( l1_pre_topc @ SV166 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK68_B @ SV166 ) @ SV166 )
                    | ~ ~ ( v3_struct_0 @ ( sK68_B @ SV166 ) ) )
              | ~ ( v1_pre_topc @ ( sK68_B @ SV166 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7656]) ).

thf(7963,plain,
    ! [SV167: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV167 )
          | ~ ( v2_pre_topc @ SV167 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
                          | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
                    | ~ ( v2_pre_topc @ ( sK8_B @ SV167 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK8_B @ SV167 ) @ SV167 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7657]) ).

thf(7964,plain,
    ( ( ~ ( l1_group_1 @ sK22_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7658]) ).

thf(7965,plain,
    ( ( ~ ( v1_group_1 @ sK22_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7658]) ).

thf(7966,plain,
    ( ( ~ ~ ( ~ ( l3_vectsp_1 @ sK59_A )
            | ~ ~ ( v3_struct_0 @ sK59_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7659]) ).

thf(7967,plain,
    ( ( ~ ( v3_vectsp_1 @ sK59_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7659]) ).

thf(7968,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v13_lattices @ SX0 )
            | ~ ( v3_filter_0 @ SX0 )
            | ( v1_lattice2 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7660]) ).

thf(7969,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v1_lattice2 @ SX0 )
                  | ( v13_lattices @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v1_lattice2 @ SX0 )
                  | ( v3_filter_0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7660]) ).

thf(7970,plain,
    ( ( ~ ( v1_relat_1 @ sK43_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7661]) ).

thf(7971,plain,
    ( ( ~ ( v3_relat_1 @ sK43_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7661]) ).

thf(7972,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7662]) ).

thf(7973,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7662]) ).

thf(7974,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v6_group_1 @ SX0 )
            | ( v6_group_1 @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7663]) ).

thf(7975,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v6_group_1 @ ( k1_lattice2 @ SX0 ) )
            | ( v6_group_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7663]) ).

thf(7976,plain,
    ( ( ~ ~ ( v3_struct_0 @ k1_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7664]) ).

thf(7977,plain,
    ( ( ~ ( v1_rlvect_1 @ k1_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7664]) ).

thf(7978,plain,
    ! [SV168: $i] :
      ( ( ( ( v3_struct_0 @ SV168 )
          | ~ ( v10_lattices @ SV168 )
          | ~ ( l3_lattices @ SV168 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY529: $i] :
                    ( ( v3_struct_0 @ SY529 )
                    | ~ ( v10_lattices @ SY529 )
                    | ~ ( l3_lattices @ SY529 )
                    | ~ ( v14_lattices @ SV168 )
                    | ~ ( v14_lattices @ SY529 )
                    | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY529 ) ) )
              | ~ ~ ( ~ ! [SY530: $i] :
                          ( ( v3_struct_0 @ SY530 )
                          | ~ ( v10_lattices @ SY530 )
                          | ~ ( l3_lattices @ SY530 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                          | ( v14_lattices @ SV168 ) )
                    | ~ ! [SY531: $i] :
                          ( ( v3_struct_0 @ SY531 )
                          | ~ ( v10_lattices @ SY531 )
                          | ~ ( l3_lattices @ SY531 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                          | ( v14_lattices @ SY531 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7665]) ).

thf(7979,plain,
    ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ k22_borsuk_1 )
            | ~ ( v1_pre_topc @ k22_borsuk_1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7666]) ).

thf(7980,plain,
    ( ( ~ ( v2_pre_topc @ k22_borsuk_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7666]) ).

thf(7981,plain,
    ( ( ~ ( l2_rlvect_1 @ sK25_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7667]) ).

thf(7982,plain,
    ( ( ~ ( v2_rlvect_1 @ sK25_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7667]) ).

thf(7983,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK36_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7668]) ).

thf(7984,plain,
    ( ( ~ ( v1_realset1 @ sK36_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7668]) ).

thf(7985,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l2_vectsp_1 @ SX0 )
            | ( l1_vectsp_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7669]) ).

thf(7986,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l2_vectsp_1 @ SX0 )
            | ( l2_struct_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7669]) ).

thf(7987,plain,
    ( ( ~ ~ ( ~ ( l1_lattices @ sK74_A )
            | ~ ~ ( v3_struct_0 @ sK74_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7670]) ).

thf(7988,plain,
    ( ( ~ ( v1_lattices @ sK74_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7670]) ).

thf(7989,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ~ ( m1_filter_0 @ SX1 @ SX0 )
                        | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) )
                  | ~ ! [SX0: $i,SX1: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ~ ( m1_filter_0 @ SX1 @ SX0 )
                        | ( v3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( m1_filter_0 @ SX1 @ SX0 )
                  | ( v10_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7671]) ).

thf(7990,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ( l3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7671]) ).

thf(7991,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ( v3_pre_topc @ ( k2_pre_topc @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7672]) ).

thf(7992,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ( v4_pre_topc @ ( k2_pre_topc @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7672]) ).

thf(7993,plain,
    ( ( ~ ~ ( ~ ( l2_lattices @ sK75_A )
            | ~ ~ ( v3_struct_0 @ sK75_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7673]) ).

thf(7994,plain,
    ( ( ~ ( v2_lattices @ sK75_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7673]) ).

thf(7995,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK6_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7674]) ).

thf(7996,plain,
    ( ( ~ ( v4_grcat_1 @ sK6_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7674]) ).

thf(7997,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( l1_pre_topc @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( v2_pre_topc @ SX1 )
                  | ~ ( l1_pre_topc @ SX1 )
                  | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( l1_pre_topc @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( v2_pre_topc @ SX1 )
                  | ~ ( l1_pre_topc @ SX1 )
                  | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7675]) ).

thf(7998,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( l1_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ( l1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7675]) ).

thf(7999,plain,
    ( ( ~ ~ ( ~ ( l1_group_1 @ sK62_A )
            | ~ ~ ( v3_struct_0 @ sK62_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7676]) ).

thf(8000,plain,
    ( ( ~ ( v1_group_1 @ sK62_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7676]) ).

thf(8001,plain,
    ( ( ~ ( v1_relat_1 @ k1_xboole_0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7677]) ).

thf(8002,plain,
    ( ( ~ ( v1_xboole_0 @ k1_xboole_0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7677]) ).

thf(8003,plain,
    ( ( ~ ( l3_lattices @ sK76_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7678]) ).

thf(8004,plain,
    ( ( ~ ( v3_lattices @ sK76_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7678]) ).

thf(8005,plain,
    ( ( ~ ( l2_struct_0 @ sK33_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7679]) ).

thf(8006,plain,
    ( ( ~ ( v2_struct_0 @ sK33_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7679]) ).

thf(8007,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ~ ( v16_lattices @ SX0 )
            | ~ ( v3_struct_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7680]) ).

thf(8008,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ~ ( v16_lattices @ SX0 )
            | ( v17_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7680]) ).

thf(8009,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( l1_pre_topc @ SX0 )
                  | ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v2_pre_topc @ SX0 )
                  | ~ ( l1_pre_topc @ SX0 )
                  | ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7681]) ).

thf(8010,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ( l3_lattices @ ( k6_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7681]) ).

thf(8011,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( v1_relat_1 @ SX0 )
                  | ~ ( v1_xboole_0 @ SX0 )
                  | ~ ( v1_funct_1 @ SX0 )
                  | ( v1_funct_1 @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( v1_relat_1 @ SX0 )
                  | ~ ( v1_xboole_0 @ SX0 )
                  | ~ ( v1_funct_1 @ SX0 )
                  | ( v1_relat_1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7682]) ).

thf(8012,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_relat_1 @ SX0 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ~ ( v1_funct_1 @ SX0 )
            | ( v2_funct_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7682]) ).

thf(8013,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7683]) ).

thf(8014,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7683]) ).

thf(8015,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( v1_relat_1 @ SX1 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ( v1_relat_1 @ ( k5_relat_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7684]) ).

thf(8016,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( v1_relat_1 @ SX1 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ( v1_xboole_0 @ ( k5_relat_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7684]) ).

thf(8017,plain,
    ( ( ~ ( l1_rlvect_1 @ sK26_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7685]) ).

thf(8018,plain,
    ( ( ~ ( v1_rlvect_1 @ sK26_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7685]) ).

thf(8019,plain,
    ( ( ~ ( l1_vectsp_1 @ sK20_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7686]) ).

thf(8020,plain,
    ( ( ~ ( v1_vectsp_1 @ sK20_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7686]) ).

thf(8021,plain,
    ( ( ~ ( l1_lattices @ sK30_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7687]) ).

thf(8022,plain,
    ( ( ~ ( v1_lattices @ sK30_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7687]) ).

thf(8023,plain,
    ! [SV169: $i] :
      ( ( ( ( v3_struct_0 @ SV169 )
          | ~ ( v10_lattices @ SV169 )
          | ~ ( l3_lattices @ SV169 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY532: $i] :
                    ( ( v3_struct_0 @ SY532 )
                    | ~ ( v10_lattices @ SY532 )
                    | ~ ( l3_lattices @ SY532 )
                    | ~ ( v13_lattices @ SV169 )
                    | ~ ( v13_lattices @ SY532 )
                    | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY532 ) ) )
              | ~ ~ ( ~ ! [SY533: $i] :
                          ( ( v3_struct_0 @ SY533 )
                          | ~ ( v10_lattices @ SY533 )
                          | ~ ( l3_lattices @ SY533 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                          | ( v13_lattices @ SV169 ) )
                    | ~ ! [SY534: $i] :
                          ( ( v3_struct_0 @ SY534 )
                          | ~ ( v10_lattices @ SY534 )
                          | ~ ( l3_lattices @ SY534 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                          | ( v13_lattices @ SY534 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7688]) ).

thf(8024,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v3_realset2 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7689]) ).

thf(8025,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( l1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7689]) ).

thf(8026,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK39_A )
                  | ~ ( v1_relat_1 @ sK39_A ) )
            | ~ ( v2_funct_1 @ sK39_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7690]) ).

thf(8027,plain,
    ( ( ~ ( v1_xboole_0 @ sK39_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7690]) ).

thf(8028,plain,
    ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ k3_vectsp_1 )
            | ~ ( v2_group_1 @ k3_vectsp_1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7691]) ).

thf(8029,plain,
    ( ( ~ ( v3_vectsp_1 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7691]) ).

thf(8030,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                    ( ~ ( l3_lattices @ SX0 )
                                    | ( v3_struct_0 @ SX0 )
                                    | ~ ( v17_lattices @ SX0 )
                                    | ~ ( v3_struct_0 @ SX0 ) )
                              | ~ ! [SX0: $i] :
                                    ( ~ ( l3_lattices @ SX0 )
                                    | ( v3_struct_0 @ SX0 )
                                    | ~ ( v17_lattices @ SX0 )
                                    | ( v11_lattices @ SX0 ) ) )
                        | ~ ! [SX0: $i] :
                              ( ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ SX0 )
                              | ~ ( v17_lattices @ SX0 )
                              | ( v13_lattices @ SX0 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ( v14_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v15_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7692]) ).

thf(8031,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v16_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7692]) ).

thf(8032,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v13_lattices @ SX0 )
            | ( v14_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7693]) ).

thf(8033,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v14_lattices @ ( k1_lattice2 @ SX0 ) )
            | ( v13_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7693]) ).

thf(8034,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SX0 ) @ ( u1_struct_0 @ SX0 ) )
                | ~ ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SX0 ) @ ( u1_struct_0 @ SX0 ) )
                      | ~ ( ( ( sK11_B @ SX0 )
                           != ( sK12_SY394 @ SX0 ) ) ) ) )
            | ( v3_realset2 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7694]) ).

thf(8035,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l1_struct_0 @ SX0 )
            | ~ ( v3_realset2 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
                | ! [SX2: $i] :
                    ( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
                    | ( SX1 = SX2 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7694]) ).

thf(8036,plain,
    ! [SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                            ( ( v3_struct_0 @ SY535 )
                                            | ~ ( v10_lattices @ SY535 )
                                            | ~ ( l3_lattices @ SY535 )
                                            | ( v3_struct_0 @ SV170 )
                                            | ~ ( v10_lattices @ SV170 )
                                            | ~ ( v15_lattices @ SV170 )
                                            | ~ ( v16_lattices @ SV170 )
                                            | ~ ( l3_lattices @ SV170 )
                                            | ( v3_struct_0 @ SY535 )
                                            | ~ ( v10_lattices @ SY535 )
                                            | ~ ( v15_lattices @ SY535 )
                                            | ~ ( v16_lattices @ SY535 )
                                            | ~ ( l3_lattices @ SY535 )
                                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                                      | ~ ! [SY536: $i] :
                                            ( ( v3_struct_0 @ SY536 )
                                            | ~ ( v10_lattices @ SY536 )
                                            | ~ ( l3_lattices @ SY536 )
                                            | ( v3_struct_0 @ SV170 )
                                            | ~ ( v10_lattices @ SV170 )
                                            | ~ ( v15_lattices @ SV170 )
                                            | ~ ( v16_lattices @ SV170 )
                                            | ~ ( l3_lattices @ SV170 )
                                            | ( v3_struct_0 @ SY536 )
                                            | ~ ( v10_lattices @ SY536 )
                                            | ~ ( v15_lattices @ SY536 )
                                            | ~ ( v16_lattices @ SY536 )
                                            | ~ ( l3_lattices @ SY536 )
                                            | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                                | ~ ! [SY537: $i] :
                                      ( ( v3_struct_0 @ SY537 )
                                      | ~ ( v10_lattices @ SY537 )
                                      | ~ ( l3_lattices @ SY537 )
                                      | ( v3_struct_0 @ SV170 )
                                      | ~ ( v10_lattices @ SV170 )
                                      | ~ ( v15_lattices @ SV170 )
                                      | ~ ( v16_lattices @ SV170 )
                                      | ~ ( l3_lattices @ SV170 )
                                      | ( v3_struct_0 @ SY537 )
                                      | ~ ( v10_lattices @ SY537 )
                                      | ~ ( v15_lattices @ SY537 )
                                      | ~ ( v16_lattices @ SY537 )
                                      | ~ ( l3_lattices @ SY537 )
                                      | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                          | ~ ! [SY538: $i] :
                                ( ( v3_struct_0 @ SY538 )
                                | ~ ( v10_lattices @ SY538 )
                                | ~ ( l3_lattices @ SY538 )
                                | ( v3_struct_0 @ SV170 )
                                | ~ ( v10_lattices @ SV170 )
                                | ~ ( v15_lattices @ SV170 )
                                | ~ ( v16_lattices @ SV170 )
                                | ~ ( l3_lattices @ SV170 )
                                | ( v3_struct_0 @ SY538 )
                                | ~ ( v10_lattices @ SY538 )
                                | ~ ( v15_lattices @ SY538 )
                                | ~ ( v16_lattices @ SY538 )
                                | ~ ( l3_lattices @ SY538 )
                                | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
                    | ~ ! [SY539: $i] :
                          ( ( v3_struct_0 @ SY539 )
                          | ~ ( v10_lattices @ SY539 )
                          | ~ ( l3_lattices @ SY539 )
                          | ( v3_struct_0 @ SV170 )
                          | ~ ( v10_lattices @ SV170 )
                          | ~ ( v15_lattices @ SV170 )
                          | ~ ( v16_lattices @ SV170 )
                          | ~ ( l3_lattices @ SV170 )
                          | ( v3_struct_0 @ SY539 )
                          | ~ ( v10_lattices @ SY539 )
                          | ~ ( v15_lattices @ SY539 )
                          | ~ ( v16_lattices @ SY539 )
                          | ~ ( l3_lattices @ SY539 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                          ( ( v3_struct_0 @ SY540 )
                                                                          | ~ ( v10_lattices @ SY540 )
                                                                          | ~ ( l3_lattices @ SY540 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v3_struct_0 @ SV170 ) )
                                                                    | ~ ! [SY541: $i] :
                                                                          ( ( v3_struct_0 @ SY541 )
                                                                          | ~ ( v10_lattices @ SY541 )
                                                                          | ~ ( l3_lattices @ SY541 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ( v10_lattices @ SV170 ) ) )
                                                              | ~ ! [SY542: $i] :
                                                                    ( ( v3_struct_0 @ SY542 )
                                                                    | ~ ( v10_lattices @ SY542 )
                                                                    | ~ ( l3_lattices @ SY542 )
                                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ( v15_lattices @ SV170 ) ) )
                                                        | ~ ! [SY543: $i] :
                                                              ( ( v3_struct_0 @ SY543 )
                                                              | ~ ( v10_lattices @ SY543 )
                                                              | ~ ( l3_lattices @ SY543 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ( v16_lattices @ SV170 ) ) )
                                                  | ~ ! [SY544: $i] :
                                                        ( ( v3_struct_0 @ SY544 )
                                                        | ~ ( v10_lattices @ SY544 )
                                                        | ~ ( l3_lattices @ SY544 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ( l3_lattices @ SV170 ) ) )
                                            | ~ ! [SY545: $i] :
                                                  ( ( v3_struct_0 @ SY545 )
                                                  | ~ ( v10_lattices @ SY545 )
                                                  | ~ ( l3_lattices @ SY545 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v3_struct_0 @ SY545 ) ) )
                                      | ~ ! [SY546: $i] :
                                            ( ( v3_struct_0 @ SY546 )
                                            | ~ ( v10_lattices @ SY546 )
                                            | ~ ( l3_lattices @ SY546 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ( v10_lattices @ SY546 ) ) )
                                | ~ ! [SY547: $i] :
                                      ( ( v3_struct_0 @ SY547 )
                                      | ~ ( v10_lattices @ SY547 )
                                      | ~ ( l3_lattices @ SY547 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ( v15_lattices @ SY547 ) ) )
                          | ~ ! [SY548: $i] :
                                ( ( v3_struct_0 @ SY548 )
                                | ~ ( v10_lattices @ SY548 )
                                | ~ ( l3_lattices @ SY548 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ( v16_lattices @ SY548 ) ) )
                    | ~ ! [SY549: $i] :
                          ( ( v3_struct_0 @ SY549 )
                          | ~ ( v10_lattices @ SY549 )
                          | ~ ( l3_lattices @ SY549 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ( l3_lattices @ SY549 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7695]) ).

thf(8037,plain,
    ( ( ~ ( l2_lattices @ sK29_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7696]) ).

thf(8038,plain,
    ( ( ~ ( v2_lattices @ sK29_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7696]) ).

thf(8039,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ~ ( v16_lattices @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ( v17_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7697]) ).

thf(8040,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ( v15_lattices @ SX0 ) )
                  | ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ( v16_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v11_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7697]) ).

thf(8041,plain,
    ( ( ~ ~ ( v1_xboole_0 @ sK46_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7698]) ).

thf(8042,plain,
    ( ( ~ ( v1_setfam_1 @ sK46_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7698]) ).

thf(8043,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l1_struct_0 @ SX0 )
            | ! [SX1: $i] :
                ( ( u1_struct_0 @ SX0 )
               != ( k1_tarski @ SX1 ) )
            | ( v3_realset2 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7699]) ).

thf(8044,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l1_struct_0 @ SX0 )
            | ~ ( v3_realset2 @ SX0 )
            | ( ( u1_struct_0 @ SX0 )
              = ( k1_tarski @ ( sK2_B @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7699]) ).

thf(8045,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( m1_filter_0 @ SX1 @ SX0 )
                  | ~ ( v3_struct_0 @ ( k8_filter_0 @ SX0 @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( m1_filter_0 @ SX1 @ SX0 )
                  | ( v10_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7700]) ).

thf(8046,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ( l3_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7700]) ).

thf(8047,plain,
    ( ( ~ ~ ( ~ ( l1_rlvect_1 @ sK63_A )
            | ~ ~ ( v3_struct_0 @ sK63_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7701]) ).

thf(8048,plain,
    ( ( ~ ( v1_rlvect_1 @ sK63_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7701]) ).

thf(8049,plain,
    ! [SV171: $i] :
      ( ( ( ( v3_struct_0 @ SV171 )
          | ~ ( v10_lattices @ SV171 )
          | ~ ( l3_lattices @ SV171 ) )
        = $true )
      | ( ( ~ ( ~ ( m2_lattice4 @ ( sK53_B @ SV171 ) @ SV171 )
              | ~ ~ ( v1_xboole_0 @ ( sK53_B @ SV171 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7702]) ).

thf(8050,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                              ( ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( v11_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
                        | ~ ! [SX0: $i] :
                              ( ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( v11_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
                  | ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( v11_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v11_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v11_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7703]) ).

thf(8051,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                              ( ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( v3_struct_0 @ SX0 ) )
                        | ~ ! [SX0: $i] :
                              ( ( v3_struct_0 @ SX0 )
                              | ~ ( v10_lattices @ SX0 )
                              | ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                              | ( v10_lattices @ SX0 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ( v11_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ( l3_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7703]) ).

thf(8052,plain,
    ( ( ~ ( l1_struct_0 @ sK57_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7704]) ).

thf(8053,plain,
    ( ( ~ ( v3_realset2 @ sK57_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[7704]) ).

thf(8054,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV1 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV1 ) )
        = $true )
      | ( ( ! [SY395: $i] :
              ( ~ ( m1_pre_topc @ SY395 @ SV1 )
              | ( v2_pre_topc @ SY395 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7705]) ).

thf(8055,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV2 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV2 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV2 ) @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7706]) ).

thf(8056,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV3 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV3 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV3 ) @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7707]) ).

thf(8057,plain,
    ! [SV4: $i] :
      ( ( ( l1_pre_topc @ SV4 )
        = $false )
      | ( ( ! [SY396: $i] :
              ( ~ ( m1_pre_topc @ SY396 @ SV4 )
              | ( l1_pre_topc @ SY396 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7708]) ).

thf(8058,plain,
    ! [SV5: $i] :
      ( ( ( l1_pre_topc @ SV5 )
        = $false )
      | ( ( m1_pre_topc @ ( sK66_B @ SV5 ) @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7709]) ).

thf(8059,plain,
    ! [SV6: $i] :
      ( ( ( l1_pre_topc @ SV6 )
        = $false )
      | ( ( l1_struct_0 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7710]) ).

thf(8060,plain,
    ! [SV7: $i] :
      ( ( ( l1_pre_topc @ SV7 )
        = $false )
      | ( ( v1_tops_1 @ ( k2_pre_topc @ SV7 ) @ SV7 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7711]) ).

thf(8061,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV8 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV8 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k1_pre_topc @ SV8 ) @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7712]) ).

thf(8062,plain,
    ! [SV9: $i] :
      ( ( ( l1_pre_topc @ SV9 )
        = $false )
      | ( ( ( k6_pre_topc @ SV9 @ ( k2_pre_topc @ SV9 ) )
          = ( k2_pre_topc @ SV9 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7713]) ).

thf(8063,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV10 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV10 ) )
        = $true )
      | ( ( ( k1_tops_1 @ SV10 @ ( k2_pre_topc @ SV10 ) )
          = ( k2_pre_topc @ SV10 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7714]) ).

thf(8064,plain,
    ! [SV11: $i] :
      ( ( ( l1_pre_topc @ SV11 )
        = $false )
      | ( ( ( k1_tops_1 @ SV11 @ ( k1_pre_topc @ SV11 ) )
          = ( k1_pre_topc @ SV11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7715]) ).

thf(8065,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV12 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV12 ) )
        = $true )
      | ( ( v3_pre_topc @ ( k1_pre_topc @ SV12 ) @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7716]) ).

thf(8066,plain,
    ! [SV13: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV13 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV13 ) )
        = $true )
      | ( ( v3_pre_topc @ ( k2_pre_topc @ SV13 ) @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7717]) ).

thf(8067,plain,
    ! [SV14: $i] :
      ( ( ( ( v3_struct_0 @ SV14 )
          | ~ ( v10_lattices @ SV14 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV14 ) )
        = $true )
      | ( ( m1_filter_0 @ ( u1_struct_0 @ SV14 ) @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7718]) ).

thf(8068,plain,
    ! [SV15: $i] :
      ( ( ( ( v3_struct_0 @ SV15 )
          | ~ ( v10_lattices @ SV15 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV15 ) )
        = $true )
      | ( ( ( k1_filter_0 @ SV15 )
          = ( u1_struct_0 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7719]) ).

thf(8069,plain,
    ! [SV16: $i] :
      ( ( ( ( v3_struct_0 @ SV16 )
          | ~ ( v10_lattices @ SV16 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV16 ) )
        = $true )
      | ( ( ! [SY397: $i] :
              ( ~ ( m1_filter_0 @ SY397 @ SV16 )
              | ( ( k3_filter_0 @ SV16 @ SY397 )
                = SY397 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7720]) ).

thf(8070,plain,
    ! [SV17: $i] :
      ( ( ( ( v3_struct_0 @ SV17 )
          | ~ ( v10_lattices @ SV17 )
          | ~ ( v3_filter_0 @ SV17 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV17 ) )
        = $true )
      | ( ( v14_lattices @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7721]) ).

thf(8071,plain,
    ! [SV18: $i] :
      ( ( ( ( v3_struct_0 @ SV18 )
          | ~ ( v10_lattices @ SV18 )
          | ~ ( v3_filter_0 @ SV18 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV18 ) )
        = $true )
      | ( ( v11_lattices @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7722]) ).

thf(8072,plain,
    ! [SV19: $i] :
      ( ( ( ( v3_struct_0 @ SV19 )
          | ~ ( v10_lattices @ SV19 )
          | ~ ( v17_lattices @ SV19 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV19 ) )
        = $true )
      | ( ( v3_filter_0 @ SV19 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7723]) ).

thf(8073,plain,
    ! [SV20: $i] :
      ( ( ( ( v3_struct_0 @ SV20 )
          | ~ ( v10_lattices @ SV20 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV20 ) )
        = $true )
      | ( ( m1_filter_0 @ ( sK55_B @ SV20 ) @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7724]) ).

thf(8074,plain,
    ! [SV21: $i] :
      ( ( ( ( v3_struct_0 @ SV21 )
          | ~ ( v10_lattices @ SV21 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV21 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_0 @ SV21 ) @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7725]) ).

thf(8075,plain,
    ! [SV210: $i,SV172: $i,SV22: $i] :
      ( ( ( v3_struct_0 @ SV22 )
        | ~ ( v10_lattices @ SV22 )
        | ~ ( v17_lattices @ SV22 )
        | ~ ( l3_lattices @ SV22 )
        | ~ ( m1_filter_0 @ SV172 @ SV22 )
        | ~ ( m1_filter_0 @ SV210 @ SV22 )
        | ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7726]) ).

thf(8076,plain,
    ! [SV23: $i] :
      ( ( ( ( v3_struct_0 @ SV23 )
          | ~ ( v3_lattices @ SV23 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV23 ) )
        = $true )
      | ( ( ( k1_lattice2 @ ( k1_lattice2 @ SV23 ) )
          = SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7727]) ).

thf(8077,plain,
    ! [SV24: $i] :
      ( ( ( ( v3_struct_0 @ SV24 )
          | ~ ( v10_lattices @ SV24 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV24 ) )
        = $true )
      | ( ( ! [SY400: $i] :
              ( ( v3_struct_0 @ SY400 )
              | ~ ( v10_lattices @ SY400 )
              | ~ ( l3_lattices @ SY400 )
              | ! [SY401: $i] :
                  ( ( v3_struct_0 @ SY401 )
                  | ~ ( v10_lattices @ SY401 )
                  | ~ ( l3_lattices @ SY401 )
                  | ~ ( r1_filter_1 @ SV24 @ SY400 )
                  | ~ ( r1_filter_1 @ SY400 @ SY401 )
                  | ( r1_filter_1 @ SV24 @ SY401 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7728]) ).

thf(8078,plain,
    ! [SV25: $i] :
      ( ( ( ( v3_struct_0 @ SV25 )
          | ~ ( v10_lattices @ SV25 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV25 ) )
        = $true )
      | ( ( ! [SY402: $i] :
              ( ( v3_struct_0 @ SY402 )
              | ~ ( v10_lattices @ SY402 )
              | ~ ( l3_lattices @ SY402 )
              | ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SY402 ) )
                = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SY402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7729]) ).

thf(8079,plain,
    ! [SV26: $i] :
      ( ( ( ( v3_struct_0 @ SV26 )
          | ~ ( v10_lattices @ SV26 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV26 ) )
        = $true )
      | ( ( ! [SY403: $i] :
              ( ( v3_struct_0 @ SY403 )
              | ~ ( v10_lattices @ SY403 )
              | ~ ( l3_lattices @ SY403 )
              | ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SY403 ) @ ( k8_filter_1 @ SY403 @ SV26 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7730]) ).

thf(8080,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( ( v3_struct_0 @ SV27 )
          | ~ ( v10_lattices @ SV27 )
          | ~ ( l3_lattices @ SV27 )
          | ( v3_struct_0 @ SV173 )
          | ~ ( v10_lattices @ SV173 )
          | ~ ( l3_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV27 @ SV173 )
          | ( r1_filter_1 @ SV173 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7731]) ).

thf(8081,plain,
    ! [SV211: $i,SV28: $i] :
      ( ( ( ( v3_struct_0 @ SV28 )
          | ~ ( v10_lattices @ SV28 )
          | ~ ( l3_lattices @ SV28 )
          | ( v3_struct_0 @ SV211 )
          | ~ ( v10_lattices @ SV211 )
          | ~ ( l3_lattices @ SV211 ) )
        = $true )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[7732]) ).

thf(8082,plain,
    ! [SV212: $i,SV174: $i,SV29: $i] :
      ( ( ( v3_struct_0 @ SV29 )
        | ~ ( v10_lattices @ SV29 )
        | ~ ( l3_lattices @ SV29 )
        | ~ ( m1_filter_0 @ SV174 @ SV29 )
        | ~ ( m1_filter_0 @ SV212 @ SV29 )
        | ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SV212 ) @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7733]) ).

thf(8083,plain,
    ! [SV213: $i,SV175: $i,SV30: $i] :
      ( ( ( v3_struct_0 @ SV30 )
        | ~ ( v10_lattices @ SV30 )
        | ~ ( l3_lattices @ SV30 )
        | ~ ( m1_filter_0 @ SV175 @ SV30 )
        | ~ ( m1_filter_0 @ SV213 @ SV30 )
        | ( ( k1_filter_1 @ SV30 @ SV175 @ SV213 )
          = ( k1_filter_1 @ SV30 @ SV213 @ SV175 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7734]) ).

thf(8084,plain,
    ! [SV176: $i,SV31: $i] :
      ( ( ( ( v3_struct_0 @ SV31 )
          | ~ ( v10_lattices @ SV31 )
          | ~ ( l3_lattices @ SV31 )
          | ~ ( m1_filter_0 @ SV176 @ SV31 )
          | ! [SY411: $i] :
              ~ ( m1_filter_0 @ SY411 @ SV31 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7735]) ).

thf(8085,plain,
    ! [SV32: $i] :
      ( ( ( ( v3_struct_0 @ SV32 )
          | ~ ( v10_lattices @ SV32 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV32 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k9_filter_1 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7736]) ).

thf(8086,plain,
    ! [SV33: $i] :
      ( ( ( ( v3_struct_0 @ SV33 )
          | ~ ( v10_lattices @ SV33 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV33 ) )
        = $true )
      | ( ( ( k9_filter_1 @ SV33 )
          = ( a_1_0_filter_1 @ SV33 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7737]) ).

thf(8087,plain,
    ! [SV34: $i] :
      ( ( ( ( v3_struct_0 @ SV34 )
          | ~ ( v2_pre_topc @ SV34 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV34 ) )
        = $true )
      | ( ( m1_borsuk_1 @ ( k15_borsuk_1 @ SV34 ) @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7738]) ).

thf(8088,plain,
    ! [SV35: $i] :
      ( ( ( ( v3_struct_0 @ SV35 )
          | ~ ( v2_pre_topc @ SV35 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV35 ) )
        = $true )
      | ( ( m1_borsuk_1 @ ( sK54_B @ SV35 ) @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7739]) ).

thf(8089,plain,
    ! [SV36: $i] :
      ( ( ( ( v3_struct_0 @ SV36 )
          | ~ ( v10_lattices @ SV36 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV36 ) )
        = $true )
      | ( ( v2_filter_0 @ ( k1_filter_0 @ SV36 ) @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7740]) ).

thf(8090,plain,
    ! [SV37: $i] :
      ( ( ( ( v3_struct_0 @ SV37 )
          | ~ ( v10_lattices @ SV37 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV37 ) )
        = $true )
      | ( ( m2_lattice4 @ ( u1_struct_0 @ SV37 ) @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7741]) ).

thf(8091,plain,
    ! [SV38: $i] :
      ( ( ( ( v3_struct_0 @ SV38 )
          | ~ ( v10_lattices @ SV38 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV38 ) )
        = $true )
      | ( ( ! [SY412: $i] :
              ( ~ ( m1_filter_0 @ SY412 @ SV38 )
              | ( m2_lattice4 @ SY412 @ SV38 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7742]) ).

thf(8092,plain,
    ! [SV39: $i] :
      ( ( ( ( v3_struct_0 @ SV39 )
          | ~ ( v10_lattices @ SV39 )
          | ~ ( v17_lattices @ SV39 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV39 ) )
        = $true )
      | ( ( m3_lattice4 @ ( u1_struct_0 @ SV39 ) @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7743]) ).

thf(8093,plain,
    ! [SV40: $i] :
      ( ( ( ( v3_struct_0 @ SV40 )
          | ~ ( v10_lattices @ SV40 )
          | ~ ( v17_lattices @ SV40 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV40 ) )
        = $true )
      | ( ( ! [SY413: $i] :
              ( ~ ( m3_lattice4 @ SY413 @ SV40 )
              | ( m2_lattice4 @ SY413 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7744]) ).

thf(8094,plain,
    ! [SV177: $i,SV41: $i] :
      ( ( ( ( v3_struct_0 @ SV41 )
          | ~ ( v10_lattices @ SV41 )
          | ~ ( l3_lattices @ SV41 )
          | ( v3_struct_0 @ SV177 )
          | ~ ( v10_lattices @ SV177 )
          | ~ ( l3_lattices @ SV177 ) )
        = $true )
      | ( ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7745]) ).

thf(8095,plain,
    ! [SV42: $i] :
      ( ( ( ( v3_struct_0 @ SV42 )
          | ~ ( v10_lattices @ SV42 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV42 ) )
        = $true )
      | ( ( m2_lattice4 @ ( sK50_B @ SV42 ) @ SV42 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7746]) ).

thf(8096,plain,
    ! [SV43: $i] :
      ( ( ( ( v3_struct_0 @ SV43 )
          | ~ ( v10_lattices @ SV43 )
          | ~ ( v17_lattices @ SV43 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV43 ) )
        = $true )
      | ( ( m3_lattice4 @ ( sK49_B @ SV43 ) @ SV43 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7747]) ).

thf(8097,plain,
    ! [SV44: $i] :
      ( ( ( ( v3_struct_0 @ SV44 )
          | ~ ( v10_lattices @ SV44 )
          | ~ ( v17_lattices @ SV44 )
          | ( v3_realset2 @ SV44 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV44 ) )
        = $true )
      | ( ( ( k9_lopclset @ SV44 )
          = ( k8_lopclset @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7748]) ).

thf(8098,plain,
    ! [SV45: $i] :
      ( ( ( ( v3_struct_0 @ SV45 )
          | ~ ( v10_lattices @ SV45 )
          | ~ ( v17_lattices @ SV45 )
          | ( v3_realset2 @ SV45 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV45 ) )
        = $true )
      | ( ( ( k13_lopclset @ SV45 )
          = ( k8_lopclset @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7749]) ).

thf(8099,plain,
    ! [SV46: $i] :
      ( ( ( v3_struct_0 @ SV46 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV46 ) )
        = $true )
      | ( ( ( k1_lopclset @ SV46 )
          = ( a_1_0_lopclset @ SV46 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7750]) ).

thf(8100,plain,
    ! [SV47: $i] :
      ( ( ( ( v3_struct_0 @ SV47 )
          | ~ ( v2_pre_topc @ SV47 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV47 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k1_lopclset @ SV47 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7751]) ).

thf(8101,plain,
    ! [SV48: $i] :
      ( ( ( ( v3_struct_0 @ SV48 )
          | ~ ( v2_pre_topc @ SV48 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV48 ) )
        = $true )
      | ( ( ( u1_struct_0 @ ( k6_lopclset @ SV48 ) )
          = ( k1_lopclset @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7752]) ).

thf(8102,plain,
    ! [SV49: $i] :
      ( ( ( ( v3_struct_0 @ SV49 )
          | ~ ( v2_pre_topc @ SV49 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV49 ) )
        = $true )
      | ( ( v17_lattices @ ( k6_lopclset @ SV49 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7753]) ).

thf(8103,plain,
    ! [SV50: $i] :
      ( ( ( ( v3_struct_0 @ SV50 )
          | ~ ( v10_lattices @ SV50 )
          | ~ ( v17_lattices @ SV50 )
          | ( v3_realset2 @ SV50 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV50 ) )
        = $true )
      | ( ( ( k7_lopclset @ SV50 )
          = ( a_1_1_lopclset @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7754]) ).

thf(8104,plain,
    ! [SV51: $i] :
      ( ( ( ( v3_struct_0 @ SV51 )
          | ~ ( v10_lattices @ SV51 )
          | ~ ( v17_lattices @ SV51 )
          | ( v3_realset2 @ SV51 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV51 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV51 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7755]) ).

thf(8105,plain,
    ! [SV52: $i] :
      ( ( ( ( v3_struct_0 @ SV52 )
          | ~ ( v10_lattices @ SV52 )
          | ~ ( v17_lattices @ SV52 )
          | ( v3_realset2 @ SV52 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV52 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k10_lopclset @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7756]) ).

thf(8106,plain,
    ! [SV53: $i] :
      ( ( ( ( v3_struct_0 @ SV53 )
          | ~ ( v10_lattices @ SV53 )
          | ~ ( v17_lattices @ SV53 )
          | ( v3_realset2 @ SV53 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV53 ) )
        = $true )
      | ( ( ( k12_lopclset @ SV53 )
          = ( k6_lopclset @ ( k11_lopclset @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7757]) ).

thf(8107,plain,
    ! [SV54: $i] :
      ( ( ( ( v3_struct_0 @ SV54 )
          | ~ ( v10_lattices @ SV54 )
          | ~ ( v17_lattices @ SV54 )
          | ( v3_realset2 @ SV54 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV54 ) )
        = $true )
      | ( ( v2_funct_1 @ ( k9_lopclset @ SV54 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7758]) ).

thf(8108,plain,
    ! [SV55: $i] :
      ( ( ( ( v3_struct_0 @ SV55 )
          | ~ ( v10_lattices @ SV55 )
          | ~ ( v17_lattices @ SV55 )
          | ( v3_realset2 @ SV55 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV55 ) )
        = $true )
      | ( ( r1_filter_1 @ SV55 @ ( k12_lopclset @ SV55 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7759]) ).

thf(8109,plain,
    ! [SV214: $i,SV56: $i] :
      ( ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV56 @ SV214 ) ) )
        = $true )
      | ( ( v1_xboole_0 @ SV56 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[7760]) ).

thf(8110,plain,
    ! [SV57: $i,SV215: $i] :
      ( ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV215 @ SV57 ) ) )
        = $true )
      | ( ( v1_xboole_0 @ SV57 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[7761]) ).

thf(8111,plain,
    ! [SV58: $i] :
      ( ( ( v1_xboole_0 @ SV58 )
        = $false )
      | ( ( SV58 = k1_xboole_0 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7762]) ).

thf(8112,plain,
    ! [SV178: $i,SV59: $i] :
      ( ( ( ~ ( r2_hidden @ SV59 @ SV178 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV178 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7763]) ).

thf(8113,plain,
    ! [SV179: $i,SV60: $i] :
      ( ( ( ( SV60 = SV179 )
          | ~ ( v1_xboole_0 @ SV60 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV179 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7764]) ).

thf(8114,plain,
    ! [SV180: $i,SV61: $i] :
      ( ( v1_xboole_0 @ ( k4_tarski @ SV61 @ SV180 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[7765]) ).

thf(8115,plain,
    ! [SV181: $i,SV64: $i] :
      ( ( v1_xboole_0 @ ( k2_tarski @ SV64 @ SV181 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[7768]) ).

thf(8116,plain,
    ! [SV182: $i,SV65: $i] :
      ( ( ( ( v1_xboole_0 @ SV65 )
          | ( v1_xboole_0 @ SV182 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV65 @ SV182 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7769]) ).

thf(8117,plain,
    ! [SV216: $i,SV183: $i,SV66: $i] :
      ( ( ( v1_xboole_0 @ SV66 )
        | ( v1_xboole_0 @ SV183 )
        | ( v1_xboole_0 @ SV216 )
        | ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV66 @ SV183 @ SV216 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7770]) ).

thf(8118,plain,
    ! [SV217: $i,SV184: $i,SV67: $i] :
      ( ( ! [SY560: $i] :
            ( ( v1_xboole_0 @ SV67 )
            | ( v1_xboole_0 @ SV184 )
            | ( v1_xboole_0 @ SV217 )
            | ( v1_xboole_0 @ SY560 )
            | ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV67 @ SV184 @ SV217 @ SY560 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7771]) ).

thf(8119,plain,
    ! [SV185: $i,SV68: $i] :
      ( ( ( ( v1_xboole_0 @ SV68 )
          | ( v1_xboole_0 @ SV185 ) )
        = $true )
      | ( ( ~ ( r1_subset_1 @ SV68 @ SV185 )
          | ( r1_subset_1 @ SV185 @ SV68 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7772]) ).

thf(8120,plain,
    ! [SV69: $i] :
      ( ( ( v1_xboole_0 @ SV69 )
        = $true )
      | ( ( ! [B: $i] : ( v1_xboole_0 @ B ) )
        = $true )
      | ( ( ~ ( r1_subset_1 @ SV69 @ SV69 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7773]) ).

thf(8121,plain,
    ! [SV186: $i,SV70: $i] :
      ( ( ( ( v1_xboole_0 @ SV70 )
          | ( v1_xboole_0 @ SV186 ) )
        = $true )
      | ( ( ~ ( r2_subset_1 @ SV70 @ SV186 )
          | ( r2_subset_1 @ SV186 @ SV70 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7774]) ).

thf(8122,plain,
    ! [SV71: $i] :
      ( ( ( v1_xboole_0 @ SV71 )
        = $true )
      | ( ( ! [B: $i] : ( v1_xboole_0 @ B ) )
        = $true )
      | ( ( ~ ( r2_subset_1 @ SV71 @ SV71 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7775]) ).

thf(8123,plain,
    ! [SV72: $i] :
      ( ( ( v1_xboole_0 @ SV72 )
        = $false )
      | ( ( v2_setfam_1 @ SV72 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7776]) ).

thf(8124,plain,
    ! [SV187: $i,SV73: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV73 )
          | ~ ( v1_relat_1 @ SV187 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k3_xboole_0 @ SV73 @ SV187 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7777]) ).

thf(8125,plain,
    ! [SV188: $i,SV74: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV74 )
          | ~ ( v1_relat_1 @ SV188 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k2_xboole_0 @ SV74 @ SV188 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7778]) ).

thf(8126,plain,
    ! [SV189: $i,SV75: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV75 )
          | ~ ( v1_relat_1 @ SV189 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k4_xboole_0 @ SV75 @ SV189 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7779]) ).

thf(8127,plain,
    ! [SV76: $i] :
      ( ( ( v1_xboole_0 @ SV76 )
        = $false )
      | ( ( v1_relat_1 @ SV76 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7780]) ).

thf(8128,plain,
    ! [SV77: $i] :
      ( ( ( v1_xboole_0 @ SV77 )
        = $true )
      | ( ( ~ ( v1_relat_1 @ SV77 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k1_relat_1 @ SV77 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7781]) ).

thf(8129,plain,
    ! [SV78: $i] :
      ( ( ( v1_xboole_0 @ SV78 )
        = $true )
      | ( ( ~ ( v1_relat_1 @ SV78 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k2_relat_1 @ SV78 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7782]) ).

thf(8130,plain,
    ! [SV79: $i,SV190: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV190 ) )
        = $true )
      | ( ( ~ ( r1_tarski @ SV79 @ SV190 )
          | ( v1_relat_1 @ SV79 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7783]) ).

thf(8131,plain,
    ! [SV81: $i,SV192: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV192 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k3_xboole_0 @ SV81 @ SV192 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7785]) ).

thf(8132,plain,
    ! [SV82: $i,SV193: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV193 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k4_xboole_0 @ SV193 @ SV82 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7786]) ).

thf(8133,plain,
    ! [SV83: $i] :
      ( ( ( v1_relat_1 @ SV83 )
        = $false )
      | ( ( ! [SY438: $i] :
              ( ~ ( v1_relat_1 @ SY438 )
              | ! [SY439: $i] :
                  ( ~ ( v1_relat_1 @ SY439 )
                  | ( ( k5_relat_1 @ ( k5_relat_1 @ SV83 @ SY438 ) @ SY439 )
                    = ( k5_relat_1 @ SV83 @ ( k5_relat_1 @ SY438 @ SY439 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7787]) ).

thf(8134,plain,
    ! [SV84: $i,SV194: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV194 ) )
        = $true )
      | ( ( ( k7_relat_1 @ ( k7_relat_1 @ SV194 @ SV84 ) @ SV84 )
          = ( k7_relat_1 @ SV194 @ SV84 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7788]) ).

thf(8135,plain,
    ! [SV85: $i,SV195: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV195 ) )
        = $true )
      | ( ( ( k8_relat_1 @ SV85 @ ( k8_relat_1 @ SV85 @ SV195 ) )
          = ( k8_relat_1 @ SV85 @ SV195 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7789]) ).

thf(8136,plain,
    ! [SV86: $i] :
      ( ( ( v1_relat_1 @ SV86 )
        = $false )
      | ( ( v1_relat_1 @ ( k4_relat_1 @ SV86 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7790]) ).

thf(8137,plain,
    ! [SV87: $i] :
      ( ( ( v1_relat_1 @ SV87 )
        = $false )
      | ( ( ( k4_relat_1 @ ( k4_relat_1 @ SV87 ) )
          = SV87 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7791]) ).

thf(8138,plain,
    ! [SV196: $i,SV88: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV88 )
          | ~ ( v1_relat_1 @ SV196 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV88 @ SV196 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7792]) ).

thf(8139,plain,
    ! [SV90: $i] :
      ( ( ( v1_relat_1 @ SV90 )
        = $false )
      | ( ( ! [SY443: $i] : ( v1_relat_1 @ ( k7_relat_1 @ SV90 @ SY443 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7793]) ).

thf(8140,plain,
    ! [SV91: $i,SV197: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV197 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k8_relat_1 @ SV91 @ SV197 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7794]) ).

thf(8141,plain,
    ! [SV92: $i] :
      ( ( ( v1_xboole_0 @ SV92 )
        = $false )
      | ( ( v1_funct_1 @ SV92 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7795]) ).

thf(8142,plain,
    ! [SV198: $i,SV95: $i] :
      ( ( v1_xboole_0 @ ( k4_partfun1 @ SV95 @ SV198 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[7797]) ).

thf(8143,plain,
    ! [SV96: $i,SV199: $i] :
      ( ( ( v1_xboole_0 @ SV199 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k1_funct_2 @ SV96 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7798]) ).

thf(8144,plain,
    ! [SV98: $i] :
      ( ( ( v1_xboole_0 @ SV98 )
        = $false )
      | ( ( v1_finset_1 @ SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7800]) ).

thf(8145,plain,
    ! [SV100: $i] :
      ( ( ( v1_relat_1 @ SV100 )
        = $false )
      | ( ( v1_relat_1 @ ( k17_finseq_1 @ SV100 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7802]) ).

thf(8146,plain,
    ! [SV101: $i,SV218: $i] :
      ( ( ( ~ ( m1_eqrel_1 @ SV218 @ SV101 )
          | ~ ( v1_xboole_0 @ SV218 ) )
        = $true )
      | ( ( v1_xboole_0 @ SV101 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[7803]) ).

thf(8147,plain,
    ! [SV102: $i] :
      ( ( ( v1_relat_1 @ SV102 )
        = $false )
      | ( ( ! [SY448: $i] : ( v1_relat_1 @ ( k1_realset1 @ SV102 @ SY448 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7804]) ).

thf(8148,plain,
    ! [SV103: $i] :
      ( ( ( v1_xboole_0 @ SV103 )
        = $false )
      | ( ( v1_realset1 @ SV103 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7805]) ).

thf(8149,plain,
    ! [SV200: $i,SV104: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV104 )
          | ~ ( v1_relat_1 @ SV200 ) )
        = $true )
      | ( ( ~ ( r1_rfinseq @ SV104 @ SV200 )
          | ( r1_rfinseq @ SV200 @ SV104 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7806]) ).

thf(8150,plain,
    ! [SV105: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV105 ) )
        = $true )
      | ( ( ! [B: $i] :
              ~ ( v1_relat_1 @ B ) )
        = $true )
      | ( ( r1_rfinseq @ SV105 @ SV105 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7807]) ).

thf(8151,plain,
    ! [SV106: $i] :
      ( ( ( v3_struct_0 @ SV106 )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV106 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV106 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7808]) ).

thf(8152,plain,
    ! [SV107: $i] :
      ( ( ( l2_struct_0 @ SV107 )
        = $false )
      | ( ( l1_struct_0 @ SV107 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7809]) ).

thf(8153,plain,
    ! [SV108: $i] :
      ( ( ( l1_lattices @ SV108 )
        = $false )
      | ( ( l1_struct_0 @ SV108 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7810]) ).

thf(8154,plain,
    ! [SV109: $i] :
      ( ( ( l2_lattices @ SV109 )
        = $false )
      | ( ( l1_struct_0 @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7811]) ).

thf(8155,plain,
    ! [SV110: $i] :
      ( ( ( v3_struct_0 @ SV110 )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV110 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k2_pre_topc @ SV110 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7812]) ).

thf(8156,plain,
    ! [SV111: $i] :
      ( ( ( l1_struct_0 @ SV111 )
        = $false )
      | ( ( ( k1_pre_topc @ SV111 )
          = k1_xboole_0 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7813]) ).

thf(8157,plain,
    ! [SV112: $i] :
      ( ( ( l1_struct_0 @ SV112 )
        = $false )
      | ( ( ( k2_pre_topc @ SV112 )
          = ( u1_struct_0 @ SV112 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7814]) ).

thf(8158,plain,
    ! [SV113: $i] :
      ( ( ( l1_struct_0 @ SV113 )
        = $false )
      | ( ( ( k2_pre_topc @ SV113 )
          = ( u1_struct_0 @ SV113 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7815]) ).

thf(8159,plain,
    ! [SV114: $i] :
      ( ( ( l1_struct_0 @ SV114 )
        = $false )
      | ( ( ( k2_pre_topc @ SV114 )
          = ( k3_subset_1 @ ( u1_struct_0 @ SV114 ) @ ( k1_pre_topc @ SV114 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7816]) ).

thf(8160,plain,
    ! [SV115: $i] :
      ( ( ( l1_struct_0 @ SV115 )
        = $false )
      | ( ( ( k3_subset_1 @ ( u1_struct_0 @ SV115 ) @ ( k2_pre_topc @ SV115 ) )
          = ( k1_pre_topc @ SV115 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7817]) ).

thf(8161,plain,
    ! [SV116: $i] :
      ( ( ( l1_rlvect_1 @ SV116 )
        = $false )
      | ( ( l2_struct_0 @ SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7818]) ).

thf(8162,plain,
    ! [SV117: $i] :
      ( ( ( l2_rlvect_1 @ SV117 )
        = $false )
      | ( ( l1_rlvect_1 @ SV117 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7819]) ).

thf(8163,plain,
    ! [SV118: $i] :
      ( ( ( l1_group_1 @ SV118 )
        = $false )
      | ( ( l1_struct_0 @ SV118 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7820]) ).

thf(8164,plain,
    ! [SV119: $i] :
      ( ( ( l1_vectsp_1 @ SV119 )
        = $false )
      | ( ( l1_group_1 @ SV119 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7821]) ).

thf(8165,plain,
    ! [SV120: $i] :
      ( ( ( l1_struct_0 @ SV120 )
        = $false )
      | ( ( ! [SY451: $i] :
              ( ~ ( l4_vectsp_1 @ SY451 @ SV120 )
              | ( l1_rlvect_1 @ SY451 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7822]) ).

thf(8166,plain,
    ! [SV121: $i] :
      ( ( ( l1_struct_0 @ SV121 )
        = $false )
      | ( ( l4_vectsp_1 @ ( sK14_B @ SV121 ) @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7823]) ).

thf(8167,plain,
    ! [SV122: $i] :
      ( ( ( ( v3_struct_0 @ SV122 )
          | ~ ( v10_lattices @ SV122 )
          | ~ ( v17_lattices @ SV122 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV122 ) )
        = $true )
      | ( ( ! [SY452: $i] :
              ( ~ ( m1_filter_0 @ SY452 @ SV122 )
              | ! [SY453: $i] :
                  ( ~ ( m1_filter_0 @ SY453 @ SV122 )
                  | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SY452 @ SY453 ) )
                    = ( k7_filter_0 @ SV122 @ SY452 @ SY453 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7824]) ).

thf(8168,plain,
    ! [SV123: $i] :
      ( ( ( ( v3_struct_0 @ SV123 )
          | ~ ( v3_lattices @ SV123 )
          | ~ ( v10_lattices @ SV123 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV123 ) )
        = $true )
      | ( ( ( k8_filter_0 @ SV123 @ ( k1_filter_0 @ SV123 ) )
          = SV123 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7825]) ).

thf(8169,plain,
    ! [SV124: $i] :
      ( ( ( ( v3_struct_0 @ SV124 )
          | ~ ( v10_lattices @ SV124 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV124 ) )
        = $true )
      | ( ( ! [SY454: $i] :
              ( ~ ( m1_filter_0 @ SY454 @ SV124 )
              | ~ ( v14_lattices @ SV124 )
              | ( v14_lattices @ ( k8_filter_0 @ SV124 @ SY454 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7826]) ).

thf(8170,plain,
    ! [SV125: $i] :
      ( ( ( ( v3_struct_0 @ SV125 )
          | ~ ( v10_lattices @ SV125 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV125 ) )
        = $true )
      | ( ( ! [SY455: $i] :
              ( ~ ( m1_filter_0 @ SY455 @ SV125 )
              | ~ ( v12_lattices @ SV125 )
              | ( v12_lattices @ ( k8_filter_0 @ SV125 @ SY455 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7827]) ).

thf(8171,plain,
    ! [SV126: $i] :
      ( ( ( ( v3_struct_0 @ SV126 )
          | ~ ( v10_lattices @ SV126 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV126 ) )
        = $true )
      | ( ( ! [SY456: $i] :
              ( ~ ( m1_filter_0 @ SY456 @ SV126 )
              | ~ ( v11_lattices @ SV126 )
              | ( v11_lattices @ ( k8_filter_0 @ SV126 @ SY456 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7828]) ).

thf(8172,plain,
    ! [SV127: $i] :
      ( ( ( ( v3_struct_0 @ SV127 )
          | ~ ( v10_lattices @ SV127 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV127 ) )
        = $true )
      | ( ( ! [SY457: $i] :
              ( ~ ( m1_filter_0 @ SY457 @ SV127 )
              | ( v3_struct_0 @ SV127 )
              | ~ ( v10_lattices @ SV127 )
              | ~ ( v3_filter_0 @ SV127 )
              | ~ ( l3_lattices @ SV127 )
              | ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SY457 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7829]) ).

thf(8173,plain,
    ! [SV219: $i,SV201: $i,SV128: $i] :
      ( ( ( v3_struct_0 @ SV128 )
        | ~ ( v10_lattices @ SV128 )
        | ~ ( v11_lattices @ SV128 )
        | ~ ( l3_lattices @ SV128 )
        | ~ ( m1_filter_0 @ SV201 @ SV128 )
        | ~ ( m1_filter_0 @ SV219 @ SV128 )
        | ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7830]) ).

thf(8174,plain,
    ! [SV220: $i,SV202: $i,SV129: $i] :
      ( ( ( v3_struct_0 @ SV129 )
        | ~ ( v10_lattices @ SV129 )
        | ~ ( v17_lattices @ SV129 )
        | ~ ( l3_lattices @ SV129 )
        | ~ ( m1_filter_0 @ SV202 @ SV129 )
        | ~ ( m1_filter_0 @ SV220 @ SV129 )
        | ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7831]) ).

thf(8175,plain,
    ! [SV203: $i,SV130: $i] :
      ( ( ( ( v3_struct_0 @ SV130 )
          | ~ ( v10_lattices @ SV130 )
          | ~ ( l3_lattices @ SV130 )
          | ~ ( m1_filter_0 @ SV203 @ SV130 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k10_filter_0 @ SV130 @ SV203 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7832]) ).

thf(8176,plain,
    ! [SV131: $i] :
      ( ( ( ( v3_struct_0 @ SV131 )
          | ~ ( v10_lattices @ SV131 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV131 ) )
        = $true )
      | ( ( ! [SY463: $i] :
              ( ~ ( m1_filter_0 @ SY463 @ SV131 )
              | ! [SY464: $i] :
                  ( ~ ( m1_filter_0 @ SY464 @ SV131 )
                  | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SY463 @ SY464 ) @ SV131 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7833]) ).

thf(8177,plain,
    ! [SV132: $i] :
      ( ( ( ( v3_struct_0 @ SV132 )
          | ~ ( v10_lattices @ SV132 )
          | ~ ( v3_filter_0 @ SV132 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV132 ) )
        = $true )
      | ( ( ! [SY465: $i] :
              ( ~ ( m1_filter_0 @ SY465 @ SV132 )
              | ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SY465 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7834]) ).

thf(8178,plain,
    ! [SV204: $i,SV133: $i] :
      ( ( ( ( v1_xboole_0 @ SV133 )
          | ~ ( v1_relat_1 @ SV204 ) )
        = $true )
      | ( ( m1_filter_1 @ ( sK10_C @ SV204 @ SV133 ) @ SV133 @ SV204 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7835]) ).

thf(8179,plain,
    ! [SV205: $i,SV134: $i] :
      ( ( ( ( v1_xboole_0 @ SV134 )
          | ~ ( v1_relat_1 @ SV205 ) )
        = $true )
      | ( ( m2_filter_1 @ ( sK9_C @ SV205 @ SV134 ) @ SV134 @ SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7836]) ).

thf(8180,plain,
    ! [SV221: $i,SV206: $i,SV135: $i] :
      ( ( ( v3_struct_0 @ SV135 )
        | ~ ( v10_lattices @ SV135 )
        | ~ ( l3_lattices @ SV135 )
        | ~ ( m1_filter_0 @ SV206 @ SV135 )
        | ~ ( m1_filter_0 @ SV221 @ SV135 )
        | ( ( k1_filter_1 @ SV135 @ SV206 @ SV221 )
          = ( k3_xboole_0 @ SV206 @ SV221 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7837]) ).

thf(8181,plain,
    ! [SV136: $i] :
      ( ( ( l1_pre_topc @ SV136 )
        = $false )
      | ( ( ! [SY470: $i] :
              ( ~ ( m1_pre_topc @ SY470 @ SV136 )
              | ( r1_tarski @ ( u1_struct_0 @ SY470 ) @ ( u1_struct_0 @ SV136 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7838]) ).

thf(8182,plain,
    ! [SV137: $i] :
      ( ( ( l1_struct_0 @ SV137 )
        = $false )
      | ( ( m1_eqrel_1 @ ( k15_borsuk_1 @ SV137 ) @ ( u1_struct_0 @ SV137 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7839]) ).

thf(8183,plain,
    ! [SV207: $i,SV138: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV138 )
          | ( v3_struct_0 @ SV207 )
          | ~ ( l1_struct_0 @ SV207 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k17_grcat_1 @ SV138 @ SV207 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7840]) ).

thf(8184,plain,
    ! [SV208: $i,SV139: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV139 )
          | ~ ( l1_struct_0 @ SV208 ) )
        = $true )
      | ( ( m5_grcat_1 @ ( sK3_C @ SV208 @ SV139 ) @ SV139 @ SV208 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7841]) ).

thf(8185,plain,
    ! [SV140: $i] :
      ( ( ( ( v3_struct_0 @ SV140 )
          | ~ ( v10_lattices @ SV140 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV140 ) )
        = $true )
      | ( ( ! [SY473: $i] :
              ( ( v3_struct_0 @ SY473 )
              | ~ ( v10_lattices @ SY473 )
              | ~ ( v11_lattices @ SY473 )
              | ~ ( l3_lattices @ SY473 )
              | ! [SY474: $i] :
                  ( ~ ( m1_lattice4 @ SY474 @ SY473 @ SV140 )
                  | ~ ( v2_lattice4 @ SY474 @ SY473 @ SV140 )
                  | ( v11_lattices @ SV140 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7842]) ).

thf(8186,plain,
    ! [SV141: $i] :
      ( ( ( ( v3_struct_0 @ SV141 )
          | ~ ( v10_lattices @ SV141 )
          | ~ ( v17_lattices @ SV141 )
          | ( v3_realset2 @ SV141 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV141 ) )
        = $true )
      | ( ( m1_lattice4 @ ( k13_lopclset @ SV141 ) @ SV141 @ ( k12_lopclset @ SV141 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7843]) ).

thf(8187,plain,
    ! [SV142: $i] :
      ( ( ( ( v3_struct_0 @ SV142 )
          | ~ ( v2_pre_topc @ SV142 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV142 ) )
        = $true )
      | ( ( m1_subset_1 @ ( k2_pre_topc @ SV142 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7844]) ).

thf(8188,plain,
    ! [SV143: $i] :
      ( ( ( ( v3_struct_0 @ SV143 )
          | ~ ( v2_pre_topc @ SV143 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV143 ) )
        = $true )
      | ( ( m1_subset_1 @ ( k1_pre_topc @ SV143 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV143 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7845]) ).

thf(8189,plain,
    ! [SV144: $i] :
      ( ( ( ( v3_struct_0 @ SV144 )
          | ~ ( v10_lattices @ SV144 )
          | ~ ( v17_lattices @ SV144 )
          | ( v3_realset2 @ SV144 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV144 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV144 )
          = ( k2_relat_1 @ ( k9_lopclset @ SV144 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7846]) ).

thf(8190,plain,
    ! [SV145: $i] :
      ( ( ( ( v3_struct_0 @ SV145 )
          | ~ ( v10_lattices @ SV145 )
          | ~ ( v17_lattices @ SV145 )
          | ( v3_realset2 @ SV145 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV145 ) )
        = $true )
      | ( ( ( k3_tarski @ ( k10_lopclset @ SV145 ) )
          = ( k7_lopclset @ SV145 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7847]) ).

thf(8191,plain,
    ! [SV146: $i] :
      ( ( ( ( v3_struct_0 @ SV146 )
          | ~ ( v10_lattices @ SV146 )
          | ~ ( v17_lattices @ SV146 )
          | ( v3_realset2 @ SV146 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV146 ) )
        = $true )
      | ( ( r1_tarski @ ( k10_lopclset @ SV146 ) @ ( k1_lopclset @ ( k11_lopclset @ SV146 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7848]) ).

thf(8192,plain,
    ! [SV147: $i] :
      ( ( ( ( v3_struct_0 @ SV147 )
          | ~ ( v10_lattices @ SV147 )
          | ~ ( v17_lattices @ SV147 )
          | ( v3_realset2 @ SV147 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV147 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV147 )
          = ( k1_lopclset @ ( k11_lopclset @ SV147 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7849]) ).

thf(8193,plain,
    ! [SV148: $i] :
      ( ( ( ( v3_struct_0 @ SV148 )
          | ~ ( v10_lattices @ SV148 )
          | ~ ( v17_lattices @ SV148 )
          | ( v3_realset2 @ SV148 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV148 ) )
        = $true )
      | ( ( ( k2_relat_1 @ ( k13_lopclset @ SV148 ) )
          = ( u1_struct_0 @ ( k12_lopclset @ SV148 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7850]) ).

thf(8194,plain,
    ! [SV149: $i] :
      ( ( ( ( v3_struct_0 @ SV149 )
          | ~ ( v10_lattices @ SV149 )
          | ~ ( v17_lattices @ SV149 )
          | ( v3_realset2 @ SV149 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV149 ) )
        = $true )
      | ( ( v3_lattice4 @ ( k13_lopclset @ SV149 ) @ SV149 @ ( k12_lopclset @ SV149 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7851]) ).

thf(8195,plain,
    ! [SV150: $i] :
      ( ( ( ( v3_struct_0 @ SV150 )
          | ~ ( v2_pre_topc @ SV150 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV150 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7852]) ).

thf(8196,plain,
    ( ( ~ ( v1_xboole_0 @ sK44_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7853]) ).

thf(8197,plain,
    ( ( v1_relat_1 @ sK44_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7854]) ).

thf(8198,plain,
    ! [SV151: $i] :
      ( ( ( ( v3_struct_0 @ SV151 )
          | ~ ( v10_lattices @ SV151 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV151 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY475: $i] :
                    ( ( v3_struct_0 @ SY475 )
                    | ~ ( v10_lattices @ SY475 )
                    | ~ ( l3_lattices @ SY475 )
                    | ~ ( v12_lattices @ SV151 )
                    | ~ ( v12_lattices @ SY475 )
                    | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY475 ) ) )
              | ~ ~ ( ~ ! [SY476: $i] :
                          ( ( v3_struct_0 @ SY476 )
                          | ~ ( v10_lattices @ SY476 )
                          | ~ ( l3_lattices @ SY476 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                          | ( v12_lattices @ SV151 ) )
                    | ~ ! [SY477: $i] :
                          ( ( v3_struct_0 @ SY477 )
                          | ~ ( v10_lattices @ SY477 )
                          | ~ ( l3_lattices @ SY477 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                          | ( v12_lattices @ SY477 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7855]) ).

thf(8199,plain,
    ! [SV152: $i] :
      ( ( ( ( v3_struct_0 @ SV152 )
          | ~ ( v10_lattices @ SV152 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV152 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY478: $i] :
                    ( ( v3_struct_0 @ SY478 )
                    | ~ ( v10_lattices @ SY478 )
                    | ~ ( l3_lattices @ SY478 )
                    | ~ ( r1_filter_1 @ SV152 @ SY478 )
                    | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY478 ) ) )
              | ~ ! [SY479: $i] :
                    ( ( v3_struct_0 @ SY479 )
                    | ~ ( v10_lattices @ SY479 )
                    | ~ ( l3_lattices @ SY479 )
                    | ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY479 ) )
                    | ( r1_filter_1 @ SV152 @ SY479 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7856]) ).

thf(8200,plain,
    ( ( ~ ( v1_xboole_0 @ sK35_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7857]) ).

thf(8201,plain,
    ( ( ~ ( v1_realset1 @ sK35_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7858]) ).

thf(8202,plain,
    ! [SV153: $i] :
      ( ( ( ( v3_struct_0 @ SV153 )
          | ~ ( v2_pre_topc @ SV153 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV153 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY480: $i] :
                    ( ~ ( m1_borsuk_1 @ SY480 @ SV153 )
                    | ~ ( v1_xboole_0 @ SY480 ) )
              | ~ ! [SY481: $i] :
                    ( ~ ( m1_borsuk_1 @ SY481 @ SV153 )
                    | ( m1_eqrel_1 @ SY481 @ ( u1_struct_0 @ SV153 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7859]) ).

thf(8203,plain,
    ( ( l1_pre_topc @ sK71_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7860]) ).

thf(8204,plain,
    ( ( v1_pre_topc @ sK71_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7861]) ).

thf(8205,plain,
    ( ( ~ ( ~ ( v1_relat_1 @ sK41_A )
          | ~ ( v1_xboole_0 @ sK41_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7862]) ).

thf(8206,plain,
    ( ( v1_funct_1 @ sK41_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7863]) ).

thf(8207,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7864]) ).

thf(8208,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( l3_lattices @ ( k12_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7865]) ).

thf(8209,plain,
    ( ( v1_funct_1 @ sK42_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7866]) ).

thf(8210,plain,
    ( ( v1_relat_1 @ sK42_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7867]) ).

thf(8211,plain,
    ( ( v1_relat_1 @ sK45_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7868]) ).

thf(8212,plain,
    ( ( v1_xboole_0 @ sK45_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7869]) ).

thf(8213,plain,
    ( ( l1_struct_0 @ sK34_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7870]) ).

thf(8214,plain,
    ( ( v1_struct_0 @ sK34_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7871]) ).

thf(8215,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_vectsp_1 @ SX0 )
          | ( l1_rlvect_1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7872]) ).

thf(8216,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_vectsp_1 @ SX0 )
          | ( l2_vectsp_1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7873]) ).

thf(8217,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ~ ( l1_pre_topc @ SX0 )
                | ( v3_struct_0 @ SX1 )
                | ~ ( v2_pre_topc @ SX1 )
                | ~ ( l1_pre_topc @ SX1 )
                | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ~ ( l1_pre_topc @ SX0 )
                | ( v3_struct_0 @ SX1 )
                | ~ ( v2_pre_topc @ SX1 )
                | ~ ( l1_pre_topc @ SX1 )
                | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7874]) ).

thf(8218,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( l1_pre_topc @ SX0 )
          | ( v3_struct_0 @ SX1 )
          | ~ ( v2_pre_topc @ SX1 )
          | ~ ( l1_pre_topc @ SX1 )
          | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7875]) ).

thf(8219,plain,
    ! [SV154: $i] :
      ( ( ( l1_pre_topc @ SV154 )
        = $false )
      | ( ( ~ ( ~ ( m1_pre_topc @ ( sK69_B @ SV154 ) @ SV154 )
              | ~ ( v1_pre_topc @ ( sK69_B @ SV154 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[7876]) ).

thf(8220,plain,
    ( ( ~ ( ~ ( l1_rlvect_1 @ sK58_A )
          | ~ ~ ( v3_struct_0 @ sK58_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7877]) ).

thf(8221,plain,
    ( ( v13_vectsp_1 @ sK58_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7878]) ).

thf(8222,plain,
    ( ( ~ ( ~ ~ ( ~ ( l1_pre_topc @ sK70_A )
                | ~ ~ ( v3_struct_0 @ sK70_A ) )
          | ~ ( v1_pre_topc @ sK70_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7879]) ).

thf(8223,plain,
    ( ( v2_pre_topc @ sK70_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7880]) ).

thf(8224,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( v1_relat_1 @ SX1 )
          | ~ ( v1_xboole_0 @ SX0 )
          | ( v1_relat_1 @ ( k5_relat_1 @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7881]) ).

thf(8225,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( v1_relat_1 @ SX1 )
          | ~ ( v1_xboole_0 @ SX0 )
          | ( v1_xboole_0 @ ( k5_relat_1 @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7882]) ).

thf(8226,plain,
    ! [SV155: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV155 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV155 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 )
                    | ~ ( v1_pre_topc @ ( sK67_B @ SV155 ) ) )
              | ~ ( v2_pre_topc @ ( sK67_B @ SV155 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7883]) ).

thf(8227,plain,
    ( ( ! [SX0: $i] :
          ( ( SX0 != k1_xboole_0 )
          | ( v1_xboole_0 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7884]) ).

thf(8228,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( v1_xboole_0 @ SX0 )
          | ( SX0 = k1_xboole_0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7885]) ).

thf(8229,plain,
    ( ( ~ ( ~ ( l1_vectsp_1 @ sK61_A )
          | ~ ~ ( v3_struct_0 @ sK61_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7886]) ).

thf(8230,plain,
    ( ( v1_vectsp_1 @ sK61_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7887]) ).

thf(8231,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l1_struct_0 @ SX0 )
          | ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7888]) ).

thf(8232,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l1_struct_0 @ SX0 )
          | ( v1_setfam_1 @ ( k15_borsuk_1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7889]) ).

thf(8233,plain,
    ! [SV156: $i] :
      ( ( ( ( v3_struct_0 @ SV156 )
          | ~ ( v10_lattices @ SV156 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV156 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY482: $i] :
                    ( ( v3_struct_0 @ SY482 )
                    | ~ ( v10_lattices @ SY482 )
                    | ~ ( l3_lattices @ SY482 )
                    | ! [SY483: $i] :
                        ( ~ ( m1_lattice4 @ SY483 @ SV156 @ SY482 )
                        | ~ ( v3_lattice4 @ SY483 @ SV156 @ SY482 ) )
                    | ( r1_filter_1 @ SV156 @ SY482 ) )
              | ~ ! [SY484: $i] :
                    ( ( v3_struct_0 @ SY484 )
                    | ~ ( v10_lattices @ SY484 )
                    | ~ ( l3_lattices @ SY484 )
                    | ~ ( r1_filter_1 @ SV156 @ SY484 )
                    | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 )
                        | ~ ( v3_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7890]) ).

thf(8234,plain,
    ( ( ~ ( ~ ( v1_funct_1 @ sK40_A )
          | ~ ( v1_relat_1 @ sK40_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7891]) ).

thf(8235,plain,
    ( ( v2_funct_1 @ sK40_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7892]) ).

thf(8236,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v15_lattices @ SX0 )
                | ~ ( v3_struct_0 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v15_lattices @ SX0 )
                | ( v13_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7893]) ).

thf(8237,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v15_lattices @ SX0 )
          | ( v14_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7894]) ).

thf(8238,plain,
    ! [SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                                      ( ( v3_struct_0 @ SY485 )
                                      | ~ ( v10_lattices @ SY485 )
                                      | ~ ( l3_lattices @ SY485 )
                                      | ( v3_struct_0 @ SV157 )
                                      | ~ ( v10_lattices @ SV157 )
                                      | ~ ( v17_lattices @ SV157 )
                                      | ~ ( l3_lattices @ SV157 )
                                      | ( v3_struct_0 @ SY485 )
                                      | ~ ( v10_lattices @ SY485 )
                                      | ~ ( v17_lattices @ SY485 )
                                      | ~ ( l3_lattices @ SY485 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                                | ~ ! [SY486: $i] :
                                      ( ( v3_struct_0 @ SY486 )
                                      | ~ ( v10_lattices @ SY486 )
                                      | ~ ( l3_lattices @ SY486 )
                                      | ( v3_struct_0 @ SV157 )
                                      | ~ ( v10_lattices @ SV157 )
                                      | ~ ( v17_lattices @ SV157 )
                                      | ~ ( l3_lattices @ SV157 )
                                      | ( v3_struct_0 @ SY486 )
                                      | ~ ( v10_lattices @ SY486 )
                                      | ~ ( v17_lattices @ SY486 )
                                      | ~ ( l3_lattices @ SY486 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                          | ~ ! [SY487: $i] :
                                ( ( v3_struct_0 @ SY487 )
                                | ~ ( v10_lattices @ SY487 )
                                | ~ ( l3_lattices @ SY487 )
                                | ( v3_struct_0 @ SV157 )
                                | ~ ( v10_lattices @ SV157 )
                                | ~ ( v17_lattices @ SV157 )
                                | ~ ( l3_lattices @ SV157 )
                                | ( v3_struct_0 @ SY487 )
                                | ~ ( v10_lattices @ SY487 )
                                | ~ ( v17_lattices @ SY487 )
                                | ~ ( l3_lattices @ SY487 )
                                | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
                    | ~ ! [SY488: $i] :
                          ( ( v3_struct_0 @ SY488 )
                          | ~ ( v10_lattices @ SY488 )
                          | ~ ( l3_lattices @ SY488 )
                          | ( v3_struct_0 @ SV157 )
                          | ~ ( v10_lattices @ SV157 )
                          | ~ ( v17_lattices @ SV157 )
                          | ~ ( l3_lattices @ SV157 )
                          | ( v3_struct_0 @ SY488 )
                          | ~ ( v10_lattices @ SY488 )
                          | ~ ( v17_lattices @ SY488 )
                          | ~ ( l3_lattices @ SY488 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                              ( ( v3_struct_0 @ SY489 )
                                                              | ~ ( v10_lattices @ SY489 )
                                                              | ~ ( l3_lattices @ SY489 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v3_struct_0 @ SV157 ) )
                                                        | ~ ! [SY490: $i] :
                                                              ( ( v3_struct_0 @ SY490 )
                                                              | ~ ( v10_lattices @ SY490 )
                                                              | ~ ( l3_lattices @ SY490 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ( v10_lattices @ SV157 ) ) )
                                                  | ~ ! [SY491: $i] :
                                                        ( ( v3_struct_0 @ SY491 )
                                                        | ~ ( v10_lattices @ SY491 )
                                                        | ~ ( l3_lattices @ SY491 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ( v17_lattices @ SV157 ) ) )
                                            | ~ ! [SY492: $i] :
                                                  ( ( v3_struct_0 @ SY492 )
                                                  | ~ ( v10_lattices @ SY492 )
                                                  | ~ ( l3_lattices @ SY492 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ( l3_lattices @ SV157 ) ) )
                                      | ~ ! [SY493: $i] :
                                            ( ( v3_struct_0 @ SY493 )
                                            | ~ ( v10_lattices @ SY493 )
                                            | ~ ( l3_lattices @ SY493 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v3_struct_0 @ SY493 ) ) )
                                | ~ ! [SY494: $i] :
                                      ( ( v3_struct_0 @ SY494 )
                                      | ~ ( v10_lattices @ SY494 )
                                      | ~ ( l3_lattices @ SY494 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ( v10_lattices @ SY494 ) ) )
                          | ~ ! [SY495: $i] :
                                ( ( v3_struct_0 @ SY495 )
                                | ~ ( v10_lattices @ SY495 )
                                | ~ ( l3_lattices @ SY495 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ( v17_lattices @ SY495 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ( v3_struct_0 @ SY496 )
                          | ~ ( v10_lattices @ SY496 )
                          | ~ ( l3_lattices @ SY496 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ( l3_lattices @ SY496 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7895]) ).

thf(8239,plain,
    ! [SV158: $i] :
      ( ( ( ( v3_struct_0 @ SV158 )
          | ~ ( v10_lattices @ SV158 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV158 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY497: $i] :
                    ( ( v3_struct_0 @ SY497 )
                    | ~ ( v10_lattices @ SY497 )
                    | ~ ( l3_lattices @ SY497 )
                    | ~ ( v3_filter_0 @ SV158 )
                    | ~ ( v3_filter_0 @ SY497 )
                    | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY497 ) ) )
              | ~ ~ ( ~ ! [SY498: $i] :
                          ( ( v3_struct_0 @ SY498 )
                          | ~ ( v10_lattices @ SY498 )
                          | ~ ( l3_lattices @ SY498 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                          | ( v3_filter_0 @ SV158 ) )
                    | ~ ! [SY499: $i] :
                          ( ( v3_struct_0 @ SY499 )
                          | ~ ( v10_lattices @ SY499 )
                          | ~ ( l3_lattices @ SY499 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                          | ( v3_filter_0 @ SY499 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7896]) ).

thf(8240,plain,
    ( ( l3_vectsp_1 @ sK18_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7897]) ).

thf(8241,plain,
    ( ( v3_vectsp_1 @ sK18_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7898]) ).

thf(8242,plain,
    ( ( l2_rlvect_1 @ sK64_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7899]) ).

thf(8243,plain,
    ( ( ~ ( v3_struct_0 @ sK64_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7900]) ).

thf(8244,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( v1_xboole_0 @ SX0 )
          | ( v1_relat_1 @ ( k1_relat_1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7901]) ).

thf(8245,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( v1_xboole_0 @ SX0 )
          | ( v1_xboole_0 @ ( k1_relat_1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7902]) ).

thf(8246,plain,
    ! [SV209: $i,SV159: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV159 )
          | ( v3_struct_0 @ SV209 )
          | ~ ( l1_struct_0 @ SV209 ) )
        = $true )
      | ( ( ~ ( ~ ( m5_grcat_1 @ ( sK4_C @ SV209 @ SV159 ) @ SV159 @ SV209 )
              | ~ ~ ( v1_xboole_0 @ ( sK4_C @ SV209 @ SV159 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7903]) ).

thf(8247,plain,
    ( ( ~ ( ~ ( l3_lattices @ sK73_A )
          | ~ ~ ( v3_struct_0 @ sK73_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7904]) ).

thf(8248,plain,
    ( ( v3_lattices @ sK73_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7905]) ).

thf(8249,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX1 )
          | ~ ( l3_lattices @ SX1 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7906]) ).

thf(8250,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX1 )
          | ~ ( l3_lattices @ SX1 )
          | ( v3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7907]) ).

thf(8251,plain,
    ! [SV160: $i] :
      ( ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV160 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                                            ( ( v3_struct_0 @ SY501 )
                                            | ~ ( l3_lattices @ SY501 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                            | ~ ( v3_struct_0 @ SV160 ) )
                                      | ~ ! [SY502: $i] :
                                            ( ( v3_struct_0 @ SY502 )
                                            | ~ ( l3_lattices @ SY502 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                            | ( v10_lattices @ SV160 ) ) )
                                | ~ ! [SY503: $i] :
                                      ( ( v3_struct_0 @ SY503 )
                                      | ~ ( l3_lattices @ SY503 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                      | ( l3_lattices @ SV160 ) ) )
                          | ~ ! [SY504: $i] :
                                ( ( v3_struct_0 @ SY504 )
                                | ~ ( l3_lattices @ SY504 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                                | ~ ( v3_struct_0 @ SY504 ) ) )
                    | ~ ! [SY505: $i] :
                          ( ( v3_struct_0 @ SY505 )
                          | ~ ( l3_lattices @ SY505 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY505 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                          | ( v10_lattices @ SY505 ) ) )
              | ~ ! [SY506: $i] :
                    ( ( v3_struct_0 @ SY506 )
                    | ~ ( l3_lattices @ SY506 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY506 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                    | ( l3_lattices @ SY506 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7908]) ).

thf(8252,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_struct_0 @ SX0 )
          | ~ ( v1_realset1 @ ( u1_struct_0 @ SX0 ) )
          | ( v3_realset2 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7909]) ).

thf(8253,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_struct_0 @ SX0 )
          | ~ ( v3_realset2 @ SX0 )
          | ( v1_realset1 @ ( u1_struct_0 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7910]) ).

thf(8254,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX1 )
          | ~ ( l3_lattices @ SX1 )
          | ( l3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7911]) ).

thf(8255,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX1 )
          | ~ ( l3_lattices @ SX1 )
          | ( v3_lattices @ ( k8_filter_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7912]) ).

thf(8256,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_struct_0 @ SX0 )
          | ~ ( v1_finset_1 @ ( u1_struct_0 @ SX0 ) )
          | ( v6_group_1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7913]) ).

thf(8257,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_struct_0 @ SX0 )
          | ~ ( v6_group_1 @ SX0 )
          | ( v1_finset_1 @ ( u1_struct_0 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7914]) ).

thf(8258,plain,
    ( ( l1_struct_0 @ sK78_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7915]) ).

thf(8259,plain,
    ( ( ~ ( v3_struct_0 @ sK78_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7916]) ).

thf(8260,plain,
    ! [SV161: $i] :
      ( ( ( ( v3_struct_0 @ SV161 )
          | ~ ( v10_lattices @ SV161 )
          | ~ ( v17_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY507: $i] :
                    ( ~ ( m1_filter_0 @ SY507 @ SV161 )
                    | ( SY507
                      = ( k1_filter_0 @ SV161 ) )
                    | ~ ( v2_filter_0 @ SY507 @ SV161 )
                    | ( v1_filter_0 @ SY507 @ SV161 ) )
              | ~ ~ ( ~ ! [SY508: $i] :
                          ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                          | ~ ( v1_filter_0 @ SY508 @ SV161 )
                          | ( SY508
                           != ( k1_filter_0 @ SV161 ) ) )
                    | ~ ! [SY509: $i] :
                          ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                          | ~ ( v1_filter_0 @ SY509 @ SV161 )
                          | ( v2_filter_0 @ SY509 @ SV161 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7917]) ).

thf(8261,plain,
    ( ( ~ ( ~ ( l3_vectsp_1 @ sK13_A )
          | ~ ( v3_vectsp_1 @ sK13_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7918]) ).

thf(8262,plain,
    ( ( v4_realset2 @ sK13_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7919]) ).

thf(8263,plain,
    ( ( l2_struct_0 @ sK77_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7920]) ).

thf(8264,plain,
    ( ( ~ ( v3_struct_0 @ sK77_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7921]) ).

thf(8265,plain,
    ( ( ~ ( v1_xboole_0 @ sK37_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7922]) ).

thf(8266,plain,
    ( ( v1_fraenkel @ sK37_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7923]) ).

thf(8267,plain,
    ( ( ~ ( ~ ( l2_vectsp_1 @ sK60_A )
          | ~ ~ ( v3_struct_0 @ sK60_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7924]) ).

thf(8268,plain,
    ( ( v2_vectsp_1 @ sK60_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7925]) ).

thf(8269,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( l1_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7926]) ).

thf(8270,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( l2_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7927]) ).

thf(8271,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v13_lattices @ SX0 )
          | ~ ( v14_lattices @ SX0 )
          | ~ ( v3_struct_0 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7928]) ).

thf(8272,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v13_lattices @ SX0 )
          | ~ ( v14_lattices @ SX0 )
          | ( v15_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7929]) ).

thf(8273,plain,
    ( ( ~ ( v1_xboole_0 @ sK5_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7930]) ).

thf(8274,plain,
    ( ( v5_grcat_1 @ sK5_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7931]) ).

thf(8275,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v13_lattices @ ( k1_lattice2 @ SX0 ) )
          | ( v14_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7932]) ).

thf(8276,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v14_lattices @ SX0 )
          | ( v13_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7933]) ).

thf(8277,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v13_lattices @ SX0 )
          | ~ ( v14_lattices @ SX0 )
          | ( v15_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7934]) ).

thf(8278,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v15_lattices @ SX0 )
                | ( v13_lattices @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v15_lattices @ SX0 )
                | ( v14_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7935]) ).

thf(8279,plain,
    ( ( l3_vectsp_1 @ k3_vectsp_1 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7936]) ).

thf(8280,plain,
    ( ( v3_vectsp_1 @ k3_vectsp_1 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7937]) ).

thf(8281,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_struct_0 @ SX0 )
          | ~ ( v1_xboole_0 @ ( u1_struct_0 @ SX0 ) )
          | ( v3_struct_0 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7938]) ).

thf(8282,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_struct_0 @ SX0 )
          | ~ ( v3_struct_0 @ SX0 )
          | ( v1_xboole_0 @ ( u1_struct_0 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7939]) ).

thf(8283,plain,
    ( ( ~ ( v3_struct_0 @ k3_vectsp_1 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7940]) ).

thf(8284,plain,
    ( ( v3_vectsp_1 @ k3_vectsp_1 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7941]) ).

thf(8285,plain,
    ! [SV162: $i] :
      ( ( ( ( v3_struct_0 @ SV162 )
          | ~ ( v10_lattices @ SV162 )
          | ~ ( v17_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY510: $i] :
                                ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                          | ~ ! [SY511: $i] :
                                ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                                | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
                    | ~ ! [SY512: $i] :
                          ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                          | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
              | ~ ! [SY513: $i] :
                    ( ~ ( m1_filter_0 @ SY513 @ SV162 )
                    | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7942]) ).

thf(8286,plain,
    ! [SV163: $i] :
      ( ( ( ( v3_struct_0 @ SV163 )
          | ~ ( v2_pre_topc @ SV163 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV163 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                                | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                          | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
                    | ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK7_B @ SV163 ) @ SV163 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7943]) ).

thf(8287,plain,
    ( ( l2_vectsp_1 @ sK19_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7944]) ).

thf(8288,plain,
    ( ( v2_vectsp_1 @ sK19_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7945]) ).

thf(8289,plain,
    ( ( ~ ( v1_xboole_0 @ sK38_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7946]) ).

thf(8290,plain,
    ( ( v1_finset_1 @ sK38_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7947]) ).

thf(8291,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v1_funct_1 @ ( k8_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7948]) ).

thf(8292,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v1_relat_1 @ ( k8_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7949]) ).

thf(8293,plain,
    ( ( ~ ( ~ ( l3_vectsp_1 @ sK56_A )
          | ~ ( v3_vectsp_1 @ sK56_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7950]) ).

thf(8294,plain,
    ( ( ~ ( v3_realset2 @ sK56_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7951]) ).

thf(8295,plain,
    ( ( l1_rlvect_1 @ k1_vectsp_1 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7952]) ).

thf(8296,plain,
    ( ( v1_rlvect_1 @ k1_vectsp_1 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7953]) ).

thf(8297,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( v1_xboole_0 @ SX0 )
          | ( v1_relat_1 @ ( k4_relat_1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7954]) ).

thf(8298,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( v1_xboole_0 @ SX0 )
          | ( v1_xboole_0 @ ( k4_relat_1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7955]) ).

thf(8299,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( v1_xboole_0 @ SX0 )
          | ( v1_relat_1 @ ( k2_relat_1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7956]) ).

thf(8300,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( v1_xboole_0 @ SX0 )
          | ( v1_xboole_0 @ ( k2_relat_1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7957]) ).

thf(8301,plain,
    ! [SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                                      ( ( v3_struct_0 @ SY514 )
                                      | ~ ( v10_lattices @ SY514 )
                                      | ~ ( l3_lattices @ SY514 )
                                      | ( v3_struct_0 @ SV164 )
                                      | ~ ( v10_lattices @ SV164 )
                                      | ~ ( v11_lattices @ SV164 )
                                      | ~ ( l3_lattices @ SV164 )
                                      | ( v3_struct_0 @ SY514 )
                                      | ~ ( v10_lattices @ SY514 )
                                      | ~ ( v11_lattices @ SY514 )
                                      | ~ ( l3_lattices @ SY514 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                                | ~ ! [SY515: $i] :
                                      ( ( v3_struct_0 @ SY515 )
                                      | ~ ( v10_lattices @ SY515 )
                                      | ~ ( l3_lattices @ SY515 )
                                      | ( v3_struct_0 @ SV164 )
                                      | ~ ( v10_lattices @ SV164 )
                                      | ~ ( v11_lattices @ SV164 )
                                      | ~ ( l3_lattices @ SV164 )
                                      | ( v3_struct_0 @ SY515 )
                                      | ~ ( v10_lattices @ SY515 )
                                      | ~ ( v11_lattices @ SY515 )
                                      | ~ ( l3_lattices @ SY515 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                          | ~ ! [SY516: $i] :
                                ( ( v3_struct_0 @ SY516 )
                                | ~ ( v10_lattices @ SY516 )
                                | ~ ( l3_lattices @ SY516 )
                                | ( v3_struct_0 @ SV164 )
                                | ~ ( v10_lattices @ SV164 )
                                | ~ ( v11_lattices @ SV164 )
                                | ~ ( l3_lattices @ SV164 )
                                | ( v3_struct_0 @ SY516 )
                                | ~ ( v10_lattices @ SY516 )
                                | ~ ( v11_lattices @ SY516 )
                                | ~ ( l3_lattices @ SY516 )
                                | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
                    | ~ ! [SY517: $i] :
                          ( ( v3_struct_0 @ SY517 )
                          | ~ ( v10_lattices @ SY517 )
                          | ~ ( l3_lattices @ SY517 )
                          | ( v3_struct_0 @ SV164 )
                          | ~ ( v10_lattices @ SV164 )
                          | ~ ( v11_lattices @ SV164 )
                          | ~ ( l3_lattices @ SV164 )
                          | ( v3_struct_0 @ SY517 )
                          | ~ ( v10_lattices @ SY517 )
                          | ~ ( v11_lattices @ SY517 )
                          | ~ ( l3_lattices @ SY517 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                              ( ( v3_struct_0 @ SY518 )
                                                              | ~ ( v10_lattices @ SY518 )
                                                              | ~ ( l3_lattices @ SY518 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v3_struct_0 @ SV164 ) )
                                                        | ~ ! [SY519: $i] :
                                                              ( ( v3_struct_0 @ SY519 )
                                                              | ~ ( v10_lattices @ SY519 )
                                                              | ~ ( l3_lattices @ SY519 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ( v10_lattices @ SV164 ) ) )
                                                  | ~ ! [SY520: $i] :
                                                        ( ( v3_struct_0 @ SY520 )
                                                        | ~ ( v10_lattices @ SY520 )
                                                        | ~ ( l3_lattices @ SY520 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ( v11_lattices @ SV164 ) ) )
                                            | ~ ! [SY521: $i] :
                                                  ( ( v3_struct_0 @ SY521 )
                                                  | ~ ( v10_lattices @ SY521 )
                                                  | ~ ( l3_lattices @ SY521 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ( l3_lattices @ SV164 ) ) )
                                      | ~ ! [SY522: $i] :
                                            ( ( v3_struct_0 @ SY522 )
                                            | ~ ( v10_lattices @ SY522 )
                                            | ~ ( l3_lattices @ SY522 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v3_struct_0 @ SY522 ) ) )
                                | ~ ! [SY523: $i] :
                                      ( ( v3_struct_0 @ SY523 )
                                      | ~ ( v10_lattices @ SY523 )
                                      | ~ ( l3_lattices @ SY523 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ( v10_lattices @ SY523 ) ) )
                          | ~ ! [SY524: $i] :
                                ( ( v3_struct_0 @ SY524 )
                                | ~ ( v10_lattices @ SY524 )
                                | ~ ( l3_lattices @ SY524 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ( v11_lattices @ SY524 ) ) )
                    | ~ ! [SY525: $i] :
                          ( ( v3_struct_0 @ SY525 )
                          | ~ ( v10_lattices @ SY525 )
                          | ~ ( l3_lattices @ SY525 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ( l3_lattices @ SY525 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7958]) ).

thf(8302,plain,
    ! [SV165: $i] :
      ( ( ( ( v3_struct_0 @ SV165 )
          | ~ ( v10_lattices @ SV165 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV165 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY526: $i] :
                    ( ( v3_struct_0 @ SY526 )
                    | ~ ( v10_lattices @ SY526 )
                    | ~ ( l3_lattices @ SY526 )
                    | ~ ( v15_lattices @ SV165 )
                    | ~ ( v15_lattices @ SY526 )
                    | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY526 ) ) )
              | ~ ~ ( ~ ! [SY527: $i] :
                          ( ( v3_struct_0 @ SY527 )
                          | ~ ( v10_lattices @ SY527 )
                          | ~ ( l3_lattices @ SY527 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                          | ( v15_lattices @ SV165 ) )
                    | ~ ! [SY528: $i] :
                          ( ( v3_struct_0 @ SY528 )
                          | ~ ( v10_lattices @ SY528 )
                          | ~ ( l3_lattices @ SY528 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                          | ( v15_lattices @ SY528 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7959]) ).

thf(8303,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7960]) ).

thf(8304,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7961]) ).

thf(8305,plain,
    ! [SV166: $i] :
      ( ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV166 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK68_B @ SV166 ) @ SV166 )
                    | ~ ~ ( v3_struct_0 @ ( sK68_B @ SV166 ) ) )
              | ~ ( v1_pre_topc @ ( sK68_B @ SV166 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7962]) ).

thf(8306,plain,
    ! [SV167: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV167 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV167 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
                          | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
                    | ~ ( v2_pre_topc @ ( sK8_B @ SV167 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK8_B @ SV167 ) @ SV167 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7963]) ).

thf(8307,plain,
    ( ( l1_group_1 @ sK22_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7964]) ).

thf(8308,plain,
    ( ( v1_group_1 @ sK22_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7965]) ).

thf(8309,plain,
    ( ( ~ ( ~ ( l3_vectsp_1 @ sK59_A )
          | ~ ~ ( v3_struct_0 @ sK59_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7966]) ).

thf(8310,plain,
    ( ( v3_vectsp_1 @ sK59_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7967]) ).

thf(8311,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v13_lattices @ SX0 )
          | ~ ( v3_filter_0 @ SX0 )
          | ( v1_lattice2 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7968]) ).

thf(8312,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v1_lattice2 @ SX0 )
                | ( v13_lattices @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v1_lattice2 @ SX0 )
                | ( v3_filter_0 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7969]) ).

thf(8313,plain,
    ( ( v1_relat_1 @ sK43_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7970]) ).

thf(8314,plain,
    ( ( v3_relat_1 @ sK43_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7971]) ).

thf(8315,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7972]) ).

thf(8316,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7973]) ).

thf(8317,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v6_group_1 @ SX0 )
          | ( v6_group_1 @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7974]) ).

thf(8318,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v6_group_1 @ ( k1_lattice2 @ SX0 ) )
          | ( v6_group_1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7975]) ).

thf(8319,plain,
    ( ( ~ ( v3_struct_0 @ k1_vectsp_1 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7976]) ).

thf(8320,plain,
    ( ( v1_rlvect_1 @ k1_vectsp_1 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7977]) ).

thf(8321,plain,
    ! [SV168: $i] :
      ( ( ( ( v3_struct_0 @ SV168 )
          | ~ ( v10_lattices @ SV168 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV168 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY529: $i] :
                    ( ( v3_struct_0 @ SY529 )
                    | ~ ( v10_lattices @ SY529 )
                    | ~ ( l3_lattices @ SY529 )
                    | ~ ( v14_lattices @ SV168 )
                    | ~ ( v14_lattices @ SY529 )
                    | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY529 ) ) )
              | ~ ~ ( ~ ! [SY530: $i] :
                          ( ( v3_struct_0 @ SY530 )
                          | ~ ( v10_lattices @ SY530 )
                          | ~ ( l3_lattices @ SY530 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                          | ( v14_lattices @ SV168 ) )
                    | ~ ! [SY531: $i] :
                          ( ( v3_struct_0 @ SY531 )
                          | ~ ( v10_lattices @ SY531 )
                          | ~ ( l3_lattices @ SY531 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                          | ( v14_lattices @ SY531 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[7978]) ).

thf(8322,plain,
    ( ( ~ ( ~ ~ ( v3_struct_0 @ k22_borsuk_1 )
          | ~ ( v1_pre_topc @ k22_borsuk_1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7979]) ).

thf(8323,plain,
    ( ( v2_pre_topc @ k22_borsuk_1 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7980]) ).

thf(8324,plain,
    ( ( l2_rlvect_1 @ sK25_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7981]) ).

thf(8325,plain,
    ( ( v2_rlvect_1 @ sK25_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7982]) ).

thf(8326,plain,
    ( ( ~ ( v1_xboole_0 @ sK36_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7983]) ).

thf(8327,plain,
    ( ( v1_realset1 @ sK36_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7984]) ).

thf(8328,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l2_vectsp_1 @ SX0 )
          | ( l1_vectsp_1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7985]) ).

thf(8329,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l2_vectsp_1 @ SX0 )
          | ( l2_struct_0 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7986]) ).

thf(8330,plain,
    ( ( ~ ( ~ ( l1_lattices @ sK74_A )
          | ~ ~ ( v3_struct_0 @ sK74_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7987]) ).

thf(8331,plain,
    ( ( v1_lattices @ sK74_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7988]) ).

thf(8332,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( m1_filter_0 @ SX1 @ SX0 )
                      | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( m1_filter_0 @ SX1 @ SX0 )
                      | ( v3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( m1_filter_0 @ SX1 @ SX0 )
                | ( v10_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7989]) ).

thf(8333,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( m1_filter_0 @ SX1 @ SX0 )
          | ( l3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7990]) ).

thf(8334,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_pre_topc @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ( v3_pre_topc @ ( k2_pre_topc @ SX0 ) @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7991]) ).

thf(8335,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_pre_topc @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ( v4_pre_topc @ ( k2_pre_topc @ SX0 ) @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7992]) ).

thf(8336,plain,
    ( ( ~ ( ~ ( l2_lattices @ sK75_A )
          | ~ ~ ( v3_struct_0 @ sK75_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7993]) ).

thf(8337,plain,
    ( ( v2_lattices @ sK75_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7994]) ).

thf(8338,plain,
    ( ( ~ ( v1_xboole_0 @ sK6_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7995]) ).

thf(8339,plain,
    ( ( v4_grcat_1 @ sK6_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7996]) ).

thf(8340,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( l1_pre_topc @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ~ ( v2_pre_topc @ SX1 )
                | ~ ( l1_pre_topc @ SX1 )
                | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( l1_pre_topc @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ~ ( v2_pre_topc @ SX1 )
                | ~ ( l1_pre_topc @ SX1 )
                | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7997]) ).

thf(8341,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( l1_pre_topc @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( v2_pre_topc @ SX1 )
          | ~ ( l1_pre_topc @ SX1 )
          | ( l1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7998]) ).

thf(8342,plain,
    ( ( ~ ( ~ ( l1_group_1 @ sK62_A )
          | ~ ~ ( v3_struct_0 @ sK62_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7999]) ).

thf(8343,plain,
    ( ( v1_group_1 @ sK62_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8000]) ).

thf(8344,plain,
    ( ( v1_relat_1 @ k1_xboole_0 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8001]) ).

thf(8345,plain,
    ( ( v1_xboole_0 @ k1_xboole_0 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8002]) ).

thf(8346,plain,
    ( ( l3_lattices @ sK76_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8003]) ).

thf(8347,plain,
    ( ( v3_lattices @ sK76_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8004]) ).

thf(8348,plain,
    ( ( l2_struct_0 @ sK33_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8005]) ).

thf(8349,plain,
    ( ( v2_struct_0 @ sK33_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8006]) ).

thf(8350,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v11_lattices @ SX0 )
          | ~ ( v15_lattices @ SX0 )
          | ~ ( v16_lattices @ SX0 )
          | ~ ( v3_struct_0 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8007]) ).

thf(8351,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v11_lattices @ SX0 )
          | ~ ( v15_lattices @ SX0 )
          | ~ ( v16_lattices @ SX0 )
          | ( v17_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8008]) ).

thf(8352,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ~ ( l1_pre_topc @ SX0 )
                | ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v2_pre_topc @ SX0 )
                | ~ ( l1_pre_topc @ SX0 )
                | ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8009]) ).

thf(8353,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( l1_pre_topc @ SX0 )
          | ( l3_lattices @ ( k6_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8010]) ).

thf(8354,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( v1_relat_1 @ SX0 )
                | ~ ( v1_xboole_0 @ SX0 )
                | ~ ( v1_funct_1 @ SX0 )
                | ( v1_funct_1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( v1_relat_1 @ SX0 )
                | ~ ( v1_xboole_0 @ SX0 )
                | ~ ( v1_funct_1 @ SX0 )
                | ( v1_relat_1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8011]) ).

thf(8355,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( v1_relat_1 @ SX0 )
          | ~ ( v1_xboole_0 @ SX0 )
          | ~ ( v1_funct_1 @ SX0 )
          | ( v2_funct_1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8012]) ).

thf(8356,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8013]) ).

thf(8357,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8014]) ).

thf(8358,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( v1_relat_1 @ SX1 )
          | ~ ( v1_xboole_0 @ SX0 )
          | ( v1_relat_1 @ ( k5_relat_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8015]) ).

thf(8359,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( v1_relat_1 @ SX1 )
          | ~ ( v1_xboole_0 @ SX0 )
          | ( v1_xboole_0 @ ( k5_relat_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8016]) ).

thf(8360,plain,
    ( ( l1_rlvect_1 @ sK26_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8017]) ).

thf(8361,plain,
    ( ( v1_rlvect_1 @ sK26_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8018]) ).

thf(8362,plain,
    ( ( l1_vectsp_1 @ sK20_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8019]) ).

thf(8363,plain,
    ( ( v1_vectsp_1 @ sK20_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8020]) ).

thf(8364,plain,
    ( ( l1_lattices @ sK30_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8021]) ).

thf(8365,plain,
    ( ( v1_lattices @ sK30_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8022]) ).

thf(8366,plain,
    ! [SV169: $i] :
      ( ( ( ( v3_struct_0 @ SV169 )
          | ~ ( v10_lattices @ SV169 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV169 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY532: $i] :
                    ( ( v3_struct_0 @ SY532 )
                    | ~ ( v10_lattices @ SY532 )
                    | ~ ( l3_lattices @ SY532 )
                    | ~ ( v13_lattices @ SV169 )
                    | ~ ( v13_lattices @ SY532 )
                    | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY532 ) ) )
              | ~ ~ ( ~ ! [SY533: $i] :
                          ( ( v3_struct_0 @ SY533 )
                          | ~ ( v10_lattices @ SY533 )
                          | ~ ( l3_lattices @ SY533 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                          | ( v13_lattices @ SV169 ) )
                    | ~ ! [SY534: $i] :
                          ( ( v3_struct_0 @ SY534 )
                          | ~ ( v10_lattices @ SY534 )
                          | ~ ( l3_lattices @ SY534 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                          | ( v13_lattices @ SY534 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8023]) ).

thf(8367,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v3_realset2 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8024]) ).

thf(8368,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( l1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8025]) ).

thf(8369,plain,
    ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK39_A )
                | ~ ( v1_relat_1 @ sK39_A ) )
          | ~ ( v2_funct_1 @ sK39_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8026]) ).

thf(8370,plain,
    ( ( v1_xboole_0 @ sK39_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8027]) ).

thf(8371,plain,
    ( ( ~ ( ~ ~ ( v3_struct_0 @ k3_vectsp_1 )
          | ~ ( v2_group_1 @ k3_vectsp_1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8028]) ).

thf(8372,plain,
    ( ( v3_vectsp_1 @ k3_vectsp_1 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8029]) ).

thf(8373,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                  ( ~ ( l3_lattices @ SX0 )
                                  | ( v3_struct_0 @ SX0 )
                                  | ~ ( v17_lattices @ SX0 )
                                  | ~ ( v3_struct_0 @ SX0 ) )
                            | ~ ! [SX0: $i] :
                                  ( ~ ( l3_lattices @ SX0 )
                                  | ( v3_struct_0 @ SX0 )
                                  | ~ ( v17_lattices @ SX0 )
                                  | ( v11_lattices @ SX0 ) ) )
                      | ~ ! [SX0: $i] :
                            ( ~ ( l3_lattices @ SX0 )
                            | ( v3_struct_0 @ SX0 )
                            | ~ ( v17_lattices @ SX0 )
                            | ( v13_lattices @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v14_lattices @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v15_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8030]) ).

thf(8374,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v16_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8031]) ).

thf(8375,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v13_lattices @ SX0 )
          | ( v14_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8032]) ).

thf(8376,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v14_lattices @ ( k1_lattice2 @ SX0 ) )
          | ( v13_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8033]) ).

thf(8377,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_struct_0 @ SX0 )
          | ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SX0 ) @ ( u1_struct_0 @ SX0 ) )
              | ~ ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SX0 ) @ ( u1_struct_0 @ SX0 ) )
                    | ~ ( ( ( sK11_B @ SX0 )
                         != ( sK12_SY394 @ SX0 ) ) ) ) )
          | ( v3_realset2 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8034]) ).

thf(8378,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l1_struct_0 @ SX0 )
          | ~ ( v3_realset2 @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
              | ! [SX2: $i] :
                  ( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
                  | ( SX1 = SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8035]) ).

thf(8379,plain,
    ! [SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                            ( ( v3_struct_0 @ SY535 )
                                            | ~ ( v10_lattices @ SY535 )
                                            | ~ ( l3_lattices @ SY535 )
                                            | ( v3_struct_0 @ SV170 )
                                            | ~ ( v10_lattices @ SV170 )
                                            | ~ ( v15_lattices @ SV170 )
                                            | ~ ( v16_lattices @ SV170 )
                                            | ~ ( l3_lattices @ SV170 )
                                            | ( v3_struct_0 @ SY535 )
                                            | ~ ( v10_lattices @ SY535 )
                                            | ~ ( v15_lattices @ SY535 )
                                            | ~ ( v16_lattices @ SY535 )
                                            | ~ ( l3_lattices @ SY535 )
                                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                                      | ~ ! [SY536: $i] :
                                            ( ( v3_struct_0 @ SY536 )
                                            | ~ ( v10_lattices @ SY536 )
                                            | ~ ( l3_lattices @ SY536 )
                                            | ( v3_struct_0 @ SV170 )
                                            | ~ ( v10_lattices @ SV170 )
                                            | ~ ( v15_lattices @ SV170 )
                                            | ~ ( v16_lattices @ SV170 )
                                            | ~ ( l3_lattices @ SV170 )
                                            | ( v3_struct_0 @ SY536 )
                                            | ~ ( v10_lattices @ SY536 )
                                            | ~ ( v15_lattices @ SY536 )
                                            | ~ ( v16_lattices @ SY536 )
                                            | ~ ( l3_lattices @ SY536 )
                                            | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                                | ~ ! [SY537: $i] :
                                      ( ( v3_struct_0 @ SY537 )
                                      | ~ ( v10_lattices @ SY537 )
                                      | ~ ( l3_lattices @ SY537 )
                                      | ( v3_struct_0 @ SV170 )
                                      | ~ ( v10_lattices @ SV170 )
                                      | ~ ( v15_lattices @ SV170 )
                                      | ~ ( v16_lattices @ SV170 )
                                      | ~ ( l3_lattices @ SV170 )
                                      | ( v3_struct_0 @ SY537 )
                                      | ~ ( v10_lattices @ SY537 )
                                      | ~ ( v15_lattices @ SY537 )
                                      | ~ ( v16_lattices @ SY537 )
                                      | ~ ( l3_lattices @ SY537 )
                                      | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                          | ~ ! [SY538: $i] :
                                ( ( v3_struct_0 @ SY538 )
                                | ~ ( v10_lattices @ SY538 )
                                | ~ ( l3_lattices @ SY538 )
                                | ( v3_struct_0 @ SV170 )
                                | ~ ( v10_lattices @ SV170 )
                                | ~ ( v15_lattices @ SV170 )
                                | ~ ( v16_lattices @ SV170 )
                                | ~ ( l3_lattices @ SV170 )
                                | ( v3_struct_0 @ SY538 )
                                | ~ ( v10_lattices @ SY538 )
                                | ~ ( v15_lattices @ SY538 )
                                | ~ ( v16_lattices @ SY538 )
                                | ~ ( l3_lattices @ SY538 )
                                | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
                    | ~ ! [SY539: $i] :
                          ( ( v3_struct_0 @ SY539 )
                          | ~ ( v10_lattices @ SY539 )
                          | ~ ( l3_lattices @ SY539 )
                          | ( v3_struct_0 @ SV170 )
                          | ~ ( v10_lattices @ SV170 )
                          | ~ ( v15_lattices @ SV170 )
                          | ~ ( v16_lattices @ SV170 )
                          | ~ ( l3_lattices @ SV170 )
                          | ( v3_struct_0 @ SY539 )
                          | ~ ( v10_lattices @ SY539 )
                          | ~ ( v15_lattices @ SY539 )
                          | ~ ( v16_lattices @ SY539 )
                          | ~ ( l3_lattices @ SY539 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                          ( ( v3_struct_0 @ SY540 )
                                                                          | ~ ( v10_lattices @ SY540 )
                                                                          | ~ ( l3_lattices @ SY540 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v3_struct_0 @ SV170 ) )
                                                                    | ~ ! [SY541: $i] :
                                                                          ( ( v3_struct_0 @ SY541 )
                                                                          | ~ ( v10_lattices @ SY541 )
                                                                          | ~ ( l3_lattices @ SY541 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ( v10_lattices @ SV170 ) ) )
                                                              | ~ ! [SY542: $i] :
                                                                    ( ( v3_struct_0 @ SY542 )
                                                                    | ~ ( v10_lattices @ SY542 )
                                                                    | ~ ( l3_lattices @ SY542 )
                                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ( v15_lattices @ SV170 ) ) )
                                                        | ~ ! [SY543: $i] :
                                                              ( ( v3_struct_0 @ SY543 )
                                                              | ~ ( v10_lattices @ SY543 )
                                                              | ~ ( l3_lattices @ SY543 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ( v16_lattices @ SV170 ) ) )
                                                  | ~ ! [SY544: $i] :
                                                        ( ( v3_struct_0 @ SY544 )
                                                        | ~ ( v10_lattices @ SY544 )
                                                        | ~ ( l3_lattices @ SY544 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ( l3_lattices @ SV170 ) ) )
                                            | ~ ! [SY545: $i] :
                                                  ( ( v3_struct_0 @ SY545 )
                                                  | ~ ( v10_lattices @ SY545 )
                                                  | ~ ( l3_lattices @ SY545 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v3_struct_0 @ SY545 ) ) )
                                      | ~ ! [SY546: $i] :
                                            ( ( v3_struct_0 @ SY546 )
                                            | ~ ( v10_lattices @ SY546 )
                                            | ~ ( l3_lattices @ SY546 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ( v10_lattices @ SY546 ) ) )
                                | ~ ! [SY547: $i] :
                                      ( ( v3_struct_0 @ SY547 )
                                      | ~ ( v10_lattices @ SY547 )
                                      | ~ ( l3_lattices @ SY547 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ( v15_lattices @ SY547 ) ) )
                          | ~ ! [SY548: $i] :
                                ( ( v3_struct_0 @ SY548 )
                                | ~ ( v10_lattices @ SY548 )
                                | ~ ( l3_lattices @ SY548 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ( v16_lattices @ SY548 ) ) )
                    | ~ ! [SY549: $i] :
                          ( ( v3_struct_0 @ SY549 )
                          | ~ ( v10_lattices @ SY549 )
                          | ~ ( l3_lattices @ SY549 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ( l3_lattices @ SY549 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8036]) ).

thf(8380,plain,
    ( ( l2_lattices @ sK29_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8037]) ).

thf(8381,plain,
    ( ( v2_lattices @ sK29_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8038]) ).

thf(8382,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v15_lattices @ SX0 )
          | ~ ( v16_lattices @ SX0 )
          | ~ ( v11_lattices @ SX0 )
          | ( v17_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8039]) ).

thf(8383,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v15_lattices @ SX0 ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v16_lattices @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v11_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8040]) ).

thf(8384,plain,
    ( ( ~ ( v1_xboole_0 @ sK46_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8041]) ).

thf(8385,plain,
    ( ( v1_setfam_1 @ sK46_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8042]) ).

thf(8386,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l1_struct_0 @ SX0 )
          | ! [SX1: $i] :
              ( ( u1_struct_0 @ SX0 )
             != ( k1_tarski @ SX1 ) )
          | ( v3_realset2 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8043]) ).

thf(8387,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l1_struct_0 @ SX0 )
          | ~ ( v3_realset2 @ SX0 )
          | ( ( u1_struct_0 @ SX0 )
            = ( k1_tarski @ ( sK2_B @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8044]) ).

thf(8388,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( m1_filter_0 @ SX1 @ SX0 )
                | ~ ( v3_struct_0 @ ( k8_filter_0 @ SX0 @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( m1_filter_0 @ SX1 @ SX0 )
                | ( v10_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8045]) ).

thf(8389,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( m1_filter_0 @ SX1 @ SX0 )
          | ( l3_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8046]) ).

thf(8390,plain,
    ( ( ~ ( ~ ( l1_rlvect_1 @ sK63_A )
          | ~ ~ ( v3_struct_0 @ sK63_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8047]) ).

thf(8391,plain,
    ( ( v1_rlvect_1 @ sK63_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8048]) ).

thf(8392,plain,
    ! [SV171: $i] :
      ( ( ( ( v3_struct_0 @ SV171 )
          | ~ ( v10_lattices @ SV171 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV171 ) )
        = $true )
      | ( ( ~ ( ~ ( m2_lattice4 @ ( sK53_B @ SV171 ) @ SV171 )
              | ~ ~ ( v1_xboole_0 @ ( sK53_B @ SV171 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8049]) ).

thf(8393,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                            ( ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( v11_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
                      | ~ ! [SX0: $i] :
                            ( ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( v11_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( v11_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v11_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v11_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8050]) ).

thf(8394,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                            ( ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                            | ~ ( v3_struct_0 @ SX0 ) )
                      | ~ ! [SX0: $i] :
                            ( ( v3_struct_0 @ SX0 )
                            | ~ ( v10_lattices @ SX0 )
                            | ~ ( l3_lattices @ SX0 )
                            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                            | ( v10_lattices @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ( v11_lattices @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                | ( l3_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8051]) ).

thf(8395,plain,
    ( ( l1_struct_0 @ sK57_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8052]) ).

thf(8396,plain,
    ( ( v3_realset2 @ sK57_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8053]) ).

thf(8397,plain,
    ! [SV1: $i] :
      ( ( ( l1_pre_topc @ SV1 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV1 ) )
        = $true )
      | ( ( ! [SY395: $i] :
              ( ~ ( m1_pre_topc @ SY395 @ SV1 )
              | ( v2_pre_topc @ SY395 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8054]) ).

thf(8398,plain,
    ! [SV2: $i] :
      ( ( ( l1_pre_topc @ SV2 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV2 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV2 ) @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8055]) ).

thf(8399,plain,
    ! [SV3: $i] :
      ( ( ( l1_pre_topc @ SV3 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV3 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV3 ) @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8056]) ).

thf(8400,plain,
    ! [SV4: $i,SV222: $i] :
      ( ( ( ~ ( m1_pre_topc @ SV222 @ SV4 )
          | ( l1_pre_topc @ SV222 ) )
        = $true )
      | ( ( l1_pre_topc @ SV4 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8057]) ).

thf(8401,plain,
    ! [SV8: $i] :
      ( ( ( l1_pre_topc @ SV8 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV8 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k1_pre_topc @ SV8 ) @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8061]) ).

thf(8402,plain,
    ! [SV10: $i] :
      ( ( ( l1_pre_topc @ SV10 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV10 ) )
        = $true )
      | ( ( ( k1_tops_1 @ SV10 @ ( k2_pre_topc @ SV10 ) )
          = ( k2_pre_topc @ SV10 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8063]) ).

thf(8403,plain,
    ! [SV12: $i] :
      ( ( ( l1_pre_topc @ SV12 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV12 ) )
        = $true )
      | ( ( v3_pre_topc @ ( k1_pre_topc @ SV12 ) @ SV12 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8065]) ).

thf(8404,plain,
    ! [SV13: $i] :
      ( ( ( l1_pre_topc @ SV13 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV13 ) )
        = $true )
      | ( ( v3_pre_topc @ ( k2_pre_topc @ SV13 ) @ SV13 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8066]) ).

thf(8405,plain,
    ! [SV14: $i] :
      ( ( ( v3_struct_0 @ SV14 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV14 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV14 ) )
        = $true )
      | ( ( m1_filter_0 @ ( u1_struct_0 @ SV14 ) @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8067]) ).

thf(8406,plain,
    ! [SV15: $i] :
      ( ( ( v3_struct_0 @ SV15 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV15 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV15 ) )
        = $true )
      | ( ( ( k1_filter_0 @ SV15 )
          = ( u1_struct_0 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8068]) ).

thf(8407,plain,
    ! [SV16: $i] :
      ( ( ( v3_struct_0 @ SV16 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV16 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV16 ) )
        = $true )
      | ( ( ! [SY397: $i] :
              ( ~ ( m1_filter_0 @ SY397 @ SV16 )
              | ( ( k3_filter_0 @ SV16 @ SY397 )
                = SY397 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8069]) ).

thf(8408,plain,
    ! [SV17: $i] :
      ( ( ( ( v3_struct_0 @ SV17 )
          | ~ ( v10_lattices @ SV17 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV17 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV17 ) )
        = $true )
      | ( ( v14_lattices @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8070]) ).

thf(8409,plain,
    ! [SV18: $i] :
      ( ( ( ( v3_struct_0 @ SV18 )
          | ~ ( v10_lattices @ SV18 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV18 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV18 ) )
        = $true )
      | ( ( v11_lattices @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8071]) ).

thf(8410,plain,
    ! [SV19: $i] :
      ( ( ( ( v3_struct_0 @ SV19 )
          | ~ ( v10_lattices @ SV19 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV19 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV19 ) )
        = $true )
      | ( ( v3_filter_0 @ SV19 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8072]) ).

thf(8411,plain,
    ! [SV20: $i] :
      ( ( ( v3_struct_0 @ SV20 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV20 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV20 ) )
        = $true )
      | ( ( m1_filter_0 @ ( sK55_B @ SV20 ) @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8073]) ).

thf(8412,plain,
    ! [SV21: $i] :
      ( ( ( v3_struct_0 @ SV21 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV21 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV21 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_0 @ SV21 ) @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8074]) ).

thf(8413,plain,
    ! [SV210: $i,SV172: $i,SV22: $i] :
      ( ( ( ( v3_struct_0 @ SV22 )
          | ~ ( v10_lattices @ SV22 )
          | ~ ( v17_lattices @ SV22 )
          | ~ ( l3_lattices @ SV22 )
          | ~ ( m1_filter_0 @ SV172 @ SV22 )
          | ~ ( m1_filter_0 @ SV210 @ SV22 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8075]) ).

thf(8414,plain,
    ! [SV23: $i] :
      ( ( ( v3_struct_0 @ SV23 )
        = $true )
      | ( ( ~ ( v3_lattices @ SV23 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV23 ) )
        = $true )
      | ( ( ( k1_lattice2 @ ( k1_lattice2 @ SV23 ) )
          = SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8076]) ).

thf(8415,plain,
    ! [SV24: $i] :
      ( ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV24 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV24 ) )
        = $true )
      | ( ( ! [SY400: $i] :
              ( ( v3_struct_0 @ SY400 )
              | ~ ( v10_lattices @ SY400 )
              | ~ ( l3_lattices @ SY400 )
              | ! [SY401: $i] :
                  ( ( v3_struct_0 @ SY401 )
                  | ~ ( v10_lattices @ SY401 )
                  | ~ ( l3_lattices @ SY401 )
                  | ~ ( r1_filter_1 @ SV24 @ SY400 )
                  | ~ ( r1_filter_1 @ SY400 @ SY401 )
                  | ( r1_filter_1 @ SV24 @ SY401 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8077]) ).

thf(8416,plain,
    ! [SV25: $i] :
      ( ( ( v3_struct_0 @ SV25 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV25 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV25 ) )
        = $true )
      | ( ( ! [SY402: $i] :
              ( ( v3_struct_0 @ SY402 )
              | ~ ( v10_lattices @ SY402 )
              | ~ ( l3_lattices @ SY402 )
              | ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SY402 ) )
                = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SY402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8078]) ).

thf(8417,plain,
    ! [SV26: $i] :
      ( ( ( v3_struct_0 @ SV26 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV26 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV26 ) )
        = $true )
      | ( ( ! [SY403: $i] :
              ( ( v3_struct_0 @ SY403 )
              | ~ ( v10_lattices @ SY403 )
              | ~ ( l3_lattices @ SY403 )
              | ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SY403 ) @ ( k8_filter_1 @ SY403 @ SV26 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8079]) ).

thf(8418,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( ( v3_struct_0 @ SV27 )
          | ~ ( v10_lattices @ SV27 )
          | ~ ( l3_lattices @ SV27 )
          | ( v3_struct_0 @ SV173 )
          | ~ ( v10_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV27 @ SV173 )
          | ( r1_filter_1 @ SV173 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8080]) ).

thf(8419,plain,
    ! [SV211: $i,SV28: $i] :
      ( ( ( ( v3_struct_0 @ SV28 )
          | ~ ( v10_lattices @ SV28 )
          | ~ ( l3_lattices @ SV28 )
          | ( v3_struct_0 @ SV211 )
          | ~ ( v10_lattices @ SV211 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV211 ) )
        = $true )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8081]) ).

thf(8420,plain,
    ! [SV212: $i,SV174: $i,SV29: $i] :
      ( ( ( ( v3_struct_0 @ SV29 )
          | ~ ( v10_lattices @ SV29 )
          | ~ ( l3_lattices @ SV29 )
          | ~ ( m1_filter_0 @ SV174 @ SV29 )
          | ~ ( m1_filter_0 @ SV212 @ SV29 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SV212 ) @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8082]) ).

thf(8421,plain,
    ! [SV213: $i,SV175: $i,SV30: $i] :
      ( ( ( ( v3_struct_0 @ SV30 )
          | ~ ( v10_lattices @ SV30 )
          | ~ ( l3_lattices @ SV30 )
          | ~ ( m1_filter_0 @ SV175 @ SV30 )
          | ~ ( m1_filter_0 @ SV213 @ SV30 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV30 @ SV175 @ SV213 )
          = ( k1_filter_1 @ SV30 @ SV213 @ SV175 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8083]) ).

thf(8422,plain,
    ! [SV176: $i,SV31: $i] :
      ( ( ( ( v3_struct_0 @ SV31 )
          | ~ ( v10_lattices @ SV31 )
          | ~ ( l3_lattices @ SV31 )
          | ~ ( m1_filter_0 @ SV176 @ SV31 ) )
        = $true )
      | ( ( ! [SY411: $i] :
              ~ ( m1_filter_0 @ SY411 @ SV31 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8084]) ).

thf(8423,plain,
    ! [SV32: $i] :
      ( ( ( v3_struct_0 @ SV32 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV32 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV32 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k9_filter_1 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8085]) ).

thf(8424,plain,
    ! [SV33: $i] :
      ( ( ( v3_struct_0 @ SV33 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV33 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV33 ) )
        = $true )
      | ( ( ( k9_filter_1 @ SV33 )
          = ( a_1_0_filter_1 @ SV33 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8086]) ).

thf(8425,plain,
    ! [SV34: $i] :
      ( ( ( v3_struct_0 @ SV34 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV34 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV34 ) )
        = $true )
      | ( ( m1_borsuk_1 @ ( k15_borsuk_1 @ SV34 ) @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8087]) ).

thf(8426,plain,
    ! [SV35: $i] :
      ( ( ( v3_struct_0 @ SV35 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV35 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV35 ) )
        = $true )
      | ( ( m1_borsuk_1 @ ( sK54_B @ SV35 ) @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8088]) ).

thf(8427,plain,
    ! [SV36: $i] :
      ( ( ( v3_struct_0 @ SV36 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV36 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV36 ) )
        = $true )
      | ( ( v2_filter_0 @ ( k1_filter_0 @ SV36 ) @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8089]) ).

thf(8428,plain,
    ! [SV37: $i] :
      ( ( ( v3_struct_0 @ SV37 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV37 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV37 ) )
        = $true )
      | ( ( m2_lattice4 @ ( u1_struct_0 @ SV37 ) @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8090]) ).

thf(8429,plain,
    ! [SV38: $i] :
      ( ( ( v3_struct_0 @ SV38 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV38 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV38 ) )
        = $true )
      | ( ( ! [SY412: $i] :
              ( ~ ( m1_filter_0 @ SY412 @ SV38 )
              | ( m2_lattice4 @ SY412 @ SV38 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8091]) ).

thf(8430,plain,
    ! [SV39: $i] :
      ( ( ( ( v3_struct_0 @ SV39 )
          | ~ ( v10_lattices @ SV39 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV39 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV39 ) )
        = $true )
      | ( ( m3_lattice4 @ ( u1_struct_0 @ SV39 ) @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8092]) ).

thf(8431,plain,
    ! [SV40: $i] :
      ( ( ( ( v3_struct_0 @ SV40 )
          | ~ ( v10_lattices @ SV40 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV40 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV40 ) )
        = $true )
      | ( ( ! [SY413: $i] :
              ( ~ ( m3_lattice4 @ SY413 @ SV40 )
              | ( m2_lattice4 @ SY413 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8093]) ).

thf(8432,plain,
    ! [SV177: $i,SV41: $i] :
      ( ( ( ( v3_struct_0 @ SV41 )
          | ~ ( v10_lattices @ SV41 )
          | ~ ( l3_lattices @ SV41 )
          | ( v3_struct_0 @ SV177 )
          | ~ ( v10_lattices @ SV177 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV177 ) )
        = $true )
      | ( ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8094]) ).

thf(8433,plain,
    ! [SV42: $i] :
      ( ( ( v3_struct_0 @ SV42 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV42 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV42 ) )
        = $true )
      | ( ( m2_lattice4 @ ( sK50_B @ SV42 ) @ SV42 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8095]) ).

thf(8434,plain,
    ! [SV43: $i] :
      ( ( ( ( v3_struct_0 @ SV43 )
          | ~ ( v10_lattices @ SV43 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV43 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV43 ) )
        = $true )
      | ( ( m3_lattice4 @ ( sK49_B @ SV43 ) @ SV43 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8096]) ).

thf(8435,plain,
    ! [SV44: $i] :
      ( ( ( ( v3_struct_0 @ SV44 )
          | ~ ( v10_lattices @ SV44 )
          | ~ ( v17_lattices @ SV44 ) )
        = $true )
      | ( ( v3_realset2 @ SV44 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV44 ) )
        = $true )
      | ( ( ( k9_lopclset @ SV44 )
          = ( k8_lopclset @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8097]) ).

thf(8436,plain,
    ! [SV45: $i] :
      ( ( ( ( v3_struct_0 @ SV45 )
          | ~ ( v10_lattices @ SV45 )
          | ~ ( v17_lattices @ SV45 ) )
        = $true )
      | ( ( v3_realset2 @ SV45 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV45 ) )
        = $true )
      | ( ( ( k13_lopclset @ SV45 )
          = ( k8_lopclset @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8098]) ).

thf(8437,plain,
    ! [SV46: $i] :
      ( ( ( l1_pre_topc @ SV46 )
        = $false )
      | ( ( v3_struct_0 @ SV46 )
        = $true )
      | ( ( ( k1_lopclset @ SV46 )
          = ( a_1_0_lopclset @ SV46 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8099]) ).

thf(8438,plain,
    ! [SV47: $i] :
      ( ( ( v3_struct_0 @ SV47 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV47 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV47 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k1_lopclset @ SV47 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8100]) ).

thf(8439,plain,
    ! [SV48: $i] :
      ( ( ( v3_struct_0 @ SV48 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV48 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV48 ) )
        = $true )
      | ( ( ( u1_struct_0 @ ( k6_lopclset @ SV48 ) )
          = ( k1_lopclset @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8101]) ).

thf(8440,plain,
    ! [SV49: $i] :
      ( ( ( v3_struct_0 @ SV49 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV49 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV49 ) )
        = $true )
      | ( ( v17_lattices @ ( k6_lopclset @ SV49 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8102]) ).

thf(8441,plain,
    ! [SV50: $i] :
      ( ( ( ( v3_struct_0 @ SV50 )
          | ~ ( v10_lattices @ SV50 )
          | ~ ( v17_lattices @ SV50 ) )
        = $true )
      | ( ( v3_realset2 @ SV50 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV50 ) )
        = $true )
      | ( ( ( k7_lopclset @ SV50 )
          = ( a_1_1_lopclset @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8103]) ).

thf(8442,plain,
    ! [SV51: $i] :
      ( ( ( ( v3_struct_0 @ SV51 )
          | ~ ( v10_lattices @ SV51 )
          | ~ ( v17_lattices @ SV51 ) )
        = $true )
      | ( ( v3_realset2 @ SV51 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV51 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV51 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8104]) ).

thf(8443,plain,
    ! [SV52: $i] :
      ( ( ( ( v3_struct_0 @ SV52 )
          | ~ ( v10_lattices @ SV52 )
          | ~ ( v17_lattices @ SV52 ) )
        = $true )
      | ( ( v3_realset2 @ SV52 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV52 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k10_lopclset @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8105]) ).

thf(8444,plain,
    ! [SV53: $i] :
      ( ( ( ( v3_struct_0 @ SV53 )
          | ~ ( v10_lattices @ SV53 )
          | ~ ( v17_lattices @ SV53 ) )
        = $true )
      | ( ( v3_realset2 @ SV53 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV53 ) )
        = $true )
      | ( ( ( k12_lopclset @ SV53 )
          = ( k6_lopclset @ ( k11_lopclset @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8106]) ).

thf(8445,plain,
    ! [SV54: $i] :
      ( ( ( ( v3_struct_0 @ SV54 )
          | ~ ( v10_lattices @ SV54 )
          | ~ ( v17_lattices @ SV54 ) )
        = $true )
      | ( ( v3_realset2 @ SV54 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV54 ) )
        = $true )
      | ( ( v2_funct_1 @ ( k9_lopclset @ SV54 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8107]) ).

thf(8446,plain,
    ! [SV55: $i] :
      ( ( ( ( v3_struct_0 @ SV55 )
          | ~ ( v10_lattices @ SV55 )
          | ~ ( v17_lattices @ SV55 ) )
        = $true )
      | ( ( v3_realset2 @ SV55 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV55 ) )
        = $true )
      | ( ( r1_filter_1 @ SV55 @ ( k12_lopclset @ SV55 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8108]) ).

thf(8447,plain,
    ! [SV214: $i,SV56: $i] :
      ( ( ( v1_xboole_0 @ ( k2_xboole_0 @ SV56 @ SV214 ) )
        = $false )
      | ( ( v1_xboole_0 @ SV56 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8109]) ).

thf(8448,plain,
    ! [SV57: $i,SV215: $i] :
      ( ( ( v1_xboole_0 @ ( k2_xboole_0 @ SV215 @ SV57 ) )
        = $false )
      | ( ( v1_xboole_0 @ SV57 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8110]) ).

thf(8449,plain,
    ! [SV178: $i,SV59: $i] :
      ( ( ( r2_hidden @ SV59 @ SV178 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ SV178 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8112]) ).

thf(8450,plain,
    ! [SV179: $i,SV60: $i] :
      ( ( ( SV60 = SV179 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV60 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV179 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8113]) ).

thf(8451,plain,
    ! [SV182: $i,SV65: $i] :
      ( ( ( v1_xboole_0 @ SV65 )
        = $true )
      | ( ( v1_xboole_0 @ SV182 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV65 @ SV182 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8116]) ).

thf(8452,plain,
    ! [SV216: $i,SV183: $i,SV66: $i] :
      ( ( ( ( v1_xboole_0 @ SV66 )
          | ( v1_xboole_0 @ SV183 )
          | ( v1_xboole_0 @ SV216 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV66 @ SV183 @ SV216 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8117]) ).

thf(8453,plain,
    ! [SV223: $i,SV217: $i,SV184: $i,SV67: $i] :
      ( ( ( v1_xboole_0 @ SV67 )
        | ( v1_xboole_0 @ SV184 )
        | ( v1_xboole_0 @ SV217 )
        | ( v1_xboole_0 @ SV223 )
        | ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV67 @ SV184 @ SV217 @ SV223 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8118]) ).

thf(8454,plain,
    ! [SV185: $i,SV68: $i] :
      ( ( ( v1_xboole_0 @ SV68 )
        = $true )
      | ( ( v1_xboole_0 @ SV185 )
        = $true )
      | ( ( ~ ( r1_subset_1 @ SV68 @ SV185 )
          | ( r1_subset_1 @ SV185 @ SV68 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8119]) ).

thf(8455,plain,
    ! [SV69: $i,SV224: $i] :
      ( ( ( v1_xboole_0 @ SV224 )
        = $true )
      | ( ( v1_xboole_0 @ SV69 )
        = $true )
      | ( ( ~ ( r1_subset_1 @ SV69 @ SV69 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[8120]) ).

thf(8456,plain,
    ! [SV186: $i,SV70: $i] :
      ( ( ( v1_xboole_0 @ SV70 )
        = $true )
      | ( ( v1_xboole_0 @ SV186 )
        = $true )
      | ( ( ~ ( r2_subset_1 @ SV70 @ SV186 )
          | ( r2_subset_1 @ SV186 @ SV70 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8121]) ).

thf(8457,plain,
    ! [SV71: $i,SV225: $i] :
      ( ( ( v1_xboole_0 @ SV225 )
        = $true )
      | ( ( v1_xboole_0 @ SV71 )
        = $true )
      | ( ( ~ ( r2_subset_1 @ SV71 @ SV71 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[8122]) ).

thf(8458,plain,
    ! [SV187: $i,SV73: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV73 ) )
        = $true )
      | ( ( ~ ( v1_relat_1 @ SV187 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k3_xboole_0 @ SV73 @ SV187 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8124]) ).

thf(8459,plain,
    ! [SV188: $i,SV74: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV74 ) )
        = $true )
      | ( ( ~ ( v1_relat_1 @ SV188 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k2_xboole_0 @ SV74 @ SV188 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8125]) ).

thf(8460,plain,
    ! [SV189: $i,SV75: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV75 ) )
        = $true )
      | ( ( ~ ( v1_relat_1 @ SV189 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k4_xboole_0 @ SV75 @ SV189 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8126]) ).

thf(8461,plain,
    ! [SV77: $i] :
      ( ( ( v1_relat_1 @ SV77 )
        = $false )
      | ( ( v1_xboole_0 @ SV77 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k1_relat_1 @ SV77 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8128]) ).

thf(8462,plain,
    ! [SV78: $i] :
      ( ( ( v1_relat_1 @ SV78 )
        = $false )
      | ( ( v1_xboole_0 @ SV78 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k2_relat_1 @ SV78 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8129]) ).

thf(8463,plain,
    ! [SV79: $i,SV190: $i] :
      ( ( ( v1_relat_1 @ SV190 )
        = $false )
      | ( ( ~ ( r1_tarski @ SV79 @ SV190 )
          | ( v1_relat_1 @ SV79 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8130]) ).

thf(8464,plain,
    ! [SV81: $i,SV192: $i] :
      ( ( ( v1_relat_1 @ SV192 )
        = $false )
      | ( ( v1_relat_1 @ ( k3_xboole_0 @ SV81 @ SV192 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8131]) ).

thf(8465,plain,
    ! [SV82: $i,SV193: $i] :
      ( ( ( v1_relat_1 @ SV193 )
        = $false )
      | ( ( v1_relat_1 @ ( k4_xboole_0 @ SV193 @ SV82 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8132]) ).

thf(8466,plain,
    ! [SV83: $i,SV226: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV226 )
          | ! [SY561: $i] :
              ( ~ ( v1_relat_1 @ SY561 )
              | ( ( k5_relat_1 @ ( k5_relat_1 @ SV83 @ SV226 ) @ SY561 )
                = ( k5_relat_1 @ SV83 @ ( k5_relat_1 @ SV226 @ SY561 ) ) ) ) )
        = $true )
      | ( ( v1_relat_1 @ SV83 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8133]) ).

thf(8467,plain,
    ! [SV84: $i,SV194: $i] :
      ( ( ( v1_relat_1 @ SV194 )
        = $false )
      | ( ( ( k7_relat_1 @ ( k7_relat_1 @ SV194 @ SV84 ) @ SV84 )
          = ( k7_relat_1 @ SV194 @ SV84 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8134]) ).

thf(8468,plain,
    ! [SV85: $i,SV195: $i] :
      ( ( ( v1_relat_1 @ SV195 )
        = $false )
      | ( ( ( k8_relat_1 @ SV85 @ ( k8_relat_1 @ SV85 @ SV195 ) )
          = ( k8_relat_1 @ SV85 @ SV195 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8135]) ).

thf(8469,plain,
    ! [SV196: $i,SV88: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV88 ) )
        = $true )
      | ( ( ~ ( v1_relat_1 @ SV196 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV88 @ SV196 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8138]) ).

thf(8470,plain,
    ! [SV227: $i,SV90: $i] :
      ( ( ( v1_relat_1 @ ( k7_relat_1 @ SV90 @ SV227 ) )
        = $true )
      | ( ( v1_relat_1 @ SV90 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8139]) ).

thf(8471,plain,
    ! [SV91: $i,SV197: $i] :
      ( ( ( v1_relat_1 @ SV197 )
        = $false )
      | ( ( v1_relat_1 @ ( k8_relat_1 @ SV91 @ SV197 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8140]) ).

thf(8472,plain,
    ! [SV199: $i,SV96: $i] :
      ( ( ( v1_xboole_0 @ ( k1_funct_2 @ SV96 @ SV199 ) )
        = $false )
      | ( ( v1_xboole_0 @ SV199 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8143]) ).

thf(8473,plain,
    ! [SV101: $i,SV218: $i] :
      ( ( ( ~ ( m1_eqrel_1 @ SV218 @ SV101 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV218 ) )
        = $true )
      | ( ( v1_xboole_0 @ SV101 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8146]) ).

thf(8474,plain,
    ! [SV228: $i,SV102: $i] :
      ( ( ( v1_relat_1 @ ( k1_realset1 @ SV102 @ SV228 ) )
        = $true )
      | ( ( v1_relat_1 @ SV102 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8147]) ).

thf(8475,plain,
    ! [SV200: $i,SV104: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV104 ) )
        = $true )
      | ( ( ~ ( v1_relat_1 @ SV200 ) )
        = $true )
      | ( ( ~ ( r1_rfinseq @ SV104 @ SV200 )
          | ( r1_rfinseq @ SV200 @ SV104 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8149]) ).

thf(8476,plain,
    ! [SV105: $i] :
      ( ( ( v1_relat_1 @ SV105 )
        = $false )
      | ( ( ! [B: $i] :
              ~ ( v1_relat_1 @ B ) )
        = $true )
      | ( ( r1_rfinseq @ SV105 @ SV105 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8150]) ).

thf(8477,plain,
    ! [SV106: $i] :
      ( ( ( l1_struct_0 @ SV106 )
        = $false )
      | ( ( v3_struct_0 @ SV106 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV106 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8151]) ).

thf(8478,plain,
    ! [SV110: $i] :
      ( ( ( l1_struct_0 @ SV110 )
        = $false )
      | ( ( v3_struct_0 @ SV110 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k2_pre_topc @ SV110 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8155]) ).

thf(8479,plain,
    ! [SV120: $i,SV229: $i] :
      ( ( ( ~ ( l4_vectsp_1 @ SV229 @ SV120 )
          | ( l1_rlvect_1 @ SV229 ) )
        = $true )
      | ( ( l1_struct_0 @ SV120 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8165]) ).

thf(8480,plain,
    ! [SV122: $i] :
      ( ( ( ( v3_struct_0 @ SV122 )
          | ~ ( v10_lattices @ SV122 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV122 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV122 ) )
        = $true )
      | ( ( ! [SY452: $i] :
              ( ~ ( m1_filter_0 @ SY452 @ SV122 )
              | ! [SY453: $i] :
                  ( ~ ( m1_filter_0 @ SY453 @ SV122 )
                  | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SY452 @ SY453 ) )
                    = ( k7_filter_0 @ SV122 @ SY452 @ SY453 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8167]) ).

thf(8481,plain,
    ! [SV123: $i] :
      ( ( ( ( v3_struct_0 @ SV123 )
          | ~ ( v3_lattices @ SV123 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV123 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV123 ) )
        = $true )
      | ( ( ( k8_filter_0 @ SV123 @ ( k1_filter_0 @ SV123 ) )
          = SV123 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8168]) ).

thf(8482,plain,
    ! [SV124: $i] :
      ( ( ( v3_struct_0 @ SV124 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV124 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV124 ) )
        = $true )
      | ( ( ! [SY454: $i] :
              ( ~ ( m1_filter_0 @ SY454 @ SV124 )
              | ~ ( v14_lattices @ SV124 )
              | ( v14_lattices @ ( k8_filter_0 @ SV124 @ SY454 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8169]) ).

thf(8483,plain,
    ! [SV125: $i] :
      ( ( ( v3_struct_0 @ SV125 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV125 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV125 ) )
        = $true )
      | ( ( ! [SY455: $i] :
              ( ~ ( m1_filter_0 @ SY455 @ SV125 )
              | ~ ( v12_lattices @ SV125 )
              | ( v12_lattices @ ( k8_filter_0 @ SV125 @ SY455 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8170]) ).

thf(8484,plain,
    ! [SV126: $i] :
      ( ( ( v3_struct_0 @ SV126 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV126 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV126 ) )
        = $true )
      | ( ( ! [SY456: $i] :
              ( ~ ( m1_filter_0 @ SY456 @ SV126 )
              | ~ ( v11_lattices @ SV126 )
              | ( v11_lattices @ ( k8_filter_0 @ SV126 @ SY456 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8171]) ).

thf(8485,plain,
    ! [SV127: $i] :
      ( ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV127 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV127 ) )
        = $true )
      | ( ( ! [SY457: $i] :
              ( ~ ( m1_filter_0 @ SY457 @ SV127 )
              | ( v3_struct_0 @ SV127 )
              | ~ ( v10_lattices @ SV127 )
              | ~ ( v3_filter_0 @ SV127 )
              | ~ ( l3_lattices @ SV127 )
              | ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SY457 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8172]) ).

thf(8486,plain,
    ! [SV219: $i,SV201: $i,SV128: $i] :
      ( ( ( ( v3_struct_0 @ SV128 )
          | ~ ( v10_lattices @ SV128 )
          | ~ ( v11_lattices @ SV128 )
          | ~ ( l3_lattices @ SV128 )
          | ~ ( m1_filter_0 @ SV201 @ SV128 )
          | ~ ( m1_filter_0 @ SV219 @ SV128 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8173]) ).

thf(8487,plain,
    ! [SV220: $i,SV202: $i,SV129: $i] :
      ( ( ( ( v3_struct_0 @ SV129 )
          | ~ ( v10_lattices @ SV129 )
          | ~ ( v17_lattices @ SV129 )
          | ~ ( l3_lattices @ SV129 )
          | ~ ( m1_filter_0 @ SV202 @ SV129 )
          | ~ ( m1_filter_0 @ SV220 @ SV129 ) )
        = $true )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8174]) ).

thf(8488,plain,
    ! [SV203: $i,SV130: $i] :
      ( ( ( ( v3_struct_0 @ SV130 )
          | ~ ( v10_lattices @ SV130 )
          | ~ ( l3_lattices @ SV130 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV203 @ SV130 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k10_filter_0 @ SV130 @ SV203 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8175]) ).

thf(8489,plain,
    ! [SV131: $i] :
      ( ( ( v3_struct_0 @ SV131 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV131 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV131 ) )
        = $true )
      | ( ( ! [SY463: $i] :
              ( ~ ( m1_filter_0 @ SY463 @ SV131 )
              | ! [SY464: $i] :
                  ( ~ ( m1_filter_0 @ SY464 @ SV131 )
                  | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SY463 @ SY464 ) @ SV131 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8176]) ).

thf(8490,plain,
    ! [SV132: $i] :
      ( ( ( ( v3_struct_0 @ SV132 )
          | ~ ( v10_lattices @ SV132 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV132 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV132 ) )
        = $true )
      | ( ( ! [SY465: $i] :
              ( ~ ( m1_filter_0 @ SY465 @ SV132 )
              | ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SY465 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8177]) ).

thf(8491,plain,
    ! [SV204: $i,SV133: $i] :
      ( ( ( v1_xboole_0 @ SV133 )
        = $true )
      | ( ( ~ ( v1_relat_1 @ SV204 ) )
        = $true )
      | ( ( m1_filter_1 @ ( sK10_C @ SV204 @ SV133 ) @ SV133 @ SV204 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8178]) ).

thf(8492,plain,
    ! [SV205: $i,SV134: $i] :
      ( ( ( v1_xboole_0 @ SV134 )
        = $true )
      | ( ( ~ ( v1_relat_1 @ SV205 ) )
        = $true )
      | ( ( m2_filter_1 @ ( sK9_C @ SV205 @ SV134 ) @ SV134 @ SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8179]) ).

thf(8493,plain,
    ! [SV221: $i,SV206: $i,SV135: $i] :
      ( ( ( ( v3_struct_0 @ SV135 )
          | ~ ( v10_lattices @ SV135 )
          | ~ ( l3_lattices @ SV135 )
          | ~ ( m1_filter_0 @ SV206 @ SV135 )
          | ~ ( m1_filter_0 @ SV221 @ SV135 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV135 @ SV206 @ SV221 )
          = ( k3_xboole_0 @ SV206 @ SV221 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8180]) ).

thf(8494,plain,
    ! [SV136: $i,SV230: $i] :
      ( ( ( ~ ( m1_pre_topc @ SV230 @ SV136 )
          | ( r1_tarski @ ( u1_struct_0 @ SV230 ) @ ( u1_struct_0 @ SV136 ) ) )
        = $true )
      | ( ( l1_pre_topc @ SV136 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8181]) ).

thf(8495,plain,
    ! [SV207: $i,SV138: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV138 )
          | ( v3_struct_0 @ SV207 ) )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV207 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k17_grcat_1 @ SV138 @ SV207 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8183]) ).

thf(8496,plain,
    ! [SV208: $i,SV139: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV139 ) )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV208 ) )
        = $true )
      | ( ( m5_grcat_1 @ ( sK3_C @ SV208 @ SV139 ) @ SV139 @ SV208 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8184]) ).

thf(8497,plain,
    ! [SV140: $i] :
      ( ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV140 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV140 ) )
        = $true )
      | ( ( ! [SY473: $i] :
              ( ( v3_struct_0 @ SY473 )
              | ~ ( v10_lattices @ SY473 )
              | ~ ( v11_lattices @ SY473 )
              | ~ ( l3_lattices @ SY473 )
              | ! [SY474: $i] :
                  ( ~ ( m1_lattice4 @ SY474 @ SY473 @ SV140 )
                  | ~ ( v2_lattice4 @ SY474 @ SY473 @ SV140 )
                  | ( v11_lattices @ SV140 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8185]) ).

thf(8498,plain,
    ! [SV141: $i] :
      ( ( ( ( v3_struct_0 @ SV141 )
          | ~ ( v10_lattices @ SV141 )
          | ~ ( v17_lattices @ SV141 ) )
        = $true )
      | ( ( v3_realset2 @ SV141 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV141 ) )
        = $true )
      | ( ( m1_lattice4 @ ( k13_lopclset @ SV141 ) @ SV141 @ ( k12_lopclset @ SV141 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8186]) ).

thf(8499,plain,
    ! [SV142: $i] :
      ( ( ( v3_struct_0 @ SV142 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV142 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV142 ) )
        = $true )
      | ( ( m1_subset_1 @ ( k2_pre_topc @ SV142 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8187]) ).

thf(8500,plain,
    ! [SV143: $i] :
      ( ( ( v3_struct_0 @ SV143 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV143 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV143 ) )
        = $true )
      | ( ( m1_subset_1 @ ( k1_pre_topc @ SV143 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV143 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8188]) ).

thf(8501,plain,
    ! [SV144: $i] :
      ( ( ( ( v3_struct_0 @ SV144 )
          | ~ ( v10_lattices @ SV144 )
          | ~ ( v17_lattices @ SV144 ) )
        = $true )
      | ( ( v3_realset2 @ SV144 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV144 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV144 )
          = ( k2_relat_1 @ ( k9_lopclset @ SV144 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8189]) ).

thf(8502,plain,
    ! [SV145: $i] :
      ( ( ( ( v3_struct_0 @ SV145 )
          | ~ ( v10_lattices @ SV145 )
          | ~ ( v17_lattices @ SV145 ) )
        = $true )
      | ( ( v3_realset2 @ SV145 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV145 ) )
        = $true )
      | ( ( ( k3_tarski @ ( k10_lopclset @ SV145 ) )
          = ( k7_lopclset @ SV145 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8190]) ).

thf(8503,plain,
    ! [SV146: $i] :
      ( ( ( ( v3_struct_0 @ SV146 )
          | ~ ( v10_lattices @ SV146 )
          | ~ ( v17_lattices @ SV146 ) )
        = $true )
      | ( ( v3_realset2 @ SV146 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV146 ) )
        = $true )
      | ( ( r1_tarski @ ( k10_lopclset @ SV146 ) @ ( k1_lopclset @ ( k11_lopclset @ SV146 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8191]) ).

thf(8504,plain,
    ! [SV147: $i] :
      ( ( ( ( v3_struct_0 @ SV147 )
          | ~ ( v10_lattices @ SV147 )
          | ~ ( v17_lattices @ SV147 ) )
        = $true )
      | ( ( v3_realset2 @ SV147 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV147 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV147 )
          = ( k1_lopclset @ ( k11_lopclset @ SV147 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8192]) ).

thf(8505,plain,
    ! [SV148: $i] :
      ( ( ( ( v3_struct_0 @ SV148 )
          | ~ ( v10_lattices @ SV148 )
          | ~ ( v17_lattices @ SV148 ) )
        = $true )
      | ( ( v3_realset2 @ SV148 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV148 ) )
        = $true )
      | ( ( ( k2_relat_1 @ ( k13_lopclset @ SV148 ) )
          = ( u1_struct_0 @ ( k12_lopclset @ SV148 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8193]) ).

thf(8506,plain,
    ! [SV149: $i] :
      ( ( ( ( v3_struct_0 @ SV149 )
          | ~ ( v10_lattices @ SV149 )
          | ~ ( v17_lattices @ SV149 ) )
        = $true )
      | ( ( v3_realset2 @ SV149 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV149 ) )
        = $true )
      | ( ( v3_lattice4 @ ( k13_lopclset @ SV149 ) @ SV149 @ ( k12_lopclset @ SV149 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8194]) ).

thf(8507,plain,
    ! [SV150: $i] :
      ( ( ( v3_struct_0 @ SV150 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV150 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV150 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8195]) ).

thf(8508,plain,
    ( ( v1_xboole_0 @ sK44_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8196]) ).

thf(8509,plain,
    ! [SV151: $i] :
      ( ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV151 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV151 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY475: $i] :
                    ( ( v3_struct_0 @ SY475 )
                    | ~ ( v10_lattices @ SY475 )
                    | ~ ( l3_lattices @ SY475 )
                    | ~ ( v12_lattices @ SV151 )
                    | ~ ( v12_lattices @ SY475 )
                    | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY475 ) ) )
              | ~ ~ ( ~ ! [SY476: $i] :
                          ( ( v3_struct_0 @ SY476 )
                          | ~ ( v10_lattices @ SY476 )
                          | ~ ( l3_lattices @ SY476 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                          | ( v12_lattices @ SV151 ) )
                    | ~ ! [SY477: $i] :
                          ( ( v3_struct_0 @ SY477 )
                          | ~ ( v10_lattices @ SY477 )
                          | ~ ( l3_lattices @ SY477 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                          | ( v12_lattices @ SY477 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8198]) ).

thf(8510,plain,
    ! [SV152: $i] :
      ( ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV152 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV152 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY478: $i] :
                    ( ( v3_struct_0 @ SY478 )
                    | ~ ( v10_lattices @ SY478 )
                    | ~ ( l3_lattices @ SY478 )
                    | ~ ( r1_filter_1 @ SV152 @ SY478 )
                    | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY478 ) ) )
              | ~ ! [SY479: $i] :
                    ( ( v3_struct_0 @ SY479 )
                    | ~ ( v10_lattices @ SY479 )
                    | ~ ( l3_lattices @ SY479 )
                    | ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY479 ) )
                    | ( r1_filter_1 @ SV152 @ SY479 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8199]) ).

thf(8511,plain,
    ( ( v1_xboole_0 @ sK35_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8200]) ).

thf(8512,plain,
    ( ( v1_realset1 @ sK35_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8201]) ).

thf(8513,plain,
    ! [SV153: $i] :
      ( ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV153 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV153 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY480: $i] :
                    ( ~ ( m1_borsuk_1 @ SY480 @ SV153 )
                    | ~ ( v1_xboole_0 @ SY480 ) )
              | ~ ! [SY481: $i] :
                    ( ~ ( m1_borsuk_1 @ SY481 @ SV153 )
                    | ( m1_eqrel_1 @ SY481 @ ( u1_struct_0 @ SV153 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8202]) ).

thf(8514,plain,
    ( ( ~ ( v1_relat_1 @ sK41_A )
      | ~ ( v1_xboole_0 @ sK41_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8205]) ).

thf(8515,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8207]) ).

thf(8516,plain,
    ! [SV231: $i] :
      ( ( ( v3_struct_0 @ SV231 )
        | ~ ( v10_lattices @ SV231 )
        | ~ ( v17_lattices @ SV231 )
        | ( v3_realset2 @ SV231 )
        | ~ ( l3_lattices @ SV231 )
        | ( l3_lattices @ ( k12_lopclset @ SV231 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8208]) ).

thf(8517,plain,
    ! [SV232: $i] :
      ( ( ~ ( l3_vectsp_1 @ SV232 )
        | ( l1_rlvect_1 @ SV232 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8215]) ).

thf(8518,plain,
    ! [SV233: $i] :
      ( ( ~ ( l3_vectsp_1 @ SV233 )
        | ( l2_vectsp_1 @ SV233 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8216]) ).

thf(8519,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8217]) ).

thf(8520,plain,
    ! [SV234: $i] :
      ( ( ! [SY562: $i] :
            ( ( v3_struct_0 @ SV234 )
            | ~ ( v2_pre_topc @ SV234 )
            | ~ ( l1_pre_topc @ SV234 )
            | ( v3_struct_0 @ SY562 )
            | ~ ( v2_pre_topc @ SY562 )
            | ~ ( l1_pre_topc @ SY562 )
            | ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SY562 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8218]) ).

thf(8521,plain,
    ! [SV154: $i] :
      ( ( ( ~ ( m1_pre_topc @ ( sK69_B @ SV154 ) @ SV154 )
          | ~ ( v1_pre_topc @ ( sK69_B @ SV154 ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV154 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8219]) ).

thf(8522,plain,
    ( ( ~ ( l1_rlvect_1 @ sK58_A )
      | ~ ~ ( v3_struct_0 @ sK58_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8220]) ).

thf(8523,plain,
    ( ( ~ ~ ( ~ ( l1_pre_topc @ sK70_A )
            | ~ ~ ( v3_struct_0 @ sK70_A ) )
      | ~ ( v1_pre_topc @ sK70_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8222]) ).

thf(8524,plain,
    ! [SV235: $i] :
      ( ( ! [SY563: $i] :
            ( ~ ( v1_relat_1 @ SY563 )
            | ~ ( v1_xboole_0 @ SV235 )
            | ( v1_relat_1 @ ( k5_relat_1 @ SY563 @ SV235 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8224]) ).

thf(8525,plain,
    ! [SV236: $i] :
      ( ( ! [SY564: $i] :
            ( ~ ( v1_relat_1 @ SY564 )
            | ~ ( v1_xboole_0 @ SV236 )
            | ( v1_xboole_0 @ ( k5_relat_1 @ SY564 @ SV236 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8225]) ).

thf(8526,plain,
    ! [SV155: $i] :
      ( ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV155 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 )
                    | ~ ( v1_pre_topc @ ( sK67_B @ SV155 ) ) )
              | ~ ( v2_pre_topc @ ( sK67_B @ SV155 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8226]) ).

thf(8527,plain,
    ! [SV237: $i] :
      ( ( ( SV237 != k1_xboole_0 )
        | ( v1_xboole_0 @ SV237 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8227]) ).

thf(8528,plain,
    ! [SV238: $i] :
      ( ( ~ ( v1_xboole_0 @ SV238 )
        | ( SV238 = k1_xboole_0 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8228]) ).

thf(8529,plain,
    ( ( ~ ( l1_vectsp_1 @ sK61_A )
      | ~ ~ ( v3_struct_0 @ sK61_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8229]) ).

thf(8530,plain,
    ! [SV239: $i] :
      ( ( ( v3_struct_0 @ SV239 )
        | ~ ( l1_struct_0 @ SV239 )
        | ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ SV239 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8231]) ).

thf(8531,plain,
    ! [SV240: $i] :
      ( ( ( v3_struct_0 @ SV240 )
        | ~ ( l1_struct_0 @ SV240 )
        | ( v1_setfam_1 @ ( k15_borsuk_1 @ SV240 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8232]) ).

thf(8532,plain,
    ! [SV156: $i] :
      ( ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV156 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV156 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY482: $i] :
                    ( ( v3_struct_0 @ SY482 )
                    | ~ ( v10_lattices @ SY482 )
                    | ~ ( l3_lattices @ SY482 )
                    | ! [SY483: $i] :
                        ( ~ ( m1_lattice4 @ SY483 @ SV156 @ SY482 )
                        | ~ ( v3_lattice4 @ SY483 @ SV156 @ SY482 ) )
                    | ( r1_filter_1 @ SV156 @ SY482 ) )
              | ~ ! [SY484: $i] :
                    ( ( v3_struct_0 @ SY484 )
                    | ~ ( v10_lattices @ SY484 )
                    | ~ ( l3_lattices @ SY484 )
                    | ~ ( r1_filter_1 @ SV156 @ SY484 )
                    | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 )
                        | ~ ( v3_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8233]) ).

thf(8533,plain,
    ( ( ~ ( v1_funct_1 @ sK40_A )
      | ~ ( v1_relat_1 @ sK40_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8234]) ).

thf(8534,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ~ ( v3_struct_0 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ( v13_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8236]) ).

thf(8535,plain,
    ! [SV241: $i] :
      ( ( ~ ( l3_lattices @ SV241 )
        | ( v3_struct_0 @ SV241 )
        | ~ ( v15_lattices @ SV241 )
        | ( v14_lattices @ SV241 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8237]) ).

thf(8536,plain,
    ! [SV157: $i] :
      ( ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                                      ( ( v3_struct_0 @ SY485 )
                                      | ~ ( v10_lattices @ SY485 )
                                      | ~ ( l3_lattices @ SY485 )
                                      | ( v3_struct_0 @ SV157 )
                                      | ~ ( v10_lattices @ SV157 )
                                      | ~ ( v17_lattices @ SV157 )
                                      | ~ ( l3_lattices @ SV157 )
                                      | ( v3_struct_0 @ SY485 )
                                      | ~ ( v10_lattices @ SY485 )
                                      | ~ ( v17_lattices @ SY485 )
                                      | ~ ( l3_lattices @ SY485 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                                | ~ ! [SY486: $i] :
                                      ( ( v3_struct_0 @ SY486 )
                                      | ~ ( v10_lattices @ SY486 )
                                      | ~ ( l3_lattices @ SY486 )
                                      | ( v3_struct_0 @ SV157 )
                                      | ~ ( v10_lattices @ SV157 )
                                      | ~ ( v17_lattices @ SV157 )
                                      | ~ ( l3_lattices @ SV157 )
                                      | ( v3_struct_0 @ SY486 )
                                      | ~ ( v10_lattices @ SY486 )
                                      | ~ ( v17_lattices @ SY486 )
                                      | ~ ( l3_lattices @ SY486 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                          | ~ ! [SY487: $i] :
                                ( ( v3_struct_0 @ SY487 )
                                | ~ ( v10_lattices @ SY487 )
                                | ~ ( l3_lattices @ SY487 )
                                | ( v3_struct_0 @ SV157 )
                                | ~ ( v10_lattices @ SV157 )
                                | ~ ( v17_lattices @ SV157 )
                                | ~ ( l3_lattices @ SV157 )
                                | ( v3_struct_0 @ SY487 )
                                | ~ ( v10_lattices @ SY487 )
                                | ~ ( v17_lattices @ SY487 )
                                | ~ ( l3_lattices @ SY487 )
                                | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
                    | ~ ! [SY488: $i] :
                          ( ( v3_struct_0 @ SY488 )
                          | ~ ( v10_lattices @ SY488 )
                          | ~ ( l3_lattices @ SY488 )
                          | ( v3_struct_0 @ SV157 )
                          | ~ ( v10_lattices @ SV157 )
                          | ~ ( v17_lattices @ SV157 )
                          | ~ ( l3_lattices @ SV157 )
                          | ( v3_struct_0 @ SY488 )
                          | ~ ( v10_lattices @ SY488 )
                          | ~ ( v17_lattices @ SY488 )
                          | ~ ( l3_lattices @ SY488 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                              ( ( v3_struct_0 @ SY489 )
                                                              | ~ ( v10_lattices @ SY489 )
                                                              | ~ ( l3_lattices @ SY489 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v3_struct_0 @ SV157 ) )
                                                        | ~ ! [SY490: $i] :
                                                              ( ( v3_struct_0 @ SY490 )
                                                              | ~ ( v10_lattices @ SY490 )
                                                              | ~ ( l3_lattices @ SY490 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ( v10_lattices @ SV157 ) ) )
                                                  | ~ ! [SY491: $i] :
                                                        ( ( v3_struct_0 @ SY491 )
                                                        | ~ ( v10_lattices @ SY491 )
                                                        | ~ ( l3_lattices @ SY491 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ( v17_lattices @ SV157 ) ) )
                                            | ~ ! [SY492: $i] :
                                                  ( ( v3_struct_0 @ SY492 )
                                                  | ~ ( v10_lattices @ SY492 )
                                                  | ~ ( l3_lattices @ SY492 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ( l3_lattices @ SV157 ) ) )
                                      | ~ ! [SY493: $i] :
                                            ( ( v3_struct_0 @ SY493 )
                                            | ~ ( v10_lattices @ SY493 )
                                            | ~ ( l3_lattices @ SY493 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v3_struct_0 @ SY493 ) ) )
                                | ~ ! [SY494: $i] :
                                      ( ( v3_struct_0 @ SY494 )
                                      | ~ ( v10_lattices @ SY494 )
                                      | ~ ( l3_lattices @ SY494 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ( v10_lattices @ SY494 ) ) )
                          | ~ ! [SY495: $i] :
                                ( ( v3_struct_0 @ SY495 )
                                | ~ ( v10_lattices @ SY495 )
                                | ~ ( l3_lattices @ SY495 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ( v17_lattices @ SY495 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ( v3_struct_0 @ SY496 )
                          | ~ ( v10_lattices @ SY496 )
                          | ~ ( l3_lattices @ SY496 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ( l3_lattices @ SY496 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8238]) ).

thf(8537,plain,
    ! [SV158: $i] :
      ( ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV158 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV158 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY497: $i] :
                    ( ( v3_struct_0 @ SY497 )
                    | ~ ( v10_lattices @ SY497 )
                    | ~ ( l3_lattices @ SY497 )
                    | ~ ( v3_filter_0 @ SV158 )
                    | ~ ( v3_filter_0 @ SY497 )
                    | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY497 ) ) )
              | ~ ~ ( ~ ! [SY498: $i] :
                          ( ( v3_struct_0 @ SY498 )
                          | ~ ( v10_lattices @ SY498 )
                          | ~ ( l3_lattices @ SY498 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                          | ( v3_filter_0 @ SV158 ) )
                    | ~ ! [SY499: $i] :
                          ( ( v3_struct_0 @ SY499 )
                          | ~ ( v10_lattices @ SY499 )
                          | ~ ( l3_lattices @ SY499 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                          | ( v3_filter_0 @ SY499 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8239]) ).

thf(8538,plain,
    ( ( v3_struct_0 @ sK64_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8243]) ).

thf(8539,plain,
    ! [SV242: $i] :
      ( ( ~ ( v1_xboole_0 @ SV242 )
        | ( v1_relat_1 @ ( k1_relat_1 @ SV242 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8244]) ).

thf(8540,plain,
    ! [SV243: $i] :
      ( ( ~ ( v1_xboole_0 @ SV243 )
        | ( v1_xboole_0 @ ( k1_relat_1 @ SV243 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8245]) ).

thf(8541,plain,
    ! [SV209: $i,SV159: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV159 )
          | ( v3_struct_0 @ SV209 ) )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV209 ) )
        = $true )
      | ( ( ~ ( ~ ( m5_grcat_1 @ ( sK4_C @ SV209 @ SV159 ) @ SV159 @ SV209 )
              | ~ ~ ( v1_xboole_0 @ ( sK4_C @ SV209 @ SV159 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8246]) ).

thf(8542,plain,
    ( ( ~ ( l3_lattices @ sK73_A )
      | ~ ~ ( v3_struct_0 @ sK73_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8247]) ).

thf(8543,plain,
    ! [SV244: $i] :
      ( ( ! [SY565: $i] :
            ( ( v3_struct_0 @ SV244 )
            | ~ ( l3_lattices @ SV244 )
            | ( v3_struct_0 @ SY565 )
            | ~ ( l3_lattices @ SY565 )
            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV244 @ SY565 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8249]) ).

thf(8544,plain,
    ! [SV245: $i] :
      ( ( ! [SY566: $i] :
            ( ( v3_struct_0 @ SV245 )
            | ~ ( l3_lattices @ SV245 )
            | ( v3_struct_0 @ SY566 )
            | ~ ( l3_lattices @ SY566 )
            | ( v3_lattices @ ( k8_filter_1 @ SV245 @ SY566 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8250]) ).

thf(8545,plain,
    ! [SV160: $i] :
      ( ( ( l3_lattices @ SV160 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                                            ( ( v3_struct_0 @ SY501 )
                                            | ~ ( l3_lattices @ SY501 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                            | ~ ( v3_struct_0 @ SV160 ) )
                                      | ~ ! [SY502: $i] :
                                            ( ( v3_struct_0 @ SY502 )
                                            | ~ ( l3_lattices @ SY502 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                            | ( v10_lattices @ SV160 ) ) )
                                | ~ ! [SY503: $i] :
                                      ( ( v3_struct_0 @ SY503 )
                                      | ~ ( l3_lattices @ SY503 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                      | ( l3_lattices @ SV160 ) ) )
                          | ~ ! [SY504: $i] :
                                ( ( v3_struct_0 @ SY504 )
                                | ~ ( l3_lattices @ SY504 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                                | ~ ( v3_struct_0 @ SY504 ) ) )
                    | ~ ! [SY505: $i] :
                          ( ( v3_struct_0 @ SY505 )
                          | ~ ( l3_lattices @ SY505 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY505 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                          | ( v10_lattices @ SY505 ) ) )
              | ~ ! [SY506: $i] :
                    ( ( v3_struct_0 @ SY506 )
                    | ~ ( l3_lattices @ SY506 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY506 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                    | ( l3_lattices @ SY506 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8251]) ).

thf(8546,plain,
    ! [SV246: $i] :
      ( ( ~ ( l1_struct_0 @ SV246 )
        | ~ ( v1_realset1 @ ( u1_struct_0 @ SV246 ) )
        | ( v3_realset2 @ SV246 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8252]) ).

thf(8547,plain,
    ! [SV247: $i] :
      ( ( ~ ( l1_struct_0 @ SV247 )
        | ~ ( v3_realset2 @ SV247 )
        | ( v1_realset1 @ ( u1_struct_0 @ SV247 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8253]) ).

thf(8548,plain,
    ! [SV248: $i] :
      ( ( ! [SY567: $i] :
            ( ( v3_struct_0 @ SV248 )
            | ~ ( l3_lattices @ SV248 )
            | ( v3_struct_0 @ SY567 )
            | ~ ( l3_lattices @ SY567 )
            | ( l3_lattices @ ( k8_filter_1 @ SV248 @ SY567 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8254]) ).

thf(8549,plain,
    ! [SV249: $i] :
      ( ( ! [SY568: $i] :
            ( ( v3_struct_0 @ SV249 )
            | ~ ( l3_lattices @ SV249 )
            | ( v3_struct_0 @ SY568 )
            | ~ ( l3_lattices @ SY568 )
            | ( v3_lattices @ ( k8_filter_1 @ SV249 @ SY568 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8255]) ).

thf(8550,plain,
    ! [SV250: $i] :
      ( ( ~ ( l1_struct_0 @ SV250 )
        | ~ ( v1_finset_1 @ ( u1_struct_0 @ SV250 ) )
        | ( v6_group_1 @ SV250 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8256]) ).

thf(8551,plain,
    ! [SV251: $i] :
      ( ( ~ ( l1_struct_0 @ SV251 )
        | ~ ( v6_group_1 @ SV251 )
        | ( v1_finset_1 @ ( u1_struct_0 @ SV251 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8257]) ).

thf(8552,plain,
    ( ( v3_struct_0 @ sK78_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8259]) ).

thf(8553,plain,
    ! [SV161: $i] :
      ( ( ( ( v3_struct_0 @ SV161 )
          | ~ ( v10_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY507: $i] :
                    ( ~ ( m1_filter_0 @ SY507 @ SV161 )
                    | ( SY507
                      = ( k1_filter_0 @ SV161 ) )
                    | ~ ( v2_filter_0 @ SY507 @ SV161 )
                    | ( v1_filter_0 @ SY507 @ SV161 ) )
              | ~ ~ ( ~ ! [SY508: $i] :
                          ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                          | ~ ( v1_filter_0 @ SY508 @ SV161 )
                          | ( SY508
                           != ( k1_filter_0 @ SV161 ) ) )
                    | ~ ! [SY509: $i] :
                          ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                          | ~ ( v1_filter_0 @ SY509 @ SV161 )
                          | ( v2_filter_0 @ SY509 @ SV161 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8260]) ).

thf(8554,plain,
    ( ( ~ ( l3_vectsp_1 @ sK13_A )
      | ~ ( v3_vectsp_1 @ sK13_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8261]) ).

thf(8555,plain,
    ( ( v3_struct_0 @ sK77_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8264]) ).

thf(8556,plain,
    ( ( v1_xboole_0 @ sK37_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8265]) ).

thf(8557,plain,
    ( ( ~ ( l2_vectsp_1 @ sK60_A )
      | ~ ~ ( v3_struct_0 @ sK60_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8267]) ).

thf(8558,plain,
    ! [SV252: $i] :
      ( ( ~ ( l3_lattices @ SV252 )
        | ( l1_lattices @ SV252 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8269]) ).

thf(8559,plain,
    ! [SV253: $i] :
      ( ( ~ ( l3_lattices @ SV253 )
        | ( l2_lattices @ SV253 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8270]) ).

thf(8560,plain,
    ! [SV254: $i] :
      ( ( ~ ( l3_lattices @ SV254 )
        | ( v3_struct_0 @ SV254 )
        | ~ ( v13_lattices @ SV254 )
        | ~ ( v14_lattices @ SV254 )
        | ~ ( v3_struct_0 @ SV254 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8271]) ).

thf(8561,plain,
    ! [SV255: $i] :
      ( ( ~ ( l3_lattices @ SV255 )
        | ( v3_struct_0 @ SV255 )
        | ~ ( v13_lattices @ SV255 )
        | ~ ( v14_lattices @ SV255 )
        | ( v15_lattices @ SV255 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8272]) ).

thf(8562,plain,
    ( ( v1_xboole_0 @ sK5_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8273]) ).

thf(8563,plain,
    ! [SV256: $i] :
      ( ( ( v3_struct_0 @ SV256 )
        | ~ ( v10_lattices @ SV256 )
        | ~ ( l3_lattices @ SV256 )
        | ~ ( v13_lattices @ ( k1_lattice2 @ SV256 ) )
        | ( v14_lattices @ SV256 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8275]) ).

thf(8564,plain,
    ! [SV257: $i] :
      ( ( ( v3_struct_0 @ SV257 )
        | ~ ( v10_lattices @ SV257 )
        | ~ ( l3_lattices @ SV257 )
        | ~ ( v14_lattices @ SV257 )
        | ( v13_lattices @ ( k1_lattice2 @ SV257 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8276]) ).

thf(8565,plain,
    ! [SV258: $i] :
      ( ( ( v3_struct_0 @ SV258 )
        | ~ ( l3_lattices @ SV258 )
        | ~ ( v13_lattices @ SV258 )
        | ~ ( v14_lattices @ SV258 )
        | ( v15_lattices @ SV258 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8277]) ).

thf(8566,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ( v13_lattices @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ( v14_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8278]) ).

thf(8567,plain,
    ! [SV259: $i] :
      ( ( ~ ( l1_struct_0 @ SV259 )
        | ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV259 ) )
        | ( v3_struct_0 @ SV259 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8281]) ).

thf(8568,plain,
    ! [SV260: $i] :
      ( ( ~ ( l1_struct_0 @ SV260 )
        | ~ ( v3_struct_0 @ SV260 )
        | ( v1_xboole_0 @ ( u1_struct_0 @ SV260 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8282]) ).

thf(8569,plain,
    ( ( v3_struct_0 @ k3_vectsp_1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8283]) ).

thf(8570,plain,
    ! [SV162: $i] :
      ( ( ( ( v3_struct_0 @ SV162 )
          | ~ ( v10_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY510: $i] :
                                ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                          | ~ ! [SY511: $i] :
                                ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                                | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
                    | ~ ! [SY512: $i] :
                          ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                          | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
              | ~ ! [SY513: $i] :
                    ( ~ ( m1_filter_0 @ SY513 @ SV162 )
                    | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8285]) ).

thf(8571,plain,
    ! [SV163: $i] :
      ( ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV163 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV163 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                                | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                          | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
                    | ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK7_B @ SV163 ) @ SV163 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8286]) ).

thf(8572,plain,
    ( ( v1_xboole_0 @ sK38_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8289]) ).

thf(8573,plain,
    ! [SV261: $i] :
      ( ( ( v3_struct_0 @ SV261 )
        | ~ ( v10_lattices @ SV261 )
        | ~ ( v17_lattices @ SV261 )
        | ( v3_realset2 @ SV261 )
        | ~ ( l3_lattices @ SV261 )
        | ( v1_funct_1 @ ( k8_lopclset @ SV261 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8291]) ).

thf(8574,plain,
    ! [SV262: $i] :
      ( ( ( v3_struct_0 @ SV262 )
        | ~ ( v10_lattices @ SV262 )
        | ~ ( v17_lattices @ SV262 )
        | ( v3_realset2 @ SV262 )
        | ~ ( l3_lattices @ SV262 )
        | ( v1_relat_1 @ ( k8_lopclset @ SV262 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8292]) ).

thf(8575,plain,
    ( ( ~ ( l3_vectsp_1 @ sK56_A )
      | ~ ( v3_vectsp_1 @ sK56_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8293]) ).

thf(8576,plain,
    ( ( v3_realset2 @ sK56_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8294]) ).

thf(8577,plain,
    ! [SV263: $i] :
      ( ( ~ ( v1_xboole_0 @ SV263 )
        | ( v1_relat_1 @ ( k4_relat_1 @ SV263 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8297]) ).

thf(8578,plain,
    ! [SV264: $i] :
      ( ( ~ ( v1_xboole_0 @ SV264 )
        | ( v1_xboole_0 @ ( k4_relat_1 @ SV264 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8298]) ).

thf(8579,plain,
    ! [SV265: $i] :
      ( ( ~ ( v1_xboole_0 @ SV265 )
        | ( v1_relat_1 @ ( k2_relat_1 @ SV265 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8299]) ).

thf(8580,plain,
    ! [SV266: $i] :
      ( ( ~ ( v1_xboole_0 @ SV266 )
        | ( v1_xboole_0 @ ( k2_relat_1 @ SV266 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8300]) ).

thf(8581,plain,
    ! [SV164: $i] :
      ( ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                                      ( ( v3_struct_0 @ SY514 )
                                      | ~ ( v10_lattices @ SY514 )
                                      | ~ ( l3_lattices @ SY514 )
                                      | ( v3_struct_0 @ SV164 )
                                      | ~ ( v10_lattices @ SV164 )
                                      | ~ ( v11_lattices @ SV164 )
                                      | ~ ( l3_lattices @ SV164 )
                                      | ( v3_struct_0 @ SY514 )
                                      | ~ ( v10_lattices @ SY514 )
                                      | ~ ( v11_lattices @ SY514 )
                                      | ~ ( l3_lattices @ SY514 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                                | ~ ! [SY515: $i] :
                                      ( ( v3_struct_0 @ SY515 )
                                      | ~ ( v10_lattices @ SY515 )
                                      | ~ ( l3_lattices @ SY515 )
                                      | ( v3_struct_0 @ SV164 )
                                      | ~ ( v10_lattices @ SV164 )
                                      | ~ ( v11_lattices @ SV164 )
                                      | ~ ( l3_lattices @ SV164 )
                                      | ( v3_struct_0 @ SY515 )
                                      | ~ ( v10_lattices @ SY515 )
                                      | ~ ( v11_lattices @ SY515 )
                                      | ~ ( l3_lattices @ SY515 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                          | ~ ! [SY516: $i] :
                                ( ( v3_struct_0 @ SY516 )
                                | ~ ( v10_lattices @ SY516 )
                                | ~ ( l3_lattices @ SY516 )
                                | ( v3_struct_0 @ SV164 )
                                | ~ ( v10_lattices @ SV164 )
                                | ~ ( v11_lattices @ SV164 )
                                | ~ ( l3_lattices @ SV164 )
                                | ( v3_struct_0 @ SY516 )
                                | ~ ( v10_lattices @ SY516 )
                                | ~ ( v11_lattices @ SY516 )
                                | ~ ( l3_lattices @ SY516 )
                                | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
                    | ~ ! [SY517: $i] :
                          ( ( v3_struct_0 @ SY517 )
                          | ~ ( v10_lattices @ SY517 )
                          | ~ ( l3_lattices @ SY517 )
                          | ( v3_struct_0 @ SV164 )
                          | ~ ( v10_lattices @ SV164 )
                          | ~ ( v11_lattices @ SV164 )
                          | ~ ( l3_lattices @ SV164 )
                          | ( v3_struct_0 @ SY517 )
                          | ~ ( v10_lattices @ SY517 )
                          | ~ ( v11_lattices @ SY517 )
                          | ~ ( l3_lattices @ SY517 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                              ( ( v3_struct_0 @ SY518 )
                                                              | ~ ( v10_lattices @ SY518 )
                                                              | ~ ( l3_lattices @ SY518 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v3_struct_0 @ SV164 ) )
                                                        | ~ ! [SY519: $i] :
                                                              ( ( v3_struct_0 @ SY519 )
                                                              | ~ ( v10_lattices @ SY519 )
                                                              | ~ ( l3_lattices @ SY519 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ( v10_lattices @ SV164 ) ) )
                                                  | ~ ! [SY520: $i] :
                                                        ( ( v3_struct_0 @ SY520 )
                                                        | ~ ( v10_lattices @ SY520 )
                                                        | ~ ( l3_lattices @ SY520 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ( v11_lattices @ SV164 ) ) )
                                            | ~ ! [SY521: $i] :
                                                  ( ( v3_struct_0 @ SY521 )
                                                  | ~ ( v10_lattices @ SY521 )
                                                  | ~ ( l3_lattices @ SY521 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ( l3_lattices @ SV164 ) ) )
                                      | ~ ! [SY522: $i] :
                                            ( ( v3_struct_0 @ SY522 )
                                            | ~ ( v10_lattices @ SY522 )
                                            | ~ ( l3_lattices @ SY522 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v3_struct_0 @ SY522 ) ) )
                                | ~ ! [SY523: $i] :
                                      ( ( v3_struct_0 @ SY523 )
                                      | ~ ( v10_lattices @ SY523 )
                                      | ~ ( l3_lattices @ SY523 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ( v10_lattices @ SY523 ) ) )
                          | ~ ! [SY524: $i] :
                                ( ( v3_struct_0 @ SY524 )
                                | ~ ( v10_lattices @ SY524 )
                                | ~ ( l3_lattices @ SY524 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ( v11_lattices @ SY524 ) ) )
                    | ~ ! [SY525: $i] :
                          ( ( v3_struct_0 @ SY525 )
                          | ~ ( v10_lattices @ SY525 )
                          | ~ ( l3_lattices @ SY525 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ( l3_lattices @ SY525 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8301]) ).

thf(8582,plain,
    ! [SV165: $i] :
      ( ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV165 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV165 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY526: $i] :
                    ( ( v3_struct_0 @ SY526 )
                    | ~ ( v10_lattices @ SY526 )
                    | ~ ( l3_lattices @ SY526 )
                    | ~ ( v15_lattices @ SV165 )
                    | ~ ( v15_lattices @ SY526 )
                    | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY526 ) ) )
              | ~ ~ ( ~ ! [SY527: $i] :
                          ( ( v3_struct_0 @ SY527 )
                          | ~ ( v10_lattices @ SY527 )
                          | ~ ( l3_lattices @ SY527 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                          | ( v15_lattices @ SV165 ) )
                    | ~ ! [SY528: $i] :
                          ( ( v3_struct_0 @ SY528 )
                          | ~ ( v10_lattices @ SY528 )
                          | ~ ( l3_lattices @ SY528 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                          | ( v15_lattices @ SY528 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8302]) ).

thf(8583,plain,
    ! [SV267: $i] :
      ( ( ~ ( l3_lattices @ SV267 )
        | ( l3_lattices @ ( k1_lattice2 @ SV267 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8303]) ).

thf(8584,plain,
    ! [SV268: $i] :
      ( ( ~ ( l3_lattices @ SV268 )
        | ( v3_lattices @ ( k1_lattice2 @ SV268 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8304]) ).

thf(8585,plain,
    ! [SV166: $i] :
      ( ( ( l1_pre_topc @ SV166 )
        = $false )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK68_B @ SV166 ) @ SV166 )
                    | ~ ~ ( v3_struct_0 @ ( sK68_B @ SV166 ) ) )
              | ~ ( v1_pre_topc @ ( sK68_B @ SV166 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8305]) ).

thf(8586,plain,
    ! [SV167: $i] :
      ( ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV167 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
                          | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
                    | ~ ( v2_pre_topc @ ( sK8_B @ SV167 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK8_B @ SV167 ) @ SV167 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8306]) ).

thf(8587,plain,
    ( ( ~ ( l3_vectsp_1 @ sK59_A )
      | ~ ~ ( v3_struct_0 @ sK59_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8309]) ).

thf(8588,plain,
    ! [SV269: $i] :
      ( ( ( v3_struct_0 @ SV269 )
        | ~ ( v10_lattices @ SV269 )
        | ~ ( l3_lattices @ SV269 )
        | ~ ( v13_lattices @ SV269 )
        | ~ ( v3_filter_0 @ SV269 )
        | ( v1_lattice2 @ SV269 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8311]) ).

thf(8589,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v1_lattice2 @ SX0 )
            | ( v13_lattices @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v1_lattice2 @ SX0 )
            | ( v3_filter_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8312]) ).

thf(8590,plain,
    ! [SV270: $i] :
      ( ( ( v3_struct_0 @ SV270 )
        | ~ ( l3_lattices @ SV270 )
        | ~ ( v3_struct_0 @ ( k1_lattice2 @ SV270 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8315]) ).

thf(8591,plain,
    ! [SV271: $i] :
      ( ( ( v3_struct_0 @ SV271 )
        | ~ ( l3_lattices @ SV271 )
        | ( v3_lattices @ ( k1_lattice2 @ SV271 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8316]) ).

thf(8592,plain,
    ! [SV272: $i] :
      ( ( ( v3_struct_0 @ SV272 )
        | ~ ( v10_lattices @ SV272 )
        | ~ ( l3_lattices @ SV272 )
        | ~ ( v6_group_1 @ SV272 )
        | ( v6_group_1 @ ( k1_lattice2 @ SV272 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8317]) ).

thf(8593,plain,
    ! [SV273: $i] :
      ( ( ( v3_struct_0 @ SV273 )
        | ~ ( v10_lattices @ SV273 )
        | ~ ( l3_lattices @ SV273 )
        | ~ ( v6_group_1 @ ( k1_lattice2 @ SV273 ) )
        | ( v6_group_1 @ SV273 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8318]) ).

thf(8594,plain,
    ( ( v3_struct_0 @ k1_vectsp_1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8319]) ).

thf(8595,plain,
    ! [SV168: $i] :
      ( ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV168 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV168 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY529: $i] :
                    ( ( v3_struct_0 @ SY529 )
                    | ~ ( v10_lattices @ SY529 )
                    | ~ ( l3_lattices @ SY529 )
                    | ~ ( v14_lattices @ SV168 )
                    | ~ ( v14_lattices @ SY529 )
                    | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY529 ) ) )
              | ~ ~ ( ~ ! [SY530: $i] :
                          ( ( v3_struct_0 @ SY530 )
                          | ~ ( v10_lattices @ SY530 )
                          | ~ ( l3_lattices @ SY530 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                          | ( v14_lattices @ SV168 ) )
                    | ~ ! [SY531: $i] :
                          ( ( v3_struct_0 @ SY531 )
                          | ~ ( v10_lattices @ SY531 )
                          | ~ ( l3_lattices @ SY531 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                          | ( v14_lattices @ SY531 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8321]) ).

thf(8596,plain,
    ( ( ~ ~ ( v3_struct_0 @ k22_borsuk_1 )
      | ~ ( v1_pre_topc @ k22_borsuk_1 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8322]) ).

thf(8597,plain,
    ( ( v1_xboole_0 @ sK36_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8326]) ).

thf(8598,plain,
    ! [SV274: $i] :
      ( ( ~ ( l2_vectsp_1 @ SV274 )
        | ( l1_vectsp_1 @ SV274 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8328]) ).

thf(8599,plain,
    ! [SV275: $i] :
      ( ( ~ ( l2_vectsp_1 @ SV275 )
        | ( l2_struct_0 @ SV275 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8329]) ).

thf(8600,plain,
    ( ( ~ ( l1_lattices @ sK74_A )
      | ~ ~ ( v3_struct_0 @ sK74_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8330]) ).

thf(8601,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( m1_filter_0 @ SX1 @ SX0 )
                  | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( m1_filter_0 @ SX1 @ SX0 )
                  | ( v3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ( v10_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8332]) ).

thf(8602,plain,
    ! [SV276: $i] :
      ( ( ! [SY569: $i] :
            ( ( v3_struct_0 @ SV276 )
            | ~ ( v10_lattices @ SV276 )
            | ~ ( l3_lattices @ SV276 )
            | ~ ( m1_filter_0 @ SY569 @ SV276 )
            | ( l3_lattices @ ( k5_filter_1 @ SV276 @ SY569 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8333]) ).

thf(8603,plain,
    ! [SV277: $i] :
      ( ( ~ ( l1_pre_topc @ SV277 )
        | ~ ( v2_pre_topc @ SV277 )
        | ( v3_pre_topc @ ( k2_pre_topc @ SV277 ) @ SV277 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8334]) ).

thf(8604,plain,
    ! [SV278: $i] :
      ( ( ~ ( l1_pre_topc @ SV278 )
        | ~ ( v2_pre_topc @ SV278 )
        | ( v4_pre_topc @ ( k2_pre_topc @ SV278 ) @ SV278 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8335]) ).

thf(8605,plain,
    ( ( ~ ( l2_lattices @ sK75_A )
      | ~ ~ ( v3_struct_0 @ sK75_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8336]) ).

thf(8606,plain,
    ( ( v1_xboole_0 @ sK6_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8338]) ).

thf(8607,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( l1_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( l1_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8340]) ).

thf(8608,plain,
    ! [SV279: $i] :
      ( ( ! [SY570: $i] :
            ( ~ ( l1_pre_topc @ SV279 )
            | ~ ( v2_pre_topc @ SV279 )
            | ~ ( v2_pre_topc @ SY570 )
            | ~ ( l1_pre_topc @ SY570 )
            | ( l1_pre_topc @ ( k6_borsuk_1 @ SV279 @ SY570 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8341]) ).

thf(8609,plain,
    ( ( ~ ( l1_group_1 @ sK62_A )
      | ~ ~ ( v3_struct_0 @ sK62_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8342]) ).

thf(8610,plain,
    ! [SV280: $i] :
      ( ( ~ ( l3_lattices @ SV280 )
        | ( v3_struct_0 @ SV280 )
        | ~ ( v11_lattices @ SV280 )
        | ~ ( v15_lattices @ SV280 )
        | ~ ( v16_lattices @ SV280 )
        | ~ ( v3_struct_0 @ SV280 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8350]) ).

thf(8611,plain,
    ! [SV281: $i] :
      ( ( ~ ( l3_lattices @ SV281 )
        | ( v3_struct_0 @ SV281 )
        | ~ ( v11_lattices @ SV281 )
        | ~ ( v15_lattices @ SV281 )
        | ~ ( v16_lattices @ SV281 )
        | ( v17_lattices @ SV281 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8351]) ).

thf(8612,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8352]) ).

thf(8613,plain,
    ! [SV282: $i] :
      ( ( ( v3_struct_0 @ SV282 )
        | ~ ( v2_pre_topc @ SV282 )
        | ~ ( l1_pre_topc @ SV282 )
        | ( l3_lattices @ ( k6_lopclset @ SV282 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8353]) ).

thf(8614,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_relat_1 @ SX0 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ~ ( v1_funct_1 @ SX0 )
            | ( v1_funct_1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( v1_relat_1 @ SX0 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ~ ( v1_funct_1 @ SX0 )
            | ( v1_relat_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8354]) ).

thf(8615,plain,
    ! [SV283: $i] :
      ( ( ~ ( v1_relat_1 @ SV283 )
        | ~ ( v1_xboole_0 @ SV283 )
        | ~ ( v1_funct_1 @ SV283 )
        | ( v2_funct_1 @ SV283 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8355]) ).

thf(8616,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8356]) ).

thf(8617,plain,
    ! [SV284: $i] :
      ( ( ( v3_struct_0 @ SV284 )
        | ~ ( v10_lattices @ SV284 )
        | ~ ( v17_lattices @ SV284 )
        | ( v3_realset2 @ SV284 )
        | ~ ( l3_lattices @ SV284 )
        | ( v2_pre_topc @ ( k11_lopclset @ SV284 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8357]) ).

thf(8618,plain,
    ! [SV285: $i] :
      ( ( ! [SY571: $i] :
            ( ~ ( v1_relat_1 @ SY571 )
            | ~ ( v1_xboole_0 @ SV285 )
            | ( v1_relat_1 @ ( k5_relat_1 @ SV285 @ SY571 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8358]) ).

thf(8619,plain,
    ! [SV286: $i] :
      ( ( ! [SY572: $i] :
            ( ~ ( v1_relat_1 @ SY572 )
            | ~ ( v1_xboole_0 @ SV286 )
            | ( v1_xboole_0 @ ( k5_relat_1 @ SV286 @ SY572 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8359]) ).

thf(8620,plain,
    ! [SV169: $i] :
      ( ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV169 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV169 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY532: $i] :
                    ( ( v3_struct_0 @ SY532 )
                    | ~ ( v10_lattices @ SY532 )
                    | ~ ( l3_lattices @ SY532 )
                    | ~ ( v13_lattices @ SV169 )
                    | ~ ( v13_lattices @ SY532 )
                    | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY532 ) ) )
              | ~ ~ ( ~ ! [SY533: $i] :
                          ( ( v3_struct_0 @ SY533 )
                          | ~ ( v10_lattices @ SY533 )
                          | ~ ( l3_lattices @ SY533 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                          | ( v13_lattices @ SV169 ) )
                    | ~ ! [SY534: $i] :
                          ( ( v3_struct_0 @ SY534 )
                          | ~ ( v10_lattices @ SY534 )
                          | ~ ( l3_lattices @ SY534 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                          | ( v13_lattices @ SY534 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8366]) ).

thf(8621,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8367]) ).

thf(8622,plain,
    ! [SV287: $i] :
      ( ( ( v3_struct_0 @ SV287 )
        | ~ ( v10_lattices @ SV287 )
        | ~ ( v17_lattices @ SV287 )
        | ( v3_realset2 @ SV287 )
        | ~ ( l3_lattices @ SV287 )
        | ( l1_pre_topc @ ( k11_lopclset @ SV287 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8368]) ).

thf(8623,plain,
    ( ( ~ ~ ( ~ ( v1_funct_1 @ sK39_A )
            | ~ ( v1_relat_1 @ sK39_A ) )
      | ~ ( v2_funct_1 @ sK39_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8369]) ).

thf(8624,plain,
    ( ( ~ ~ ( v3_struct_0 @ k3_vectsp_1 )
      | ~ ( v2_group_1 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8371]) ).

thf(8625,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                              ( ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ SX0 )
                              | ~ ( v17_lattices @ SX0 )
                              | ~ ( v3_struct_0 @ SX0 ) )
                        | ~ ! [SX0: $i] :
                              ( ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ SX0 )
                              | ~ ( v17_lattices @ SX0 )
                              | ( v11_lattices @ SX0 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ( v13_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v14_lattices @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v15_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8373]) ).

thf(8626,plain,
    ! [SV288: $i] :
      ( ( ~ ( l3_lattices @ SV288 )
        | ( v3_struct_0 @ SV288 )
        | ~ ( v17_lattices @ SV288 )
        | ( v16_lattices @ SV288 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8374]) ).

thf(8627,plain,
    ! [SV289: $i] :
      ( ( ( v3_struct_0 @ SV289 )
        | ~ ( v10_lattices @ SV289 )
        | ~ ( l3_lattices @ SV289 )
        | ~ ( v13_lattices @ SV289 )
        | ( v14_lattices @ ( k1_lattice2 @ SV289 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8375]) ).

thf(8628,plain,
    ! [SV290: $i] :
      ( ( ( v3_struct_0 @ SV290 )
        | ~ ( v10_lattices @ SV290 )
        | ~ ( l3_lattices @ SV290 )
        | ~ ( v14_lattices @ ( k1_lattice2 @ SV290 ) )
        | ( v13_lattices @ SV290 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8376]) ).

thf(8629,plain,
    ! [SV291: $i] :
      ( ( ~ ( l1_struct_0 @ SV291 )
        | ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
            | ~ ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
                  | ~ ( ( ( sK11_B @ SV291 )
                       != ( sK12_SY394 @ SV291 ) ) ) ) )
        | ( v3_realset2 @ SV291 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8377]) ).

thf(8630,plain,
    ! [SV292: $i] :
      ( ( ~ ( l1_struct_0 @ SV292 )
        | ~ ( v3_realset2 @ SV292 )
        | ! [SY573: $i] :
            ( ~ ( m1_subset_1 @ SY573 @ ( u1_struct_0 @ SV292 ) )
            | ! [SY574: $i] :
                ( ~ ( m1_subset_1 @ SY574 @ ( u1_struct_0 @ SV292 ) )
                | ( SY573 = SY574 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8378]) ).

thf(8631,plain,
    ! [SV170: $i] :
      ( ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                            ( ( v3_struct_0 @ SY535 )
                                            | ~ ( v10_lattices @ SY535 )
                                            | ~ ( l3_lattices @ SY535 )
                                            | ( v3_struct_0 @ SV170 )
                                            | ~ ( v10_lattices @ SV170 )
                                            | ~ ( v15_lattices @ SV170 )
                                            | ~ ( v16_lattices @ SV170 )
                                            | ~ ( l3_lattices @ SV170 )
                                            | ( v3_struct_0 @ SY535 )
                                            | ~ ( v10_lattices @ SY535 )
                                            | ~ ( v15_lattices @ SY535 )
                                            | ~ ( v16_lattices @ SY535 )
                                            | ~ ( l3_lattices @ SY535 )
                                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                                      | ~ ! [SY536: $i] :
                                            ( ( v3_struct_0 @ SY536 )
                                            | ~ ( v10_lattices @ SY536 )
                                            | ~ ( l3_lattices @ SY536 )
                                            | ( v3_struct_0 @ SV170 )
                                            | ~ ( v10_lattices @ SV170 )
                                            | ~ ( v15_lattices @ SV170 )
                                            | ~ ( v16_lattices @ SV170 )
                                            | ~ ( l3_lattices @ SV170 )
                                            | ( v3_struct_0 @ SY536 )
                                            | ~ ( v10_lattices @ SY536 )
                                            | ~ ( v15_lattices @ SY536 )
                                            | ~ ( v16_lattices @ SY536 )
                                            | ~ ( l3_lattices @ SY536 )
                                            | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                                | ~ ! [SY537: $i] :
                                      ( ( v3_struct_0 @ SY537 )
                                      | ~ ( v10_lattices @ SY537 )
                                      | ~ ( l3_lattices @ SY537 )
                                      | ( v3_struct_0 @ SV170 )
                                      | ~ ( v10_lattices @ SV170 )
                                      | ~ ( v15_lattices @ SV170 )
                                      | ~ ( v16_lattices @ SV170 )
                                      | ~ ( l3_lattices @ SV170 )
                                      | ( v3_struct_0 @ SY537 )
                                      | ~ ( v10_lattices @ SY537 )
                                      | ~ ( v15_lattices @ SY537 )
                                      | ~ ( v16_lattices @ SY537 )
                                      | ~ ( l3_lattices @ SY537 )
                                      | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                          | ~ ! [SY538: $i] :
                                ( ( v3_struct_0 @ SY538 )
                                | ~ ( v10_lattices @ SY538 )
                                | ~ ( l3_lattices @ SY538 )
                                | ( v3_struct_0 @ SV170 )
                                | ~ ( v10_lattices @ SV170 )
                                | ~ ( v15_lattices @ SV170 )
                                | ~ ( v16_lattices @ SV170 )
                                | ~ ( l3_lattices @ SV170 )
                                | ( v3_struct_0 @ SY538 )
                                | ~ ( v10_lattices @ SY538 )
                                | ~ ( v15_lattices @ SY538 )
                                | ~ ( v16_lattices @ SY538 )
                                | ~ ( l3_lattices @ SY538 )
                                | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
                    | ~ ! [SY539: $i] :
                          ( ( v3_struct_0 @ SY539 )
                          | ~ ( v10_lattices @ SY539 )
                          | ~ ( l3_lattices @ SY539 )
                          | ( v3_struct_0 @ SV170 )
                          | ~ ( v10_lattices @ SV170 )
                          | ~ ( v15_lattices @ SV170 )
                          | ~ ( v16_lattices @ SV170 )
                          | ~ ( l3_lattices @ SV170 )
                          | ( v3_struct_0 @ SY539 )
                          | ~ ( v10_lattices @ SY539 )
                          | ~ ( v15_lattices @ SY539 )
                          | ~ ( v16_lattices @ SY539 )
                          | ~ ( l3_lattices @ SY539 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                          ( ( v3_struct_0 @ SY540 )
                                                                          | ~ ( v10_lattices @ SY540 )
                                                                          | ~ ( l3_lattices @ SY540 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v3_struct_0 @ SV170 ) )
                                                                    | ~ ! [SY541: $i] :
                                                                          ( ( v3_struct_0 @ SY541 )
                                                                          | ~ ( v10_lattices @ SY541 )
                                                                          | ~ ( l3_lattices @ SY541 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ( v10_lattices @ SV170 ) ) )
                                                              | ~ ! [SY542: $i] :
                                                                    ( ( v3_struct_0 @ SY542 )
                                                                    | ~ ( v10_lattices @ SY542 )
                                                                    | ~ ( l3_lattices @ SY542 )
                                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ( v15_lattices @ SV170 ) ) )
                                                        | ~ ! [SY543: $i] :
                                                              ( ( v3_struct_0 @ SY543 )
                                                              | ~ ( v10_lattices @ SY543 )
                                                              | ~ ( l3_lattices @ SY543 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ( v16_lattices @ SV170 ) ) )
                                                  | ~ ! [SY544: $i] :
                                                        ( ( v3_struct_0 @ SY544 )
                                                        | ~ ( v10_lattices @ SY544 )
                                                        | ~ ( l3_lattices @ SY544 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ( l3_lattices @ SV170 ) ) )
                                            | ~ ! [SY545: $i] :
                                                  ( ( v3_struct_0 @ SY545 )
                                                  | ~ ( v10_lattices @ SY545 )
                                                  | ~ ( l3_lattices @ SY545 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v3_struct_0 @ SY545 ) ) )
                                      | ~ ! [SY546: $i] :
                                            ( ( v3_struct_0 @ SY546 )
                                            | ~ ( v10_lattices @ SY546 )
                                            | ~ ( l3_lattices @ SY546 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ( v10_lattices @ SY546 ) ) )
                                | ~ ! [SY547: $i] :
                                      ( ( v3_struct_0 @ SY547 )
                                      | ~ ( v10_lattices @ SY547 )
                                      | ~ ( l3_lattices @ SY547 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ( v15_lattices @ SY547 ) ) )
                          | ~ ! [SY548: $i] :
                                ( ( v3_struct_0 @ SY548 )
                                | ~ ( v10_lattices @ SY548 )
                                | ~ ( l3_lattices @ SY548 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ( v16_lattices @ SY548 ) ) )
                    | ~ ! [SY549: $i] :
                          ( ( v3_struct_0 @ SY549 )
                          | ~ ( v10_lattices @ SY549 )
                          | ~ ( l3_lattices @ SY549 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ( l3_lattices @ SY549 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8379]) ).

thf(8632,plain,
    ! [SV293: $i] :
      ( ( ( v3_struct_0 @ SV293 )
        | ~ ( l3_lattices @ SV293 )
        | ~ ( v15_lattices @ SV293 )
        | ~ ( v16_lattices @ SV293 )
        | ~ ( v11_lattices @ SV293 )
        | ( v17_lattices @ SV293 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8382]) ).

thf(8633,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v15_lattices @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v16_lattices @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v11_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8383]) ).

thf(8634,plain,
    ( ( v1_xboole_0 @ sK46_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8384]) ).

thf(8635,plain,
    ! [SV294: $i] :
      ( ( ( v3_struct_0 @ SV294 )
        | ~ ( l1_struct_0 @ SV294 )
        | ! [SY575: $i] :
            ( ( u1_struct_0 @ SV294 )
           != ( k1_tarski @ SY575 ) )
        | ( v3_realset2 @ SV294 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8386]) ).

thf(8636,plain,
    ! [SV295: $i] :
      ( ( ( v3_struct_0 @ SV295 )
        | ~ ( l1_struct_0 @ SV295 )
        | ~ ( v3_realset2 @ SV295 )
        | ( ( u1_struct_0 @ SV295 )
          = ( k1_tarski @ ( sK2_B @ SV295 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8387]) ).

thf(8637,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ~ ( v3_struct_0 @ ( k8_filter_0 @ SX0 @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ( v10_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8388]) ).

thf(8638,plain,
    ! [SV296: $i] :
      ( ( ! [SY576: $i] :
            ( ( v3_struct_0 @ SV296 )
            | ~ ( v10_lattices @ SV296 )
            | ~ ( l3_lattices @ SV296 )
            | ~ ( m1_filter_0 @ SY576 @ SV296 )
            | ( l3_lattices @ ( k8_filter_0 @ SV296 @ SY576 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8389]) ).

thf(8639,plain,
    ( ( ~ ( l1_rlvect_1 @ sK63_A )
      | ~ ~ ( v3_struct_0 @ sK63_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8390]) ).

thf(8640,plain,
    ! [SV171: $i] :
      ( ( ( v3_struct_0 @ SV171 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV171 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV171 ) )
        = $true )
      | ( ( ~ ( ~ ( m2_lattice4 @ ( sK53_B @ SV171 ) @ SV171 )
              | ~ ~ ( v1_xboole_0 @ ( sK53_B @ SV171 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8392]) ).

thf(8641,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( v11_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( v11_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v11_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v11_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8393]) ).

thf(8642,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v3_struct_0 @ SX0 ) )
                  | ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ( v10_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ( v11_lattices @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
            | ( l3_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8394]) ).

thf(8643,plain,
    ! [SV1: $i] :
      ( ( ( v2_pre_topc @ SV1 )
        = $false )
      | ( ( l1_pre_topc @ SV1 )
        = $false )
      | ( ( ! [SY395: $i] :
              ( ~ ( m1_pre_topc @ SY395 @ SV1 )
              | ( v2_pre_topc @ SY395 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8397]) ).

thf(8644,plain,
    ! [SV2: $i] :
      ( ( ( v2_pre_topc @ SV2 )
        = $false )
      | ( ( l1_pre_topc @ SV2 )
        = $false )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV2 ) @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8398]) ).

thf(8645,plain,
    ! [SV3: $i] :
      ( ( ( v2_pre_topc @ SV3 )
        = $false )
      | ( ( l1_pre_topc @ SV3 )
        = $false )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV3 ) @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8399]) ).

thf(8646,plain,
    ! [SV4: $i,SV222: $i] :
      ( ( ( ~ ( m1_pre_topc @ SV222 @ SV4 ) )
        = $true )
      | ( ( l1_pre_topc @ SV222 )
        = $true )
      | ( ( l1_pre_topc @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[8400]) ).

thf(8647,plain,
    ! [SV8: $i] :
      ( ( ( v2_pre_topc @ SV8 )
        = $false )
      | ( ( l1_pre_topc @ SV8 )
        = $false )
      | ( ( v4_pre_topc @ ( k1_pre_topc @ SV8 ) @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8401]) ).

thf(8648,plain,
    ! [SV10: $i] :
      ( ( ( v2_pre_topc @ SV10 )
        = $false )
      | ( ( l1_pre_topc @ SV10 )
        = $false )
      | ( ( ( k1_tops_1 @ SV10 @ ( k2_pre_topc @ SV10 ) )
          = ( k2_pre_topc @ SV10 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8402]) ).

thf(8649,plain,
    ! [SV12: $i] :
      ( ( ( v2_pre_topc @ SV12 )
        = $false )
      | ( ( l1_pre_topc @ SV12 )
        = $false )
      | ( ( v3_pre_topc @ ( k1_pre_topc @ SV12 ) @ SV12 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8403]) ).

thf(8650,plain,
    ! [SV13: $i] :
      ( ( ( v2_pre_topc @ SV13 )
        = $false )
      | ( ( l1_pre_topc @ SV13 )
        = $false )
      | ( ( v3_pre_topc @ ( k2_pre_topc @ SV13 ) @ SV13 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8404]) ).

thf(8651,plain,
    ! [SV14: $i] :
      ( ( ( v10_lattices @ SV14 )
        = $false )
      | ( ( v3_struct_0 @ SV14 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV14 ) )
        = $true )
      | ( ( m1_filter_0 @ ( u1_struct_0 @ SV14 ) @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8405]) ).

thf(8652,plain,
    ! [SV15: $i] :
      ( ( ( v10_lattices @ SV15 )
        = $false )
      | ( ( v3_struct_0 @ SV15 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV15 ) )
        = $true )
      | ( ( ( k1_filter_0 @ SV15 )
          = ( u1_struct_0 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8406]) ).

thf(8653,plain,
    ! [SV16: $i] :
      ( ( ( v10_lattices @ SV16 )
        = $false )
      | ( ( v3_struct_0 @ SV16 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV16 ) )
        = $true )
      | ( ( ! [SY397: $i] :
              ( ~ ( m1_filter_0 @ SY397 @ SV16 )
              | ( ( k3_filter_0 @ SV16 @ SY397 )
                = SY397 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8407]) ).

thf(8654,plain,
    ! [SV17: $i] :
      ( ( ( v3_struct_0 @ SV17 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV17 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV17 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV17 ) )
        = $true )
      | ( ( v14_lattices @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8408]) ).

thf(8655,plain,
    ! [SV18: $i] :
      ( ( ( v3_struct_0 @ SV18 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV18 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV18 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV18 ) )
        = $true )
      | ( ( v11_lattices @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8409]) ).

thf(8656,plain,
    ! [SV19: $i] :
      ( ( ( v3_struct_0 @ SV19 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV19 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV19 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV19 ) )
        = $true )
      | ( ( v3_filter_0 @ SV19 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8410]) ).

thf(8657,plain,
    ! [SV20: $i] :
      ( ( ( v10_lattices @ SV20 )
        = $false )
      | ( ( v3_struct_0 @ SV20 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV20 ) )
        = $true )
      | ( ( m1_filter_0 @ ( sK55_B @ SV20 ) @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8411]) ).

thf(8658,plain,
    ! [SV21: $i] :
      ( ( ( v10_lattices @ SV21 )
        = $false )
      | ( ( v3_struct_0 @ SV21 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV21 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_0 @ SV21 ) @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8412]) ).

thf(8659,plain,
    ! [SV210: $i,SV172: $i,SV22: $i] :
      ( ( ( ( v3_struct_0 @ SV22 )
          | ~ ( v10_lattices @ SV22 )
          | ~ ( v17_lattices @ SV22 )
          | ~ ( l3_lattices @ SV22 )
          | ~ ( m1_filter_0 @ SV172 @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV210 @ SV22 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8413]) ).

thf(8660,plain,
    ! [SV23: $i] :
      ( ( ( v3_lattices @ SV23 )
        = $false )
      | ( ( v3_struct_0 @ SV23 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV23 ) )
        = $true )
      | ( ( ( k1_lattice2 @ ( k1_lattice2 @ SV23 ) )
          = SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8414]) ).

thf(8661,plain,
    ! [SV24: $i] :
      ( ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV24 ) )
        = $true )
      | ( ( ! [SY400: $i] :
              ( ( v3_struct_0 @ SY400 )
              | ~ ( v10_lattices @ SY400 )
              | ~ ( l3_lattices @ SY400 )
              | ! [SY401: $i] :
                  ( ( v3_struct_0 @ SY401 )
                  | ~ ( v10_lattices @ SY401 )
                  | ~ ( l3_lattices @ SY401 )
                  | ~ ( r1_filter_1 @ SV24 @ SY400 )
                  | ~ ( r1_filter_1 @ SY400 @ SY401 )
                  | ( r1_filter_1 @ SV24 @ SY401 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8415]) ).

thf(8662,plain,
    ! [SV25: $i] :
      ( ( ( v10_lattices @ SV25 )
        = $false )
      | ( ( v3_struct_0 @ SV25 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV25 ) )
        = $true )
      | ( ( ! [SY402: $i] :
              ( ( v3_struct_0 @ SY402 )
              | ~ ( v10_lattices @ SY402 )
              | ~ ( l3_lattices @ SY402 )
              | ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SY402 ) )
                = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SY402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8416]) ).

thf(8663,plain,
    ! [SV26: $i] :
      ( ( ( v10_lattices @ SV26 )
        = $false )
      | ( ( v3_struct_0 @ SV26 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV26 ) )
        = $true )
      | ( ( ! [SY403: $i] :
              ( ( v3_struct_0 @ SY403 )
              | ~ ( v10_lattices @ SY403 )
              | ~ ( l3_lattices @ SY403 )
              | ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SY403 ) @ ( k8_filter_1 @ SY403 @ SV26 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8417]) ).

thf(8664,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( ( v3_struct_0 @ SV27 )
          | ~ ( v10_lattices @ SV27 )
          | ~ ( l3_lattices @ SV27 )
          | ( v3_struct_0 @ SV173 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV27 @ SV173 )
          | ( r1_filter_1 @ SV173 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8418]) ).

thf(8665,plain,
    ! [SV211: $i,SV28: $i] :
      ( ( ( ( v3_struct_0 @ SV28 )
          | ~ ( v10_lattices @ SV28 )
          | ~ ( l3_lattices @ SV28 )
          | ( v3_struct_0 @ SV211 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV211 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV211 ) )
        = $true )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8419]) ).

thf(8666,plain,
    ! [SV212: $i,SV174: $i,SV29: $i] :
      ( ( ( ( v3_struct_0 @ SV29 )
          | ~ ( v10_lattices @ SV29 )
          | ~ ( l3_lattices @ SV29 )
          | ~ ( m1_filter_0 @ SV174 @ SV29 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV212 @ SV29 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SV212 ) @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8420]) ).

thf(8667,plain,
    ! [SV213: $i,SV175: $i,SV30: $i] :
      ( ( ( ( v3_struct_0 @ SV30 )
          | ~ ( v10_lattices @ SV30 )
          | ~ ( l3_lattices @ SV30 )
          | ~ ( m1_filter_0 @ SV175 @ SV30 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV213 @ SV30 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV30 @ SV175 @ SV213 )
          = ( k1_filter_1 @ SV30 @ SV213 @ SV175 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8421]) ).

thf(8668,plain,
    ! [SV176: $i,SV31: $i] :
      ( ( ( ( v3_struct_0 @ SV31 )
          | ~ ( v10_lattices @ SV31 )
          | ~ ( l3_lattices @ SV31 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV176 @ SV31 ) )
        = $true )
      | ( ( ! [SY411: $i] :
              ~ ( m1_filter_0 @ SY411 @ SV31 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8422]) ).

thf(8669,plain,
    ! [SV32: $i] :
      ( ( ( v10_lattices @ SV32 )
        = $false )
      | ( ( v3_struct_0 @ SV32 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV32 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k9_filter_1 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8423]) ).

thf(8670,plain,
    ! [SV33: $i] :
      ( ( ( v10_lattices @ SV33 )
        = $false )
      | ( ( v3_struct_0 @ SV33 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV33 ) )
        = $true )
      | ( ( ( k9_filter_1 @ SV33 )
          = ( a_1_0_filter_1 @ SV33 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8424]) ).

thf(8671,plain,
    ! [SV34: $i] :
      ( ( ( v2_pre_topc @ SV34 )
        = $false )
      | ( ( v3_struct_0 @ SV34 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV34 ) )
        = $true )
      | ( ( m1_borsuk_1 @ ( k15_borsuk_1 @ SV34 ) @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8425]) ).

thf(8672,plain,
    ! [SV35: $i] :
      ( ( ( v2_pre_topc @ SV35 )
        = $false )
      | ( ( v3_struct_0 @ SV35 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV35 ) )
        = $true )
      | ( ( m1_borsuk_1 @ ( sK54_B @ SV35 ) @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8426]) ).

thf(8673,plain,
    ! [SV36: $i] :
      ( ( ( v10_lattices @ SV36 )
        = $false )
      | ( ( v3_struct_0 @ SV36 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV36 ) )
        = $true )
      | ( ( v2_filter_0 @ ( k1_filter_0 @ SV36 ) @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8427]) ).

thf(8674,plain,
    ! [SV37: $i] :
      ( ( ( v10_lattices @ SV37 )
        = $false )
      | ( ( v3_struct_0 @ SV37 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV37 ) )
        = $true )
      | ( ( m2_lattice4 @ ( u1_struct_0 @ SV37 ) @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8428]) ).

thf(8675,plain,
    ! [SV38: $i] :
      ( ( ( v10_lattices @ SV38 )
        = $false )
      | ( ( v3_struct_0 @ SV38 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV38 ) )
        = $true )
      | ( ( ! [SY412: $i] :
              ( ~ ( m1_filter_0 @ SY412 @ SV38 )
              | ( m2_lattice4 @ SY412 @ SV38 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8429]) ).

thf(8676,plain,
    ! [SV39: $i] :
      ( ( ( v3_struct_0 @ SV39 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV39 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV39 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV39 ) )
        = $true )
      | ( ( m3_lattice4 @ ( u1_struct_0 @ SV39 ) @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8430]) ).

thf(8677,plain,
    ! [SV40: $i] :
      ( ( ( v3_struct_0 @ SV40 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV40 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV40 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV40 ) )
        = $true )
      | ( ( ! [SY413: $i] :
              ( ~ ( m3_lattice4 @ SY413 @ SV40 )
              | ( m2_lattice4 @ SY413 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8431]) ).

thf(8678,plain,
    ! [SV177: $i,SV41: $i] :
      ( ( ( ( v3_struct_0 @ SV41 )
          | ~ ( v10_lattices @ SV41 )
          | ~ ( l3_lattices @ SV41 )
          | ( v3_struct_0 @ SV177 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV177 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV177 ) )
        = $true )
      | ( ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8432]) ).

thf(8679,plain,
    ! [SV42: $i] :
      ( ( ( v10_lattices @ SV42 )
        = $false )
      | ( ( v3_struct_0 @ SV42 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV42 ) )
        = $true )
      | ( ( m2_lattice4 @ ( sK50_B @ SV42 ) @ SV42 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8433]) ).

thf(8680,plain,
    ! [SV43: $i] :
      ( ( ( v3_struct_0 @ SV43 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV43 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV43 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV43 ) )
        = $true )
      | ( ( m3_lattice4 @ ( sK49_B @ SV43 ) @ SV43 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8434]) ).

thf(8681,plain,
    ! [SV44: $i] :
      ( ( ( ( v3_struct_0 @ SV44 )
          | ~ ( v10_lattices @ SV44 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV44 ) )
        = $true )
      | ( ( v3_realset2 @ SV44 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV44 ) )
        = $true )
      | ( ( ( k9_lopclset @ SV44 )
          = ( k8_lopclset @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8435]) ).

thf(8682,plain,
    ! [SV45: $i] :
      ( ( ( ( v3_struct_0 @ SV45 )
          | ~ ( v10_lattices @ SV45 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV45 ) )
        = $true )
      | ( ( v3_realset2 @ SV45 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV45 ) )
        = $true )
      | ( ( ( k13_lopclset @ SV45 )
          = ( k8_lopclset @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8436]) ).

thf(8683,plain,
    ! [SV47: $i] :
      ( ( ( v2_pre_topc @ SV47 )
        = $false )
      | ( ( v3_struct_0 @ SV47 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV47 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k1_lopclset @ SV47 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8438]) ).

thf(8684,plain,
    ! [SV48: $i] :
      ( ( ( v2_pre_topc @ SV48 )
        = $false )
      | ( ( v3_struct_0 @ SV48 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV48 ) )
        = $true )
      | ( ( ( u1_struct_0 @ ( k6_lopclset @ SV48 ) )
          = ( k1_lopclset @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8439]) ).

thf(8685,plain,
    ! [SV49: $i] :
      ( ( ( v2_pre_topc @ SV49 )
        = $false )
      | ( ( v3_struct_0 @ SV49 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV49 ) )
        = $true )
      | ( ( v17_lattices @ ( k6_lopclset @ SV49 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8440]) ).

thf(8686,plain,
    ! [SV50: $i] :
      ( ( ( ( v3_struct_0 @ SV50 )
          | ~ ( v10_lattices @ SV50 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV50 ) )
        = $true )
      | ( ( v3_realset2 @ SV50 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV50 ) )
        = $true )
      | ( ( ( k7_lopclset @ SV50 )
          = ( a_1_1_lopclset @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8441]) ).

thf(8687,plain,
    ! [SV51: $i] :
      ( ( ( ( v3_struct_0 @ SV51 )
          | ~ ( v10_lattices @ SV51 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV51 ) )
        = $true )
      | ( ( v3_realset2 @ SV51 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV51 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV51 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8442]) ).

thf(8688,plain,
    ! [SV52: $i] :
      ( ( ( ( v3_struct_0 @ SV52 )
          | ~ ( v10_lattices @ SV52 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV52 ) )
        = $true )
      | ( ( v3_realset2 @ SV52 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV52 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k10_lopclset @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8443]) ).

thf(8689,plain,
    ! [SV53: $i] :
      ( ( ( ( v3_struct_0 @ SV53 )
          | ~ ( v10_lattices @ SV53 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV53 ) )
        = $true )
      | ( ( v3_realset2 @ SV53 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV53 ) )
        = $true )
      | ( ( ( k12_lopclset @ SV53 )
          = ( k6_lopclset @ ( k11_lopclset @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8444]) ).

thf(8690,plain,
    ! [SV54: $i] :
      ( ( ( ( v3_struct_0 @ SV54 )
          | ~ ( v10_lattices @ SV54 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV54 ) )
        = $true )
      | ( ( v3_realset2 @ SV54 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV54 ) )
        = $true )
      | ( ( v2_funct_1 @ ( k9_lopclset @ SV54 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8445]) ).

thf(8691,plain,
    ! [SV55: $i] :
      ( ( ( ( v3_struct_0 @ SV55 )
          | ~ ( v10_lattices @ SV55 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV55 ) )
        = $true )
      | ( ( v3_realset2 @ SV55 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV55 ) )
        = $true )
      | ( ( r1_filter_1 @ SV55 @ ( k12_lopclset @ SV55 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8446]) ).

thf(8692,plain,
    ! [SV59: $i,SV178: $i] :
      ( ( ( v1_xboole_0 @ SV178 )
        = $false )
      | ( ( r2_hidden @ SV59 @ SV178 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8449]) ).

thf(8693,plain,
    ! [SV179: $i,SV60: $i] :
      ( ( ( v1_xboole_0 @ SV60 )
        = $false )
      | ( ( SV60 = SV179 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV179 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8450]) ).

thf(8694,plain,
    ! [SV182: $i,SV65: $i] :
      ( ( ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV65 @ SV182 ) )
        = $false )
      | ( ( v1_xboole_0 @ SV182 )
        = $true )
      | ( ( v1_xboole_0 @ SV65 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8451]) ).

thf(8695,plain,
    ! [SV216: $i,SV183: $i,SV66: $i] :
      ( ( ( ( v1_xboole_0 @ SV66 )
          | ( v1_xboole_0 @ SV183 ) )
        = $true )
      | ( ( v1_xboole_0 @ SV216 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV66 @ SV183 @ SV216 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8452]) ).

thf(8696,plain,
    ! [SV223: $i,SV217: $i,SV184: $i,SV67: $i] :
      ( ( ( ( v1_xboole_0 @ SV67 )
          | ( v1_xboole_0 @ SV184 )
          | ( v1_xboole_0 @ SV217 )
          | ( v1_xboole_0 @ SV223 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV67 @ SV184 @ SV217 @ SV223 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8453]) ).

thf(8697,plain,
    ! [SV185: $i,SV68: $i] :
      ( ( ( ~ ( r1_subset_1 @ SV68 @ SV185 ) )
        = $true )
      | ( ( r1_subset_1 @ SV185 @ SV68 )
        = $true )
      | ( ( v1_xboole_0 @ SV185 )
        = $true )
      | ( ( v1_xboole_0 @ SV68 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8454]) ).

thf(8698,plain,
    ! [SV224: $i,SV69: $i] :
      ( ( ( r1_subset_1 @ SV69 @ SV69 )
        = $false )
      | ( ( v1_xboole_0 @ SV69 )
        = $true )
      | ( ( v1_xboole_0 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8455]) ).

thf(8699,plain,
    ! [SV186: $i,SV70: $i] :
      ( ( ( ~ ( r2_subset_1 @ SV70 @ SV186 ) )
        = $true )
      | ( ( r2_subset_1 @ SV186 @ SV70 )
        = $true )
      | ( ( v1_xboole_0 @ SV186 )
        = $true )
      | ( ( v1_xboole_0 @ SV70 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8456]) ).

thf(8700,plain,
    ! [SV225: $i,SV71: $i] :
      ( ( ( r2_subset_1 @ SV71 @ SV71 )
        = $false )
      | ( ( v1_xboole_0 @ SV71 )
        = $true )
      | ( ( v1_xboole_0 @ SV225 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8457]) ).

thf(8701,plain,
    ! [SV187: $i,SV73: $i] :
      ( ( ( v1_relat_1 @ SV73 )
        = $false )
      | ( ( ~ ( v1_relat_1 @ SV187 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k3_xboole_0 @ SV73 @ SV187 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8458]) ).

thf(8702,plain,
    ! [SV188: $i,SV74: $i] :
      ( ( ( v1_relat_1 @ SV74 )
        = $false )
      | ( ( ~ ( v1_relat_1 @ SV188 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k2_xboole_0 @ SV74 @ SV188 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8459]) ).

thf(8703,plain,
    ! [SV189: $i,SV75: $i] :
      ( ( ( v1_relat_1 @ SV75 )
        = $false )
      | ( ( ~ ( v1_relat_1 @ SV189 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k4_xboole_0 @ SV75 @ SV189 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8460]) ).

thf(8704,plain,
    ! [SV77: $i] :
      ( ( ( v1_xboole_0 @ ( k1_relat_1 @ SV77 ) )
        = $false )
      | ( ( v1_xboole_0 @ SV77 )
        = $true )
      | ( ( v1_relat_1 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8461]) ).

thf(8705,plain,
    ! [SV78: $i] :
      ( ( ( v1_xboole_0 @ ( k2_relat_1 @ SV78 ) )
        = $false )
      | ( ( v1_xboole_0 @ SV78 )
        = $true )
      | ( ( v1_relat_1 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8462]) ).

thf(8706,plain,
    ! [SV190: $i,SV79: $i] :
      ( ( ( ~ ( r1_tarski @ SV79 @ SV190 ) )
        = $true )
      | ( ( v1_relat_1 @ SV79 )
        = $true )
      | ( ( v1_relat_1 @ SV190 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[8463]) ).

thf(8707,plain,
    ! [SV83: $i,SV226: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV226 ) )
        = $true )
      | ( ( ! [SY561: $i] :
              ( ~ ( v1_relat_1 @ SY561 )
              | ( ( k5_relat_1 @ ( k5_relat_1 @ SV83 @ SV226 ) @ SY561 )
                = ( k5_relat_1 @ SV83 @ ( k5_relat_1 @ SV226 @ SY561 ) ) ) ) )
        = $true )
      | ( ( v1_relat_1 @ SV83 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[8466]) ).

thf(8708,plain,
    ! [SV196: $i,SV88: $i] :
      ( ( ( v1_relat_1 @ SV88 )
        = $false )
      | ( ( ~ ( v1_relat_1 @ SV196 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV88 @ SV196 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8469]) ).

thf(8709,plain,
    ! [SV101: $i,SV218: $i] :
      ( ( ( m1_eqrel_1 @ SV218 @ SV101 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ SV218 ) )
        = $true )
      | ( ( v1_xboole_0 @ SV101 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8473]) ).

thf(8710,plain,
    ! [SV200: $i,SV104: $i] :
      ( ( ( v1_relat_1 @ SV104 )
        = $false )
      | ( ( ~ ( v1_relat_1 @ SV200 ) )
        = $true )
      | ( ( ~ ( r1_rfinseq @ SV104 @ SV200 )
          | ( r1_rfinseq @ SV200 @ SV104 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8475]) ).

thf(8711,plain,
    ! [SV105: $i,SV297: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV297 ) )
        = $true )
      | ( ( v1_relat_1 @ SV105 )
        = $false )
      | ( ( r1_rfinseq @ SV105 @ SV105 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[8476]) ).

thf(8712,plain,
    ! [SV106: $i] :
      ( ( ( v1_xboole_0 @ ( u1_struct_0 @ SV106 ) )
        = $false )
      | ( ( v3_struct_0 @ SV106 )
        = $true )
      | ( ( l1_struct_0 @ SV106 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8477]) ).

thf(8713,plain,
    ! [SV110: $i] :
      ( ( ( v1_xboole_0 @ ( k2_pre_topc @ SV110 ) )
        = $false )
      | ( ( v3_struct_0 @ SV110 )
        = $true )
      | ( ( l1_struct_0 @ SV110 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8478]) ).

thf(8714,plain,
    ! [SV120: $i,SV229: $i] :
      ( ( ( ~ ( l4_vectsp_1 @ SV229 @ SV120 ) )
        = $true )
      | ( ( l1_rlvect_1 @ SV229 )
        = $true )
      | ( ( l1_struct_0 @ SV120 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[8479]) ).

thf(8715,plain,
    ! [SV122: $i] :
      ( ( ( v3_struct_0 @ SV122 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV122 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV122 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV122 ) )
        = $true )
      | ( ( ! [SY452: $i] :
              ( ~ ( m1_filter_0 @ SY452 @ SV122 )
              | ! [SY453: $i] :
                  ( ~ ( m1_filter_0 @ SY453 @ SV122 )
                  | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SY452 @ SY453 ) )
                    = ( k7_filter_0 @ SV122 @ SY452 @ SY453 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8480]) ).

thf(8716,plain,
    ! [SV123: $i] :
      ( ( ( v3_struct_0 @ SV123 )
        = $true )
      | ( ( ~ ( v3_lattices @ SV123 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV123 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV123 ) )
        = $true )
      | ( ( ( k8_filter_0 @ SV123 @ ( k1_filter_0 @ SV123 ) )
          = SV123 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8481]) ).

thf(8717,plain,
    ! [SV124: $i] :
      ( ( ( v10_lattices @ SV124 )
        = $false )
      | ( ( v3_struct_0 @ SV124 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV124 ) )
        = $true )
      | ( ( ! [SY454: $i] :
              ( ~ ( m1_filter_0 @ SY454 @ SV124 )
              | ~ ( v14_lattices @ SV124 )
              | ( v14_lattices @ ( k8_filter_0 @ SV124 @ SY454 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8482]) ).

thf(8718,plain,
    ! [SV125: $i] :
      ( ( ( v10_lattices @ SV125 )
        = $false )
      | ( ( v3_struct_0 @ SV125 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV125 ) )
        = $true )
      | ( ( ! [SY455: $i] :
              ( ~ ( m1_filter_0 @ SY455 @ SV125 )
              | ~ ( v12_lattices @ SV125 )
              | ( v12_lattices @ ( k8_filter_0 @ SV125 @ SY455 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8483]) ).

thf(8719,plain,
    ! [SV126: $i] :
      ( ( ( v10_lattices @ SV126 )
        = $false )
      | ( ( v3_struct_0 @ SV126 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV126 ) )
        = $true )
      | ( ( ! [SY456: $i] :
              ( ~ ( m1_filter_0 @ SY456 @ SV126 )
              | ~ ( v11_lattices @ SV126 )
              | ( v11_lattices @ ( k8_filter_0 @ SV126 @ SY456 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8484]) ).

thf(8720,plain,
    ! [SV127: $i] :
      ( ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV127 ) )
        = $true )
      | ( ( ! [SY457: $i] :
              ( ~ ( m1_filter_0 @ SY457 @ SV127 )
              | ( v3_struct_0 @ SV127 )
              | ~ ( v10_lattices @ SV127 )
              | ~ ( v3_filter_0 @ SV127 )
              | ~ ( l3_lattices @ SV127 )
              | ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SY457 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8485]) ).

thf(8721,plain,
    ! [SV219: $i,SV201: $i,SV128: $i] :
      ( ( ( ( v3_struct_0 @ SV128 )
          | ~ ( v10_lattices @ SV128 )
          | ~ ( v11_lattices @ SV128 )
          | ~ ( l3_lattices @ SV128 )
          | ~ ( m1_filter_0 @ SV201 @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV219 @ SV128 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8486]) ).

thf(8722,plain,
    ! [SV220: $i,SV202: $i,SV129: $i] :
      ( ( ( ( v3_struct_0 @ SV129 )
          | ~ ( v10_lattices @ SV129 )
          | ~ ( v17_lattices @ SV129 )
          | ~ ( l3_lattices @ SV129 )
          | ~ ( m1_filter_0 @ SV202 @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV220 @ SV129 ) )
        = $true )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8487]) ).

thf(8723,plain,
    ! [SV203: $i,SV130: $i] :
      ( ( ( ( v3_struct_0 @ SV130 )
          | ~ ( v10_lattices @ SV130 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV130 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV203 @ SV130 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k10_filter_0 @ SV130 @ SV203 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8488]) ).

thf(8724,plain,
    ! [SV131: $i] :
      ( ( ( v10_lattices @ SV131 )
        = $false )
      | ( ( v3_struct_0 @ SV131 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV131 ) )
        = $true )
      | ( ( ! [SY463: $i] :
              ( ~ ( m1_filter_0 @ SY463 @ SV131 )
              | ! [SY464: $i] :
                  ( ~ ( m1_filter_0 @ SY464 @ SV131 )
                  | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SY463 @ SY464 ) @ SV131 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8489]) ).

thf(8725,plain,
    ! [SV132: $i] :
      ( ( ( v3_struct_0 @ SV132 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV132 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV132 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV132 ) )
        = $true )
      | ( ( ! [SY465: $i] :
              ( ~ ( m1_filter_0 @ SY465 @ SV132 )
              | ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SY465 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8490]) ).

thf(8726,plain,
    ! [SV133: $i,SV204: $i] :
      ( ( ( v1_relat_1 @ SV204 )
        = $false )
      | ( ( v1_xboole_0 @ SV133 )
        = $true )
      | ( ( m1_filter_1 @ ( sK10_C @ SV204 @ SV133 ) @ SV133 @ SV204 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8491]) ).

thf(8727,plain,
    ! [SV134: $i,SV205: $i] :
      ( ( ( v1_relat_1 @ SV205 )
        = $false )
      | ( ( v1_xboole_0 @ SV134 )
        = $true )
      | ( ( m2_filter_1 @ ( sK9_C @ SV205 @ SV134 ) @ SV134 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8492]) ).

thf(8728,plain,
    ! [SV221: $i,SV206: $i,SV135: $i] :
      ( ( ( ( v3_struct_0 @ SV135 )
          | ~ ( v10_lattices @ SV135 )
          | ~ ( l3_lattices @ SV135 )
          | ~ ( m1_filter_0 @ SV206 @ SV135 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV221 @ SV135 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV135 @ SV206 @ SV221 )
          = ( k3_xboole_0 @ SV206 @ SV221 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8493]) ).

thf(8729,plain,
    ! [SV136: $i,SV230: $i] :
      ( ( ( ~ ( m1_pre_topc @ SV230 @ SV136 ) )
        = $true )
      | ( ( r1_tarski @ ( u1_struct_0 @ SV230 ) @ ( u1_struct_0 @ SV136 ) )
        = $true )
      | ( ( l1_pre_topc @ SV136 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[8494]) ).

thf(8730,plain,
    ! [SV207: $i,SV138: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV138 ) )
        = $true )
      | ( ( v3_struct_0 @ SV207 )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV207 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k17_grcat_1 @ SV138 @ SV207 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8495]) ).

thf(8731,plain,
    ! [SV208: $i,SV139: $i] :
      ( ( ( l1_struct_0 @ SV139 )
        = $false )
      | ( ( ~ ( l1_struct_0 @ SV208 ) )
        = $true )
      | ( ( m5_grcat_1 @ ( sK3_C @ SV208 @ SV139 ) @ SV139 @ SV208 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8496]) ).

thf(8732,plain,
    ! [SV140: $i] :
      ( ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV140 ) )
        = $true )
      | ( ( ! [SY473: $i] :
              ( ( v3_struct_0 @ SY473 )
              | ~ ( v10_lattices @ SY473 )
              | ~ ( v11_lattices @ SY473 )
              | ~ ( l3_lattices @ SY473 )
              | ! [SY474: $i] :
                  ( ~ ( m1_lattice4 @ SY474 @ SY473 @ SV140 )
                  | ~ ( v2_lattice4 @ SY474 @ SY473 @ SV140 )
                  | ( v11_lattices @ SV140 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8497]) ).

thf(8733,plain,
    ! [SV141: $i] :
      ( ( ( ( v3_struct_0 @ SV141 )
          | ~ ( v10_lattices @ SV141 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV141 ) )
        = $true )
      | ( ( v3_realset2 @ SV141 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV141 ) )
        = $true )
      | ( ( m1_lattice4 @ ( k13_lopclset @ SV141 ) @ SV141 @ ( k12_lopclset @ SV141 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8498]) ).

thf(8734,plain,
    ! [SV142: $i] :
      ( ( ( v2_pre_topc @ SV142 )
        = $false )
      | ( ( v3_struct_0 @ SV142 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV142 ) )
        = $true )
      | ( ( m1_subset_1 @ ( k2_pre_topc @ SV142 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8499]) ).

thf(8735,plain,
    ! [SV143: $i] :
      ( ( ( v2_pre_topc @ SV143 )
        = $false )
      | ( ( v3_struct_0 @ SV143 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV143 ) )
        = $true )
      | ( ( m1_subset_1 @ ( k1_pre_topc @ SV143 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV143 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8500]) ).

thf(8736,plain,
    ! [SV144: $i] :
      ( ( ( ( v3_struct_0 @ SV144 )
          | ~ ( v10_lattices @ SV144 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV144 ) )
        = $true )
      | ( ( v3_realset2 @ SV144 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV144 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV144 )
          = ( k2_relat_1 @ ( k9_lopclset @ SV144 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8501]) ).

thf(8737,plain,
    ! [SV145: $i] :
      ( ( ( ( v3_struct_0 @ SV145 )
          | ~ ( v10_lattices @ SV145 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV145 ) )
        = $true )
      | ( ( v3_realset2 @ SV145 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV145 ) )
        = $true )
      | ( ( ( k3_tarski @ ( k10_lopclset @ SV145 ) )
          = ( k7_lopclset @ SV145 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8502]) ).

thf(8738,plain,
    ! [SV146: $i] :
      ( ( ( ( v3_struct_0 @ SV146 )
          | ~ ( v10_lattices @ SV146 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV146 ) )
        = $true )
      | ( ( v3_realset2 @ SV146 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV146 ) )
        = $true )
      | ( ( r1_tarski @ ( k10_lopclset @ SV146 ) @ ( k1_lopclset @ ( k11_lopclset @ SV146 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8503]) ).

thf(8739,plain,
    ! [SV147: $i] :
      ( ( ( ( v3_struct_0 @ SV147 )
          | ~ ( v10_lattices @ SV147 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV147 ) )
        = $true )
      | ( ( v3_realset2 @ SV147 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV147 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV147 )
          = ( k1_lopclset @ ( k11_lopclset @ SV147 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8504]) ).

thf(8740,plain,
    ! [SV148: $i] :
      ( ( ( ( v3_struct_0 @ SV148 )
          | ~ ( v10_lattices @ SV148 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV148 ) )
        = $true )
      | ( ( v3_realset2 @ SV148 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV148 ) )
        = $true )
      | ( ( ( k2_relat_1 @ ( k13_lopclset @ SV148 ) )
          = ( u1_struct_0 @ ( k12_lopclset @ SV148 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8505]) ).

thf(8741,plain,
    ! [SV149: $i] :
      ( ( ( ( v3_struct_0 @ SV149 )
          | ~ ( v10_lattices @ SV149 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV149 ) )
        = $true )
      | ( ( v3_realset2 @ SV149 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV149 ) )
        = $true )
      | ( ( v3_lattice4 @ ( k13_lopclset @ SV149 ) @ SV149 @ ( k12_lopclset @ SV149 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8506]) ).

thf(8742,plain,
    ! [SV150: $i] :
      ( ( ( v2_pre_topc @ SV150 )
        = $false )
      | ( ( v3_struct_0 @ SV150 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV150 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8507]) ).

thf(8743,plain,
    ! [SV151: $i] :
      ( ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV151 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY475: $i] :
                    ( ( v3_struct_0 @ SY475 )
                    | ~ ( v10_lattices @ SY475 )
                    | ~ ( l3_lattices @ SY475 )
                    | ~ ( v12_lattices @ SV151 )
                    | ~ ( v12_lattices @ SY475 )
                    | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY475 ) ) )
              | ~ ~ ( ~ ! [SY476: $i] :
                          ( ( v3_struct_0 @ SY476 )
                          | ~ ( v10_lattices @ SY476 )
                          | ~ ( l3_lattices @ SY476 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                          | ( v12_lattices @ SV151 ) )
                    | ~ ! [SY477: $i] :
                          ( ( v3_struct_0 @ SY477 )
                          | ~ ( v10_lattices @ SY477 )
                          | ~ ( l3_lattices @ SY477 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                          | ( v12_lattices @ SY477 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8509]) ).

thf(8744,plain,
    ! [SV152: $i] :
      ( ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV152 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY478: $i] :
                    ( ( v3_struct_0 @ SY478 )
                    | ~ ( v10_lattices @ SY478 )
                    | ~ ( l3_lattices @ SY478 )
                    | ~ ( r1_filter_1 @ SV152 @ SY478 )
                    | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY478 ) ) )
              | ~ ! [SY479: $i] :
                    ( ( v3_struct_0 @ SY479 )
                    | ~ ( v10_lattices @ SY479 )
                    | ~ ( l3_lattices @ SY479 )
                    | ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY479 ) )
                    | ( r1_filter_1 @ SV152 @ SY479 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8510]) ).

thf(8745,plain,
    ! [SV153: $i] :
      ( ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV153 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY480: $i] :
                    ( ~ ( m1_borsuk_1 @ SY480 @ SV153 )
                    | ~ ( v1_xboole_0 @ SY480 ) )
              | ~ ! [SY481: $i] :
                    ( ~ ( m1_borsuk_1 @ SY481 @ SV153 )
                    | ( m1_eqrel_1 @ SY481 @ ( u1_struct_0 @ SV153 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8513]) ).

thf(8746,plain,
    ( ( ~ ( v1_relat_1 @ sK41_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8514]) ).

thf(8747,plain,
    ( ( ~ ( v1_xboole_0 @ sK41_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8514]) ).

thf(8748,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8515]) ).

thf(8749,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8515]) ).

thf(8750,plain,
    ! [SV231: $i] :
      ( ( ( ( v3_struct_0 @ SV231 )
          | ~ ( v10_lattices @ SV231 )
          | ~ ( v17_lattices @ SV231 )
          | ( v3_realset2 @ SV231 )
          | ~ ( l3_lattices @ SV231 ) )
        = $true )
      | ( ( l3_lattices @ ( k12_lopclset @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8516]) ).

thf(8751,plain,
    ! [SV232: $i] :
      ( ( ( ~ ( l3_vectsp_1 @ SV232 ) )
        = $true )
      | ( ( l1_rlvect_1 @ SV232 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8517]) ).

thf(8752,plain,
    ! [SV233: $i] :
      ( ( ( ~ ( l3_vectsp_1 @ SV233 ) )
        = $true )
      | ( ( l2_vectsp_1 @ SV233 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8518]) ).

thf(8753,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8519]) ).

thf(8754,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ( v3_struct_0 @ SX1 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8519]) ).

thf(8755,plain,
    ! [SV298: $i,SV234: $i] :
      ( ( ( v3_struct_0 @ SV234 )
        | ~ ( v2_pre_topc @ SV234 )
        | ~ ( l1_pre_topc @ SV234 )
        | ( v3_struct_0 @ SV298 )
        | ~ ( v2_pre_topc @ SV298 )
        | ~ ( l1_pre_topc @ SV298 )
        | ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8520]) ).

thf(8756,plain,
    ! [SV154: $i] :
      ( ( ( ~ ( m1_pre_topc @ ( sK69_B @ SV154 ) @ SV154 ) )
        = $false )
      | ( ( l1_pre_topc @ SV154 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[8521]) ).

thf(8757,plain,
    ! [SV154: $i] :
      ( ( ( ~ ( v1_pre_topc @ ( sK69_B @ SV154 ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV154 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[8521]) ).

thf(8758,plain,
    ( ( ~ ( l1_rlvect_1 @ sK58_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8522]) ).

thf(8759,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK58_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8522]) ).

thf(8760,plain,
    ( ( ~ ~ ( ~ ( l1_pre_topc @ sK70_A )
            | ~ ~ ( v3_struct_0 @ sK70_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8523]) ).

thf(8761,plain,
    ( ( ~ ( v1_pre_topc @ sK70_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8523]) ).

thf(8762,plain,
    ! [SV235: $i,SV299: $i] :
      ( ( ~ ( v1_relat_1 @ SV299 )
        | ~ ( v1_xboole_0 @ SV235 )
        | ( v1_relat_1 @ ( k5_relat_1 @ SV299 @ SV235 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8524]) ).

thf(8763,plain,
    ! [SV236: $i,SV300: $i] :
      ( ( ~ ( v1_relat_1 @ SV300 )
        | ~ ( v1_xboole_0 @ SV236 )
        | ( v1_xboole_0 @ ( k5_relat_1 @ SV300 @ SV236 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8525]) ).

thf(8764,plain,
    ! [SV155: $i] :
      ( ( ( v2_pre_topc @ SV155 )
        = $false )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 )
                    | ~ ( v1_pre_topc @ ( sK67_B @ SV155 ) ) )
              | ~ ( v2_pre_topc @ ( sK67_B @ SV155 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8526]) ).

thf(8765,plain,
    ! [SV237: $i] :
      ( ( ( ( SV237 != k1_xboole_0 ) )
        = $true )
      | ( ( v1_xboole_0 @ SV237 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8527]) ).

thf(8766,plain,
    ! [SV238: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV238 ) )
        = $true )
      | ( ( SV238 = k1_xboole_0 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8528]) ).

thf(8767,plain,
    ( ( ~ ( l1_vectsp_1 @ sK61_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8529]) ).

thf(8768,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK61_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8529]) ).

thf(8769,plain,
    ! [SV239: $i] :
      ( ( ( ( v3_struct_0 @ SV239 )
          | ~ ( l1_struct_0 @ SV239 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8530]) ).

thf(8770,plain,
    ! [SV240: $i] :
      ( ( ( ( v3_struct_0 @ SV240 )
          | ~ ( l1_struct_0 @ SV240 ) )
        = $true )
      | ( ( v1_setfam_1 @ ( k15_borsuk_1 @ SV240 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8531]) ).

thf(8771,plain,
    ! [SV156: $i] :
      ( ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV156 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY482: $i] :
                    ( ( v3_struct_0 @ SY482 )
                    | ~ ( v10_lattices @ SY482 )
                    | ~ ( l3_lattices @ SY482 )
                    | ! [SY483: $i] :
                        ( ~ ( m1_lattice4 @ SY483 @ SV156 @ SY482 )
                        | ~ ( v3_lattice4 @ SY483 @ SV156 @ SY482 ) )
                    | ( r1_filter_1 @ SV156 @ SY482 ) )
              | ~ ! [SY484: $i] :
                    ( ( v3_struct_0 @ SY484 )
                    | ~ ( v10_lattices @ SY484 )
                    | ~ ( l3_lattices @ SY484 )
                    | ~ ( r1_filter_1 @ SV156 @ SY484 )
                    | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 )
                        | ~ ( v3_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8532]) ).

thf(8772,plain,
    ( ( ~ ( v1_funct_1 @ sK40_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8533]) ).

thf(8773,plain,
    ( ( ~ ( v1_relat_1 @ sK40_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8533]) ).

thf(8774,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ~ ( v3_struct_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8534]) ).

thf(8775,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ( v13_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8534]) ).

thf(8776,plain,
    ! [SV241: $i] :
      ( ( ( ~ ( l3_lattices @ SV241 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV241 )
          | ~ ( v15_lattices @ SV241 )
          | ( v14_lattices @ SV241 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8535]) ).

thf(8777,plain,
    ! [SV157: $i] :
      ( ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                                      ( ( v3_struct_0 @ SY485 )
                                      | ~ ( v10_lattices @ SY485 )
                                      | ~ ( l3_lattices @ SY485 )
                                      | ( v3_struct_0 @ SV157 )
                                      | ~ ( v10_lattices @ SV157 )
                                      | ~ ( v17_lattices @ SV157 )
                                      | ~ ( l3_lattices @ SV157 )
                                      | ( v3_struct_0 @ SY485 )
                                      | ~ ( v10_lattices @ SY485 )
                                      | ~ ( v17_lattices @ SY485 )
                                      | ~ ( l3_lattices @ SY485 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                                | ~ ! [SY486: $i] :
                                      ( ( v3_struct_0 @ SY486 )
                                      | ~ ( v10_lattices @ SY486 )
                                      | ~ ( l3_lattices @ SY486 )
                                      | ( v3_struct_0 @ SV157 )
                                      | ~ ( v10_lattices @ SV157 )
                                      | ~ ( v17_lattices @ SV157 )
                                      | ~ ( l3_lattices @ SV157 )
                                      | ( v3_struct_0 @ SY486 )
                                      | ~ ( v10_lattices @ SY486 )
                                      | ~ ( v17_lattices @ SY486 )
                                      | ~ ( l3_lattices @ SY486 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                          | ~ ! [SY487: $i] :
                                ( ( v3_struct_0 @ SY487 )
                                | ~ ( v10_lattices @ SY487 )
                                | ~ ( l3_lattices @ SY487 )
                                | ( v3_struct_0 @ SV157 )
                                | ~ ( v10_lattices @ SV157 )
                                | ~ ( v17_lattices @ SV157 )
                                | ~ ( l3_lattices @ SV157 )
                                | ( v3_struct_0 @ SY487 )
                                | ~ ( v10_lattices @ SY487 )
                                | ~ ( v17_lattices @ SY487 )
                                | ~ ( l3_lattices @ SY487 )
                                | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
                    | ~ ! [SY488: $i] :
                          ( ( v3_struct_0 @ SY488 )
                          | ~ ( v10_lattices @ SY488 )
                          | ~ ( l3_lattices @ SY488 )
                          | ( v3_struct_0 @ SV157 )
                          | ~ ( v10_lattices @ SV157 )
                          | ~ ( v17_lattices @ SV157 )
                          | ~ ( l3_lattices @ SV157 )
                          | ( v3_struct_0 @ SY488 )
                          | ~ ( v10_lattices @ SY488 )
                          | ~ ( v17_lattices @ SY488 )
                          | ~ ( l3_lattices @ SY488 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                              ( ( v3_struct_0 @ SY489 )
                                                              | ~ ( v10_lattices @ SY489 )
                                                              | ~ ( l3_lattices @ SY489 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v3_struct_0 @ SV157 ) )
                                                        | ~ ! [SY490: $i] :
                                                              ( ( v3_struct_0 @ SY490 )
                                                              | ~ ( v10_lattices @ SY490 )
                                                              | ~ ( l3_lattices @ SY490 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ( v10_lattices @ SV157 ) ) )
                                                  | ~ ! [SY491: $i] :
                                                        ( ( v3_struct_0 @ SY491 )
                                                        | ~ ( v10_lattices @ SY491 )
                                                        | ~ ( l3_lattices @ SY491 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ( v17_lattices @ SV157 ) ) )
                                            | ~ ! [SY492: $i] :
                                                  ( ( v3_struct_0 @ SY492 )
                                                  | ~ ( v10_lattices @ SY492 )
                                                  | ~ ( l3_lattices @ SY492 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ( l3_lattices @ SV157 ) ) )
                                      | ~ ! [SY493: $i] :
                                            ( ( v3_struct_0 @ SY493 )
                                            | ~ ( v10_lattices @ SY493 )
                                            | ~ ( l3_lattices @ SY493 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v3_struct_0 @ SY493 ) ) )
                                | ~ ! [SY494: $i] :
                                      ( ( v3_struct_0 @ SY494 )
                                      | ~ ( v10_lattices @ SY494 )
                                      | ~ ( l3_lattices @ SY494 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ( v10_lattices @ SY494 ) ) )
                          | ~ ! [SY495: $i] :
                                ( ( v3_struct_0 @ SY495 )
                                | ~ ( v10_lattices @ SY495 )
                                | ~ ( l3_lattices @ SY495 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ( v17_lattices @ SY495 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ( v3_struct_0 @ SY496 )
                          | ~ ( v10_lattices @ SY496 )
                          | ~ ( l3_lattices @ SY496 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ( l3_lattices @ SY496 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8536]) ).

thf(8778,plain,
    ! [SV158: $i] :
      ( ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV158 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY497: $i] :
                    ( ( v3_struct_0 @ SY497 )
                    | ~ ( v10_lattices @ SY497 )
                    | ~ ( l3_lattices @ SY497 )
                    | ~ ( v3_filter_0 @ SV158 )
                    | ~ ( v3_filter_0 @ SY497 )
                    | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY497 ) ) )
              | ~ ~ ( ~ ! [SY498: $i] :
                          ( ( v3_struct_0 @ SY498 )
                          | ~ ( v10_lattices @ SY498 )
                          | ~ ( l3_lattices @ SY498 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                          | ( v3_filter_0 @ SV158 ) )
                    | ~ ! [SY499: $i] :
                          ( ( v3_struct_0 @ SY499 )
                          | ~ ( v10_lattices @ SY499 )
                          | ~ ( l3_lattices @ SY499 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                          | ( v3_filter_0 @ SY499 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8537]) ).

thf(8779,plain,
    ! [SV242: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV242 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k1_relat_1 @ SV242 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8539]) ).

thf(8780,plain,
    ! [SV243: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV243 ) )
        = $true )
      | ( ( v1_xboole_0 @ ( k1_relat_1 @ SV243 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8540]) ).

thf(8781,plain,
    ! [SV209: $i,SV159: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV159 ) )
        = $true )
      | ( ( v3_struct_0 @ SV209 )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV209 ) )
        = $true )
      | ( ( ~ ( ~ ( m5_grcat_1 @ ( sK4_C @ SV209 @ SV159 ) @ SV159 @ SV209 )
              | ~ ~ ( v1_xboole_0 @ ( sK4_C @ SV209 @ SV159 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8541]) ).

thf(8782,plain,
    ( ( ~ ( l3_lattices @ sK73_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8542]) ).

thf(8783,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK73_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8542]) ).

thf(8784,plain,
    ! [SV301: $i,SV244: $i] :
      ( ( ( v3_struct_0 @ SV244 )
        | ~ ( l3_lattices @ SV244 )
        | ( v3_struct_0 @ SV301 )
        | ~ ( l3_lattices @ SV301 )
        | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV244 @ SV301 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8543]) ).

thf(8785,plain,
    ! [SV302: $i,SV245: $i] :
      ( ( ( v3_struct_0 @ SV245 )
        | ~ ( l3_lattices @ SV245 )
        | ( v3_struct_0 @ SV302 )
        | ~ ( l3_lattices @ SV302 )
        | ( v3_lattices @ ( k8_filter_1 @ SV245 @ SV302 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8544]) ).

thf(8786,plain,
    ! [SV160: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                                        ( ( v3_struct_0 @ SY501 )
                                        | ~ ( l3_lattices @ SY501 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                        | ~ ( v3_struct_0 @ SV160 ) )
                                  | ~ ! [SY502: $i] :
                                        ( ( v3_struct_0 @ SY502 )
                                        | ~ ( l3_lattices @ SY502 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                        | ( v10_lattices @ SV160 ) ) )
                            | ~ ! [SY503: $i] :
                                  ( ( v3_struct_0 @ SY503 )
                                  | ~ ( l3_lattices @ SY503 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                  | ( l3_lattices @ SV160 ) ) )
                      | ~ ! [SY504: $i] :
                            ( ( v3_struct_0 @ SY504 )
                            | ~ ( l3_lattices @ SY504 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                            | ~ ( v3_struct_0 @ SY504 ) ) )
                | ~ ! [SY505: $i] :
                      ( ( v3_struct_0 @ SY505 )
                      | ~ ( l3_lattices @ SY505 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY505 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                      | ( v10_lattices @ SY505 ) ) )
          | ~ ! [SY506: $i] :
                ( ( v3_struct_0 @ SY506 )
                | ~ ( l3_lattices @ SY506 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY506 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                | ( l3_lattices @ SY506 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8545]) ).

thf(8787,plain,
    ! [SV246: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV246 ) )
        = $true )
      | ( ( ~ ( v1_realset1 @ ( u1_struct_0 @ SV246 ) )
          | ( v3_realset2 @ SV246 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8546]) ).

thf(8788,plain,
    ! [SV247: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV247 ) )
        = $true )
      | ( ( ~ ( v3_realset2 @ SV247 )
          | ( v1_realset1 @ ( u1_struct_0 @ SV247 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8547]) ).

thf(8789,plain,
    ! [SV303: $i,SV248: $i] :
      ( ( ( v3_struct_0 @ SV248 )
        | ~ ( l3_lattices @ SV248 )
        | ( v3_struct_0 @ SV303 )
        | ~ ( l3_lattices @ SV303 )
        | ( l3_lattices @ ( k8_filter_1 @ SV248 @ SV303 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8548]) ).

thf(8790,plain,
    ! [SV304: $i,SV249: $i] :
      ( ( ( v3_struct_0 @ SV249 )
        | ~ ( l3_lattices @ SV249 )
        | ( v3_struct_0 @ SV304 )
        | ~ ( l3_lattices @ SV304 )
        | ( v3_lattices @ ( k8_filter_1 @ SV249 @ SV304 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8549]) ).

thf(8791,plain,
    ! [SV250: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV250 ) )
        = $true )
      | ( ( ~ ( v1_finset_1 @ ( u1_struct_0 @ SV250 ) )
          | ( v6_group_1 @ SV250 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8550]) ).

thf(8792,plain,
    ! [SV251: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV251 ) )
        = $true )
      | ( ( ~ ( v6_group_1 @ SV251 )
          | ( v1_finset_1 @ ( u1_struct_0 @ SV251 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8551]) ).

thf(8793,plain,
    ! [SV161: $i] :
      ( ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY507: $i] :
                    ( ~ ( m1_filter_0 @ SY507 @ SV161 )
                    | ( SY507
                      = ( k1_filter_0 @ SV161 ) )
                    | ~ ( v2_filter_0 @ SY507 @ SV161 )
                    | ( v1_filter_0 @ SY507 @ SV161 ) )
              | ~ ~ ( ~ ! [SY508: $i] :
                          ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                          | ~ ( v1_filter_0 @ SY508 @ SV161 )
                          | ( SY508
                           != ( k1_filter_0 @ SV161 ) ) )
                    | ~ ! [SY509: $i] :
                          ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                          | ~ ( v1_filter_0 @ SY509 @ SV161 )
                          | ( v2_filter_0 @ SY509 @ SV161 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8553]) ).

thf(8794,plain,
    ( ( ~ ( l3_vectsp_1 @ sK13_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8554]) ).

thf(8795,plain,
    ( ( ~ ( v3_vectsp_1 @ sK13_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8554]) ).

thf(8796,plain,
    ( ( ~ ( l2_vectsp_1 @ sK60_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8557]) ).

thf(8797,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK60_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8557]) ).

thf(8798,plain,
    ! [SV252: $i] :
      ( ( ( ~ ( l3_lattices @ SV252 ) )
        = $true )
      | ( ( l1_lattices @ SV252 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8558]) ).

thf(8799,plain,
    ! [SV253: $i] :
      ( ( ( ~ ( l3_lattices @ SV253 ) )
        = $true )
      | ( ( l2_lattices @ SV253 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8559]) ).

thf(8800,plain,
    ! [SV254: $i] :
      ( ( ( ~ ( l3_lattices @ SV254 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV254 )
          | ~ ( v13_lattices @ SV254 )
          | ~ ( v14_lattices @ SV254 )
          | ~ ( v3_struct_0 @ SV254 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8560]) ).

thf(8801,plain,
    ! [SV255: $i] :
      ( ( ( ~ ( l3_lattices @ SV255 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV255 )
          | ~ ( v13_lattices @ SV255 )
          | ~ ( v14_lattices @ SV255 )
          | ( v15_lattices @ SV255 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8561]) ).

thf(8802,plain,
    ! [SV256: $i] :
      ( ( ( ( v3_struct_0 @ SV256 )
          | ~ ( v10_lattices @ SV256 )
          | ~ ( l3_lattices @ SV256 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k1_lattice2 @ SV256 ) )
          | ( v14_lattices @ SV256 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8563]) ).

thf(8803,plain,
    ! [SV257: $i] :
      ( ( ( ( v3_struct_0 @ SV257 )
          | ~ ( v10_lattices @ SV257 )
          | ~ ( l3_lattices @ SV257 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV257 )
          | ( v13_lattices @ ( k1_lattice2 @ SV257 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8564]) ).

thf(8804,plain,
    ! [SV258: $i] :
      ( ( ( ( v3_struct_0 @ SV258 )
          | ~ ( l3_lattices @ SV258 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV258 )
          | ~ ( v14_lattices @ SV258 )
          | ( v15_lattices @ SV258 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8565]) ).

thf(8805,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ( v13_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8566]) ).

thf(8806,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v15_lattices @ SX0 )
            | ( v14_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8566]) ).

thf(8807,plain,
    ! [SV259: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV259 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV259 ) )
          | ( v3_struct_0 @ SV259 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8567]) ).

thf(8808,plain,
    ! [SV260: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV260 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV260 )
          | ( v1_xboole_0 @ ( u1_struct_0 @ SV260 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8568]) ).

thf(8809,plain,
    ! [SV162: $i] :
      ( ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY510: $i] :
                                ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                          | ~ ! [SY511: $i] :
                                ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                                | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
                    | ~ ! [SY512: $i] :
                          ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                          | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
              | ~ ! [SY513: $i] :
                    ( ~ ( m1_filter_0 @ SY513 @ SV162 )
                    | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8570]) ).

thf(8810,plain,
    ! [SV163: $i] :
      ( ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV163 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                                | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                          | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
                    | ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK7_B @ SV163 ) @ SV163 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8571]) ).

thf(8811,plain,
    ! [SV261: $i] :
      ( ( ( ( v3_struct_0 @ SV261 )
          | ~ ( v10_lattices @ SV261 )
          | ~ ( v17_lattices @ SV261 )
          | ( v3_realset2 @ SV261 )
          | ~ ( l3_lattices @ SV261 ) )
        = $true )
      | ( ( v1_funct_1 @ ( k8_lopclset @ SV261 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8573]) ).

thf(8812,plain,
    ! [SV262: $i] :
      ( ( ( ( v3_struct_0 @ SV262 )
          | ~ ( v10_lattices @ SV262 )
          | ~ ( v17_lattices @ SV262 )
          | ( v3_realset2 @ SV262 )
          | ~ ( l3_lattices @ SV262 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k8_lopclset @ SV262 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8574]) ).

thf(8813,plain,
    ( ( ~ ( l3_vectsp_1 @ sK56_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8575]) ).

thf(8814,plain,
    ( ( ~ ( v3_vectsp_1 @ sK56_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8575]) ).

thf(8815,plain,
    ! [SV263: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV263 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k4_relat_1 @ SV263 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8577]) ).

thf(8816,plain,
    ! [SV264: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV264 ) )
        = $true )
      | ( ( v1_xboole_0 @ ( k4_relat_1 @ SV264 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8578]) ).

thf(8817,plain,
    ! [SV265: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV265 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k2_relat_1 @ SV265 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8579]) ).

thf(8818,plain,
    ! [SV266: $i] :
      ( ( ( ~ ( v1_xboole_0 @ SV266 ) )
        = $true )
      | ( ( v1_xboole_0 @ ( k2_relat_1 @ SV266 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8580]) ).

thf(8819,plain,
    ! [SV164: $i] :
      ( ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                                      ( ( v3_struct_0 @ SY514 )
                                      | ~ ( v10_lattices @ SY514 )
                                      | ~ ( l3_lattices @ SY514 )
                                      | ( v3_struct_0 @ SV164 )
                                      | ~ ( v10_lattices @ SV164 )
                                      | ~ ( v11_lattices @ SV164 )
                                      | ~ ( l3_lattices @ SV164 )
                                      | ( v3_struct_0 @ SY514 )
                                      | ~ ( v10_lattices @ SY514 )
                                      | ~ ( v11_lattices @ SY514 )
                                      | ~ ( l3_lattices @ SY514 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                                | ~ ! [SY515: $i] :
                                      ( ( v3_struct_0 @ SY515 )
                                      | ~ ( v10_lattices @ SY515 )
                                      | ~ ( l3_lattices @ SY515 )
                                      | ( v3_struct_0 @ SV164 )
                                      | ~ ( v10_lattices @ SV164 )
                                      | ~ ( v11_lattices @ SV164 )
                                      | ~ ( l3_lattices @ SV164 )
                                      | ( v3_struct_0 @ SY515 )
                                      | ~ ( v10_lattices @ SY515 )
                                      | ~ ( v11_lattices @ SY515 )
                                      | ~ ( l3_lattices @ SY515 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                          | ~ ! [SY516: $i] :
                                ( ( v3_struct_0 @ SY516 )
                                | ~ ( v10_lattices @ SY516 )
                                | ~ ( l3_lattices @ SY516 )
                                | ( v3_struct_0 @ SV164 )
                                | ~ ( v10_lattices @ SV164 )
                                | ~ ( v11_lattices @ SV164 )
                                | ~ ( l3_lattices @ SV164 )
                                | ( v3_struct_0 @ SY516 )
                                | ~ ( v10_lattices @ SY516 )
                                | ~ ( v11_lattices @ SY516 )
                                | ~ ( l3_lattices @ SY516 )
                                | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
                    | ~ ! [SY517: $i] :
                          ( ( v3_struct_0 @ SY517 )
                          | ~ ( v10_lattices @ SY517 )
                          | ~ ( l3_lattices @ SY517 )
                          | ( v3_struct_0 @ SV164 )
                          | ~ ( v10_lattices @ SV164 )
                          | ~ ( v11_lattices @ SV164 )
                          | ~ ( l3_lattices @ SV164 )
                          | ( v3_struct_0 @ SY517 )
                          | ~ ( v10_lattices @ SY517 )
                          | ~ ( v11_lattices @ SY517 )
                          | ~ ( l3_lattices @ SY517 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                              ( ( v3_struct_0 @ SY518 )
                                                              | ~ ( v10_lattices @ SY518 )
                                                              | ~ ( l3_lattices @ SY518 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v3_struct_0 @ SV164 ) )
                                                        | ~ ! [SY519: $i] :
                                                              ( ( v3_struct_0 @ SY519 )
                                                              | ~ ( v10_lattices @ SY519 )
                                                              | ~ ( l3_lattices @ SY519 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ( v10_lattices @ SV164 ) ) )
                                                  | ~ ! [SY520: $i] :
                                                        ( ( v3_struct_0 @ SY520 )
                                                        | ~ ( v10_lattices @ SY520 )
                                                        | ~ ( l3_lattices @ SY520 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ( v11_lattices @ SV164 ) ) )
                                            | ~ ! [SY521: $i] :
                                                  ( ( v3_struct_0 @ SY521 )
                                                  | ~ ( v10_lattices @ SY521 )
                                                  | ~ ( l3_lattices @ SY521 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ( l3_lattices @ SV164 ) ) )
                                      | ~ ! [SY522: $i] :
                                            ( ( v3_struct_0 @ SY522 )
                                            | ~ ( v10_lattices @ SY522 )
                                            | ~ ( l3_lattices @ SY522 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v3_struct_0 @ SY522 ) ) )
                                | ~ ! [SY523: $i] :
                                      ( ( v3_struct_0 @ SY523 )
                                      | ~ ( v10_lattices @ SY523 )
                                      | ~ ( l3_lattices @ SY523 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ( v10_lattices @ SY523 ) ) )
                          | ~ ! [SY524: $i] :
                                ( ( v3_struct_0 @ SY524 )
                                | ~ ( v10_lattices @ SY524 )
                                | ~ ( l3_lattices @ SY524 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ( v11_lattices @ SY524 ) ) )
                    | ~ ! [SY525: $i] :
                          ( ( v3_struct_0 @ SY525 )
                          | ~ ( v10_lattices @ SY525 )
                          | ~ ( l3_lattices @ SY525 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ( l3_lattices @ SY525 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8581]) ).

thf(8820,plain,
    ! [SV165: $i] :
      ( ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV165 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY526: $i] :
                    ( ( v3_struct_0 @ SY526 )
                    | ~ ( v10_lattices @ SY526 )
                    | ~ ( l3_lattices @ SY526 )
                    | ~ ( v15_lattices @ SV165 )
                    | ~ ( v15_lattices @ SY526 )
                    | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY526 ) ) )
              | ~ ~ ( ~ ! [SY527: $i] :
                          ( ( v3_struct_0 @ SY527 )
                          | ~ ( v10_lattices @ SY527 )
                          | ~ ( l3_lattices @ SY527 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                          | ( v15_lattices @ SV165 ) )
                    | ~ ! [SY528: $i] :
                          ( ( v3_struct_0 @ SY528 )
                          | ~ ( v10_lattices @ SY528 )
                          | ~ ( l3_lattices @ SY528 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                          | ( v15_lattices @ SY528 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8582]) ).

thf(8821,plain,
    ! [SV267: $i] :
      ( ( ( ~ ( l3_lattices @ SV267 ) )
        = $true )
      | ( ( l3_lattices @ ( k1_lattice2 @ SV267 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8583]) ).

thf(8822,plain,
    ! [SV268: $i] :
      ( ( ( ~ ( l3_lattices @ SV268 ) )
        = $true )
      | ( ( v3_lattices @ ( k1_lattice2 @ SV268 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8584]) ).

thf(8823,plain,
    ! [SV166: $i] :
      ( ( ( ~ ~ ( ~ ( m1_pre_topc @ ( sK68_B @ SV166 ) @ SV166 )
                | ~ ~ ( v3_struct_0 @ ( sK68_B @ SV166 ) ) )
          | ~ ( v1_pre_topc @ ( sK68_B @ SV166 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8585]) ).

thf(8824,plain,
    ! [SV167: $i] :
      ( ( ( v2_pre_topc @ SV167 )
        = $false )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
                          | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
                    | ~ ( v2_pre_topc @ ( sK8_B @ SV167 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK8_B @ SV167 ) @ SV167 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8586]) ).

thf(8825,plain,
    ( ( ~ ( l3_vectsp_1 @ sK59_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8587]) ).

thf(8826,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK59_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8587]) ).

thf(8827,plain,
    ! [SV269: $i] :
      ( ( ( ( v3_struct_0 @ SV269 )
          | ~ ( v10_lattices @ SV269 )
          | ~ ( l3_lattices @ SV269 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV269 )
          | ~ ( v3_filter_0 @ SV269 )
          | ( v1_lattice2 @ SV269 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8588]) ).

thf(8828,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v1_lattice2 @ SX0 )
            | ( v13_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8589]) ).

thf(8829,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v1_lattice2 @ SX0 )
            | ( v3_filter_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8589]) ).

thf(8830,plain,
    ! [SV270: $i] :
      ( ( ( ( v3_struct_0 @ SV270 )
          | ~ ( l3_lattices @ SV270 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV270 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8590]) ).

thf(8831,plain,
    ! [SV271: $i] :
      ( ( ( ( v3_struct_0 @ SV271 )
          | ~ ( l3_lattices @ SV271 ) )
        = $true )
      | ( ( v3_lattices @ ( k1_lattice2 @ SV271 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8591]) ).

thf(8832,plain,
    ! [SV272: $i] :
      ( ( ( ( v3_struct_0 @ SV272 )
          | ~ ( v10_lattices @ SV272 )
          | ~ ( l3_lattices @ SV272 ) )
        = $true )
      | ( ( ~ ( v6_group_1 @ SV272 )
          | ( v6_group_1 @ ( k1_lattice2 @ SV272 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8592]) ).

thf(8833,plain,
    ! [SV273: $i] :
      ( ( ( ( v3_struct_0 @ SV273 )
          | ~ ( v10_lattices @ SV273 )
          | ~ ( l3_lattices @ SV273 ) )
        = $true )
      | ( ( ~ ( v6_group_1 @ ( k1_lattice2 @ SV273 ) )
          | ( v6_group_1 @ SV273 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8593]) ).

thf(8834,plain,
    ! [SV168: $i] :
      ( ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV168 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY529: $i] :
                    ( ( v3_struct_0 @ SY529 )
                    | ~ ( v10_lattices @ SY529 )
                    | ~ ( l3_lattices @ SY529 )
                    | ~ ( v14_lattices @ SV168 )
                    | ~ ( v14_lattices @ SY529 )
                    | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY529 ) ) )
              | ~ ~ ( ~ ! [SY530: $i] :
                          ( ( v3_struct_0 @ SY530 )
                          | ~ ( v10_lattices @ SY530 )
                          | ~ ( l3_lattices @ SY530 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                          | ( v14_lattices @ SV168 ) )
                    | ~ ! [SY531: $i] :
                          ( ( v3_struct_0 @ SY531 )
                          | ~ ( v10_lattices @ SY531 )
                          | ~ ( l3_lattices @ SY531 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                          | ( v14_lattices @ SY531 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8595]) ).

thf(8835,plain,
    ( ( ~ ~ ( v3_struct_0 @ k22_borsuk_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8596]) ).

thf(8836,plain,
    ( ( ~ ( v1_pre_topc @ k22_borsuk_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8596]) ).

thf(8837,plain,
    ! [SV274: $i] :
      ( ( ( ~ ( l2_vectsp_1 @ SV274 ) )
        = $true )
      | ( ( l1_vectsp_1 @ SV274 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8598]) ).

thf(8838,plain,
    ! [SV275: $i] :
      ( ( ( ~ ( l2_vectsp_1 @ SV275 ) )
        = $true )
      | ( ( l2_struct_0 @ SV275 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8599]) ).

thf(8839,plain,
    ( ( ~ ( l1_lattices @ sK74_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8600]) ).

thf(8840,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK74_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8600]) ).

thf(8841,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( m1_filter_0 @ SX1 @ SX0 )
                  | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( m1_filter_0 @ SX1 @ SX0 )
                  | ( v3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8601]) ).

thf(8842,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ( v10_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8601]) ).

thf(8843,plain,
    ! [SV305: $i,SV276: $i] :
      ( ( ( v3_struct_0 @ SV276 )
        | ~ ( v10_lattices @ SV276 )
        | ~ ( l3_lattices @ SV276 )
        | ~ ( m1_filter_0 @ SV305 @ SV276 )
        | ( l3_lattices @ ( k5_filter_1 @ SV276 @ SV305 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8602]) ).

thf(8844,plain,
    ! [SV277: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV277 )
          | ~ ( v2_pre_topc @ SV277 ) )
        = $true )
      | ( ( v3_pre_topc @ ( k2_pre_topc @ SV277 ) @ SV277 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8603]) ).

thf(8845,plain,
    ! [SV278: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV278 )
          | ~ ( v2_pre_topc @ SV278 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV278 ) @ SV278 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8604]) ).

thf(8846,plain,
    ( ( ~ ( l2_lattices @ sK75_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8605]) ).

thf(8847,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK75_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8605]) ).

thf(8848,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( l1_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8607]) ).

thf(8849,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( l1_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( v2_pre_topc @ SX1 )
            | ~ ( l1_pre_topc @ SX1 )
            | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8607]) ).

thf(8850,plain,
    ! [SV306: $i,SV279: $i] :
      ( ( ~ ( l1_pre_topc @ SV279 )
        | ~ ( v2_pre_topc @ SV279 )
        | ~ ( v2_pre_topc @ SV306 )
        | ~ ( l1_pre_topc @ SV306 )
        | ( l1_pre_topc @ ( k6_borsuk_1 @ SV279 @ SV306 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8608]) ).

thf(8851,plain,
    ( ( ~ ( l1_group_1 @ sK62_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8609]) ).

thf(8852,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK62_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8609]) ).

thf(8853,plain,
    ! [SV280: $i] :
      ( ( ( ~ ( l3_lattices @ SV280 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV280 )
          | ~ ( v11_lattices @ SV280 )
          | ~ ( v15_lattices @ SV280 )
          | ~ ( v16_lattices @ SV280 )
          | ~ ( v3_struct_0 @ SV280 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8610]) ).

thf(8854,plain,
    ! [SV281: $i] :
      ( ( ( ~ ( l3_lattices @ SV281 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV281 )
          | ~ ( v11_lattices @ SV281 )
          | ~ ( v15_lattices @ SV281 )
          | ~ ( v16_lattices @ SV281 )
          | ( v17_lattices @ SV281 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8611]) ).

thf(8855,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8612]) ).

thf(8856,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v2_pre_topc @ SX0 )
            | ~ ( l1_pre_topc @ SX0 )
            | ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8612]) ).

thf(8857,plain,
    ! [SV282: $i] :
      ( ( ( ( v3_struct_0 @ SV282 )
          | ~ ( v2_pre_topc @ SV282 )
          | ~ ( l1_pre_topc @ SV282 ) )
        = $true )
      | ( ( l3_lattices @ ( k6_lopclset @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8613]) ).

thf(8858,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_relat_1 @ SX0 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ~ ( v1_funct_1 @ SX0 )
            | ( v1_funct_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8614]) ).

thf(8859,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( v1_relat_1 @ SX0 )
            | ~ ( v1_xboole_0 @ SX0 )
            | ~ ( v1_funct_1 @ SX0 )
            | ( v1_relat_1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8614]) ).

thf(8860,plain,
    ! [SV283: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV283 )
          | ~ ( v1_xboole_0 @ SV283 )
          | ~ ( v1_funct_1 @ SV283 ) )
        = $true )
      | ( ( v2_funct_1 @ SV283 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8615]) ).

thf(8861,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8616]) ).

thf(8862,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8616]) ).

thf(8863,plain,
    ! [SV284: $i] :
      ( ( ( ( v3_struct_0 @ SV284 )
          | ~ ( v10_lattices @ SV284 )
          | ~ ( v17_lattices @ SV284 )
          | ( v3_realset2 @ SV284 )
          | ~ ( l3_lattices @ SV284 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV284 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8617]) ).

thf(8864,plain,
    ! [SV285: $i,SV307: $i] :
      ( ( ~ ( v1_relat_1 @ SV307 )
        | ~ ( v1_xboole_0 @ SV285 )
        | ( v1_relat_1 @ ( k5_relat_1 @ SV285 @ SV307 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8618]) ).

thf(8865,plain,
    ! [SV286: $i,SV308: $i] :
      ( ( ~ ( v1_relat_1 @ SV308 )
        | ~ ( v1_xboole_0 @ SV286 )
        | ( v1_xboole_0 @ ( k5_relat_1 @ SV286 @ SV308 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8619]) ).

thf(8866,plain,
    ! [SV169: $i] :
      ( ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV169 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY532: $i] :
                    ( ( v3_struct_0 @ SY532 )
                    | ~ ( v10_lattices @ SY532 )
                    | ~ ( l3_lattices @ SY532 )
                    | ~ ( v13_lattices @ SV169 )
                    | ~ ( v13_lattices @ SY532 )
                    | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY532 ) ) )
              | ~ ~ ( ~ ! [SY533: $i] :
                          ( ( v3_struct_0 @ SY533 )
                          | ~ ( v10_lattices @ SY533 )
                          | ~ ( l3_lattices @ SY533 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                          | ( v13_lattices @ SV169 ) )
                    | ~ ! [SY534: $i] :
                          ( ( v3_struct_0 @ SY534 )
                          | ~ ( v10_lattices @ SY534 )
                          | ~ ( l3_lattices @ SY534 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                          | ( v13_lattices @ SY534 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8620]) ).

thf(8867,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8621]) ).

thf(8868,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v3_realset2 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8621]) ).

thf(8869,plain,
    ! [SV287: $i] :
      ( ( ( ( v3_struct_0 @ SV287 )
          | ~ ( v10_lattices @ SV287 )
          | ~ ( v17_lattices @ SV287 )
          | ( v3_realset2 @ SV287 )
          | ~ ( l3_lattices @ SV287 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k11_lopclset @ SV287 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8622]) ).

thf(8870,plain,
    ( ( ~ ~ ( ~ ( v1_funct_1 @ sK39_A )
            | ~ ( v1_relat_1 @ sK39_A ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8623]) ).

thf(8871,plain,
    ( ( ~ ( v2_funct_1 @ sK39_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8623]) ).

thf(8872,plain,
    ( ( ~ ~ ( v3_struct_0 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8624]) ).

thf(8873,plain,
    ( ( ~ ( v2_group_1 @ k3_vectsp_1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8624]) ).

thf(8874,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                              ( ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ SX0 )
                              | ~ ( v17_lattices @ SX0 )
                              | ~ ( v3_struct_0 @ SX0 ) )
                        | ~ ! [SX0: $i] :
                              ( ~ ( l3_lattices @ SX0 )
                              | ( v3_struct_0 @ SX0 )
                              | ~ ( v17_lattices @ SX0 )
                              | ( v11_lattices @ SX0 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ( v13_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v14_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8625]) ).

thf(8875,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v15_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8625]) ).

thf(8876,plain,
    ! [SV288: $i] :
      ( ( ( ~ ( l3_lattices @ SV288 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV288 )
          | ~ ( v17_lattices @ SV288 )
          | ( v16_lattices @ SV288 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8626]) ).

thf(8877,plain,
    ! [SV289: $i] :
      ( ( ( ( v3_struct_0 @ SV289 )
          | ~ ( v10_lattices @ SV289 )
          | ~ ( l3_lattices @ SV289 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV289 )
          | ( v14_lattices @ ( k1_lattice2 @ SV289 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8627]) ).

thf(8878,plain,
    ! [SV290: $i] :
      ( ( ( ( v3_struct_0 @ SV290 )
          | ~ ( v10_lattices @ SV290 )
          | ~ ( l3_lattices @ SV290 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k1_lattice2 @ SV290 ) )
          | ( v13_lattices @ SV290 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8628]) ).

thf(8879,plain,
    ! [SV291: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV291 ) )
        = $true )
      | ( ( ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
              | ~ ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
                    | ~ ( ( ( sK11_B @ SV291 )
                         != ( sK12_SY394 @ SV291 ) ) ) ) )
          | ( v3_realset2 @ SV291 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8629]) ).

thf(8880,plain,
    ! [SV292: $i] :
      ( ( ( ~ ( l1_struct_0 @ SV292 ) )
        = $true )
      | ( ( ~ ( v3_realset2 @ SV292 )
          | ! [SY573: $i] :
              ( ~ ( m1_subset_1 @ SY573 @ ( u1_struct_0 @ SV292 ) )
              | ! [SY574: $i] :
                  ( ~ ( m1_subset_1 @ SY574 @ ( u1_struct_0 @ SV292 ) )
                  | ( SY573 = SY574 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8630]) ).

thf(8881,plain,
    ! [SV170: $i] :
      ( ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                            ( ( v3_struct_0 @ SY535 )
                                            | ~ ( v10_lattices @ SY535 )
                                            | ~ ( l3_lattices @ SY535 )
                                            | ( v3_struct_0 @ SV170 )
                                            | ~ ( v10_lattices @ SV170 )
                                            | ~ ( v15_lattices @ SV170 )
                                            | ~ ( v16_lattices @ SV170 )
                                            | ~ ( l3_lattices @ SV170 )
                                            | ( v3_struct_0 @ SY535 )
                                            | ~ ( v10_lattices @ SY535 )
                                            | ~ ( v15_lattices @ SY535 )
                                            | ~ ( v16_lattices @ SY535 )
                                            | ~ ( l3_lattices @ SY535 )
                                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                                      | ~ ! [SY536: $i] :
                                            ( ( v3_struct_0 @ SY536 )
                                            | ~ ( v10_lattices @ SY536 )
                                            | ~ ( l3_lattices @ SY536 )
                                            | ( v3_struct_0 @ SV170 )
                                            | ~ ( v10_lattices @ SV170 )
                                            | ~ ( v15_lattices @ SV170 )
                                            | ~ ( v16_lattices @ SV170 )
                                            | ~ ( l3_lattices @ SV170 )
                                            | ( v3_struct_0 @ SY536 )
                                            | ~ ( v10_lattices @ SY536 )
                                            | ~ ( v15_lattices @ SY536 )
                                            | ~ ( v16_lattices @ SY536 )
                                            | ~ ( l3_lattices @ SY536 )
                                            | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                                | ~ ! [SY537: $i] :
                                      ( ( v3_struct_0 @ SY537 )
                                      | ~ ( v10_lattices @ SY537 )
                                      | ~ ( l3_lattices @ SY537 )
                                      | ( v3_struct_0 @ SV170 )
                                      | ~ ( v10_lattices @ SV170 )
                                      | ~ ( v15_lattices @ SV170 )
                                      | ~ ( v16_lattices @ SV170 )
                                      | ~ ( l3_lattices @ SV170 )
                                      | ( v3_struct_0 @ SY537 )
                                      | ~ ( v10_lattices @ SY537 )
                                      | ~ ( v15_lattices @ SY537 )
                                      | ~ ( v16_lattices @ SY537 )
                                      | ~ ( l3_lattices @ SY537 )
                                      | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                          | ~ ! [SY538: $i] :
                                ( ( v3_struct_0 @ SY538 )
                                | ~ ( v10_lattices @ SY538 )
                                | ~ ( l3_lattices @ SY538 )
                                | ( v3_struct_0 @ SV170 )
                                | ~ ( v10_lattices @ SV170 )
                                | ~ ( v15_lattices @ SV170 )
                                | ~ ( v16_lattices @ SV170 )
                                | ~ ( l3_lattices @ SV170 )
                                | ( v3_struct_0 @ SY538 )
                                | ~ ( v10_lattices @ SY538 )
                                | ~ ( v15_lattices @ SY538 )
                                | ~ ( v16_lattices @ SY538 )
                                | ~ ( l3_lattices @ SY538 )
                                | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
                    | ~ ! [SY539: $i] :
                          ( ( v3_struct_0 @ SY539 )
                          | ~ ( v10_lattices @ SY539 )
                          | ~ ( l3_lattices @ SY539 )
                          | ( v3_struct_0 @ SV170 )
                          | ~ ( v10_lattices @ SV170 )
                          | ~ ( v15_lattices @ SV170 )
                          | ~ ( v16_lattices @ SV170 )
                          | ~ ( l3_lattices @ SV170 )
                          | ( v3_struct_0 @ SY539 )
                          | ~ ( v10_lattices @ SY539 )
                          | ~ ( v15_lattices @ SY539 )
                          | ~ ( v16_lattices @ SY539 )
                          | ~ ( l3_lattices @ SY539 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                          ( ( v3_struct_0 @ SY540 )
                                                                          | ~ ( v10_lattices @ SY540 )
                                                                          | ~ ( l3_lattices @ SY540 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v3_struct_0 @ SV170 ) )
                                                                    | ~ ! [SY541: $i] :
                                                                          ( ( v3_struct_0 @ SY541 )
                                                                          | ~ ( v10_lattices @ SY541 )
                                                                          | ~ ( l3_lattices @ SY541 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ( v10_lattices @ SV170 ) ) )
                                                              | ~ ! [SY542: $i] :
                                                                    ( ( v3_struct_0 @ SY542 )
                                                                    | ~ ( v10_lattices @ SY542 )
                                                                    | ~ ( l3_lattices @ SY542 )
                                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ( v15_lattices @ SV170 ) ) )
                                                        | ~ ! [SY543: $i] :
                                                              ( ( v3_struct_0 @ SY543 )
                                                              | ~ ( v10_lattices @ SY543 )
                                                              | ~ ( l3_lattices @ SY543 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ( v16_lattices @ SV170 ) ) )
                                                  | ~ ! [SY544: $i] :
                                                        ( ( v3_struct_0 @ SY544 )
                                                        | ~ ( v10_lattices @ SY544 )
                                                        | ~ ( l3_lattices @ SY544 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ( l3_lattices @ SV170 ) ) )
                                            | ~ ! [SY545: $i] :
                                                  ( ( v3_struct_0 @ SY545 )
                                                  | ~ ( v10_lattices @ SY545 )
                                                  | ~ ( l3_lattices @ SY545 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v3_struct_0 @ SY545 ) ) )
                                      | ~ ! [SY546: $i] :
                                            ( ( v3_struct_0 @ SY546 )
                                            | ~ ( v10_lattices @ SY546 )
                                            | ~ ( l3_lattices @ SY546 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ( v10_lattices @ SY546 ) ) )
                                | ~ ! [SY547: $i] :
                                      ( ( v3_struct_0 @ SY547 )
                                      | ~ ( v10_lattices @ SY547 )
                                      | ~ ( l3_lattices @ SY547 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ( v15_lattices @ SY547 ) ) )
                          | ~ ! [SY548: $i] :
                                ( ( v3_struct_0 @ SY548 )
                                | ~ ( v10_lattices @ SY548 )
                                | ~ ( l3_lattices @ SY548 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ( v16_lattices @ SY548 ) ) )
                    | ~ ! [SY549: $i] :
                          ( ( v3_struct_0 @ SY549 )
                          | ~ ( v10_lattices @ SY549 )
                          | ~ ( l3_lattices @ SY549 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ( l3_lattices @ SY549 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8631]) ).

thf(8882,plain,
    ! [SV293: $i] :
      ( ( ( ( v3_struct_0 @ SV293 )
          | ~ ( l3_lattices @ SV293 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV293 )
          | ~ ( v16_lattices @ SV293 )
          | ~ ( v11_lattices @ SV293 )
          | ( v17_lattices @ SV293 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8632]) ).

thf(8883,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v15_lattices @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v16_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8633]) ).

thf(8884,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v11_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8633]) ).

thf(8885,plain,
    ! [SV294: $i] :
      ( ( ( ( v3_struct_0 @ SV294 )
          | ~ ( l1_struct_0 @ SV294 ) )
        = $true )
      | ( ( ! [SY575: $i] :
              ( ( u1_struct_0 @ SV294 )
             != ( k1_tarski @ SY575 ) )
          | ( v3_realset2 @ SV294 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8635]) ).

thf(8886,plain,
    ! [SV295: $i] :
      ( ( ( ( v3_struct_0 @ SV295 )
          | ~ ( l1_struct_0 @ SV295 ) )
        = $true )
      | ( ( ~ ( v3_realset2 @ SV295 )
          | ( ( u1_struct_0 @ SV295 )
            = ( k1_tarski @ ( sK2_B @ SV295 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8636]) ).

thf(8887,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ~ ( v3_struct_0 @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8637]) ).

thf(8888,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ( v10_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8637]) ).

thf(8889,plain,
    ! [SV309: $i,SV296: $i] :
      ( ( ( v3_struct_0 @ SV296 )
        | ~ ( v10_lattices @ SV296 )
        | ~ ( l3_lattices @ SV296 )
        | ~ ( m1_filter_0 @ SV309 @ SV296 )
        | ( l3_lattices @ ( k8_filter_0 @ SV296 @ SV309 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8638]) ).

thf(8890,plain,
    ( ( ~ ( l1_rlvect_1 @ sK63_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8639]) ).

thf(8891,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK63_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8639]) ).

thf(8892,plain,
    ! [SV171: $i] :
      ( ( ( v10_lattices @ SV171 )
        = $false )
      | ( ( v3_struct_0 @ SV171 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV171 ) )
        = $true )
      | ( ( ~ ( ~ ( m2_lattice4 @ ( sK53_B @ SV171 ) @ SV171 )
              | ~ ~ ( v1_xboole_0 @ ( sK53_B @ SV171 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8640]) ).

thf(8893,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( v11_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( v11_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v11_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v11_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8641]) ).

thf(8894,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8641]) ).

thf(8895,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v3_struct_0 @ SX0 ) )
                  | ~ ! [SX0: $i] :
                        ( ( v3_struct_0 @ SX0 )
                        | ~ ( v10_lattices @ SX0 )
                        | ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                        | ( v10_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ( v11_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8642]) ).

thf(8896,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
            | ( l3_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[8642]) ).

thf(8897,plain,
    ! [SV1: $i,SV310: $i] :
      ( ( ( ~ ( m1_pre_topc @ SV310 @ SV1 )
          | ( v2_pre_topc @ SV310 ) )
        = $true )
      | ( ( l1_pre_topc @ SV1 )
        = $false )
      | ( ( v2_pre_topc @ SV1 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8643]) ).

thf(8898,plain,
    ! [SV4: $i,SV222: $i] :
      ( ( ( m1_pre_topc @ SV222 @ SV4 )
        = $false )
      | ( ( l1_pre_topc @ SV222 )
        = $true )
      | ( ( l1_pre_topc @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8646]) ).

thf(8899,plain,
    ! [SV14: $i] :
      ( ( ( l3_lattices @ SV14 )
        = $false )
      | ( ( v3_struct_0 @ SV14 )
        = $true )
      | ( ( v10_lattices @ SV14 )
        = $false )
      | ( ( m1_filter_0 @ ( u1_struct_0 @ SV14 ) @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8651]) ).

thf(8900,plain,
    ! [SV15: $i] :
      ( ( ( l3_lattices @ SV15 )
        = $false )
      | ( ( v3_struct_0 @ SV15 )
        = $true )
      | ( ( v10_lattices @ SV15 )
        = $false )
      | ( ( ( k1_filter_0 @ SV15 )
          = ( u1_struct_0 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8652]) ).

thf(8901,plain,
    ! [SV16: $i] :
      ( ( ( l3_lattices @ SV16 )
        = $false )
      | ( ( v3_struct_0 @ SV16 )
        = $true )
      | ( ( v10_lattices @ SV16 )
        = $false )
      | ( ( ! [SY397: $i] :
              ( ~ ( m1_filter_0 @ SY397 @ SV16 )
              | ( ( k3_filter_0 @ SV16 @ SY397 )
                = SY397 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8653]) ).

thf(8902,plain,
    ! [SV17: $i] :
      ( ( ( v10_lattices @ SV17 )
        = $false )
      | ( ( v3_struct_0 @ SV17 )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV17 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV17 ) )
        = $true )
      | ( ( v14_lattices @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8654]) ).

thf(8903,plain,
    ! [SV18: $i] :
      ( ( ( v10_lattices @ SV18 )
        = $false )
      | ( ( v3_struct_0 @ SV18 )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV18 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV18 ) )
        = $true )
      | ( ( v11_lattices @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8655]) ).

thf(8904,plain,
    ! [SV19: $i] :
      ( ( ( v10_lattices @ SV19 )
        = $false )
      | ( ( v3_struct_0 @ SV19 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV19 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV19 ) )
        = $true )
      | ( ( v3_filter_0 @ SV19 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8656]) ).

thf(8905,plain,
    ! [SV20: $i] :
      ( ( ( l3_lattices @ SV20 )
        = $false )
      | ( ( v3_struct_0 @ SV20 )
        = $true )
      | ( ( v10_lattices @ SV20 )
        = $false )
      | ( ( m1_filter_0 @ ( sK55_B @ SV20 ) @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8657]) ).

thf(8906,plain,
    ! [SV21: $i] :
      ( ( ( l3_lattices @ SV21 )
        = $false )
      | ( ( v3_struct_0 @ SV21 )
        = $true )
      | ( ( v10_lattices @ SV21 )
        = $false )
      | ( ( m1_filter_0 @ ( k1_filter_0 @ SV21 ) @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8658]) ).

thf(8907,plain,
    ! [SV210: $i,SV172: $i,SV22: $i] :
      ( ( ( ( v3_struct_0 @ SV22 )
          | ~ ( v10_lattices @ SV22 )
          | ~ ( v17_lattices @ SV22 )
          | ~ ( l3_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV172 @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV210 @ SV22 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8659]) ).

thf(8908,plain,
    ! [SV23: $i] :
      ( ( ( l3_lattices @ SV23 )
        = $false )
      | ( ( v3_struct_0 @ SV23 )
        = $true )
      | ( ( v3_lattices @ SV23 )
        = $false )
      | ( ( ( k1_lattice2 @ ( k1_lattice2 @ SV23 ) )
          = SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8660]) ).

thf(8909,plain,
    ! [SV24: $i] :
      ( ( ( l3_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( ! [SY400: $i] :
              ( ( v3_struct_0 @ SY400 )
              | ~ ( v10_lattices @ SY400 )
              | ~ ( l3_lattices @ SY400 )
              | ! [SY401: $i] :
                  ( ( v3_struct_0 @ SY401 )
                  | ~ ( v10_lattices @ SY401 )
                  | ~ ( l3_lattices @ SY401 )
                  | ~ ( r1_filter_1 @ SV24 @ SY400 )
                  | ~ ( r1_filter_1 @ SY400 @ SY401 )
                  | ( r1_filter_1 @ SV24 @ SY401 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8661]) ).

thf(8910,plain,
    ! [SV25: $i] :
      ( ( ( l3_lattices @ SV25 )
        = $false )
      | ( ( v3_struct_0 @ SV25 )
        = $true )
      | ( ( v10_lattices @ SV25 )
        = $false )
      | ( ( ! [SY402: $i] :
              ( ( v3_struct_0 @ SY402 )
              | ~ ( v10_lattices @ SY402 )
              | ~ ( l3_lattices @ SY402 )
              | ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SY402 ) )
                = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SY402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8662]) ).

thf(8911,plain,
    ! [SV26: $i] :
      ( ( ( l3_lattices @ SV26 )
        = $false )
      | ( ( v3_struct_0 @ SV26 )
        = $true )
      | ( ( v10_lattices @ SV26 )
        = $false )
      | ( ( ! [SY403: $i] :
              ( ( v3_struct_0 @ SY403 )
              | ~ ( v10_lattices @ SY403 )
              | ~ ( l3_lattices @ SY403 )
              | ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SY403 ) @ ( k8_filter_1 @ SY403 @ SV26 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8663]) ).

thf(8912,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( ( v3_struct_0 @ SV27 )
          | ~ ( v10_lattices @ SV27 )
          | ~ ( l3_lattices @ SV27 ) )
        = $true )
      | ( ( v3_struct_0 @ SV173 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV27 @ SV173 )
          | ( r1_filter_1 @ SV173 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8664]) ).

thf(8913,plain,
    ! [SV211: $i,SV28: $i] :
      ( ( ( ( v3_struct_0 @ SV28 )
          | ~ ( v10_lattices @ SV28 )
          | ~ ( l3_lattices @ SV28 ) )
        = $true )
      | ( ( v3_struct_0 @ SV211 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV211 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV211 ) )
        = $true )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8665]) ).

thf(8914,plain,
    ! [SV212: $i,SV174: $i,SV29: $i] :
      ( ( ( ( v3_struct_0 @ SV29 )
          | ~ ( v10_lattices @ SV29 )
          | ~ ( l3_lattices @ SV29 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV174 @ SV29 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV212 @ SV29 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SV212 ) @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8666]) ).

thf(8915,plain,
    ! [SV213: $i,SV175: $i,SV30: $i] :
      ( ( ( ( v3_struct_0 @ SV30 )
          | ~ ( v10_lattices @ SV30 )
          | ~ ( l3_lattices @ SV30 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV175 @ SV30 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV213 @ SV30 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV30 @ SV175 @ SV213 )
          = ( k1_filter_1 @ SV30 @ SV213 @ SV175 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8667]) ).

thf(8916,plain,
    ! [SV176: $i,SV31: $i] :
      ( ( ( ( v3_struct_0 @ SV31 )
          | ~ ( v10_lattices @ SV31 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV31 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV176 @ SV31 ) )
        = $true )
      | ( ( ! [SY411: $i] :
              ~ ( m1_filter_0 @ SY411 @ SV31 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8668]) ).

thf(8917,plain,
    ! [SV32: $i] :
      ( ( ( l3_lattices @ SV32 )
        = $false )
      | ( ( v3_struct_0 @ SV32 )
        = $true )
      | ( ( v10_lattices @ SV32 )
        = $false )
      | ( ( v1_relat_1 @ ( k9_filter_1 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8669]) ).

thf(8918,plain,
    ! [SV33: $i] :
      ( ( ( l3_lattices @ SV33 )
        = $false )
      | ( ( v3_struct_0 @ SV33 )
        = $true )
      | ( ( v10_lattices @ SV33 )
        = $false )
      | ( ( ( k9_filter_1 @ SV33 )
          = ( a_1_0_filter_1 @ SV33 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8670]) ).

thf(8919,plain,
    ! [SV34: $i] :
      ( ( ( l1_pre_topc @ SV34 )
        = $false )
      | ( ( v3_struct_0 @ SV34 )
        = $true )
      | ( ( v2_pre_topc @ SV34 )
        = $false )
      | ( ( m1_borsuk_1 @ ( k15_borsuk_1 @ SV34 ) @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8671]) ).

thf(8920,plain,
    ! [SV35: $i] :
      ( ( ( l1_pre_topc @ SV35 )
        = $false )
      | ( ( v3_struct_0 @ SV35 )
        = $true )
      | ( ( v2_pre_topc @ SV35 )
        = $false )
      | ( ( m1_borsuk_1 @ ( sK54_B @ SV35 ) @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8672]) ).

thf(8921,plain,
    ! [SV36: $i] :
      ( ( ( l3_lattices @ SV36 )
        = $false )
      | ( ( v3_struct_0 @ SV36 )
        = $true )
      | ( ( v10_lattices @ SV36 )
        = $false )
      | ( ( v2_filter_0 @ ( k1_filter_0 @ SV36 ) @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8673]) ).

thf(8922,plain,
    ! [SV37: $i] :
      ( ( ( l3_lattices @ SV37 )
        = $false )
      | ( ( v3_struct_0 @ SV37 )
        = $true )
      | ( ( v10_lattices @ SV37 )
        = $false )
      | ( ( m2_lattice4 @ ( u1_struct_0 @ SV37 ) @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8674]) ).

thf(8923,plain,
    ! [SV38: $i] :
      ( ( ( l3_lattices @ SV38 )
        = $false )
      | ( ( v3_struct_0 @ SV38 )
        = $true )
      | ( ( v10_lattices @ SV38 )
        = $false )
      | ( ( ! [SY412: $i] :
              ( ~ ( m1_filter_0 @ SY412 @ SV38 )
              | ( m2_lattice4 @ SY412 @ SV38 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8675]) ).

thf(8924,plain,
    ! [SV39: $i] :
      ( ( ( v10_lattices @ SV39 )
        = $false )
      | ( ( v3_struct_0 @ SV39 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV39 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV39 ) )
        = $true )
      | ( ( m3_lattice4 @ ( u1_struct_0 @ SV39 ) @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8676]) ).

thf(8925,plain,
    ! [SV40: $i] :
      ( ( ( v10_lattices @ SV40 )
        = $false )
      | ( ( v3_struct_0 @ SV40 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV40 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV40 ) )
        = $true )
      | ( ( ! [SY413: $i] :
              ( ~ ( m3_lattice4 @ SY413 @ SV40 )
              | ( m2_lattice4 @ SY413 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8677]) ).

thf(8926,plain,
    ! [SV177: $i,SV41: $i] :
      ( ( ( ( v3_struct_0 @ SV41 )
          | ~ ( v10_lattices @ SV41 )
          | ~ ( l3_lattices @ SV41 ) )
        = $true )
      | ( ( v3_struct_0 @ SV177 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV177 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV177 ) )
        = $true )
      | ( ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8678]) ).

thf(8927,plain,
    ! [SV42: $i] :
      ( ( ( l3_lattices @ SV42 )
        = $false )
      | ( ( v3_struct_0 @ SV42 )
        = $true )
      | ( ( v10_lattices @ SV42 )
        = $false )
      | ( ( m2_lattice4 @ ( sK50_B @ SV42 ) @ SV42 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8679]) ).

thf(8928,plain,
    ! [SV43: $i] :
      ( ( ( v10_lattices @ SV43 )
        = $false )
      | ( ( v3_struct_0 @ SV43 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV43 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV43 ) )
        = $true )
      | ( ( m3_lattice4 @ ( sK49_B @ SV43 ) @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8680]) ).

thf(8929,plain,
    ! [SV44: $i] :
      ( ( ( v3_struct_0 @ SV44 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV44 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV44 ) )
        = $true )
      | ( ( v3_realset2 @ SV44 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV44 ) )
        = $true )
      | ( ( ( k9_lopclset @ SV44 )
          = ( k8_lopclset @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8681]) ).

thf(8930,plain,
    ! [SV45: $i] :
      ( ( ( v3_struct_0 @ SV45 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV45 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV45 ) )
        = $true )
      | ( ( v3_realset2 @ SV45 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV45 ) )
        = $true )
      | ( ( ( k13_lopclset @ SV45 )
          = ( k8_lopclset @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8682]) ).

thf(8931,plain,
    ! [SV47: $i] :
      ( ( ( l1_pre_topc @ SV47 )
        = $false )
      | ( ( v3_struct_0 @ SV47 )
        = $true )
      | ( ( v2_pre_topc @ SV47 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ ( k1_lopclset @ SV47 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8683]) ).

thf(8932,plain,
    ! [SV48: $i] :
      ( ( ( l1_pre_topc @ SV48 )
        = $false )
      | ( ( v3_struct_0 @ SV48 )
        = $true )
      | ( ( v2_pre_topc @ SV48 )
        = $false )
      | ( ( ( u1_struct_0 @ ( k6_lopclset @ SV48 ) )
          = ( k1_lopclset @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8684]) ).

thf(8933,plain,
    ! [SV49: $i] :
      ( ( ( l1_pre_topc @ SV49 )
        = $false )
      | ( ( v3_struct_0 @ SV49 )
        = $true )
      | ( ( v2_pre_topc @ SV49 )
        = $false )
      | ( ( v17_lattices @ ( k6_lopclset @ SV49 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8685]) ).

thf(8934,plain,
    ! [SV50: $i] :
      ( ( ( v3_struct_0 @ SV50 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV50 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV50 ) )
        = $true )
      | ( ( v3_realset2 @ SV50 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV50 ) )
        = $true )
      | ( ( ( k7_lopclset @ SV50 )
          = ( a_1_1_lopclset @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8686]) ).

thf(8935,plain,
    ! [SV51: $i] :
      ( ( ( v3_struct_0 @ SV51 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV51 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV51 ) )
        = $true )
      | ( ( v3_realset2 @ SV51 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV51 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV51 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8687]) ).

thf(8936,plain,
    ! [SV52: $i] :
      ( ( ( v3_struct_0 @ SV52 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV52 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV52 ) )
        = $true )
      | ( ( v3_realset2 @ SV52 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV52 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k10_lopclset @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8688]) ).

thf(8937,plain,
    ! [SV53: $i] :
      ( ( ( v3_struct_0 @ SV53 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV53 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV53 ) )
        = $true )
      | ( ( v3_realset2 @ SV53 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV53 ) )
        = $true )
      | ( ( ( k12_lopclset @ SV53 )
          = ( k6_lopclset @ ( k11_lopclset @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8689]) ).

thf(8938,plain,
    ! [SV54: $i] :
      ( ( ( v3_struct_0 @ SV54 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV54 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV54 ) )
        = $true )
      | ( ( v3_realset2 @ SV54 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV54 ) )
        = $true )
      | ( ( v2_funct_1 @ ( k9_lopclset @ SV54 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8690]) ).

thf(8939,plain,
    ! [SV55: $i] :
      ( ( ( v3_struct_0 @ SV55 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV55 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV55 ) )
        = $true )
      | ( ( v3_realset2 @ SV55 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV55 ) )
        = $true )
      | ( ( r1_filter_1 @ SV55 @ ( k12_lopclset @ SV55 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8691]) ).

thf(8940,plain,
    ! [SV60: $i,SV179: $i] :
      ( ( ( v1_xboole_0 @ SV179 )
        = $false )
      | ( ( SV60 = SV179 )
        = $true )
      | ( ( v1_xboole_0 @ SV60 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8693]) ).

thf(8941,plain,
    ! [SV216: $i,SV183: $i,SV66: $i] :
      ( ( ( v1_xboole_0 @ SV66 )
        = $true )
      | ( ( v1_xboole_0 @ SV183 )
        = $true )
      | ( ( v1_xboole_0 @ SV216 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV66 @ SV183 @ SV216 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8695]) ).

thf(8942,plain,
    ! [SV223: $i,SV217: $i,SV184: $i,SV67: $i] :
      ( ( ( ( v1_xboole_0 @ SV67 )
          | ( v1_xboole_0 @ SV184 )
          | ( v1_xboole_0 @ SV217 ) )
        = $true )
      | ( ( v1_xboole_0 @ SV223 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV67 @ SV184 @ SV217 @ SV223 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8696]) ).

thf(8943,plain,
    ! [SV185: $i,SV68: $i] :
      ( ( ( r1_subset_1 @ SV68 @ SV185 )
        = $false )
      | ( ( r1_subset_1 @ SV185 @ SV68 )
        = $true )
      | ( ( v1_xboole_0 @ SV185 )
        = $true )
      | ( ( v1_xboole_0 @ SV68 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8697]) ).

thf(8944,plain,
    ! [SV186: $i,SV70: $i] :
      ( ( ( r2_subset_1 @ SV70 @ SV186 )
        = $false )
      | ( ( r2_subset_1 @ SV186 @ SV70 )
        = $true )
      | ( ( v1_xboole_0 @ SV186 )
        = $true )
      | ( ( v1_xboole_0 @ SV70 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8699]) ).

thf(8945,plain,
    ! [SV73: $i,SV187: $i] :
      ( ( ( v1_relat_1 @ SV187 )
        = $false )
      | ( ( v1_relat_1 @ SV73 )
        = $false )
      | ( ( v1_relat_1 @ ( k3_xboole_0 @ SV73 @ SV187 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8701]) ).

thf(8946,plain,
    ! [SV74: $i,SV188: $i] :
      ( ( ( v1_relat_1 @ SV188 )
        = $false )
      | ( ( v1_relat_1 @ SV74 )
        = $false )
      | ( ( v1_relat_1 @ ( k2_xboole_0 @ SV74 @ SV188 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8702]) ).

thf(8947,plain,
    ! [SV75: $i,SV189: $i] :
      ( ( ( v1_relat_1 @ SV189 )
        = $false )
      | ( ( v1_relat_1 @ SV75 )
        = $false )
      | ( ( v1_relat_1 @ ( k4_xboole_0 @ SV75 @ SV189 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8703]) ).

thf(8948,plain,
    ! [SV190: $i,SV79: $i] :
      ( ( ( r1_tarski @ SV79 @ SV190 )
        = $false )
      | ( ( v1_relat_1 @ SV79 )
        = $true )
      | ( ( v1_relat_1 @ SV190 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8706]) ).

thf(8949,plain,
    ! [SV83: $i,SV226: $i] :
      ( ( ( v1_relat_1 @ SV226 )
        = $false )
      | ( ( ! [SY561: $i] :
              ( ~ ( v1_relat_1 @ SY561 )
              | ( ( k5_relat_1 @ ( k5_relat_1 @ SV83 @ SV226 ) @ SY561 )
                = ( k5_relat_1 @ SV83 @ ( k5_relat_1 @ SV226 @ SY561 ) ) ) ) )
        = $true )
      | ( ( v1_relat_1 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8707]) ).

thf(8950,plain,
    ! [SV88: $i,SV196: $i] :
      ( ( ( v1_relat_1 @ SV196 )
        = $false )
      | ( ( v1_relat_1 @ SV88 )
        = $false )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV88 @ SV196 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8708]) ).

thf(8951,plain,
    ! [SV101: $i,SV218: $i] :
      ( ( ( v1_xboole_0 @ SV218 )
        = $false )
      | ( ( m1_eqrel_1 @ SV218 @ SV101 )
        = $false )
      | ( ( v1_xboole_0 @ SV101 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8709]) ).

thf(8952,plain,
    ! [SV104: $i,SV200: $i] :
      ( ( ( v1_relat_1 @ SV200 )
        = $false )
      | ( ( v1_relat_1 @ SV104 )
        = $false )
      | ( ( ~ ( r1_rfinseq @ SV104 @ SV200 )
          | ( r1_rfinseq @ SV200 @ SV104 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8710]) ).

thf(8953,plain,
    ! [SV105: $i,SV297: $i] :
      ( ( ( v1_relat_1 @ SV297 )
        = $false )
      | ( ( v1_relat_1 @ SV105 )
        = $false )
      | ( ( r1_rfinseq @ SV105 @ SV105 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8711]) ).

thf(8954,plain,
    ! [SV120: $i,SV229: $i] :
      ( ( ( l4_vectsp_1 @ SV229 @ SV120 )
        = $false )
      | ( ( l1_rlvect_1 @ SV229 )
        = $true )
      | ( ( l1_struct_0 @ SV120 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8714]) ).

thf(8955,plain,
    ! [SV122: $i] :
      ( ( ( v10_lattices @ SV122 )
        = $false )
      | ( ( v3_struct_0 @ SV122 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV122 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV122 ) )
        = $true )
      | ( ( ! [SY452: $i] :
              ( ~ ( m1_filter_0 @ SY452 @ SV122 )
              | ! [SY453: $i] :
                  ( ~ ( m1_filter_0 @ SY453 @ SV122 )
                  | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SY452 @ SY453 ) )
                    = ( k7_filter_0 @ SV122 @ SY452 @ SY453 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8715]) ).

thf(8956,plain,
    ! [SV123: $i] :
      ( ( ( v3_lattices @ SV123 )
        = $false )
      | ( ( v3_struct_0 @ SV123 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV123 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV123 ) )
        = $true )
      | ( ( ( k8_filter_0 @ SV123 @ ( k1_filter_0 @ SV123 ) )
          = SV123 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8716]) ).

thf(8957,plain,
    ! [SV124: $i] :
      ( ( ( l3_lattices @ SV124 )
        = $false )
      | ( ( v3_struct_0 @ SV124 )
        = $true )
      | ( ( v10_lattices @ SV124 )
        = $false )
      | ( ( ! [SY454: $i] :
              ( ~ ( m1_filter_0 @ SY454 @ SV124 )
              | ~ ( v14_lattices @ SV124 )
              | ( v14_lattices @ ( k8_filter_0 @ SV124 @ SY454 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8717]) ).

thf(8958,plain,
    ! [SV125: $i] :
      ( ( ( l3_lattices @ SV125 )
        = $false )
      | ( ( v3_struct_0 @ SV125 )
        = $true )
      | ( ( v10_lattices @ SV125 )
        = $false )
      | ( ( ! [SY455: $i] :
              ( ~ ( m1_filter_0 @ SY455 @ SV125 )
              | ~ ( v12_lattices @ SV125 )
              | ( v12_lattices @ ( k8_filter_0 @ SV125 @ SY455 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8718]) ).

thf(8959,plain,
    ! [SV126: $i] :
      ( ( ( l3_lattices @ SV126 )
        = $false )
      | ( ( v3_struct_0 @ SV126 )
        = $true )
      | ( ( v10_lattices @ SV126 )
        = $false )
      | ( ( ! [SY456: $i] :
              ( ~ ( m1_filter_0 @ SY456 @ SV126 )
              | ~ ( v11_lattices @ SV126 )
              | ( v11_lattices @ ( k8_filter_0 @ SV126 @ SY456 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8719]) ).

thf(8960,plain,
    ! [SV127: $i] :
      ( ( ( l3_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( ! [SY457: $i] :
              ( ~ ( m1_filter_0 @ SY457 @ SV127 )
              | ( v3_struct_0 @ SV127 )
              | ~ ( v10_lattices @ SV127 )
              | ~ ( v3_filter_0 @ SV127 )
              | ~ ( l3_lattices @ SV127 )
              | ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SY457 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8720]) ).

thf(8961,plain,
    ! [SV219: $i,SV201: $i,SV128: $i] :
      ( ( ( ( v3_struct_0 @ SV128 )
          | ~ ( v10_lattices @ SV128 )
          | ~ ( v11_lattices @ SV128 )
          | ~ ( l3_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV201 @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV219 @ SV128 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8721]) ).

thf(8962,plain,
    ! [SV220: $i,SV202: $i,SV129: $i] :
      ( ( ( ( v3_struct_0 @ SV129 )
          | ~ ( v10_lattices @ SV129 )
          | ~ ( v17_lattices @ SV129 )
          | ~ ( l3_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV202 @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV220 @ SV129 ) )
        = $true )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8722]) ).

thf(8963,plain,
    ! [SV203: $i,SV130: $i] :
      ( ( ( v3_struct_0 @ SV130 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV130 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV130 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV203 @ SV130 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k10_filter_0 @ SV130 @ SV203 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8723]) ).

thf(8964,plain,
    ! [SV131: $i] :
      ( ( ( l3_lattices @ SV131 )
        = $false )
      | ( ( v3_struct_0 @ SV131 )
        = $true )
      | ( ( v10_lattices @ SV131 )
        = $false )
      | ( ( ! [SY463: $i] :
              ( ~ ( m1_filter_0 @ SY463 @ SV131 )
              | ! [SY464: $i] :
                  ( ~ ( m1_filter_0 @ SY464 @ SV131 )
                  | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SY463 @ SY464 ) @ SV131 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8724]) ).

thf(8965,plain,
    ! [SV132: $i] :
      ( ( ( v10_lattices @ SV132 )
        = $false )
      | ( ( v3_struct_0 @ SV132 )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV132 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV132 ) )
        = $true )
      | ( ( ! [SY465: $i] :
              ( ~ ( m1_filter_0 @ SY465 @ SV132 )
              | ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SY465 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8725]) ).

thf(8966,plain,
    ! [SV221: $i,SV206: $i,SV135: $i] :
      ( ( ( ( v3_struct_0 @ SV135 )
          | ~ ( v10_lattices @ SV135 )
          | ~ ( l3_lattices @ SV135 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV206 @ SV135 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV221 @ SV135 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV135 @ SV206 @ SV221 )
          = ( k3_xboole_0 @ SV206 @ SV221 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8728]) ).

thf(8967,plain,
    ! [SV136: $i,SV230: $i] :
      ( ( ( m1_pre_topc @ SV230 @ SV136 )
        = $false )
      | ( ( r1_tarski @ ( u1_struct_0 @ SV230 ) @ ( u1_struct_0 @ SV136 ) )
        = $true )
      | ( ( l1_pre_topc @ SV136 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8729]) ).

thf(8968,plain,
    ! [SV207: $i,SV138: $i] :
      ( ( ( l1_struct_0 @ SV138 )
        = $false )
      | ( ( v3_struct_0 @ SV207 )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV207 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k17_grcat_1 @ SV138 @ SV207 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8730]) ).

thf(8969,plain,
    ! [SV139: $i,SV208: $i] :
      ( ( ( l1_struct_0 @ SV208 )
        = $false )
      | ( ( l1_struct_0 @ SV139 )
        = $false )
      | ( ( m5_grcat_1 @ ( sK3_C @ SV208 @ SV139 ) @ SV139 @ SV208 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8731]) ).

thf(8970,plain,
    ! [SV140: $i] :
      ( ( ( l3_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( ! [SY473: $i] :
              ( ( v3_struct_0 @ SY473 )
              | ~ ( v10_lattices @ SY473 )
              | ~ ( v11_lattices @ SY473 )
              | ~ ( l3_lattices @ SY473 )
              | ! [SY474: $i] :
                  ( ~ ( m1_lattice4 @ SY474 @ SY473 @ SV140 )
                  | ~ ( v2_lattice4 @ SY474 @ SY473 @ SV140 )
                  | ( v11_lattices @ SV140 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8732]) ).

thf(8971,plain,
    ! [SV141: $i] :
      ( ( ( v3_struct_0 @ SV141 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV141 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV141 ) )
        = $true )
      | ( ( v3_realset2 @ SV141 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV141 ) )
        = $true )
      | ( ( m1_lattice4 @ ( k13_lopclset @ SV141 ) @ SV141 @ ( k12_lopclset @ SV141 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8733]) ).

thf(8972,plain,
    ! [SV142: $i] :
      ( ( ( l1_pre_topc @ SV142 )
        = $false )
      | ( ( v3_struct_0 @ SV142 )
        = $true )
      | ( ( v2_pre_topc @ SV142 )
        = $false )
      | ( ( m1_subset_1 @ ( k2_pre_topc @ SV142 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8734]) ).

thf(8973,plain,
    ! [SV143: $i] :
      ( ( ( l1_pre_topc @ SV143 )
        = $false )
      | ( ( v3_struct_0 @ SV143 )
        = $true )
      | ( ( v2_pre_topc @ SV143 )
        = $false )
      | ( ( m1_subset_1 @ ( k1_pre_topc @ SV143 ) @ ( u1_struct_0 @ ( k6_lopclset @ SV143 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8735]) ).

thf(8974,plain,
    ! [SV144: $i] :
      ( ( ( v3_struct_0 @ SV144 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV144 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV144 ) )
        = $true )
      | ( ( v3_realset2 @ SV144 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV144 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV144 )
          = ( k2_relat_1 @ ( k9_lopclset @ SV144 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8736]) ).

thf(8975,plain,
    ! [SV145: $i] :
      ( ( ( v3_struct_0 @ SV145 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV145 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV145 ) )
        = $true )
      | ( ( v3_realset2 @ SV145 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV145 ) )
        = $true )
      | ( ( ( k3_tarski @ ( k10_lopclset @ SV145 ) )
          = ( k7_lopclset @ SV145 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8737]) ).

thf(8976,plain,
    ! [SV146: $i] :
      ( ( ( v3_struct_0 @ SV146 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV146 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV146 ) )
        = $true )
      | ( ( v3_realset2 @ SV146 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV146 ) )
        = $true )
      | ( ( r1_tarski @ ( k10_lopclset @ SV146 ) @ ( k1_lopclset @ ( k11_lopclset @ SV146 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8738]) ).

thf(8977,plain,
    ! [SV147: $i] :
      ( ( ( v3_struct_0 @ SV147 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV147 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV147 ) )
        = $true )
      | ( ( v3_realset2 @ SV147 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV147 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV147 )
          = ( k1_lopclset @ ( k11_lopclset @ SV147 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8739]) ).

thf(8978,plain,
    ! [SV148: $i] :
      ( ( ( v3_struct_0 @ SV148 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV148 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV148 ) )
        = $true )
      | ( ( v3_realset2 @ SV148 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV148 ) )
        = $true )
      | ( ( ( k2_relat_1 @ ( k13_lopclset @ SV148 ) )
          = ( u1_struct_0 @ ( k12_lopclset @ SV148 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8740]) ).

thf(8979,plain,
    ! [SV149: $i] :
      ( ( ( v3_struct_0 @ SV149 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV149 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV149 ) )
        = $true )
      | ( ( v3_realset2 @ SV149 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV149 ) )
        = $true )
      | ( ( v3_lattice4 @ ( k13_lopclset @ SV149 ) @ SV149 @ ( k12_lopclset @ SV149 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8741]) ).

thf(8980,plain,
    ! [SV150: $i] :
      ( ( ( l1_pre_topc @ SV150 )
        = $false )
      | ( ( v3_struct_0 @ SV150 )
        = $true )
      | ( ( v2_pre_topc @ SV150 )
        = $false )
      | ( ( ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8742]) ).

thf(8981,plain,
    ! [SV151: $i] :
      ( ( ( l3_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( ~ ( ~ ! [SY475: $i] :
                    ( ( v3_struct_0 @ SY475 )
                    | ~ ( v10_lattices @ SY475 )
                    | ~ ( l3_lattices @ SY475 )
                    | ~ ( v12_lattices @ SV151 )
                    | ~ ( v12_lattices @ SY475 )
                    | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY475 ) ) )
              | ~ ~ ( ~ ! [SY476: $i] :
                          ( ( v3_struct_0 @ SY476 )
                          | ~ ( v10_lattices @ SY476 )
                          | ~ ( l3_lattices @ SY476 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                          | ( v12_lattices @ SV151 ) )
                    | ~ ! [SY477: $i] :
                          ( ( v3_struct_0 @ SY477 )
                          | ~ ( v10_lattices @ SY477 )
                          | ~ ( l3_lattices @ SY477 )
                          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                          | ( v12_lattices @ SY477 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8743]) ).

thf(8982,plain,
    ! [SV152: $i] :
      ( ( ( l3_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( ~ ( ~ ! [SY478: $i] :
                    ( ( v3_struct_0 @ SY478 )
                    | ~ ( v10_lattices @ SY478 )
                    | ~ ( l3_lattices @ SY478 )
                    | ~ ( r1_filter_1 @ SV152 @ SY478 )
                    | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY478 ) ) )
              | ~ ! [SY479: $i] :
                    ( ( v3_struct_0 @ SY479 )
                    | ~ ( v10_lattices @ SY479 )
                    | ~ ( l3_lattices @ SY479 )
                    | ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY479 ) )
                    | ( r1_filter_1 @ SV152 @ SY479 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8744]) ).

thf(8983,plain,
    ! [SV153: $i] :
      ( ( ( l1_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( ~ ( ~ ! [SY480: $i] :
                    ( ~ ( m1_borsuk_1 @ SY480 @ SV153 )
                    | ~ ( v1_xboole_0 @ SY480 ) )
              | ~ ! [SY481: $i] :
                    ( ~ ( m1_borsuk_1 @ SY481 @ SV153 )
                    | ( m1_eqrel_1 @ SY481 @ ( u1_struct_0 @ SV153 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8745]) ).

thf(8984,plain,
    ( ( v1_relat_1 @ sK41_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8746]) ).

thf(8985,plain,
    ( ( v1_xboole_0 @ sK41_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8747]) ).

thf(8986,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8748]) ).

thf(8987,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8749]) ).

thf(8988,plain,
    ! [SV231: $i] :
      ( ( ( ( v3_struct_0 @ SV231 )
          | ~ ( v10_lattices @ SV231 )
          | ~ ( v17_lattices @ SV231 )
          | ( v3_realset2 @ SV231 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV231 ) )
        = $true )
      | ( ( l3_lattices @ ( k12_lopclset @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8750]) ).

thf(8989,plain,
    ! [SV232: $i] :
      ( ( ( l3_vectsp_1 @ SV232 )
        = $false )
      | ( ( l1_rlvect_1 @ SV232 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8751]) ).

thf(8990,plain,
    ! [SV233: $i] :
      ( ( ( l3_vectsp_1 @ SV233 )
        = $false )
      | ( ( l2_vectsp_1 @ SV233 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8752]) ).

thf(8991,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( l1_pre_topc @ SX0 )
          | ( v3_struct_0 @ SX1 )
          | ~ ( v2_pre_topc @ SX1 )
          | ~ ( l1_pre_topc @ SX1 )
          | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8753]) ).

thf(8992,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( l1_pre_topc @ SX0 )
          | ( v3_struct_0 @ SX1 )
          | ~ ( v2_pre_topc @ SX1 )
          | ~ ( l1_pre_topc @ SX1 )
          | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8754]) ).

thf(8993,plain,
    ! [SV298: $i,SV234: $i] :
      ( ( ( ( v3_struct_0 @ SV234 )
          | ~ ( v2_pre_topc @ SV234 )
          | ~ ( l1_pre_topc @ SV234 )
          | ( v3_struct_0 @ SV298 )
          | ~ ( v2_pre_topc @ SV298 )
          | ~ ( l1_pre_topc @ SV298 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8755]) ).

thf(8994,plain,
    ! [SV154: $i] :
      ( ( ( m1_pre_topc @ ( sK69_B @ SV154 ) @ SV154 )
        = $true )
      | ( ( l1_pre_topc @ SV154 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[8756]) ).

thf(8995,plain,
    ! [SV154: $i] :
      ( ( ( v1_pre_topc @ ( sK69_B @ SV154 ) )
        = $true )
      | ( ( l1_pre_topc @ SV154 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[8757]) ).

thf(8996,plain,
    ( ( l1_rlvect_1 @ sK58_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8758]) ).

thf(8997,plain,
    ( ( ~ ( v3_struct_0 @ sK58_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8759]) ).

thf(8998,plain,
    ( ( ~ ( ~ ( l1_pre_topc @ sK70_A )
          | ~ ~ ( v3_struct_0 @ sK70_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8760]) ).

thf(8999,plain,
    ( ( v1_pre_topc @ sK70_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8761]) ).

thf(9000,plain,
    ! [SV235: $i,SV299: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV299 )
          | ~ ( v1_xboole_0 @ SV235 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV299 @ SV235 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8762]) ).

thf(9001,plain,
    ! [SV236: $i,SV300: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV300 )
          | ~ ( v1_xboole_0 @ SV236 ) )
        = $true )
      | ( ( v1_xboole_0 @ ( k5_relat_1 @ SV300 @ SV236 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8763]) ).

thf(9002,plain,
    ! [SV155: $i] :
      ( ( ( ~ ~ ( ~ ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 )
                | ~ ( v1_pre_topc @ ( sK67_B @ SV155 ) ) )
          | ~ ( v2_pre_topc @ ( sK67_B @ SV155 ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( v2_pre_topc @ SV155 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8764]) ).

thf(9003,plain,
    ! [SV237: $i] :
      ( ( ( SV237 = k1_xboole_0 )
        = $false )
      | ( ( v1_xboole_0 @ SV237 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8765]) ).

thf(9004,plain,
    ! [SV238: $i] :
      ( ( ( v1_xboole_0 @ SV238 )
        = $false )
      | ( ( SV238 = k1_xboole_0 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8766]) ).

thf(9005,plain,
    ( ( l1_vectsp_1 @ sK61_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8767]) ).

thf(9006,plain,
    ( ( ~ ( v3_struct_0 @ sK61_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8768]) ).

thf(9007,plain,
    ! [SV239: $i] :
      ( ( ( v3_struct_0 @ SV239 )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV239 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8769]) ).

thf(9008,plain,
    ! [SV240: $i] :
      ( ( ( v3_struct_0 @ SV240 )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV240 ) )
        = $true )
      | ( ( v1_setfam_1 @ ( k15_borsuk_1 @ SV240 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8770]) ).

thf(9009,plain,
    ! [SV156: $i] :
      ( ( ( l3_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( ~ ( ~ ! [SY482: $i] :
                    ( ( v3_struct_0 @ SY482 )
                    | ~ ( v10_lattices @ SY482 )
                    | ~ ( l3_lattices @ SY482 )
                    | ! [SY483: $i] :
                        ( ~ ( m1_lattice4 @ SY483 @ SV156 @ SY482 )
                        | ~ ( v3_lattice4 @ SY483 @ SV156 @ SY482 ) )
                    | ( r1_filter_1 @ SV156 @ SY482 ) )
              | ~ ! [SY484: $i] :
                    ( ( v3_struct_0 @ SY484 )
                    | ~ ( v10_lattices @ SY484 )
                    | ~ ( l3_lattices @ SY484 )
                    | ~ ( r1_filter_1 @ SV156 @ SY484 )
                    | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 )
                        | ~ ( v3_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8771]) ).

thf(9010,plain,
    ( ( v1_funct_1 @ sK40_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8772]) ).

thf(9011,plain,
    ( ( v1_relat_1 @ sK40_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8773]) ).

thf(9012,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v15_lattices @ SX0 )
          | ~ ( v3_struct_0 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8774]) ).

thf(9013,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v15_lattices @ SX0 )
          | ( v13_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8775]) ).

thf(9014,plain,
    ! [SV241: $i] :
      ( ( ( l3_lattices @ SV241 )
        = $false )
      | ( ( ( v3_struct_0 @ SV241 )
          | ~ ( v15_lattices @ SV241 )
          | ( v14_lattices @ SV241 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8776]) ).

thf(9015,plain,
    ! [SV157: $i] :
      ( ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                                      ( ( v3_struct_0 @ SY485 )
                                      | ~ ( v10_lattices @ SY485 )
                                      | ~ ( l3_lattices @ SY485 )
                                      | ( v3_struct_0 @ SV157 )
                                      | ~ ( v10_lattices @ SV157 )
                                      | ~ ( v17_lattices @ SV157 )
                                      | ~ ( l3_lattices @ SV157 )
                                      | ( v3_struct_0 @ SY485 )
                                      | ~ ( v10_lattices @ SY485 )
                                      | ~ ( v17_lattices @ SY485 )
                                      | ~ ( l3_lattices @ SY485 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                                | ~ ! [SY486: $i] :
                                      ( ( v3_struct_0 @ SY486 )
                                      | ~ ( v10_lattices @ SY486 )
                                      | ~ ( l3_lattices @ SY486 )
                                      | ( v3_struct_0 @ SV157 )
                                      | ~ ( v10_lattices @ SV157 )
                                      | ~ ( v17_lattices @ SV157 )
                                      | ~ ( l3_lattices @ SV157 )
                                      | ( v3_struct_0 @ SY486 )
                                      | ~ ( v10_lattices @ SY486 )
                                      | ~ ( v17_lattices @ SY486 )
                                      | ~ ( l3_lattices @ SY486 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                          | ~ ! [SY487: $i] :
                                ( ( v3_struct_0 @ SY487 )
                                | ~ ( v10_lattices @ SY487 )
                                | ~ ( l3_lattices @ SY487 )
                                | ( v3_struct_0 @ SV157 )
                                | ~ ( v10_lattices @ SV157 )
                                | ~ ( v17_lattices @ SV157 )
                                | ~ ( l3_lattices @ SV157 )
                                | ( v3_struct_0 @ SY487 )
                                | ~ ( v10_lattices @ SY487 )
                                | ~ ( v17_lattices @ SY487 )
                                | ~ ( l3_lattices @ SY487 )
                                | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
                    | ~ ! [SY488: $i] :
                          ( ( v3_struct_0 @ SY488 )
                          | ~ ( v10_lattices @ SY488 )
                          | ~ ( l3_lattices @ SY488 )
                          | ( v3_struct_0 @ SV157 )
                          | ~ ( v10_lattices @ SV157 )
                          | ~ ( v17_lattices @ SV157 )
                          | ~ ( l3_lattices @ SV157 )
                          | ( v3_struct_0 @ SY488 )
                          | ~ ( v10_lattices @ SY488 )
                          | ~ ( v17_lattices @ SY488 )
                          | ~ ( l3_lattices @ SY488 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                              ( ( v3_struct_0 @ SY489 )
                                                              | ~ ( v10_lattices @ SY489 )
                                                              | ~ ( l3_lattices @ SY489 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                              | ~ ( v3_struct_0 @ SV157 ) )
                                                        | ~ ! [SY490: $i] :
                                                              ( ( v3_struct_0 @ SY490 )
                                                              | ~ ( v10_lattices @ SY490 )
                                                              | ~ ( l3_lattices @ SY490 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                              | ( v10_lattices @ SV157 ) ) )
                                                  | ~ ! [SY491: $i] :
                                                        ( ( v3_struct_0 @ SY491 )
                                                        | ~ ( v10_lattices @ SY491 )
                                                        | ~ ( l3_lattices @ SY491 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                        | ( v17_lattices @ SV157 ) ) )
                                            | ~ ! [SY492: $i] :
                                                  ( ( v3_struct_0 @ SY492 )
                                                  | ~ ( v10_lattices @ SY492 )
                                                  | ~ ( l3_lattices @ SY492 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                                  | ( l3_lattices @ SV157 ) ) )
                                      | ~ ! [SY493: $i] :
                                            ( ( v3_struct_0 @ SY493 )
                                            | ~ ( v10_lattices @ SY493 )
                                            | ~ ( l3_lattices @ SY493 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                            | ~ ( v3_struct_0 @ SY493 ) ) )
                                | ~ ! [SY494: $i] :
                                      ( ( v3_struct_0 @ SY494 )
                                      | ~ ( v10_lattices @ SY494 )
                                      | ~ ( l3_lattices @ SY494 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                      | ( v10_lattices @ SY494 ) ) )
                          | ~ ! [SY495: $i] :
                                ( ( v3_struct_0 @ SY495 )
                                | ~ ( v10_lattices @ SY495 )
                                | ~ ( l3_lattices @ SY495 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                                | ( v17_lattices @ SY495 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ( v3_struct_0 @ SY496 )
                          | ~ ( v10_lattices @ SY496 )
                          | ~ ( l3_lattices @ SY496 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                          | ( l3_lattices @ SY496 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8777]) ).

thf(9016,plain,
    ! [SV158: $i] :
      ( ( ( l3_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( ~ ( ~ ! [SY497: $i] :
                    ( ( v3_struct_0 @ SY497 )
                    | ~ ( v10_lattices @ SY497 )
                    | ~ ( l3_lattices @ SY497 )
                    | ~ ( v3_filter_0 @ SV158 )
                    | ~ ( v3_filter_0 @ SY497 )
                    | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY497 ) ) )
              | ~ ~ ( ~ ! [SY498: $i] :
                          ( ( v3_struct_0 @ SY498 )
                          | ~ ( v10_lattices @ SY498 )
                          | ~ ( l3_lattices @ SY498 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                          | ( v3_filter_0 @ SV158 ) )
                    | ~ ! [SY499: $i] :
                          ( ( v3_struct_0 @ SY499 )
                          | ~ ( v10_lattices @ SY499 )
                          | ~ ( l3_lattices @ SY499 )
                          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                          | ( v3_filter_0 @ SY499 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8778]) ).

thf(9017,plain,
    ! [SV242: $i] :
      ( ( ( v1_xboole_0 @ SV242 )
        = $false )
      | ( ( v1_relat_1 @ ( k1_relat_1 @ SV242 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8779]) ).

thf(9018,plain,
    ! [SV243: $i] :
      ( ( ( v1_xboole_0 @ SV243 )
        = $false )
      | ( ( v1_xboole_0 @ ( k1_relat_1 @ SV243 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8780]) ).

thf(9019,plain,
    ! [SV209: $i,SV159: $i] :
      ( ( ( l1_struct_0 @ SV159 )
        = $false )
      | ( ( v3_struct_0 @ SV209 )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV209 ) )
        = $true )
      | ( ( ~ ( ~ ( m5_grcat_1 @ ( sK4_C @ SV209 @ SV159 ) @ SV159 @ SV209 )
              | ~ ~ ( v1_xboole_0 @ ( sK4_C @ SV209 @ SV159 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8781]) ).

thf(9020,plain,
    ( ( l3_lattices @ sK73_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8782]) ).

thf(9021,plain,
    ( ( ~ ( v3_struct_0 @ sK73_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8783]) ).

thf(9022,plain,
    ! [SV301: $i,SV244: $i] :
      ( ( ( ( v3_struct_0 @ SV244 )
          | ~ ( l3_lattices @ SV244 )
          | ( v3_struct_0 @ SV301 )
          | ~ ( l3_lattices @ SV301 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV244 @ SV301 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8784]) ).

thf(9023,plain,
    ! [SV302: $i,SV245: $i] :
      ( ( ( ( v3_struct_0 @ SV245 )
          | ~ ( l3_lattices @ SV245 )
          | ( v3_struct_0 @ SV302 )
          | ~ ( l3_lattices @ SV302 ) )
        = $true )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV245 @ SV302 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8785]) ).

thf(9024,plain,
    ! [SV160: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                                        ( ( v3_struct_0 @ SY501 )
                                        | ~ ( l3_lattices @ SY501 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                        | ~ ( v3_struct_0 @ SV160 ) )
                                  | ~ ! [SY502: $i] :
                                        ( ( v3_struct_0 @ SY502 )
                                        | ~ ( l3_lattices @ SY502 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                        | ( v10_lattices @ SV160 ) ) )
                            | ~ ! [SY503: $i] :
                                  ( ( v3_struct_0 @ SY503 )
                                  | ~ ( l3_lattices @ SY503 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                  | ( l3_lattices @ SV160 ) ) )
                      | ~ ! [SY504: $i] :
                            ( ( v3_struct_0 @ SY504 )
                            | ~ ( l3_lattices @ SY504 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                            | ~ ( v3_struct_0 @ SY504 ) ) )
                | ~ ! [SY505: $i] :
                      ( ( v3_struct_0 @ SY505 )
                      | ~ ( l3_lattices @ SY505 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY505 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                      | ( v10_lattices @ SY505 ) ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[8786]) ).

thf(9025,plain,
    ! [SV160: $i] :
      ( ( ( ~ ! [SY506: $i] :
                ( ( v3_struct_0 @ SY506 )
                | ~ ( l3_lattices @ SY506 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY506 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
                | ( l3_lattices @ SY506 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[8786]) ).

thf(9026,plain,
    ! [SV246: $i] :
      ( ( ( l1_struct_0 @ SV246 )
        = $false )
      | ( ( ~ ( v1_realset1 @ ( u1_struct_0 @ SV246 ) )
          | ( v3_realset2 @ SV246 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8787]) ).

thf(9027,plain,
    ! [SV247: $i] :
      ( ( ( l1_struct_0 @ SV247 )
        = $false )
      | ( ( ~ ( v3_realset2 @ SV247 )
          | ( v1_realset1 @ ( u1_struct_0 @ SV247 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8788]) ).

thf(9028,plain,
    ! [SV303: $i,SV248: $i] :
      ( ( ( ( v3_struct_0 @ SV248 )
          | ~ ( l3_lattices @ SV248 )
          | ( v3_struct_0 @ SV303 )
          | ~ ( l3_lattices @ SV303 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV248 @ SV303 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8789]) ).

thf(9029,plain,
    ! [SV304: $i,SV249: $i] :
      ( ( ( ( v3_struct_0 @ SV249 )
          | ~ ( l3_lattices @ SV249 )
          | ( v3_struct_0 @ SV304 )
          | ~ ( l3_lattices @ SV304 ) )
        = $true )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV249 @ SV304 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8790]) ).

thf(9030,plain,
    ! [SV250: $i] :
      ( ( ( l1_struct_0 @ SV250 )
        = $false )
      | ( ( ~ ( v1_finset_1 @ ( u1_struct_0 @ SV250 ) )
          | ( v6_group_1 @ SV250 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8791]) ).

thf(9031,plain,
    ! [SV251: $i] :
      ( ( ( l1_struct_0 @ SV251 )
        = $false )
      | ( ( ~ ( v6_group_1 @ SV251 )
          | ( v1_finset_1 @ ( u1_struct_0 @ SV251 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8792]) ).

thf(9032,plain,
    ! [SV161: $i] :
      ( ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY507: $i] :
                    ( ~ ( m1_filter_0 @ SY507 @ SV161 )
                    | ( SY507
                      = ( k1_filter_0 @ SV161 ) )
                    | ~ ( v2_filter_0 @ SY507 @ SV161 )
                    | ( v1_filter_0 @ SY507 @ SV161 ) )
              | ~ ~ ( ~ ! [SY508: $i] :
                          ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                          | ~ ( v1_filter_0 @ SY508 @ SV161 )
                          | ( SY508
                           != ( k1_filter_0 @ SV161 ) ) )
                    | ~ ! [SY509: $i] :
                          ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                          | ~ ( v1_filter_0 @ SY509 @ SV161 )
                          | ( v2_filter_0 @ SY509 @ SV161 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8793]) ).

thf(9033,plain,
    ( ( l3_vectsp_1 @ sK13_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8794]) ).

thf(9034,plain,
    ( ( v3_vectsp_1 @ sK13_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8795]) ).

thf(9035,plain,
    ( ( l2_vectsp_1 @ sK60_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8796]) ).

thf(9036,plain,
    ( ( ~ ( v3_struct_0 @ sK60_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8797]) ).

thf(9037,plain,
    ! [SV252: $i] :
      ( ( ( l3_lattices @ SV252 )
        = $false )
      | ( ( l1_lattices @ SV252 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8798]) ).

thf(9038,plain,
    ! [SV253: $i] :
      ( ( ( l3_lattices @ SV253 )
        = $false )
      | ( ( l2_lattices @ SV253 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8799]) ).

thf(9039,plain,
    ! [SV254: $i] :
      ( ( ( l3_lattices @ SV254 )
        = $false )
      | ( ( ( v3_struct_0 @ SV254 )
          | ~ ( v13_lattices @ SV254 )
          | ~ ( v14_lattices @ SV254 )
          | ~ ( v3_struct_0 @ SV254 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8800]) ).

thf(9040,plain,
    ! [SV255: $i] :
      ( ( ( l3_lattices @ SV255 )
        = $false )
      | ( ( ( v3_struct_0 @ SV255 )
          | ~ ( v13_lattices @ SV255 )
          | ~ ( v14_lattices @ SV255 )
          | ( v15_lattices @ SV255 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8801]) ).

thf(9041,plain,
    ! [SV256: $i] :
      ( ( ( ( v3_struct_0 @ SV256 )
          | ~ ( v10_lattices @ SV256 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV256 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k1_lattice2 @ SV256 ) )
          | ( v14_lattices @ SV256 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8802]) ).

thf(9042,plain,
    ! [SV257: $i] :
      ( ( ( ( v3_struct_0 @ SV257 )
          | ~ ( v10_lattices @ SV257 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV257 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV257 )
          | ( v13_lattices @ ( k1_lattice2 @ SV257 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8803]) ).

thf(9043,plain,
    ! [SV258: $i] :
      ( ( ( v3_struct_0 @ SV258 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV258 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV258 )
          | ~ ( v14_lattices @ SV258 )
          | ( v15_lattices @ SV258 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8804]) ).

thf(9044,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v15_lattices @ SX0 )
          | ( v13_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8805]) ).

thf(9045,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v15_lattices @ SX0 )
          | ( v14_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8806]) ).

thf(9046,plain,
    ! [SV259: $i] :
      ( ( ( l1_struct_0 @ SV259 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV259 ) )
          | ( v3_struct_0 @ SV259 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8807]) ).

thf(9047,plain,
    ! [SV260: $i] :
      ( ( ( l1_struct_0 @ SV260 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV260 )
          | ( v1_xboole_0 @ ( u1_struct_0 @ SV260 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8808]) ).

thf(9048,plain,
    ! [SV162: $i] :
      ( ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY510: $i] :
                                ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                          | ~ ! [SY511: $i] :
                                ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                                | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
                    | ~ ! [SY512: $i] :
                          ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                          | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
              | ~ ! [SY513: $i] :
                    ( ~ ( m1_filter_0 @ SY513 @ SV162 )
                    | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8809]) ).

thf(9049,plain,
    ! [SV163: $i] :
      ( ( ( l1_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                                | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                          | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
                    | ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) )
              | ~ ( v1_borsuk_1 @ ( sK7_B @ SV163 ) @ SV163 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8810]) ).

thf(9050,plain,
    ! [SV261: $i] :
      ( ( ( ( v3_struct_0 @ SV261 )
          | ~ ( v10_lattices @ SV261 )
          | ~ ( v17_lattices @ SV261 )
          | ( v3_realset2 @ SV261 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV261 ) )
        = $true )
      | ( ( v1_funct_1 @ ( k8_lopclset @ SV261 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8811]) ).

thf(9051,plain,
    ! [SV262: $i] :
      ( ( ( ( v3_struct_0 @ SV262 )
          | ~ ( v10_lattices @ SV262 )
          | ~ ( v17_lattices @ SV262 )
          | ( v3_realset2 @ SV262 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV262 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k8_lopclset @ SV262 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8812]) ).

thf(9052,plain,
    ( ( l3_vectsp_1 @ sK56_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8813]) ).

thf(9053,plain,
    ( ( v3_vectsp_1 @ sK56_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8814]) ).

thf(9054,plain,
    ! [SV263: $i] :
      ( ( ( v1_xboole_0 @ SV263 )
        = $false )
      | ( ( v1_relat_1 @ ( k4_relat_1 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8815]) ).

thf(9055,plain,
    ! [SV264: $i] :
      ( ( ( v1_xboole_0 @ SV264 )
        = $false )
      | ( ( v1_xboole_0 @ ( k4_relat_1 @ SV264 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8816]) ).

thf(9056,plain,
    ! [SV265: $i] :
      ( ( ( v1_xboole_0 @ SV265 )
        = $false )
      | ( ( v1_relat_1 @ ( k2_relat_1 @ SV265 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8817]) ).

thf(9057,plain,
    ! [SV266: $i] :
      ( ( ( v1_xboole_0 @ SV266 )
        = $false )
      | ( ( v1_xboole_0 @ ( k2_relat_1 @ SV266 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8818]) ).

thf(9058,plain,
    ! [SV164: $i] :
      ( ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                                      ( ( v3_struct_0 @ SY514 )
                                      | ~ ( v10_lattices @ SY514 )
                                      | ~ ( l3_lattices @ SY514 )
                                      | ( v3_struct_0 @ SV164 )
                                      | ~ ( v10_lattices @ SV164 )
                                      | ~ ( v11_lattices @ SV164 )
                                      | ~ ( l3_lattices @ SV164 )
                                      | ( v3_struct_0 @ SY514 )
                                      | ~ ( v10_lattices @ SY514 )
                                      | ~ ( v11_lattices @ SY514 )
                                      | ~ ( l3_lattices @ SY514 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                                | ~ ! [SY515: $i] :
                                      ( ( v3_struct_0 @ SY515 )
                                      | ~ ( v10_lattices @ SY515 )
                                      | ~ ( l3_lattices @ SY515 )
                                      | ( v3_struct_0 @ SV164 )
                                      | ~ ( v10_lattices @ SV164 )
                                      | ~ ( v11_lattices @ SV164 )
                                      | ~ ( l3_lattices @ SV164 )
                                      | ( v3_struct_0 @ SY515 )
                                      | ~ ( v10_lattices @ SY515 )
                                      | ~ ( v11_lattices @ SY515 )
                                      | ~ ( l3_lattices @ SY515 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                          | ~ ! [SY516: $i] :
                                ( ( v3_struct_0 @ SY516 )
                                | ~ ( v10_lattices @ SY516 )
                                | ~ ( l3_lattices @ SY516 )
                                | ( v3_struct_0 @ SV164 )
                                | ~ ( v10_lattices @ SV164 )
                                | ~ ( v11_lattices @ SV164 )
                                | ~ ( l3_lattices @ SV164 )
                                | ( v3_struct_0 @ SY516 )
                                | ~ ( v10_lattices @ SY516 )
                                | ~ ( v11_lattices @ SY516 )
                                | ~ ( l3_lattices @ SY516 )
                                | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
                    | ~ ! [SY517: $i] :
                          ( ( v3_struct_0 @ SY517 )
                          | ~ ( v10_lattices @ SY517 )
                          | ~ ( l3_lattices @ SY517 )
                          | ( v3_struct_0 @ SV164 )
                          | ~ ( v10_lattices @ SV164 )
                          | ~ ( v11_lattices @ SV164 )
                          | ~ ( l3_lattices @ SV164 )
                          | ( v3_struct_0 @ SY517 )
                          | ~ ( v10_lattices @ SY517 )
                          | ~ ( v11_lattices @ SY517 )
                          | ~ ( l3_lattices @ SY517 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                              ( ( v3_struct_0 @ SY518 )
                                                              | ~ ( v10_lattices @ SY518 )
                                                              | ~ ( l3_lattices @ SY518 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                              | ~ ( v3_struct_0 @ SV164 ) )
                                                        | ~ ! [SY519: $i] :
                                                              ( ( v3_struct_0 @ SY519 )
                                                              | ~ ( v10_lattices @ SY519 )
                                                              | ~ ( l3_lattices @ SY519 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                              | ( v10_lattices @ SV164 ) ) )
                                                  | ~ ! [SY520: $i] :
                                                        ( ( v3_struct_0 @ SY520 )
                                                        | ~ ( v10_lattices @ SY520 )
                                                        | ~ ( l3_lattices @ SY520 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                        | ( v11_lattices @ SV164 ) ) )
                                            | ~ ! [SY521: $i] :
                                                  ( ( v3_struct_0 @ SY521 )
                                                  | ~ ( v10_lattices @ SY521 )
                                                  | ~ ( l3_lattices @ SY521 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                                  | ( l3_lattices @ SV164 ) ) )
                                      | ~ ! [SY522: $i] :
                                            ( ( v3_struct_0 @ SY522 )
                                            | ~ ( v10_lattices @ SY522 )
                                            | ~ ( l3_lattices @ SY522 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                            | ~ ( v3_struct_0 @ SY522 ) ) )
                                | ~ ! [SY523: $i] :
                                      ( ( v3_struct_0 @ SY523 )
                                      | ~ ( v10_lattices @ SY523 )
                                      | ~ ( l3_lattices @ SY523 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                      | ( v10_lattices @ SY523 ) ) )
                          | ~ ! [SY524: $i] :
                                ( ( v3_struct_0 @ SY524 )
                                | ~ ( v10_lattices @ SY524 )
                                | ~ ( l3_lattices @ SY524 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                                | ( v11_lattices @ SY524 ) ) )
                    | ~ ! [SY525: $i] :
                          ( ( v3_struct_0 @ SY525 )
                          | ~ ( v10_lattices @ SY525 )
                          | ~ ( l3_lattices @ SY525 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                          | ( l3_lattices @ SY525 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8819]) ).

thf(9059,plain,
    ! [SV165: $i] :
      ( ( ( l3_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( ~ ( ~ ! [SY526: $i] :
                    ( ( v3_struct_0 @ SY526 )
                    | ~ ( v10_lattices @ SY526 )
                    | ~ ( l3_lattices @ SY526 )
                    | ~ ( v15_lattices @ SV165 )
                    | ~ ( v15_lattices @ SY526 )
                    | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY526 ) ) )
              | ~ ~ ( ~ ! [SY527: $i] :
                          ( ( v3_struct_0 @ SY527 )
                          | ~ ( v10_lattices @ SY527 )
                          | ~ ( l3_lattices @ SY527 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                          | ( v15_lattices @ SV165 ) )
                    | ~ ! [SY528: $i] :
                          ( ( v3_struct_0 @ SY528 )
                          | ~ ( v10_lattices @ SY528 )
                          | ~ ( l3_lattices @ SY528 )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                          | ( v15_lattices @ SY528 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8820]) ).

thf(9060,plain,
    ! [SV267: $i] :
      ( ( ( l3_lattices @ SV267 )
        = $false )
      | ( ( l3_lattices @ ( k1_lattice2 @ SV267 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8821]) ).

thf(9061,plain,
    ! [SV268: $i] :
      ( ( ( l3_lattices @ SV268 )
        = $false )
      | ( ( v3_lattices @ ( k1_lattice2 @ SV268 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8822]) ).

thf(9062,plain,
    ! [SV166: $i] :
      ( ( ( ~ ~ ( ~ ( m1_pre_topc @ ( sK68_B @ SV166 ) @ SV166 )
                | ~ ~ ( v3_struct_0 @ ( sK68_B @ SV166 ) ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[8823]) ).

thf(9063,plain,
    ! [SV166: $i] :
      ( ( ( ~ ( v1_pre_topc @ ( sK68_B @ SV166 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[8823]) ).

thf(9064,plain,
    ! [SV167: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
                      | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
                | ~ ( v2_pre_topc @ ( sK8_B @ SV167 ) ) )
          | ~ ( v1_borsuk_1 @ ( sK8_B @ SV167 ) @ SV167 ) )
        = $false )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8824]) ).

thf(9065,plain,
    ( ( l3_vectsp_1 @ sK59_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8825]) ).

thf(9066,plain,
    ( ( ~ ( v3_struct_0 @ sK59_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8826]) ).

thf(9067,plain,
    ! [SV269: $i] :
      ( ( ( ( v3_struct_0 @ SV269 )
          | ~ ( v10_lattices @ SV269 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV269 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV269 )
          | ~ ( v3_filter_0 @ SV269 )
          | ( v1_lattice2 @ SV269 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8827]) ).

thf(9068,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v1_lattice2 @ SX0 )
          | ( v13_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8828]) ).

thf(9069,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v1_lattice2 @ SX0 )
          | ( v3_filter_0 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8829]) ).

thf(9070,plain,
    ! [SV270: $i] :
      ( ( ( v3_struct_0 @ SV270 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV270 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV270 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8830]) ).

thf(9071,plain,
    ! [SV271: $i] :
      ( ( ( v3_struct_0 @ SV271 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV271 ) )
        = $true )
      | ( ( v3_lattices @ ( k1_lattice2 @ SV271 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8831]) ).

thf(9072,plain,
    ! [SV272: $i] :
      ( ( ( ( v3_struct_0 @ SV272 )
          | ~ ( v10_lattices @ SV272 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV272 ) )
        = $true )
      | ( ( ~ ( v6_group_1 @ SV272 )
          | ( v6_group_1 @ ( k1_lattice2 @ SV272 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8832]) ).

thf(9073,plain,
    ! [SV273: $i] :
      ( ( ( ( v3_struct_0 @ SV273 )
          | ~ ( v10_lattices @ SV273 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV273 ) )
        = $true )
      | ( ( ~ ( v6_group_1 @ ( k1_lattice2 @ SV273 ) )
          | ( v6_group_1 @ SV273 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8833]) ).

thf(9074,plain,
    ! [SV168: $i] :
      ( ( ( l3_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( ~ ( ~ ! [SY529: $i] :
                    ( ( v3_struct_0 @ SY529 )
                    | ~ ( v10_lattices @ SY529 )
                    | ~ ( l3_lattices @ SY529 )
                    | ~ ( v14_lattices @ SV168 )
                    | ~ ( v14_lattices @ SY529 )
                    | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY529 ) ) )
              | ~ ~ ( ~ ! [SY530: $i] :
                          ( ( v3_struct_0 @ SY530 )
                          | ~ ( v10_lattices @ SY530 )
                          | ~ ( l3_lattices @ SY530 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                          | ( v14_lattices @ SV168 ) )
                    | ~ ! [SY531: $i] :
                          ( ( v3_struct_0 @ SY531 )
                          | ~ ( v10_lattices @ SY531 )
                          | ~ ( l3_lattices @ SY531 )
                          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                          | ( v14_lattices @ SY531 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8834]) ).

thf(9075,plain,
    ( ( ~ ( v3_struct_0 @ k22_borsuk_1 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8835]) ).

thf(9076,plain,
    ( ( v1_pre_topc @ k22_borsuk_1 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8836]) ).

thf(9077,plain,
    ! [SV274: $i] :
      ( ( ( l2_vectsp_1 @ SV274 )
        = $false )
      | ( ( l1_vectsp_1 @ SV274 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8837]) ).

thf(9078,plain,
    ! [SV275: $i] :
      ( ( ( l2_vectsp_1 @ SV275 )
        = $false )
      | ( ( l2_struct_0 @ SV275 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8838]) ).

thf(9079,plain,
    ( ( l1_lattices @ sK74_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8839]) ).

thf(9080,plain,
    ( ( ~ ( v3_struct_0 @ sK74_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8840]) ).

thf(9081,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( m1_filter_0 @ SX1 @ SX0 )
                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( m1_filter_0 @ SX1 @ SX0 )
                | ( v3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8841]) ).

thf(9082,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( m1_filter_0 @ SX1 @ SX0 )
          | ( v10_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8842]) ).

thf(9083,plain,
    ! [SV305: $i,SV276: $i] :
      ( ( ( ( v3_struct_0 @ SV276 )
          | ~ ( v10_lattices @ SV276 )
          | ~ ( l3_lattices @ SV276 )
          | ~ ( m1_filter_0 @ SV305 @ SV276 ) )
        = $true )
      | ( ( l3_lattices @ ( k5_filter_1 @ SV276 @ SV305 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8843]) ).

thf(9084,plain,
    ! [SV277: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV277 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV277 ) )
        = $true )
      | ( ( v3_pre_topc @ ( k2_pre_topc @ SV277 ) @ SV277 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8844]) ).

thf(9085,plain,
    ! [SV278: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV278 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV278 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV278 ) @ SV278 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8845]) ).

thf(9086,plain,
    ( ( l2_lattices @ sK75_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8846]) ).

thf(9087,plain,
    ( ( ~ ( v3_struct_0 @ sK75_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8847]) ).

thf(9088,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( l1_pre_topc @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( v2_pre_topc @ SX1 )
          | ~ ( l1_pre_topc @ SX1 )
          | ( v1_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8848]) ).

thf(9089,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( l1_pre_topc @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( v2_pre_topc @ SX1 )
          | ~ ( l1_pre_topc @ SX1 )
          | ( v2_pre_topc @ ( k6_borsuk_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8849]) ).

thf(9090,plain,
    ! [SV306: $i,SV279: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV279 )
          | ~ ( v2_pre_topc @ SV279 )
          | ~ ( v2_pre_topc @ SV306 )
          | ~ ( l1_pre_topc @ SV306 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k6_borsuk_1 @ SV279 @ SV306 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8850]) ).

thf(9091,plain,
    ( ( l1_group_1 @ sK62_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8851]) ).

thf(9092,plain,
    ( ( ~ ( v3_struct_0 @ sK62_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8852]) ).

thf(9093,plain,
    ! [SV280: $i] :
      ( ( ( l3_lattices @ SV280 )
        = $false )
      | ( ( ( v3_struct_0 @ SV280 )
          | ~ ( v11_lattices @ SV280 )
          | ~ ( v15_lattices @ SV280 )
          | ~ ( v16_lattices @ SV280 )
          | ~ ( v3_struct_0 @ SV280 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8853]) ).

thf(9094,plain,
    ! [SV281: $i] :
      ( ( ( l3_lattices @ SV281 )
        = $false )
      | ( ( ( v3_struct_0 @ SV281 )
          | ~ ( v11_lattices @ SV281 )
          | ~ ( v15_lattices @ SV281 )
          | ~ ( v16_lattices @ SV281 )
          | ( v17_lattices @ SV281 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8854]) ).

thf(9095,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( l1_pre_topc @ SX0 )
          | ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8855]) ).

thf(9096,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v2_pre_topc @ SX0 )
          | ~ ( l1_pre_topc @ SX0 )
          | ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8856]) ).

thf(9097,plain,
    ! [SV282: $i] :
      ( ( ( ( v3_struct_0 @ SV282 )
          | ~ ( v2_pre_topc @ SV282 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV282 ) )
        = $true )
      | ( ( l3_lattices @ ( k6_lopclset @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8857]) ).

thf(9098,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( v1_relat_1 @ SX0 )
          | ~ ( v1_xboole_0 @ SX0 )
          | ~ ( v1_funct_1 @ SX0 )
          | ( v1_funct_1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8858]) ).

thf(9099,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( v1_relat_1 @ SX0 )
          | ~ ( v1_xboole_0 @ SX0 )
          | ~ ( v1_funct_1 @ SX0 )
          | ( v1_relat_1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8859]) ).

thf(9100,plain,
    ! [SV283: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV283 )
          | ~ ( v1_xboole_0 @ SV283 ) )
        = $true )
      | ( ( ~ ( v1_funct_1 @ SV283 ) )
        = $true )
      | ( ( v2_funct_1 @ SV283 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8860]) ).

thf(9101,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8861]) ).

thf(9102,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8862]) ).

thf(9103,plain,
    ! [SV284: $i] :
      ( ( ( ( v3_struct_0 @ SV284 )
          | ~ ( v10_lattices @ SV284 )
          | ~ ( v17_lattices @ SV284 )
          | ( v3_realset2 @ SV284 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV284 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV284 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8863]) ).

thf(9104,plain,
    ! [SV285: $i,SV307: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV307 )
          | ~ ( v1_xboole_0 @ SV285 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV285 @ SV307 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8864]) ).

thf(9105,plain,
    ! [SV286: $i,SV308: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV308 )
          | ~ ( v1_xboole_0 @ SV286 ) )
        = $true )
      | ( ( v1_xboole_0 @ ( k5_relat_1 @ SV286 @ SV308 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8865]) ).

thf(9106,plain,
    ! [SV169: $i] :
      ( ( ( l3_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( ~ ( ~ ! [SY532: $i] :
                    ( ( v3_struct_0 @ SY532 )
                    | ~ ( v10_lattices @ SY532 )
                    | ~ ( l3_lattices @ SY532 )
                    | ~ ( v13_lattices @ SV169 )
                    | ~ ( v13_lattices @ SY532 )
                    | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY532 ) ) )
              | ~ ~ ( ~ ! [SY533: $i] :
                          ( ( v3_struct_0 @ SY533 )
                          | ~ ( v10_lattices @ SY533 )
                          | ~ ( l3_lattices @ SY533 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                          | ( v13_lattices @ SV169 ) )
                    | ~ ! [SY534: $i] :
                          ( ( v3_struct_0 @ SY534 )
                          | ~ ( v10_lattices @ SY534 )
                          | ~ ( l3_lattices @ SY534 )
                          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                          | ( v13_lattices @ SY534 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8866]) ).

thf(9107,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8867]) ).

thf(9108,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v3_realset2 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8868]) ).

thf(9109,plain,
    ! [SV287: $i] :
      ( ( ( ( v3_struct_0 @ SV287 )
          | ~ ( v10_lattices @ SV287 )
          | ~ ( v17_lattices @ SV287 )
          | ( v3_realset2 @ SV287 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV287 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k11_lopclset @ SV287 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8869]) ).

thf(9110,plain,
    ( ( ~ ( ~ ( v1_funct_1 @ sK39_A )
          | ~ ( v1_relat_1 @ sK39_A ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8870]) ).

thf(9111,plain,
    ( ( v2_funct_1 @ sK39_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8871]) ).

thf(9112,plain,
    ( ( ~ ( v3_struct_0 @ k3_vectsp_1 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8872]) ).

thf(9113,plain,
    ( ( v2_group_1 @ k3_vectsp_1 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8873]) ).

thf(9114,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                            ( ~ ( l3_lattices @ SX0 )
                            | ( v3_struct_0 @ SX0 )
                            | ~ ( v17_lattices @ SX0 )
                            | ~ ( v3_struct_0 @ SX0 ) )
                      | ~ ! [SX0: $i] :
                            ( ~ ( l3_lattices @ SX0 )
                            | ( v3_struct_0 @ SX0 )
                            | ~ ( v17_lattices @ SX0 )
                            | ( v11_lattices @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v13_lattices @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v14_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8874]) ).

thf(9115,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v15_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8875]) ).

thf(9116,plain,
    ! [SV288: $i] :
      ( ( ( l3_lattices @ SV288 )
        = $false )
      | ( ( ( v3_struct_0 @ SV288 )
          | ~ ( v17_lattices @ SV288 )
          | ( v16_lattices @ SV288 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8876]) ).

thf(9117,plain,
    ! [SV289: $i] :
      ( ( ( ( v3_struct_0 @ SV289 )
          | ~ ( v10_lattices @ SV289 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV289 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV289 )
          | ( v14_lattices @ ( k1_lattice2 @ SV289 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8877]) ).

thf(9118,plain,
    ! [SV290: $i] :
      ( ( ( ( v3_struct_0 @ SV290 )
          | ~ ( v10_lattices @ SV290 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV290 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k1_lattice2 @ SV290 ) )
          | ( v13_lattices @ SV290 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8878]) ).

thf(9119,plain,
    ! [SV291: $i] :
      ( ( ( l1_struct_0 @ SV291 )
        = $false )
      | ( ( ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
              | ~ ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
                    | ~ ( ( ( sK11_B @ SV291 )
                         != ( sK12_SY394 @ SV291 ) ) ) ) )
          | ( v3_realset2 @ SV291 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8879]) ).

thf(9120,plain,
    ! [SV292: $i] :
      ( ( ( l1_struct_0 @ SV292 )
        = $false )
      | ( ( ~ ( v3_realset2 @ SV292 )
          | ! [SY573: $i] :
              ( ~ ( m1_subset_1 @ SY573 @ ( u1_struct_0 @ SV292 ) )
              | ! [SY574: $i] :
                  ( ~ ( m1_subset_1 @ SY574 @ ( u1_struct_0 @ SV292 ) )
                  | ( SY573 = SY574 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8880]) ).

thf(9121,plain,
    ! [SV170: $i] :
      ( ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                            ( ( v3_struct_0 @ SY535 )
                                            | ~ ( v10_lattices @ SY535 )
                                            | ~ ( l3_lattices @ SY535 )
                                            | ( v3_struct_0 @ SV170 )
                                            | ~ ( v10_lattices @ SV170 )
                                            | ~ ( v15_lattices @ SV170 )
                                            | ~ ( v16_lattices @ SV170 )
                                            | ~ ( l3_lattices @ SV170 )
                                            | ( v3_struct_0 @ SY535 )
                                            | ~ ( v10_lattices @ SY535 )
                                            | ~ ( v15_lattices @ SY535 )
                                            | ~ ( v16_lattices @ SY535 )
                                            | ~ ( l3_lattices @ SY535 )
                                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                                      | ~ ! [SY536: $i] :
                                            ( ( v3_struct_0 @ SY536 )
                                            | ~ ( v10_lattices @ SY536 )
                                            | ~ ( l3_lattices @ SY536 )
                                            | ( v3_struct_0 @ SV170 )
                                            | ~ ( v10_lattices @ SV170 )
                                            | ~ ( v15_lattices @ SV170 )
                                            | ~ ( v16_lattices @ SV170 )
                                            | ~ ( l3_lattices @ SV170 )
                                            | ( v3_struct_0 @ SY536 )
                                            | ~ ( v10_lattices @ SY536 )
                                            | ~ ( v15_lattices @ SY536 )
                                            | ~ ( v16_lattices @ SY536 )
                                            | ~ ( l3_lattices @ SY536 )
                                            | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                                | ~ ! [SY537: $i] :
                                      ( ( v3_struct_0 @ SY537 )
                                      | ~ ( v10_lattices @ SY537 )
                                      | ~ ( l3_lattices @ SY537 )
                                      | ( v3_struct_0 @ SV170 )
                                      | ~ ( v10_lattices @ SV170 )
                                      | ~ ( v15_lattices @ SV170 )
                                      | ~ ( v16_lattices @ SV170 )
                                      | ~ ( l3_lattices @ SV170 )
                                      | ( v3_struct_0 @ SY537 )
                                      | ~ ( v10_lattices @ SY537 )
                                      | ~ ( v15_lattices @ SY537 )
                                      | ~ ( v16_lattices @ SY537 )
                                      | ~ ( l3_lattices @ SY537 )
                                      | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                          | ~ ! [SY538: $i] :
                                ( ( v3_struct_0 @ SY538 )
                                | ~ ( v10_lattices @ SY538 )
                                | ~ ( l3_lattices @ SY538 )
                                | ( v3_struct_0 @ SV170 )
                                | ~ ( v10_lattices @ SV170 )
                                | ~ ( v15_lattices @ SV170 )
                                | ~ ( v16_lattices @ SV170 )
                                | ~ ( l3_lattices @ SV170 )
                                | ( v3_struct_0 @ SY538 )
                                | ~ ( v10_lattices @ SY538 )
                                | ~ ( v15_lattices @ SY538 )
                                | ~ ( v16_lattices @ SY538 )
                                | ~ ( l3_lattices @ SY538 )
                                | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
                    | ~ ! [SY539: $i] :
                          ( ( v3_struct_0 @ SY539 )
                          | ~ ( v10_lattices @ SY539 )
                          | ~ ( l3_lattices @ SY539 )
                          | ( v3_struct_0 @ SV170 )
                          | ~ ( v10_lattices @ SV170 )
                          | ~ ( v15_lattices @ SV170 )
                          | ~ ( v16_lattices @ SV170 )
                          | ~ ( l3_lattices @ SV170 )
                          | ( v3_struct_0 @ SY539 )
                          | ~ ( v10_lattices @ SY539 )
                          | ~ ( v15_lattices @ SY539 )
                          | ~ ( v16_lattices @ SY539 )
                          | ~ ( l3_lattices @ SY539 )
                          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                          ( ( v3_struct_0 @ SY540 )
                                                                          | ~ ( v10_lattices @ SY540 )
                                                                          | ~ ( l3_lattices @ SY540 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                          | ~ ( v3_struct_0 @ SV170 ) )
                                                                    | ~ ! [SY541: $i] :
                                                                          ( ( v3_struct_0 @ SY541 )
                                                                          | ~ ( v10_lattices @ SY541 )
                                                                          | ~ ( l3_lattices @ SY541 )
                                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                          | ( v10_lattices @ SV170 ) ) )
                                                              | ~ ! [SY542: $i] :
                                                                    ( ( v3_struct_0 @ SY542 )
                                                                    | ~ ( v10_lattices @ SY542 )
                                                                    | ~ ( l3_lattices @ SY542 )
                                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                    | ( v15_lattices @ SV170 ) ) )
                                                        | ~ ! [SY543: $i] :
                                                              ( ( v3_struct_0 @ SY543 )
                                                              | ~ ( v10_lattices @ SY543 )
                                                              | ~ ( l3_lattices @ SY543 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                              | ( v16_lattices @ SV170 ) ) )
                                                  | ~ ! [SY544: $i] :
                                                        ( ( v3_struct_0 @ SY544 )
                                                        | ~ ( v10_lattices @ SY544 )
                                                        | ~ ( l3_lattices @ SY544 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                        | ( l3_lattices @ SV170 ) ) )
                                            | ~ ! [SY545: $i] :
                                                  ( ( v3_struct_0 @ SY545 )
                                                  | ~ ( v10_lattices @ SY545 )
                                                  | ~ ( l3_lattices @ SY545 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                                  | ~ ( v3_struct_0 @ SY545 ) ) )
                                      | ~ ! [SY546: $i] :
                                            ( ( v3_struct_0 @ SY546 )
                                            | ~ ( v10_lattices @ SY546 )
                                            | ~ ( l3_lattices @ SY546 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                            | ( v10_lattices @ SY546 ) ) )
                                | ~ ! [SY547: $i] :
                                      ( ( v3_struct_0 @ SY547 )
                                      | ~ ( v10_lattices @ SY547 )
                                      | ~ ( l3_lattices @ SY547 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                      | ( v15_lattices @ SY547 ) ) )
                          | ~ ! [SY548: $i] :
                                ( ( v3_struct_0 @ SY548 )
                                | ~ ( v10_lattices @ SY548 )
                                | ~ ( l3_lattices @ SY548 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                                | ( v16_lattices @ SY548 ) ) )
                    | ~ ! [SY549: $i] :
                          ( ( v3_struct_0 @ SY549 )
                          | ~ ( v10_lattices @ SY549 )
                          | ~ ( l3_lattices @ SY549 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                          | ( l3_lattices @ SY549 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8881]) ).

thf(9122,plain,
    ! [SV293: $i] :
      ( ( ( v3_struct_0 @ SV293 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV293 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV293 )
          | ~ ( v16_lattices @ SV293 )
          | ~ ( v11_lattices @ SV293 )
          | ( v17_lattices @ SV293 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8882]) ).

thf(9123,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v15_lattices @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v16_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8883]) ).

thf(9124,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v11_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8884]) ).

thf(9125,plain,
    ! [SV294: $i] :
      ( ( ( v3_struct_0 @ SV294 )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV294 ) )
        = $true )
      | ( ( ! [SY575: $i] :
              ( ( u1_struct_0 @ SV294 )
             != ( k1_tarski @ SY575 ) )
          | ( v3_realset2 @ SV294 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8885]) ).

thf(9126,plain,
    ! [SV295: $i] :
      ( ( ( v3_struct_0 @ SV295 )
        = $true )
      | ( ( ~ ( l1_struct_0 @ SV295 ) )
        = $true )
      | ( ( ~ ( v3_realset2 @ SV295 )
          | ( ( u1_struct_0 @ SV295 )
            = ( k1_tarski @ ( sK2_B @ SV295 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8886]) ).

thf(9127,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( m1_filter_0 @ SX1 @ SX0 )
          | ~ ( v3_struct_0 @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8887]) ).

thf(9128,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( m1_filter_0 @ SX1 @ SX0 )
          | ( v10_lattices @ ( k8_filter_0 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8888]) ).

thf(9129,plain,
    ! [SV309: $i,SV296: $i] :
      ( ( ( ( v3_struct_0 @ SV296 )
          | ~ ( v10_lattices @ SV296 )
          | ~ ( l3_lattices @ SV296 )
          | ~ ( m1_filter_0 @ SV309 @ SV296 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_0 @ SV296 @ SV309 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8889]) ).

thf(9130,plain,
    ( ( l1_rlvect_1 @ sK63_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8890]) ).

thf(9131,plain,
    ( ( ~ ( v3_struct_0 @ sK63_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8891]) ).

thf(9132,plain,
    ! [SV171: $i] :
      ( ( ( l3_lattices @ SV171 )
        = $false )
      | ( ( v3_struct_0 @ SV171 )
        = $true )
      | ( ( v10_lattices @ SV171 )
        = $false )
      | ( ( ~ ( ~ ( m2_lattice4 @ ( sK53_B @ SV171 ) @ SV171 )
              | ~ ~ ( v1_xboole_0 @ ( sK53_B @ SV171 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8892]) ).

thf(9133,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( v11_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( v11_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v11_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v11_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8893]) ).

thf(9134,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v11_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8894]) ).

thf(9135,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( v3_struct_0 @ SX0 ) )
                | ~ ! [SX0: $i] :
                      ( ( v3_struct_0 @ SX0 )
                      | ~ ( v10_lattices @ SX0 )
                      | ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                      | ( v10_lattices @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                | ( v11_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8895]) ).

thf(9136,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
          | ( l3_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[8896]) ).

thf(9137,plain,
    ! [SV1: $i,SV310: $i] :
      ( ( ( ~ ( m1_pre_topc @ SV310 @ SV1 ) )
        = $true )
      | ( ( v2_pre_topc @ SV310 )
        = $true )
      | ( ( l1_pre_topc @ SV1 )
        = $false )
      | ( ( v2_pre_topc @ SV1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[8897]) ).

thf(9138,plain,
    ! [SV16: $i,SV311: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV311 @ SV16 )
          | ( ( k3_filter_0 @ SV16 @ SV311 )
            = SV311 ) )
        = $true )
      | ( ( v10_lattices @ SV16 )
        = $false )
      | ( ( v3_struct_0 @ SV16 )
        = $true )
      | ( ( l3_lattices @ SV16 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8901]) ).

thf(9139,plain,
    ! [SV17: $i] :
      ( ( ( v3_filter_0 @ SV17 )
        = $false )
      | ( ( v3_struct_0 @ SV17 )
        = $true )
      | ( ( v10_lattices @ SV17 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV17 ) )
        = $true )
      | ( ( v14_lattices @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8902]) ).

thf(9140,plain,
    ! [SV18: $i] :
      ( ( ( v3_filter_0 @ SV18 )
        = $false )
      | ( ( v3_struct_0 @ SV18 )
        = $true )
      | ( ( v10_lattices @ SV18 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV18 ) )
        = $true )
      | ( ( v11_lattices @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8903]) ).

thf(9141,plain,
    ! [SV19: $i] :
      ( ( ( v17_lattices @ SV19 )
        = $false )
      | ( ( v3_struct_0 @ SV19 )
        = $true )
      | ( ( v10_lattices @ SV19 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV19 ) )
        = $true )
      | ( ( v3_filter_0 @ SV19 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8904]) ).

thf(9142,plain,
    ! [SV210: $i,SV172: $i,SV22: $i] :
      ( ( ( ( v3_struct_0 @ SV22 )
          | ~ ( v10_lattices @ SV22 )
          | ~ ( v17_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV172 @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV210 @ SV22 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8907]) ).

thf(9143,plain,
    ! [SV24: $i,SV312: $i] :
      ( ( ( ( v3_struct_0 @ SV312 )
          | ~ ( v10_lattices @ SV312 )
          | ~ ( l3_lattices @ SV312 )
          | ! [SY577: $i] :
              ( ( v3_struct_0 @ SY577 )
              | ~ ( v10_lattices @ SY577 )
              | ~ ( l3_lattices @ SY577 )
              | ~ ( r1_filter_1 @ SV24 @ SV312 )
              | ~ ( r1_filter_1 @ SV312 @ SY577 )
              | ( r1_filter_1 @ SV24 @ SY577 ) ) )
        = $true )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8909]) ).

thf(9144,plain,
    ! [SV25: $i,SV313: $i] :
      ( ( ( ( v3_struct_0 @ SV313 )
          | ~ ( v10_lattices @ SV313 )
          | ~ ( l3_lattices @ SV313 )
          | ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SV313 ) )
            = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SV313 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV25 )
        = $false )
      | ( ( v3_struct_0 @ SV25 )
        = $true )
      | ( ( l3_lattices @ SV25 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8910]) ).

thf(9145,plain,
    ! [SV26: $i,SV314: $i] :
      ( ( ( ( v3_struct_0 @ SV314 )
          | ~ ( v10_lattices @ SV314 )
          | ~ ( l3_lattices @ SV314 )
          | ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SV314 ) @ ( k8_filter_1 @ SV314 @ SV26 ) ) )
        = $true )
      | ( ( v10_lattices @ SV26 )
        = $false )
      | ( ( v3_struct_0 @ SV26 )
        = $true )
      | ( ( l3_lattices @ SV26 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8911]) ).

thf(9146,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( ( v3_struct_0 @ SV27 )
          | ~ ( v10_lattices @ SV27 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV27 ) )
        = $true )
      | ( ( v3_struct_0 @ SV173 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV27 @ SV173 )
          | ( r1_filter_1 @ SV173 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8912]) ).

thf(9147,plain,
    ! [SV211: $i,SV28: $i] :
      ( ( ( ( v3_struct_0 @ SV28 )
          | ~ ( v10_lattices @ SV28 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV28 ) )
        = $true )
      | ( ( v3_struct_0 @ SV211 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV211 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV211 ) )
        = $true )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8913]) ).

thf(9148,plain,
    ! [SV212: $i,SV174: $i,SV29: $i] :
      ( ( ( ( v3_struct_0 @ SV29 )
          | ~ ( v10_lattices @ SV29 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV29 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV174 @ SV29 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV212 @ SV29 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SV212 ) @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8914]) ).

thf(9149,plain,
    ! [SV213: $i,SV175: $i,SV30: $i] :
      ( ( ( ( v3_struct_0 @ SV30 )
          | ~ ( v10_lattices @ SV30 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV30 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV175 @ SV30 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV213 @ SV30 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV30 @ SV175 @ SV213 )
          = ( k1_filter_1 @ SV30 @ SV213 @ SV175 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8915]) ).

thf(9150,plain,
    ! [SV176: $i,SV31: $i] :
      ( ( ( v3_struct_0 @ SV31 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV31 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV31 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV176 @ SV31 ) )
        = $true )
      | ( ( ! [SY411: $i] :
              ~ ( m1_filter_0 @ SY411 @ SV31 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8916]) ).

thf(9151,plain,
    ! [SV38: $i,SV315: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV315 @ SV38 )
          | ( m2_lattice4 @ SV315 @ SV38 ) )
        = $true )
      | ( ( v10_lattices @ SV38 )
        = $false )
      | ( ( v3_struct_0 @ SV38 )
        = $true )
      | ( ( l3_lattices @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8923]) ).

thf(9152,plain,
    ! [SV39: $i] :
      ( ( ( v17_lattices @ SV39 )
        = $false )
      | ( ( v3_struct_0 @ SV39 )
        = $true )
      | ( ( v10_lattices @ SV39 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV39 ) )
        = $true )
      | ( ( m3_lattice4 @ ( u1_struct_0 @ SV39 ) @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8924]) ).

thf(9153,plain,
    ! [SV40: $i] :
      ( ( ( v17_lattices @ SV40 )
        = $false )
      | ( ( v3_struct_0 @ SV40 )
        = $true )
      | ( ( v10_lattices @ SV40 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV40 ) )
        = $true )
      | ( ( ! [SY413: $i] :
              ( ~ ( m3_lattice4 @ SY413 @ SV40 )
              | ( m2_lattice4 @ SY413 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8925]) ).

thf(9154,plain,
    ! [SV177: $i,SV41: $i] :
      ( ( ( ( v3_struct_0 @ SV41 )
          | ~ ( v10_lattices @ SV41 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV41 ) )
        = $true )
      | ( ( v3_struct_0 @ SV177 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV177 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV177 ) )
        = $true )
      | ( ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8926]) ).

thf(9155,plain,
    ! [SV43: $i] :
      ( ( ( v17_lattices @ SV43 )
        = $false )
      | ( ( v3_struct_0 @ SV43 )
        = $true )
      | ( ( v10_lattices @ SV43 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV43 ) )
        = $true )
      | ( ( m3_lattice4 @ ( sK49_B @ SV43 ) @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8928]) ).

thf(9156,plain,
    ! [SV44: $i] :
      ( ( ( v10_lattices @ SV44 )
        = $false )
      | ( ( v3_struct_0 @ SV44 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV44 ) )
        = $true )
      | ( ( v3_realset2 @ SV44 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV44 ) )
        = $true )
      | ( ( ( k9_lopclset @ SV44 )
          = ( k8_lopclset @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8929]) ).

thf(9157,plain,
    ! [SV45: $i] :
      ( ( ( v10_lattices @ SV45 )
        = $false )
      | ( ( v3_struct_0 @ SV45 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV45 ) )
        = $true )
      | ( ( v3_realset2 @ SV45 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV45 ) )
        = $true )
      | ( ( ( k13_lopclset @ SV45 )
          = ( k8_lopclset @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8930]) ).

thf(9158,plain,
    ! [SV47: $i] :
      ( ( ( v1_xboole_0 @ ( k1_lopclset @ SV47 ) )
        = $false )
      | ( ( v2_pre_topc @ SV47 )
        = $false )
      | ( ( v3_struct_0 @ SV47 )
        = $true )
      | ( ( l1_pre_topc @ SV47 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8931]) ).

thf(9159,plain,
    ! [SV50: $i] :
      ( ( ( v10_lattices @ SV50 )
        = $false )
      | ( ( v3_struct_0 @ SV50 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV50 ) )
        = $true )
      | ( ( v3_realset2 @ SV50 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV50 ) )
        = $true )
      | ( ( ( k7_lopclset @ SV50 )
          = ( a_1_1_lopclset @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8934]) ).

thf(9160,plain,
    ! [SV51: $i] :
      ( ( ( v10_lattices @ SV51 )
        = $false )
      | ( ( v3_struct_0 @ SV51 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV51 ) )
        = $true )
      | ( ( v3_realset2 @ SV51 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV51 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV51 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8935]) ).

thf(9161,plain,
    ! [SV52: $i] :
      ( ( ( v10_lattices @ SV52 )
        = $false )
      | ( ( v3_struct_0 @ SV52 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV52 ) )
        = $true )
      | ( ( v3_realset2 @ SV52 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV52 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k10_lopclset @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8936]) ).

thf(9162,plain,
    ! [SV53: $i] :
      ( ( ( v10_lattices @ SV53 )
        = $false )
      | ( ( v3_struct_0 @ SV53 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV53 ) )
        = $true )
      | ( ( v3_realset2 @ SV53 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV53 ) )
        = $true )
      | ( ( ( k12_lopclset @ SV53 )
          = ( k6_lopclset @ ( k11_lopclset @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8937]) ).

thf(9163,plain,
    ! [SV54: $i] :
      ( ( ( v10_lattices @ SV54 )
        = $false )
      | ( ( v3_struct_0 @ SV54 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV54 ) )
        = $true )
      | ( ( v3_realset2 @ SV54 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV54 ) )
        = $true )
      | ( ( v2_funct_1 @ ( k9_lopclset @ SV54 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8938]) ).

thf(9164,plain,
    ! [SV55: $i] :
      ( ( ( v10_lattices @ SV55 )
        = $false )
      | ( ( v3_struct_0 @ SV55 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV55 ) )
        = $true )
      | ( ( v3_realset2 @ SV55 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV55 ) )
        = $true )
      | ( ( r1_filter_1 @ SV55 @ ( k12_lopclset @ SV55 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8939]) ).

thf(9165,plain,
    ! [SV216: $i,SV183: $i,SV66: $i] :
      ( ( ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV66 @ SV183 @ SV216 ) )
        = $false )
      | ( ( v1_xboole_0 @ SV216 )
        = $true )
      | ( ( v1_xboole_0 @ SV183 )
        = $true )
      | ( ( v1_xboole_0 @ SV66 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8941]) ).

thf(9166,plain,
    ! [SV223: $i,SV217: $i,SV184: $i,SV67: $i] :
      ( ( ( ( v1_xboole_0 @ SV67 )
          | ( v1_xboole_0 @ SV184 ) )
        = $true )
      | ( ( v1_xboole_0 @ SV217 )
        = $true )
      | ( ( v1_xboole_0 @ SV223 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV67 @ SV184 @ SV217 @ SV223 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8942]) ).

thf(9167,plain,
    ! [SV226: $i,SV83: $i,SV316: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV316 )
          | ( ( k5_relat_1 @ ( k5_relat_1 @ SV83 @ SV226 ) @ SV316 )
            = ( k5_relat_1 @ SV83 @ ( k5_relat_1 @ SV226 @ SV316 ) ) ) )
        = $true )
      | ( ( v1_relat_1 @ SV226 )
        = $false )
      | ( ( v1_relat_1 @ SV83 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8949]) ).

thf(9168,plain,
    ! [SV200: $i,SV104: $i] :
      ( ( ( ~ ( r1_rfinseq @ SV104 @ SV200 ) )
        = $true )
      | ( ( r1_rfinseq @ SV200 @ SV104 )
        = $true )
      | ( ( v1_relat_1 @ SV104 )
        = $false )
      | ( ( v1_relat_1 @ SV200 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[8952]) ).

thf(9169,plain,
    ! [SV122: $i] :
      ( ( ( v17_lattices @ SV122 )
        = $false )
      | ( ( v3_struct_0 @ SV122 )
        = $true )
      | ( ( v10_lattices @ SV122 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV122 ) )
        = $true )
      | ( ( ! [SY452: $i] :
              ( ~ ( m1_filter_0 @ SY452 @ SV122 )
              | ! [SY453: $i] :
                  ( ~ ( m1_filter_0 @ SY453 @ SV122 )
                  | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SY452 @ SY453 ) )
                    = ( k7_filter_0 @ SV122 @ SY452 @ SY453 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8955]) ).

thf(9170,plain,
    ! [SV123: $i] :
      ( ( ( v10_lattices @ SV123 )
        = $false )
      | ( ( v3_struct_0 @ SV123 )
        = $true )
      | ( ( v3_lattices @ SV123 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV123 ) )
        = $true )
      | ( ( ( k8_filter_0 @ SV123 @ ( k1_filter_0 @ SV123 ) )
          = SV123 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8956]) ).

thf(9171,plain,
    ! [SV124: $i,SV317: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV317 @ SV124 )
          | ~ ( v14_lattices @ SV124 )
          | ( v14_lattices @ ( k8_filter_0 @ SV124 @ SV317 ) ) )
        = $true )
      | ( ( v10_lattices @ SV124 )
        = $false )
      | ( ( v3_struct_0 @ SV124 )
        = $true )
      | ( ( l3_lattices @ SV124 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8957]) ).

thf(9172,plain,
    ! [SV125: $i,SV318: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV318 @ SV125 )
          | ~ ( v12_lattices @ SV125 )
          | ( v12_lattices @ ( k8_filter_0 @ SV125 @ SV318 ) ) )
        = $true )
      | ( ( v10_lattices @ SV125 )
        = $false )
      | ( ( v3_struct_0 @ SV125 )
        = $true )
      | ( ( l3_lattices @ SV125 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8958]) ).

thf(9173,plain,
    ! [SV126: $i,SV319: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV319 @ SV126 )
          | ~ ( v11_lattices @ SV126 )
          | ( v11_lattices @ ( k8_filter_0 @ SV126 @ SV319 ) ) )
        = $true )
      | ( ( v10_lattices @ SV126 )
        = $false )
      | ( ( v3_struct_0 @ SV126 )
        = $true )
      | ( ( l3_lattices @ SV126 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8959]) ).

thf(9174,plain,
    ! [SV127: $i,SV320: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV320 @ SV127 )
          | ( v3_struct_0 @ SV127 )
          | ~ ( v10_lattices @ SV127 )
          | ~ ( v3_filter_0 @ SV127 )
          | ~ ( l3_lattices @ SV127 )
          | ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SV320 ) ) )
        = $true )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( l3_lattices @ SV127 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8960]) ).

thf(9175,plain,
    ! [SV219: $i,SV201: $i,SV128: $i] :
      ( ( ( ( v3_struct_0 @ SV128 )
          | ~ ( v10_lattices @ SV128 )
          | ~ ( v11_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV201 @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV219 @ SV128 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8961]) ).

thf(9176,plain,
    ! [SV220: $i,SV202: $i,SV129: $i] :
      ( ( ( ( v3_struct_0 @ SV129 )
          | ~ ( v10_lattices @ SV129 )
          | ~ ( v17_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV202 @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV220 @ SV129 ) )
        = $true )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8962]) ).

thf(9177,plain,
    ! [SV203: $i,SV130: $i] :
      ( ( ( v10_lattices @ SV130 )
        = $false )
      | ( ( v3_struct_0 @ SV130 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV130 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV203 @ SV130 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k10_filter_0 @ SV130 @ SV203 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8963]) ).

thf(9178,plain,
    ! [SV131: $i,SV321: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV321 @ SV131 )
          | ! [SY578: $i] :
              ( ~ ( m1_filter_0 @ SY578 @ SV131 )
              | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SV321 @ SY578 ) @ SV131 ) ) )
        = $true )
      | ( ( v10_lattices @ SV131 )
        = $false )
      | ( ( v3_struct_0 @ SV131 )
        = $true )
      | ( ( l3_lattices @ SV131 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8964]) ).

thf(9179,plain,
    ! [SV132: $i] :
      ( ( ( v3_filter_0 @ SV132 )
        = $false )
      | ( ( v3_struct_0 @ SV132 )
        = $true )
      | ( ( v10_lattices @ SV132 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV132 ) )
        = $true )
      | ( ( ! [SY465: $i] :
              ( ~ ( m1_filter_0 @ SY465 @ SV132 )
              | ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SY465 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8965]) ).

thf(9180,plain,
    ! [SV221: $i,SV206: $i,SV135: $i] :
      ( ( ( ( v3_struct_0 @ SV135 )
          | ~ ( v10_lattices @ SV135 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV135 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV206 @ SV135 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV221 @ SV135 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV135 @ SV206 @ SV221 )
          = ( k3_xboole_0 @ SV206 @ SV221 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8966]) ).

thf(9181,plain,
    ! [SV138: $i,SV207: $i] :
      ( ( ( l1_struct_0 @ SV207 )
        = $false )
      | ( ( v3_struct_0 @ SV207 )
        = $true )
      | ( ( l1_struct_0 @ SV138 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ ( k17_grcat_1 @ SV138 @ SV207 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8968]) ).

thf(9182,plain,
    ! [SV140: $i,SV322: $i] :
      ( ( ( ( v3_struct_0 @ SV322 )
          | ~ ( v10_lattices @ SV322 )
          | ~ ( v11_lattices @ SV322 )
          | ~ ( l3_lattices @ SV322 )
          | ! [SY579: $i] :
              ( ~ ( m1_lattice4 @ SY579 @ SV322 @ SV140 )
              | ~ ( v2_lattice4 @ SY579 @ SV322 @ SV140 )
              | ( v11_lattices @ SV140 ) ) )
        = $true )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[8970]) ).

thf(9183,plain,
    ! [SV141: $i] :
      ( ( ( v10_lattices @ SV141 )
        = $false )
      | ( ( v3_struct_0 @ SV141 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV141 ) )
        = $true )
      | ( ( v3_realset2 @ SV141 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV141 ) )
        = $true )
      | ( ( m1_lattice4 @ ( k13_lopclset @ SV141 ) @ SV141 @ ( k12_lopclset @ SV141 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8971]) ).

thf(9184,plain,
    ! [SV144: $i] :
      ( ( ( v10_lattices @ SV144 )
        = $false )
      | ( ( v3_struct_0 @ SV144 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV144 ) )
        = $true )
      | ( ( v3_realset2 @ SV144 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV144 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV144 )
          = ( k2_relat_1 @ ( k9_lopclset @ SV144 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8974]) ).

thf(9185,plain,
    ! [SV145: $i] :
      ( ( ( v10_lattices @ SV145 )
        = $false )
      | ( ( v3_struct_0 @ SV145 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV145 ) )
        = $true )
      | ( ( v3_realset2 @ SV145 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV145 ) )
        = $true )
      | ( ( ( k3_tarski @ ( k10_lopclset @ SV145 ) )
          = ( k7_lopclset @ SV145 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8975]) ).

thf(9186,plain,
    ! [SV146: $i] :
      ( ( ( v10_lattices @ SV146 )
        = $false )
      | ( ( v3_struct_0 @ SV146 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV146 ) )
        = $true )
      | ( ( v3_realset2 @ SV146 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV146 ) )
        = $true )
      | ( ( r1_tarski @ ( k10_lopclset @ SV146 ) @ ( k1_lopclset @ ( k11_lopclset @ SV146 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8976]) ).

thf(9187,plain,
    ! [SV147: $i] :
      ( ( ( v10_lattices @ SV147 )
        = $false )
      | ( ( v3_struct_0 @ SV147 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV147 ) )
        = $true )
      | ( ( v3_realset2 @ SV147 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV147 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV147 )
          = ( k1_lopclset @ ( k11_lopclset @ SV147 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8977]) ).

thf(9188,plain,
    ! [SV148: $i] :
      ( ( ( v10_lattices @ SV148 )
        = $false )
      | ( ( v3_struct_0 @ SV148 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV148 ) )
        = $true )
      | ( ( v3_realset2 @ SV148 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV148 ) )
        = $true )
      | ( ( ( k2_relat_1 @ ( k13_lopclset @ SV148 ) )
          = ( u1_struct_0 @ ( k12_lopclset @ SV148 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8978]) ).

thf(9189,plain,
    ! [SV149: $i] :
      ( ( ( v10_lattices @ SV149 )
        = $false )
      | ( ( v3_struct_0 @ SV149 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV149 ) )
        = $true )
      | ( ( v3_realset2 @ SV149 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV149 ) )
        = $true )
      | ( ( v3_lattice4 @ ( k13_lopclset @ SV149 ) @ SV149 @ ( k12_lopclset @ SV149 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[8979]) ).

thf(9190,plain,
    ! [SV150: $i] :
      ( ( ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV150 ) )
        = $false )
      | ( ( v2_pre_topc @ SV150 )
        = $false )
      | ( ( v3_struct_0 @ SV150 )
        = $true )
      | ( ( l1_pre_topc @ SV150 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8980]) ).

thf(9191,plain,
    ! [SV151: $i] :
      ( ( ( ~ ! [SY475: $i] :
                ( ( v3_struct_0 @ SY475 )
                | ~ ( v10_lattices @ SY475 )
                | ~ ( l3_lattices @ SY475 )
                | ~ ( v12_lattices @ SV151 )
                | ~ ( v12_lattices @ SY475 )
                | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY475 ) ) )
          | ~ ~ ( ~ ! [SY476: $i] :
                      ( ( v3_struct_0 @ SY476 )
                      | ~ ( v10_lattices @ SY476 )
                      | ~ ( l3_lattices @ SY476 )
                      | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                      | ( v12_lattices @ SV151 ) )
                | ~ ! [SY477: $i] :
                      ( ( v3_struct_0 @ SY477 )
                      | ~ ( v10_lattices @ SY477 )
                      | ~ ( l3_lattices @ SY477 )
                      | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                      | ( v12_lattices @ SY477 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8981]) ).

thf(9192,plain,
    ! [SV152: $i] :
      ( ( ( ~ ! [SY478: $i] :
                ( ( v3_struct_0 @ SY478 )
                | ~ ( v10_lattices @ SY478 )
                | ~ ( l3_lattices @ SY478 )
                | ~ ( r1_filter_1 @ SV152 @ SY478 )
                | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY478 ) ) )
          | ~ ! [SY479: $i] :
                ( ( v3_struct_0 @ SY479 )
                | ~ ( v10_lattices @ SY479 )
                | ~ ( l3_lattices @ SY479 )
                | ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY479 ) )
                | ( r1_filter_1 @ SV152 @ SY479 ) ) )
        = $false )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8982]) ).

thf(9193,plain,
    ! [SV153: $i] :
      ( ( ( ~ ! [SY480: $i] :
                ( ~ ( m1_borsuk_1 @ SY480 @ SV153 )
                | ~ ( v1_xboole_0 @ SY480 ) )
          | ~ ! [SY481: $i] :
                ( ~ ( m1_borsuk_1 @ SY481 @ SV153 )
                | ( m1_eqrel_1 @ SY481 @ ( u1_struct_0 @ SV153 ) ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[8983]) ).

thf(9194,plain,
    ! [SV323: $i] :
      ( ( ( v3_struct_0 @ SV323 )
        | ~ ( v10_lattices @ SV323 )
        | ~ ( v17_lattices @ SV323 )
        | ( v3_realset2 @ SV323 )
        | ~ ( l3_lattices @ SV323 )
        | ~ ( v3_struct_0 @ ( k12_lopclset @ SV323 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8986]) ).

thf(9195,plain,
    ! [SV324: $i] :
      ( ( ( v3_struct_0 @ SV324 )
        | ~ ( v10_lattices @ SV324 )
        | ~ ( v17_lattices @ SV324 )
        | ( v3_realset2 @ SV324 )
        | ~ ( l3_lattices @ SV324 )
        | ( v10_lattices @ ( k12_lopclset @ SV324 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8987]) ).

thf(9196,plain,
    ! [SV231: $i] :
      ( ( ( ( v3_struct_0 @ SV231 )
          | ~ ( v10_lattices @ SV231 )
          | ~ ( v17_lattices @ SV231 ) )
        = $true )
      | ( ( v3_realset2 @ SV231 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV231 ) )
        = $true )
      | ( ( l3_lattices @ ( k12_lopclset @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8988]) ).

thf(9197,plain,
    ! [SV325: $i] :
      ( ( ! [SY580: $i] :
            ( ( v3_struct_0 @ SV325 )
            | ~ ( v2_pre_topc @ SV325 )
            | ~ ( l1_pre_topc @ SV325 )
            | ( v3_struct_0 @ SY580 )
            | ~ ( v2_pre_topc @ SY580 )
            | ~ ( l1_pre_topc @ SY580 )
            | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SY580 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8991]) ).

thf(9198,plain,
    ! [SV326: $i] :
      ( ( ! [SY581: $i] :
            ( ( v3_struct_0 @ SV326 )
            | ~ ( v2_pre_topc @ SV326 )
            | ~ ( l1_pre_topc @ SV326 )
            | ( v3_struct_0 @ SY581 )
            | ~ ( v2_pre_topc @ SY581 )
            | ~ ( l1_pre_topc @ SY581 )
            | ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SY581 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8992]) ).

thf(9199,plain,
    ! [SV298: $i,SV234: $i] :
      ( ( ( ( v3_struct_0 @ SV234 )
          | ~ ( v2_pre_topc @ SV234 )
          | ~ ( l1_pre_topc @ SV234 )
          | ( v3_struct_0 @ SV298 )
          | ~ ( v2_pre_topc @ SV298 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV298 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8993]) ).

thf(9200,plain,
    ( ( v3_struct_0 @ sK58_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8997]) ).

thf(9201,plain,
    ( ( ~ ( l1_pre_topc @ sK70_A )
      | ~ ~ ( v3_struct_0 @ sK70_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8998]) ).

thf(9202,plain,
    ! [SV235: $i,SV299: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV299 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV235 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV299 @ SV235 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9000]) ).

thf(9203,plain,
    ! [SV236: $i,SV300: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV300 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV236 ) )
        = $true )
      | ( ( v1_xboole_0 @ ( k5_relat_1 @ SV300 @ SV236 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9001]) ).

thf(9204,plain,
    ! [SV155: $i] :
      ( ( ( ~ ~ ( ~ ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 )
                | ~ ( v1_pre_topc @ ( sK67_B @ SV155 ) ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( v2_pre_topc @ SV155 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9002]) ).

thf(9205,plain,
    ! [SV155: $i] :
      ( ( ( ~ ( v2_pre_topc @ ( sK67_B @ SV155 ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( v2_pre_topc @ SV155 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9002]) ).

thf(9206,plain,
    ( ( v3_struct_0 @ sK61_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9006]) ).

thf(9207,plain,
    ! [SV239: $i] :
      ( ( ( l1_struct_0 @ SV239 )
        = $false )
      | ( ( v3_struct_0 @ SV239 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k15_borsuk_1 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9007]) ).

thf(9208,plain,
    ! [SV240: $i] :
      ( ( ( l1_struct_0 @ SV240 )
        = $false )
      | ( ( v3_struct_0 @ SV240 )
        = $true )
      | ( ( v1_setfam_1 @ ( k15_borsuk_1 @ SV240 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9008]) ).

thf(9209,plain,
    ! [SV156: $i] :
      ( ( ( ~ ! [SY482: $i] :
                ( ( v3_struct_0 @ SY482 )
                | ~ ( v10_lattices @ SY482 )
                | ~ ( l3_lattices @ SY482 )
                | ! [SY483: $i] :
                    ( ~ ( m1_lattice4 @ SY483 @ SV156 @ SY482 )
                    | ~ ( v3_lattice4 @ SY483 @ SV156 @ SY482 ) )
                | ( r1_filter_1 @ SV156 @ SY482 ) )
          | ~ ! [SY484: $i] :
                ( ( v3_struct_0 @ SY484 )
                | ~ ( v10_lattices @ SY484 )
                | ~ ( l3_lattices @ SY484 )
                | ~ ( r1_filter_1 @ SV156 @ SY484 )
                | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 )
                    | ~ ( v3_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9009]) ).

thf(9210,plain,
    ! [SV327: $i] :
      ( ( ~ ( l3_lattices @ SV327 )
        | ( v3_struct_0 @ SV327 )
        | ~ ( v15_lattices @ SV327 )
        | ~ ( v3_struct_0 @ SV327 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9012]) ).

thf(9211,plain,
    ! [SV328: $i] :
      ( ( ~ ( l3_lattices @ SV328 )
        | ( v3_struct_0 @ SV328 )
        | ~ ( v15_lattices @ SV328 )
        | ( v13_lattices @ SV328 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9013]) ).

thf(9212,plain,
    ! [SV241: $i] :
      ( ( ( ( v3_struct_0 @ SV241 )
          | ~ ( v15_lattices @ SV241 ) )
        = $true )
      | ( ( v14_lattices @ SV241 )
        = $true )
      | ( ( l3_lattices @ SV241 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9014]) ).

thf(9213,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                                  ( ( v3_struct_0 @ SY485 )
                                  | ~ ( v10_lattices @ SY485 )
                                  | ~ ( l3_lattices @ SY485 )
                                  | ( v3_struct_0 @ SV157 )
                                  | ~ ( v10_lattices @ SV157 )
                                  | ~ ( v17_lattices @ SV157 )
                                  | ~ ( l3_lattices @ SV157 )
                                  | ( v3_struct_0 @ SY485 )
                                  | ~ ( v10_lattices @ SY485 )
                                  | ~ ( v17_lattices @ SY485 )
                                  | ~ ( l3_lattices @ SY485 )
                                  | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                            | ~ ! [SY486: $i] :
                                  ( ( v3_struct_0 @ SY486 )
                                  | ~ ( v10_lattices @ SY486 )
                                  | ~ ( l3_lattices @ SY486 )
                                  | ( v3_struct_0 @ SV157 )
                                  | ~ ( v10_lattices @ SV157 )
                                  | ~ ( v17_lattices @ SV157 )
                                  | ~ ( l3_lattices @ SV157 )
                                  | ( v3_struct_0 @ SY486 )
                                  | ~ ( v10_lattices @ SY486 )
                                  | ~ ( v17_lattices @ SY486 )
                                  | ~ ( l3_lattices @ SY486 )
                                  | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                      | ~ ! [SY487: $i] :
                            ( ( v3_struct_0 @ SY487 )
                            | ~ ( v10_lattices @ SY487 )
                            | ~ ( l3_lattices @ SY487 )
                            | ( v3_struct_0 @ SV157 )
                            | ~ ( v10_lattices @ SV157 )
                            | ~ ( v17_lattices @ SV157 )
                            | ~ ( l3_lattices @ SV157 )
                            | ( v3_struct_0 @ SY487 )
                            | ~ ( v10_lattices @ SY487 )
                            | ~ ( v17_lattices @ SY487 )
                            | ~ ( l3_lattices @ SY487 )
                            | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
                | ~ ! [SY488: $i] :
                      ( ( v3_struct_0 @ SY488 )
                      | ~ ( v10_lattices @ SY488 )
                      | ~ ( l3_lattices @ SY488 )
                      | ( v3_struct_0 @ SV157 )
                      | ~ ( v10_lattices @ SV157 )
                      | ~ ( v17_lattices @ SV157 )
                      | ~ ( l3_lattices @ SV157 )
                      | ( v3_struct_0 @ SY488 )
                      | ~ ( v10_lattices @ SY488 )
                      | ~ ( v17_lattices @ SY488 )
                      | ~ ( l3_lattices @ SY488 )
                      | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                          ( ( v3_struct_0 @ SY489 )
                                                          | ~ ( v10_lattices @ SY489 )
                                                          | ~ ( l3_lattices @ SY489 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                          | ~ ( v3_struct_0 @ SV157 ) )
                                                    | ~ ! [SY490: $i] :
                                                          ( ( v3_struct_0 @ SY490 )
                                                          | ~ ( v10_lattices @ SY490 )
                                                          | ~ ( l3_lattices @ SY490 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                          | ( v10_lattices @ SV157 ) ) )
                                              | ~ ! [SY491: $i] :
                                                    ( ( v3_struct_0 @ SY491 )
                                                    | ~ ( v10_lattices @ SY491 )
                                                    | ~ ( l3_lattices @ SY491 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                    | ( v17_lattices @ SV157 ) ) )
                                        | ~ ! [SY492: $i] :
                                              ( ( v3_struct_0 @ SY492 )
                                              | ~ ( v10_lattices @ SY492 )
                                              | ~ ( l3_lattices @ SY492 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                              | ( l3_lattices @ SV157 ) ) )
                                  | ~ ! [SY493: $i] :
                                        ( ( v3_struct_0 @ SY493 )
                                        | ~ ( v10_lattices @ SY493 )
                                        | ~ ( l3_lattices @ SY493 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                        | ~ ( v3_struct_0 @ SY493 ) ) )
                            | ~ ! [SY494: $i] :
                                  ( ( v3_struct_0 @ SY494 )
                                  | ~ ( v10_lattices @ SY494 )
                                  | ~ ( l3_lattices @ SY494 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                  | ( v10_lattices @ SY494 ) ) )
                      | ~ ! [SY495: $i] :
                            ( ( v3_struct_0 @ SY495 )
                            | ~ ( v10_lattices @ SY495 )
                            | ~ ( l3_lattices @ SY495 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                            | ( v17_lattices @ SY495 ) ) )
                | ~ ! [SY496: $i] :
                      ( ( v3_struct_0 @ SY496 )
                      | ~ ( v10_lattices @ SY496 )
                      | ~ ( l3_lattices @ SY496 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                      | ( l3_lattices @ SY496 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9015]) ).

thf(9214,plain,
    ! [SV158: $i] :
      ( ( ( ~ ! [SY497: $i] :
                ( ( v3_struct_0 @ SY497 )
                | ~ ( v10_lattices @ SY497 )
                | ~ ( l3_lattices @ SY497 )
                | ~ ( v3_filter_0 @ SV158 )
                | ~ ( v3_filter_0 @ SY497 )
                | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY497 ) ) )
          | ~ ~ ( ~ ! [SY498: $i] :
                      ( ( v3_struct_0 @ SY498 )
                      | ~ ( v10_lattices @ SY498 )
                      | ~ ( l3_lattices @ SY498 )
                      | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                      | ( v3_filter_0 @ SV158 ) )
                | ~ ! [SY499: $i] :
                      ( ( v3_struct_0 @ SY499 )
                      | ~ ( v10_lattices @ SY499 )
                      | ~ ( l3_lattices @ SY499 )
                      | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                      | ( v3_filter_0 @ SY499 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9016]) ).

thf(9215,plain,
    ! [SV159: $i,SV209: $i] :
      ( ( ( l1_struct_0 @ SV209 )
        = $false )
      | ( ( v3_struct_0 @ SV209 )
        = $true )
      | ( ( l1_struct_0 @ SV159 )
        = $false )
      | ( ( ~ ( ~ ( m5_grcat_1 @ ( sK4_C @ SV209 @ SV159 ) @ SV159 @ SV209 )
              | ~ ~ ( v1_xboole_0 @ ( sK4_C @ SV209 @ SV159 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9019]) ).

thf(9216,plain,
    ( ( v3_struct_0 @ sK73_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9021]) ).

thf(9217,plain,
    ! [SV301: $i,SV244: $i] :
      ( ( ( ( v3_struct_0 @ SV244 )
          | ~ ( l3_lattices @ SV244 )
          | ( v3_struct_0 @ SV301 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV301 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV244 @ SV301 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9022]) ).

thf(9218,plain,
    ! [SV302: $i,SV245: $i] :
      ( ( ( ( v3_struct_0 @ SV245 )
          | ~ ( l3_lattices @ SV245 )
          | ( v3_struct_0 @ SV302 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV302 ) )
        = $true )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV245 @ SV302 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9023]) ).

thf(9219,plain,
    ! [SV160: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                                      ( ( v3_struct_0 @ SY501 )
                                      | ~ ( l3_lattices @ SY501 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                      | ~ ( v3_struct_0 @ SV160 ) )
                                | ~ ! [SY502: $i] :
                                      ( ( v3_struct_0 @ SY502 )
                                      | ~ ( l3_lattices @ SY502 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                      | ( v10_lattices @ SV160 ) ) )
                          | ~ ! [SY503: $i] :
                                ( ( v3_struct_0 @ SY503 )
                                | ~ ( l3_lattices @ SY503 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                                | ( l3_lattices @ SV160 ) ) )
                    | ~ ! [SY504: $i] :
                          ( ( v3_struct_0 @ SY504 )
                          | ~ ( l3_lattices @ SY504 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                          | ~ ( v3_struct_0 @ SY504 ) ) )
              | ~ ! [SY505: $i] :
                    ( ( v3_struct_0 @ SY505 )
                    | ~ ( l3_lattices @ SY505 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY505 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                    | ( v10_lattices @ SY505 ) ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9024]) ).

thf(9220,plain,
    ! [SV160: $i] :
      ( ( ( ! [SY506: $i] :
              ( ( v3_struct_0 @ SY506 )
              | ~ ( l3_lattices @ SY506 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY506 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY506 ) )
              | ( l3_lattices @ SY506 ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9025]) ).

thf(9221,plain,
    ! [SV246: $i] :
      ( ( ( ~ ( v1_realset1 @ ( u1_struct_0 @ SV246 ) ) )
        = $true )
      | ( ( v3_realset2 @ SV246 )
        = $true )
      | ( ( l1_struct_0 @ SV246 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9026]) ).

thf(9222,plain,
    ! [SV247: $i] :
      ( ( ( ~ ( v3_realset2 @ SV247 ) )
        = $true )
      | ( ( v1_realset1 @ ( u1_struct_0 @ SV247 ) )
        = $true )
      | ( ( l1_struct_0 @ SV247 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9027]) ).

thf(9223,plain,
    ! [SV303: $i,SV248: $i] :
      ( ( ( ( v3_struct_0 @ SV248 )
          | ~ ( l3_lattices @ SV248 )
          | ( v3_struct_0 @ SV303 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV303 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV248 @ SV303 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9028]) ).

thf(9224,plain,
    ! [SV304: $i,SV249: $i] :
      ( ( ( ( v3_struct_0 @ SV249 )
          | ~ ( l3_lattices @ SV249 )
          | ( v3_struct_0 @ SV304 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV304 ) )
        = $true )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV249 @ SV304 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9029]) ).

thf(9225,plain,
    ! [SV250: $i] :
      ( ( ( ~ ( v1_finset_1 @ ( u1_struct_0 @ SV250 ) ) )
        = $true )
      | ( ( v6_group_1 @ SV250 )
        = $true )
      | ( ( l1_struct_0 @ SV250 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9030]) ).

thf(9226,plain,
    ! [SV251: $i] :
      ( ( ( ~ ( v6_group_1 @ SV251 ) )
        = $true )
      | ( ( v1_finset_1 @ ( u1_struct_0 @ SV251 ) )
        = $true )
      | ( ( l1_struct_0 @ SV251 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9031]) ).

thf(9227,plain,
    ! [SV161: $i] :
      ( ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV161 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY507: $i] :
                    ( ~ ( m1_filter_0 @ SY507 @ SV161 )
                    | ( SY507
                      = ( k1_filter_0 @ SV161 ) )
                    | ~ ( v2_filter_0 @ SY507 @ SV161 )
                    | ( v1_filter_0 @ SY507 @ SV161 ) )
              | ~ ~ ( ~ ! [SY508: $i] :
                          ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                          | ~ ( v1_filter_0 @ SY508 @ SV161 )
                          | ( SY508
                           != ( k1_filter_0 @ SV161 ) ) )
                    | ~ ! [SY509: $i] :
                          ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                          | ~ ( v1_filter_0 @ SY509 @ SV161 )
                          | ( v2_filter_0 @ SY509 @ SV161 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9032]) ).

thf(9228,plain,
    ( ( v3_struct_0 @ sK60_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9036]) ).

thf(9229,plain,
    ! [SV254: $i] :
      ( ( ( ( v3_struct_0 @ SV254 )
          | ~ ( v13_lattices @ SV254 )
          | ~ ( v14_lattices @ SV254 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV254 ) )
        = $true )
      | ( ( l3_lattices @ SV254 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9039]) ).

thf(9230,plain,
    ! [SV255: $i] :
      ( ( ( ( v3_struct_0 @ SV255 )
          | ~ ( v13_lattices @ SV255 )
          | ~ ( v14_lattices @ SV255 ) )
        = $true )
      | ( ( v15_lattices @ SV255 )
        = $true )
      | ( ( l3_lattices @ SV255 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9040]) ).

thf(9231,plain,
    ! [SV256: $i] :
      ( ( ( v3_struct_0 @ SV256 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV256 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV256 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k1_lattice2 @ SV256 ) )
          | ( v14_lattices @ SV256 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9041]) ).

thf(9232,plain,
    ! [SV257: $i] :
      ( ( ( v3_struct_0 @ SV257 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV257 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV257 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV257 )
          | ( v13_lattices @ ( k1_lattice2 @ SV257 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9042]) ).

thf(9233,plain,
    ! [SV258: $i] :
      ( ( ( l3_lattices @ SV258 )
        = $false )
      | ( ( v3_struct_0 @ SV258 )
        = $true )
      | ( ( ~ ( v13_lattices @ SV258 )
          | ~ ( v14_lattices @ SV258 )
          | ( v15_lattices @ SV258 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9043]) ).

thf(9234,plain,
    ! [SV329: $i] :
      ( ( ( v3_struct_0 @ SV329 )
        | ~ ( l3_lattices @ SV329 )
        | ~ ( v15_lattices @ SV329 )
        | ( v13_lattices @ SV329 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9044]) ).

thf(9235,plain,
    ! [SV330: $i] :
      ( ( ( v3_struct_0 @ SV330 )
        | ~ ( l3_lattices @ SV330 )
        | ~ ( v15_lattices @ SV330 )
        | ( v14_lattices @ SV330 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9045]) ).

thf(9236,plain,
    ! [SV259: $i] :
      ( ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV259 ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV259 )
        = $true )
      | ( ( l1_struct_0 @ SV259 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9046]) ).

thf(9237,plain,
    ! [SV260: $i] :
      ( ( ( ~ ( v3_struct_0 @ SV260 ) )
        = $true )
      | ( ( v1_xboole_0 @ ( u1_struct_0 @ SV260 ) )
        = $true )
      | ( ( l1_struct_0 @ SV260 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9047]) ).

thf(9238,plain,
    ! [SV162: $i] :
      ( ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV162 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY510: $i] :
                                ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                          | ~ ! [SY511: $i] :
                                ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                                | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
                    | ~ ! [SY512: $i] :
                          ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                          | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
              | ~ ! [SY513: $i] :
                    ( ~ ( m1_filter_0 @ SY513 @ SV162 )
                    | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9048]) ).

thf(9239,plain,
    ! [SV163: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                            | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                      | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
                | ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) )
          | ~ ( v1_borsuk_1 @ ( sK7_B @ SV163 ) @ SV163 ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9049]) ).

thf(9240,plain,
    ! [SV261: $i] :
      ( ( ( ( v3_struct_0 @ SV261 )
          | ~ ( v10_lattices @ SV261 )
          | ~ ( v17_lattices @ SV261 ) )
        = $true )
      | ( ( v3_realset2 @ SV261 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV261 ) )
        = $true )
      | ( ( v1_funct_1 @ ( k8_lopclset @ SV261 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9050]) ).

thf(9241,plain,
    ! [SV262: $i] :
      ( ( ( ( v3_struct_0 @ SV262 )
          | ~ ( v10_lattices @ SV262 )
          | ~ ( v17_lattices @ SV262 ) )
        = $true )
      | ( ( v3_realset2 @ SV262 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV262 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k8_lopclset @ SV262 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9051]) ).

thf(9242,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                                  ( ( v3_struct_0 @ SY514 )
                                  | ~ ( v10_lattices @ SY514 )
                                  | ~ ( l3_lattices @ SY514 )
                                  | ( v3_struct_0 @ SV164 )
                                  | ~ ( v10_lattices @ SV164 )
                                  | ~ ( v11_lattices @ SV164 )
                                  | ~ ( l3_lattices @ SV164 )
                                  | ( v3_struct_0 @ SY514 )
                                  | ~ ( v10_lattices @ SY514 )
                                  | ~ ( v11_lattices @ SY514 )
                                  | ~ ( l3_lattices @ SY514 )
                                  | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                            | ~ ! [SY515: $i] :
                                  ( ( v3_struct_0 @ SY515 )
                                  | ~ ( v10_lattices @ SY515 )
                                  | ~ ( l3_lattices @ SY515 )
                                  | ( v3_struct_0 @ SV164 )
                                  | ~ ( v10_lattices @ SV164 )
                                  | ~ ( v11_lattices @ SV164 )
                                  | ~ ( l3_lattices @ SV164 )
                                  | ( v3_struct_0 @ SY515 )
                                  | ~ ( v10_lattices @ SY515 )
                                  | ~ ( v11_lattices @ SY515 )
                                  | ~ ( l3_lattices @ SY515 )
                                  | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                      | ~ ! [SY516: $i] :
                            ( ( v3_struct_0 @ SY516 )
                            | ~ ( v10_lattices @ SY516 )
                            | ~ ( l3_lattices @ SY516 )
                            | ( v3_struct_0 @ SV164 )
                            | ~ ( v10_lattices @ SV164 )
                            | ~ ( v11_lattices @ SV164 )
                            | ~ ( l3_lattices @ SV164 )
                            | ( v3_struct_0 @ SY516 )
                            | ~ ( v10_lattices @ SY516 )
                            | ~ ( v11_lattices @ SY516 )
                            | ~ ( l3_lattices @ SY516 )
                            | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
                | ~ ! [SY517: $i] :
                      ( ( v3_struct_0 @ SY517 )
                      | ~ ( v10_lattices @ SY517 )
                      | ~ ( l3_lattices @ SY517 )
                      | ( v3_struct_0 @ SV164 )
                      | ~ ( v10_lattices @ SV164 )
                      | ~ ( v11_lattices @ SV164 )
                      | ~ ( l3_lattices @ SV164 )
                      | ( v3_struct_0 @ SY517 )
                      | ~ ( v10_lattices @ SY517 )
                      | ~ ( v11_lattices @ SY517 )
                      | ~ ( l3_lattices @ SY517 )
                      | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                          ( ( v3_struct_0 @ SY518 )
                                                          | ~ ( v10_lattices @ SY518 )
                                                          | ~ ( l3_lattices @ SY518 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                          | ~ ( v3_struct_0 @ SV164 ) )
                                                    | ~ ! [SY519: $i] :
                                                          ( ( v3_struct_0 @ SY519 )
                                                          | ~ ( v10_lattices @ SY519 )
                                                          | ~ ( l3_lattices @ SY519 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                          | ( v10_lattices @ SV164 ) ) )
                                              | ~ ! [SY520: $i] :
                                                    ( ( v3_struct_0 @ SY520 )
                                                    | ~ ( v10_lattices @ SY520 )
                                                    | ~ ( l3_lattices @ SY520 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                    | ( v11_lattices @ SV164 ) ) )
                                        | ~ ! [SY521: $i] :
                                              ( ( v3_struct_0 @ SY521 )
                                              | ~ ( v10_lattices @ SY521 )
                                              | ~ ( l3_lattices @ SY521 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                              | ( l3_lattices @ SV164 ) ) )
                                  | ~ ! [SY522: $i] :
                                        ( ( v3_struct_0 @ SY522 )
                                        | ~ ( v10_lattices @ SY522 )
                                        | ~ ( l3_lattices @ SY522 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                        | ~ ( v3_struct_0 @ SY522 ) ) )
                            | ~ ! [SY523: $i] :
                                  ( ( v3_struct_0 @ SY523 )
                                  | ~ ( v10_lattices @ SY523 )
                                  | ~ ( l3_lattices @ SY523 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                  | ( v10_lattices @ SY523 ) ) )
                      | ~ ! [SY524: $i] :
                            ( ( v3_struct_0 @ SY524 )
                            | ~ ( v10_lattices @ SY524 )
                            | ~ ( l3_lattices @ SY524 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                            | ( v11_lattices @ SY524 ) ) )
                | ~ ! [SY525: $i] :
                      ( ( v3_struct_0 @ SY525 )
                      | ~ ( v10_lattices @ SY525 )
                      | ~ ( l3_lattices @ SY525 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                      | ( l3_lattices @ SY525 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9058]) ).

thf(9243,plain,
    ! [SV165: $i] :
      ( ( ( ~ ! [SY526: $i] :
                ( ( v3_struct_0 @ SY526 )
                | ~ ( v10_lattices @ SY526 )
                | ~ ( l3_lattices @ SY526 )
                | ~ ( v15_lattices @ SV165 )
                | ~ ( v15_lattices @ SY526 )
                | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY526 ) ) )
          | ~ ~ ( ~ ! [SY527: $i] :
                      ( ( v3_struct_0 @ SY527 )
                      | ~ ( v10_lattices @ SY527 )
                      | ~ ( l3_lattices @ SY527 )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                      | ( v15_lattices @ SV165 ) )
                | ~ ! [SY528: $i] :
                      ( ( v3_struct_0 @ SY528 )
                      | ~ ( v10_lattices @ SY528 )
                      | ~ ( l3_lattices @ SY528 )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                      | ( v15_lattices @ SY528 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9059]) ).

thf(9244,plain,
    ! [SV166: $i] :
      ( ( ( ~ ( ~ ( m1_pre_topc @ ( sK68_B @ SV166 ) @ SV166 )
              | ~ ~ ( v3_struct_0 @ ( sK68_B @ SV166 ) ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9062]) ).

thf(9245,plain,
    ! [SV166: $i] :
      ( ( ( v1_pre_topc @ ( sK68_B @ SV166 ) )
        = $true )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9063]) ).

thf(9246,plain,
    ! [SV167: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
                      | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
                | ~ ( v2_pre_topc @ ( sK8_B @ SV167 ) ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9064]) ).

thf(9247,plain,
    ! [SV167: $i] :
      ( ( ( ~ ( v1_borsuk_1 @ ( sK8_B @ SV167 ) @ SV167 ) )
        = $false )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9064]) ).

thf(9248,plain,
    ( ( v3_struct_0 @ sK59_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9066]) ).

thf(9249,plain,
    ! [SV269: $i] :
      ( ( ( v3_struct_0 @ SV269 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV269 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV269 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV269 )
          | ~ ( v3_filter_0 @ SV269 )
          | ( v1_lattice2 @ SV269 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9067]) ).

thf(9250,plain,
    ! [SV331: $i] :
      ( ( ( v3_struct_0 @ SV331 )
        | ~ ( v10_lattices @ SV331 )
        | ~ ( l3_lattices @ SV331 )
        | ~ ( v1_lattice2 @ SV331 )
        | ( v13_lattices @ SV331 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9068]) ).

thf(9251,plain,
    ! [SV332: $i] :
      ( ( ( v3_struct_0 @ SV332 )
        | ~ ( v10_lattices @ SV332 )
        | ~ ( l3_lattices @ SV332 )
        | ~ ( v1_lattice2 @ SV332 )
        | ( v3_filter_0 @ SV332 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9069]) ).

thf(9252,plain,
    ! [SV270: $i] :
      ( ( ( l3_lattices @ SV270 )
        = $false )
      | ( ( v3_struct_0 @ SV270 )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV270 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9070]) ).

thf(9253,plain,
    ! [SV271: $i] :
      ( ( ( l3_lattices @ SV271 )
        = $false )
      | ( ( v3_struct_0 @ SV271 )
        = $true )
      | ( ( v3_lattices @ ( k1_lattice2 @ SV271 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9071]) ).

thf(9254,plain,
    ! [SV272: $i] :
      ( ( ( v3_struct_0 @ SV272 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV272 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV272 ) )
        = $true )
      | ( ( ~ ( v6_group_1 @ SV272 )
          | ( v6_group_1 @ ( k1_lattice2 @ SV272 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9072]) ).

thf(9255,plain,
    ! [SV273: $i] :
      ( ( ( v3_struct_0 @ SV273 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV273 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV273 ) )
        = $true )
      | ( ( ~ ( v6_group_1 @ ( k1_lattice2 @ SV273 ) )
          | ( v6_group_1 @ SV273 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9073]) ).

thf(9256,plain,
    ! [SV168: $i] :
      ( ( ( ~ ! [SY529: $i] :
                ( ( v3_struct_0 @ SY529 )
                | ~ ( v10_lattices @ SY529 )
                | ~ ( l3_lattices @ SY529 )
                | ~ ( v14_lattices @ SV168 )
                | ~ ( v14_lattices @ SY529 )
                | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY529 ) ) )
          | ~ ~ ( ~ ! [SY530: $i] :
                      ( ( v3_struct_0 @ SY530 )
                      | ~ ( v10_lattices @ SY530 )
                      | ~ ( l3_lattices @ SY530 )
                      | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                      | ( v14_lattices @ SV168 ) )
                | ~ ! [SY531: $i] :
                      ( ( v3_struct_0 @ SY531 )
                      | ~ ( v10_lattices @ SY531 )
                      | ~ ( l3_lattices @ SY531 )
                      | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                      | ( v14_lattices @ SY531 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9074]) ).

thf(9257,plain,
    ( ( v3_struct_0 @ k22_borsuk_1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9075]) ).

thf(9258,plain,
    ( ( v3_struct_0 @ sK74_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9080]) ).

thf(9259,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ( v3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9081]) ).

thf(9260,plain,
    ! [SV333: $i] :
      ( ( ! [SY582: $i] :
            ( ( v3_struct_0 @ SV333 )
            | ~ ( v10_lattices @ SV333 )
            | ~ ( l3_lattices @ SV333 )
            | ~ ( m1_filter_0 @ SY582 @ SV333 )
            | ( v10_lattices @ ( k5_filter_1 @ SV333 @ SY582 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9082]) ).

thf(9261,plain,
    ! [SV305: $i,SV276: $i] :
      ( ( ( ( v3_struct_0 @ SV276 )
          | ~ ( v10_lattices @ SV276 )
          | ~ ( l3_lattices @ SV276 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV305 @ SV276 ) )
        = $true )
      | ( ( l3_lattices @ ( k5_filter_1 @ SV276 @ SV305 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9083]) ).

thf(9262,plain,
    ! [SV277: $i] :
      ( ( ( l1_pre_topc @ SV277 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV277 ) )
        = $true )
      | ( ( v3_pre_topc @ ( k2_pre_topc @ SV277 ) @ SV277 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9084]) ).

thf(9263,plain,
    ! [SV278: $i] :
      ( ( ( l1_pre_topc @ SV278 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV278 ) )
        = $true )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV278 ) @ SV278 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9085]) ).

thf(9264,plain,
    ( ( v3_struct_0 @ sK75_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9087]) ).

thf(9265,plain,
    ! [SV334: $i] :
      ( ( ! [SY583: $i] :
            ( ~ ( l1_pre_topc @ SV334 )
            | ~ ( v2_pre_topc @ SV334 )
            | ~ ( v2_pre_topc @ SY583 )
            | ~ ( l1_pre_topc @ SY583 )
            | ( v1_pre_topc @ ( k6_borsuk_1 @ SV334 @ SY583 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9088]) ).

thf(9266,plain,
    ! [SV335: $i] :
      ( ( ! [SY584: $i] :
            ( ~ ( l1_pre_topc @ SV335 )
            | ~ ( v2_pre_topc @ SV335 )
            | ~ ( v2_pre_topc @ SY584 )
            | ~ ( l1_pre_topc @ SY584 )
            | ( v2_pre_topc @ ( k6_borsuk_1 @ SV335 @ SY584 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9089]) ).

thf(9267,plain,
    ! [SV306: $i,SV279: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV279 )
          | ~ ( v2_pre_topc @ SV279 )
          | ~ ( v2_pre_topc @ SV306 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV306 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k6_borsuk_1 @ SV279 @ SV306 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9090]) ).

thf(9268,plain,
    ( ( v3_struct_0 @ sK62_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9092]) ).

thf(9269,plain,
    ! [SV280: $i] :
      ( ( ( ( v3_struct_0 @ SV280 )
          | ~ ( v11_lattices @ SV280 )
          | ~ ( v15_lattices @ SV280 )
          | ~ ( v16_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV280 ) )
        = $true )
      | ( ( l3_lattices @ SV280 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9093]) ).

thf(9270,plain,
    ! [SV281: $i] :
      ( ( ( ( v3_struct_0 @ SV281 )
          | ~ ( v11_lattices @ SV281 )
          | ~ ( v15_lattices @ SV281 )
          | ~ ( v16_lattices @ SV281 ) )
        = $true )
      | ( ( v17_lattices @ SV281 )
        = $true )
      | ( ( l3_lattices @ SV281 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9094]) ).

thf(9271,plain,
    ! [SV336: $i] :
      ( ( ( v3_struct_0 @ SV336 )
        | ~ ( v2_pre_topc @ SV336 )
        | ~ ( l1_pre_topc @ SV336 )
        | ~ ( v3_struct_0 @ ( k6_lopclset @ SV336 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9095]) ).

thf(9272,plain,
    ! [SV337: $i] :
      ( ( ( v3_struct_0 @ SV337 )
        | ~ ( v2_pre_topc @ SV337 )
        | ~ ( l1_pre_topc @ SV337 )
        | ( v10_lattices @ ( k6_lopclset @ SV337 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9096]) ).

thf(9273,plain,
    ! [SV282: $i] :
      ( ( ( v3_struct_0 @ SV282 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV282 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV282 ) )
        = $true )
      | ( ( l3_lattices @ ( k6_lopclset @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9097]) ).

thf(9274,plain,
    ! [SV338: $i] :
      ( ( ~ ( v1_relat_1 @ SV338 )
        | ~ ( v1_xboole_0 @ SV338 )
        | ~ ( v1_funct_1 @ SV338 )
        | ( v1_funct_1 @ SV338 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9098]) ).

thf(9275,plain,
    ! [SV339: $i] :
      ( ( ~ ( v1_relat_1 @ SV339 )
        | ~ ( v1_xboole_0 @ SV339 )
        | ~ ( v1_funct_1 @ SV339 )
        | ( v1_relat_1 @ SV339 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9099]) ).

thf(9276,plain,
    ! [SV283: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV283 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV283 ) )
        = $true )
      | ( ( ~ ( v1_funct_1 @ SV283 ) )
        = $true )
      | ( ( v2_funct_1 @ SV283 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9100]) ).

thf(9277,plain,
    ! [SV340: $i] :
      ( ( ( v3_struct_0 @ SV340 )
        | ~ ( v10_lattices @ SV340 )
        | ~ ( v17_lattices @ SV340 )
        | ( v3_realset2 @ SV340 )
        | ~ ( l3_lattices @ SV340 )
        | ~ ( v3_struct_0 @ ( k11_lopclset @ SV340 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9101]) ).

thf(9278,plain,
    ! [SV341: $i] :
      ( ( ( v3_struct_0 @ SV341 )
        | ~ ( v10_lattices @ SV341 )
        | ~ ( v17_lattices @ SV341 )
        | ( v3_realset2 @ SV341 )
        | ~ ( l3_lattices @ SV341 )
        | ( v1_pre_topc @ ( k11_lopclset @ SV341 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9102]) ).

thf(9279,plain,
    ! [SV284: $i] :
      ( ( ( ( v3_struct_0 @ SV284 )
          | ~ ( v10_lattices @ SV284 )
          | ~ ( v17_lattices @ SV284 ) )
        = $true )
      | ( ( v3_realset2 @ SV284 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV284 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV284 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9103]) ).

thf(9280,plain,
    ! [SV285: $i,SV307: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV307 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV285 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV285 @ SV307 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9104]) ).

thf(9281,plain,
    ! [SV286: $i,SV308: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV308 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV286 ) )
        = $true )
      | ( ( v1_xboole_0 @ ( k5_relat_1 @ SV286 @ SV308 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9105]) ).

thf(9282,plain,
    ! [SV169: $i] :
      ( ( ( ~ ! [SY532: $i] :
                ( ( v3_struct_0 @ SY532 )
                | ~ ( v10_lattices @ SY532 )
                | ~ ( l3_lattices @ SY532 )
                | ~ ( v13_lattices @ SV169 )
                | ~ ( v13_lattices @ SY532 )
                | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY532 ) ) )
          | ~ ~ ( ~ ! [SY533: $i] :
                      ( ( v3_struct_0 @ SY533 )
                      | ~ ( v10_lattices @ SY533 )
                      | ~ ( l3_lattices @ SY533 )
                      | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                      | ( v13_lattices @ SV169 ) )
                | ~ ! [SY534: $i] :
                      ( ( v3_struct_0 @ SY534 )
                      | ~ ( v10_lattices @ SY534 )
                      | ~ ( l3_lattices @ SY534 )
                      | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                      | ( v13_lattices @ SY534 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9106]) ).

thf(9283,plain,
    ! [SV342: $i] :
      ( ( ( v3_struct_0 @ SV342 )
        | ~ ( v10_lattices @ SV342 )
        | ~ ( v17_lattices @ SV342 )
        | ( v3_realset2 @ SV342 )
        | ~ ( l3_lattices @ SV342 )
        | ( v1_pre_topc @ ( k11_lopclset @ SV342 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9107]) ).

thf(9284,plain,
    ! [SV343: $i] :
      ( ( ( v3_struct_0 @ SV343 )
        | ~ ( v10_lattices @ SV343 )
        | ~ ( v17_lattices @ SV343 )
        | ( v3_realset2 @ SV343 )
        | ~ ( l3_lattices @ SV343 )
        | ( v2_pre_topc @ ( k11_lopclset @ SV343 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9108]) ).

thf(9285,plain,
    ! [SV287: $i] :
      ( ( ( ( v3_struct_0 @ SV287 )
          | ~ ( v10_lattices @ SV287 )
          | ~ ( v17_lattices @ SV287 ) )
        = $true )
      | ( ( v3_realset2 @ SV287 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV287 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k11_lopclset @ SV287 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9109]) ).

thf(9286,plain,
    ( ( ~ ( v1_funct_1 @ sK39_A )
      | ~ ( v1_relat_1 @ sK39_A ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9110]) ).

thf(9287,plain,
    ( ( v3_struct_0 @ k3_vectsp_1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9112]) ).

thf(9288,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ~ ( v3_struct_0 @ SX0 ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ( v11_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v13_lattices @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v14_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9114]) ).

thf(9289,plain,
    ! [SV344: $i] :
      ( ( ~ ( l3_lattices @ SV344 )
        | ( v3_struct_0 @ SV344 )
        | ~ ( v17_lattices @ SV344 )
        | ( v15_lattices @ SV344 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9115]) ).

thf(9290,plain,
    ! [SV288: $i] :
      ( ( ( ( v3_struct_0 @ SV288 )
          | ~ ( v17_lattices @ SV288 ) )
        = $true )
      | ( ( v16_lattices @ SV288 )
        = $true )
      | ( ( l3_lattices @ SV288 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9116]) ).

thf(9291,plain,
    ! [SV289: $i] :
      ( ( ( v3_struct_0 @ SV289 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV289 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV289 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV289 )
          | ( v14_lattices @ ( k1_lattice2 @ SV289 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9117]) ).

thf(9292,plain,
    ! [SV290: $i] :
      ( ( ( v3_struct_0 @ SV290 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV290 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV290 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k1_lattice2 @ SV290 ) )
          | ( v13_lattices @ SV290 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9118]) ).

thf(9293,plain,
    ! [SV291: $i] :
      ( ( ( ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
              | ~ ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
                    | ~ ( ( ( sK11_B @ SV291 )
                         != ( sK12_SY394 @ SV291 ) ) ) ) ) )
        = $true )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9119]) ).

thf(9294,plain,
    ! [SV292: $i] :
      ( ( ( ~ ( v3_realset2 @ SV292 ) )
        = $true )
      | ( ( ! [SY573: $i] :
              ( ~ ( m1_subset_1 @ SY573 @ ( u1_struct_0 @ SV292 ) )
              | ! [SY574: $i] :
                  ( ~ ( m1_subset_1 @ SY574 @ ( u1_struct_0 @ SV292 ) )
                  | ( SY573 = SY574 ) ) ) )
        = $true )
      | ( ( l1_struct_0 @ SV292 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9120]) ).

thf(9295,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                        ( ( v3_struct_0 @ SY535 )
                                        | ~ ( v10_lattices @ SY535 )
                                        | ~ ( l3_lattices @ SY535 )
                                        | ( v3_struct_0 @ SV170 )
                                        | ~ ( v10_lattices @ SV170 )
                                        | ~ ( v15_lattices @ SV170 )
                                        | ~ ( v16_lattices @ SV170 )
                                        | ~ ( l3_lattices @ SV170 )
                                        | ( v3_struct_0 @ SY535 )
                                        | ~ ( v10_lattices @ SY535 )
                                        | ~ ( v15_lattices @ SY535 )
                                        | ~ ( v16_lattices @ SY535 )
                                        | ~ ( l3_lattices @ SY535 )
                                        | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                                  | ~ ! [SY536: $i] :
                                        ( ( v3_struct_0 @ SY536 )
                                        | ~ ( v10_lattices @ SY536 )
                                        | ~ ( l3_lattices @ SY536 )
                                        | ( v3_struct_0 @ SV170 )
                                        | ~ ( v10_lattices @ SV170 )
                                        | ~ ( v15_lattices @ SV170 )
                                        | ~ ( v16_lattices @ SV170 )
                                        | ~ ( l3_lattices @ SV170 )
                                        | ( v3_struct_0 @ SY536 )
                                        | ~ ( v10_lattices @ SY536 )
                                        | ~ ( v15_lattices @ SY536 )
                                        | ~ ( v16_lattices @ SY536 )
                                        | ~ ( l3_lattices @ SY536 )
                                        | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                            | ~ ! [SY537: $i] :
                                  ( ( v3_struct_0 @ SY537 )
                                  | ~ ( v10_lattices @ SY537 )
                                  | ~ ( l3_lattices @ SY537 )
                                  | ( v3_struct_0 @ SV170 )
                                  | ~ ( v10_lattices @ SV170 )
                                  | ~ ( v15_lattices @ SV170 )
                                  | ~ ( v16_lattices @ SV170 )
                                  | ~ ( l3_lattices @ SV170 )
                                  | ( v3_struct_0 @ SY537 )
                                  | ~ ( v10_lattices @ SY537 )
                                  | ~ ( v15_lattices @ SY537 )
                                  | ~ ( v16_lattices @ SY537 )
                                  | ~ ( l3_lattices @ SY537 )
                                  | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                      | ~ ! [SY538: $i] :
                            ( ( v3_struct_0 @ SY538 )
                            | ~ ( v10_lattices @ SY538 )
                            | ~ ( l3_lattices @ SY538 )
                            | ( v3_struct_0 @ SV170 )
                            | ~ ( v10_lattices @ SV170 )
                            | ~ ( v15_lattices @ SV170 )
                            | ~ ( v16_lattices @ SV170 )
                            | ~ ( l3_lattices @ SV170 )
                            | ( v3_struct_0 @ SY538 )
                            | ~ ( v10_lattices @ SY538 )
                            | ~ ( v15_lattices @ SY538 )
                            | ~ ( v16_lattices @ SY538 )
                            | ~ ( l3_lattices @ SY538 )
                            | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
                | ~ ! [SY539: $i] :
                      ( ( v3_struct_0 @ SY539 )
                      | ~ ( v10_lattices @ SY539 )
                      | ~ ( l3_lattices @ SY539 )
                      | ( v3_struct_0 @ SV170 )
                      | ~ ( v10_lattices @ SV170 )
                      | ~ ( v15_lattices @ SV170 )
                      | ~ ( v16_lattices @ SV170 )
                      | ~ ( l3_lattices @ SV170 )
                      | ( v3_struct_0 @ SY539 )
                      | ~ ( v10_lattices @ SY539 )
                      | ~ ( v15_lattices @ SY539 )
                      | ~ ( v16_lattices @ SY539 )
                      | ~ ( l3_lattices @ SY539 )
                      | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                      ( ( v3_struct_0 @ SY540 )
                                                                      | ~ ( v10_lattices @ SY540 )
                                                                      | ~ ( l3_lattices @ SY540 )
                                                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                      | ~ ( v3_struct_0 @ SV170 ) )
                                                                | ~ ! [SY541: $i] :
                                                                      ( ( v3_struct_0 @ SY541 )
                                                                      | ~ ( v10_lattices @ SY541 )
                                                                      | ~ ( l3_lattices @ SY541 )
                                                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                      | ( v10_lattices @ SV170 ) ) )
                                                          | ~ ! [SY542: $i] :
                                                                ( ( v3_struct_0 @ SY542 )
                                                                | ~ ( v10_lattices @ SY542 )
                                                                | ~ ( l3_lattices @ SY542 )
                                                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                | ( v15_lattices @ SV170 ) ) )
                                                    | ~ ! [SY543: $i] :
                                                          ( ( v3_struct_0 @ SY543 )
                                                          | ~ ( v10_lattices @ SY543 )
                                                          | ~ ( l3_lattices @ SY543 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                          | ( v16_lattices @ SV170 ) ) )
                                              | ~ ! [SY544: $i] :
                                                    ( ( v3_struct_0 @ SY544 )
                                                    | ~ ( v10_lattices @ SY544 )
                                                    | ~ ( l3_lattices @ SY544 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                    | ( l3_lattices @ SV170 ) ) )
                                        | ~ ! [SY545: $i] :
                                              ( ( v3_struct_0 @ SY545 )
                                              | ~ ( v10_lattices @ SY545 )
                                              | ~ ( l3_lattices @ SY545 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                              | ~ ( v3_struct_0 @ SY545 ) ) )
                                  | ~ ! [SY546: $i] :
                                        ( ( v3_struct_0 @ SY546 )
                                        | ~ ( v10_lattices @ SY546 )
                                        | ~ ( l3_lattices @ SY546 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                        | ( v10_lattices @ SY546 ) ) )
                            | ~ ! [SY547: $i] :
                                  ( ( v3_struct_0 @ SY547 )
                                  | ~ ( v10_lattices @ SY547 )
                                  | ~ ( l3_lattices @ SY547 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                  | ( v15_lattices @ SY547 ) ) )
                      | ~ ! [SY548: $i] :
                            ( ( v3_struct_0 @ SY548 )
                            | ~ ( v10_lattices @ SY548 )
                            | ~ ( l3_lattices @ SY548 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                            | ( v16_lattices @ SY548 ) ) )
                | ~ ! [SY549: $i] :
                      ( ( v3_struct_0 @ SY549 )
                      | ~ ( v10_lattices @ SY549 )
                      | ~ ( l3_lattices @ SY549 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                      | ( l3_lattices @ SY549 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9121]) ).

thf(9296,plain,
    ! [SV293: $i] :
      ( ( ( l3_lattices @ SV293 )
        = $false )
      | ( ( v3_struct_0 @ SV293 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV293 )
          | ~ ( v16_lattices @ SV293 )
          | ~ ( v11_lattices @ SV293 )
          | ( v17_lattices @ SV293 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9122]) ).

thf(9297,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v15_lattices @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v16_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9123]) ).

thf(9298,plain,
    ! [SV345: $i] :
      ( ( ( v3_struct_0 @ SV345 )
        | ~ ( l3_lattices @ SV345 )
        | ~ ( v17_lattices @ SV345 )
        | ( v11_lattices @ SV345 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9124]) ).

thf(9299,plain,
    ! [SV294: $i] :
      ( ( ( l1_struct_0 @ SV294 )
        = $false )
      | ( ( v3_struct_0 @ SV294 )
        = $true )
      | ( ( ! [SY575: $i] :
              ( ( u1_struct_0 @ SV294 )
             != ( k1_tarski @ SY575 ) )
          | ( v3_realset2 @ SV294 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9125]) ).

thf(9300,plain,
    ! [SV295: $i] :
      ( ( ( l1_struct_0 @ SV295 )
        = $false )
      | ( ( v3_struct_0 @ SV295 )
        = $true )
      | ( ( ~ ( v3_realset2 @ SV295 )
          | ( ( u1_struct_0 @ SV295 )
            = ( k1_tarski @ ( sK2_B @ SV295 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9126]) ).

thf(9301,plain,
    ! [SV346: $i] :
      ( ( ! [SY585: $i] :
            ( ( v3_struct_0 @ SV346 )
            | ~ ( v10_lattices @ SV346 )
            | ~ ( l3_lattices @ SV346 )
            | ~ ( m1_filter_0 @ SY585 @ SV346 )
            | ~ ( v3_struct_0 @ ( k8_filter_0 @ SV346 @ SY585 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9127]) ).

thf(9302,plain,
    ! [SV347: $i] :
      ( ( ! [SY586: $i] :
            ( ( v3_struct_0 @ SV347 )
            | ~ ( v10_lattices @ SV347 )
            | ~ ( l3_lattices @ SV347 )
            | ~ ( m1_filter_0 @ SY586 @ SV347 )
            | ( v10_lattices @ ( k8_filter_0 @ SV347 @ SY586 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9128]) ).

thf(9303,plain,
    ! [SV309: $i,SV296: $i] :
      ( ( ( ( v3_struct_0 @ SV296 )
          | ~ ( v10_lattices @ SV296 )
          | ~ ( l3_lattices @ SV296 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV309 @ SV296 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_0 @ SV296 @ SV309 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9129]) ).

thf(9304,plain,
    ( ( v3_struct_0 @ sK63_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9131]) ).

thf(9305,plain,
    ! [SV171: $i] :
      ( ( ( ~ ( m2_lattice4 @ ( sK53_B @ SV171 ) @ SV171 )
          | ~ ~ ( v1_xboole_0 @ ( sK53_B @ SV171 ) ) )
        = $false )
      | ( ( v10_lattices @ SV171 )
        = $false )
      | ( ( v3_struct_0 @ SV171 )
        = $true )
      | ( ( l3_lattices @ SV171 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9132]) ).

thf(9306,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v11_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v11_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v11_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9133]) ).

thf(9307,plain,
    ! [SV348: $i] :
      ( ( ( v3_struct_0 @ SV348 )
        | ~ ( v10_lattices @ SV348 )
        | ~ ( l3_lattices @ SV348 )
        | ( v3_struct_0 @ SV348 )
        | ~ ( v10_lattices @ SV348 )
        | ~ ( v11_lattices @ SV348 )
        | ~ ( l3_lattices @ SV348 )
        | ( l3_lattices @ ( k1_lattice2 @ SV348 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9134]) ).

thf(9308,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v3_struct_0 @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ( v10_lattices @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
            | ( v11_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9135]) ).

thf(9309,plain,
    ! [SV349: $i] :
      ( ( ( v3_struct_0 @ SV349 )
        | ~ ( v10_lattices @ SV349 )
        | ~ ( l3_lattices @ SV349 )
        | ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
        | ~ ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
        | ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) )
        | ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) )
        | ( l3_lattices @ SV349 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9136]) ).

thf(9310,plain,
    ! [SV1: $i,SV310: $i] :
      ( ( ( m1_pre_topc @ SV310 @ SV1 )
        = $false )
      | ( ( v2_pre_topc @ SV310 )
        = $true )
      | ( ( l1_pre_topc @ SV1 )
        = $false )
      | ( ( v2_pre_topc @ SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9137]) ).

thf(9311,plain,
    ! [SV16: $i,SV311: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV311 @ SV16 ) )
        = $true )
      | ( ( ( k3_filter_0 @ SV16 @ SV311 )
          = SV311 )
        = $true )
      | ( ( v10_lattices @ SV16 )
        = $false )
      | ( ( v3_struct_0 @ SV16 )
        = $true )
      | ( ( l3_lattices @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9138]) ).

thf(9312,plain,
    ! [SV17: $i] :
      ( ( ( l3_lattices @ SV17 )
        = $false )
      | ( ( v10_lattices @ SV17 )
        = $false )
      | ( ( v3_struct_0 @ SV17 )
        = $true )
      | ( ( v3_filter_0 @ SV17 )
        = $false )
      | ( ( v14_lattices @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9139]) ).

thf(9313,plain,
    ! [SV18: $i] :
      ( ( ( l3_lattices @ SV18 )
        = $false )
      | ( ( v10_lattices @ SV18 )
        = $false )
      | ( ( v3_struct_0 @ SV18 )
        = $true )
      | ( ( v3_filter_0 @ SV18 )
        = $false )
      | ( ( v11_lattices @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9140]) ).

thf(9314,plain,
    ! [SV19: $i] :
      ( ( ( l3_lattices @ SV19 )
        = $false )
      | ( ( v10_lattices @ SV19 )
        = $false )
      | ( ( v3_struct_0 @ SV19 )
        = $true )
      | ( ( v17_lattices @ SV19 )
        = $false )
      | ( ( v3_filter_0 @ SV19 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9141]) ).

thf(9315,plain,
    ! [SV210: $i,SV172: $i,SV22: $i] :
      ( ( ( ( v3_struct_0 @ SV22 )
          | ~ ( v10_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV172 @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV210 @ SV22 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9142]) ).

thf(9316,plain,
    ! [SV24: $i,SV312: $i] :
      ( ( ( ( v3_struct_0 @ SV312 )
          | ~ ( v10_lattices @ SV312 )
          | ~ ( l3_lattices @ SV312 ) )
        = $true )
      | ( ( ! [SY577: $i] :
              ( ( v3_struct_0 @ SY577 )
              | ~ ( v10_lattices @ SY577 )
              | ~ ( l3_lattices @ SY577 )
              | ~ ( r1_filter_1 @ SV24 @ SV312 )
              | ~ ( r1_filter_1 @ SV312 @ SY577 )
              | ( r1_filter_1 @ SV24 @ SY577 ) ) )
        = $true )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9143]) ).

thf(9317,plain,
    ! [SV25: $i,SV313: $i] :
      ( ( ( ( v3_struct_0 @ SV313 )
          | ~ ( v10_lattices @ SV313 )
          | ~ ( l3_lattices @ SV313 ) )
        = $true )
      | ( ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SV313 ) )
          = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SV313 ) ) )
        = $true )
      | ( ( v10_lattices @ SV25 )
        = $false )
      | ( ( v3_struct_0 @ SV25 )
        = $true )
      | ( ( l3_lattices @ SV25 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9144]) ).

thf(9318,plain,
    ! [SV26: $i,SV314: $i] :
      ( ( ( ( v3_struct_0 @ SV314 )
          | ~ ( v10_lattices @ SV314 )
          | ~ ( l3_lattices @ SV314 ) )
        = $true )
      | ( ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SV314 ) @ ( k8_filter_1 @ SV314 @ SV26 ) )
        = $true )
      | ( ( v10_lattices @ SV26 )
        = $false )
      | ( ( v3_struct_0 @ SV26 )
        = $true )
      | ( ( l3_lattices @ SV26 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9145]) ).

thf(9319,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( v3_struct_0 @ SV27 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV27 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV27 ) )
        = $true )
      | ( ( v3_struct_0 @ SV173 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV27 @ SV173 )
          | ( r1_filter_1 @ SV173 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9146]) ).

thf(9320,plain,
    ! [SV211: $i,SV28: $i] :
      ( ( ( v3_struct_0 @ SV28 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV28 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV28 ) )
        = $true )
      | ( ( v3_struct_0 @ SV211 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV211 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV211 ) )
        = $true )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9147]) ).

thf(9321,plain,
    ! [SV212: $i,SV174: $i,SV29: $i] :
      ( ( ( v3_struct_0 @ SV29 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV29 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV29 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV174 @ SV29 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV212 @ SV29 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SV212 ) @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9148]) ).

thf(9322,plain,
    ! [SV213: $i,SV175: $i,SV30: $i] :
      ( ( ( v3_struct_0 @ SV30 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV30 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV30 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV175 @ SV30 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV213 @ SV30 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV30 @ SV175 @ SV213 )
          = ( k1_filter_1 @ SV30 @ SV213 @ SV175 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9149]) ).

thf(9323,plain,
    ! [SV176: $i,SV31: $i] :
      ( ( ( v10_lattices @ SV31 )
        = $false )
      | ( ( v3_struct_0 @ SV31 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV31 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV176 @ SV31 ) )
        = $true )
      | ( ( ! [SY411: $i] :
              ~ ( m1_filter_0 @ SY411 @ SV31 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9150]) ).

thf(9324,plain,
    ! [SV38: $i,SV315: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV315 @ SV38 ) )
        = $true )
      | ( ( m2_lattice4 @ SV315 @ SV38 )
        = $true )
      | ( ( v10_lattices @ SV38 )
        = $false )
      | ( ( v3_struct_0 @ SV38 )
        = $true )
      | ( ( l3_lattices @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9151]) ).

thf(9325,plain,
    ! [SV39: $i] :
      ( ( ( l3_lattices @ SV39 )
        = $false )
      | ( ( v10_lattices @ SV39 )
        = $false )
      | ( ( v3_struct_0 @ SV39 )
        = $true )
      | ( ( v17_lattices @ SV39 )
        = $false )
      | ( ( m3_lattice4 @ ( u1_struct_0 @ SV39 ) @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9152]) ).

thf(9326,plain,
    ! [SV40: $i] :
      ( ( ( l3_lattices @ SV40 )
        = $false )
      | ( ( v10_lattices @ SV40 )
        = $false )
      | ( ( v3_struct_0 @ SV40 )
        = $true )
      | ( ( v17_lattices @ SV40 )
        = $false )
      | ( ( ! [SY413: $i] :
              ( ~ ( m3_lattice4 @ SY413 @ SV40 )
              | ( m2_lattice4 @ SY413 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9153]) ).

thf(9327,plain,
    ! [SV177: $i,SV41: $i] :
      ( ( ( v3_struct_0 @ SV41 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV41 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV41 ) )
        = $true )
      | ( ( v3_struct_0 @ SV177 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV177 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV177 ) )
        = $true )
      | ( ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9154]) ).

thf(9328,plain,
    ! [SV43: $i] :
      ( ( ( l3_lattices @ SV43 )
        = $false )
      | ( ( v10_lattices @ SV43 )
        = $false )
      | ( ( v3_struct_0 @ SV43 )
        = $true )
      | ( ( v17_lattices @ SV43 )
        = $false )
      | ( ( m3_lattice4 @ ( sK49_B @ SV43 ) @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9155]) ).

thf(9329,plain,
    ! [SV44: $i] :
      ( ( ( v17_lattices @ SV44 )
        = $false )
      | ( ( v3_struct_0 @ SV44 )
        = $true )
      | ( ( v10_lattices @ SV44 )
        = $false )
      | ( ( v3_realset2 @ SV44 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV44 ) )
        = $true )
      | ( ( ( k9_lopclset @ SV44 )
          = ( k8_lopclset @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9156]) ).

thf(9330,plain,
    ! [SV45: $i] :
      ( ( ( v17_lattices @ SV45 )
        = $false )
      | ( ( v3_struct_0 @ SV45 )
        = $true )
      | ( ( v10_lattices @ SV45 )
        = $false )
      | ( ( v3_realset2 @ SV45 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV45 ) )
        = $true )
      | ( ( ( k13_lopclset @ SV45 )
          = ( k8_lopclset @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9157]) ).

thf(9331,plain,
    ! [SV50: $i] :
      ( ( ( v17_lattices @ SV50 )
        = $false )
      | ( ( v3_struct_0 @ SV50 )
        = $true )
      | ( ( v10_lattices @ SV50 )
        = $false )
      | ( ( v3_realset2 @ SV50 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV50 ) )
        = $true )
      | ( ( ( k7_lopclset @ SV50 )
          = ( a_1_1_lopclset @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9159]) ).

thf(9332,plain,
    ! [SV51: $i] :
      ( ( ( v17_lattices @ SV51 )
        = $false )
      | ( ( v3_struct_0 @ SV51 )
        = $true )
      | ( ( v10_lattices @ SV51 )
        = $false )
      | ( ( v3_realset2 @ SV51 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV51 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV51 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9160]) ).

thf(9333,plain,
    ! [SV52: $i] :
      ( ( ( v17_lattices @ SV52 )
        = $false )
      | ( ( v3_struct_0 @ SV52 )
        = $true )
      | ( ( v10_lattices @ SV52 )
        = $false )
      | ( ( v3_realset2 @ SV52 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV52 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k10_lopclset @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9161]) ).

thf(9334,plain,
    ! [SV53: $i] :
      ( ( ( v17_lattices @ SV53 )
        = $false )
      | ( ( v3_struct_0 @ SV53 )
        = $true )
      | ( ( v10_lattices @ SV53 )
        = $false )
      | ( ( v3_realset2 @ SV53 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV53 ) )
        = $true )
      | ( ( ( k12_lopclset @ SV53 )
          = ( k6_lopclset @ ( k11_lopclset @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9162]) ).

thf(9335,plain,
    ! [SV54: $i] :
      ( ( ( v17_lattices @ SV54 )
        = $false )
      | ( ( v3_struct_0 @ SV54 )
        = $true )
      | ( ( v10_lattices @ SV54 )
        = $false )
      | ( ( v3_realset2 @ SV54 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV54 ) )
        = $true )
      | ( ( v2_funct_1 @ ( k9_lopclset @ SV54 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9163]) ).

thf(9336,plain,
    ! [SV55: $i] :
      ( ( ( v17_lattices @ SV55 )
        = $false )
      | ( ( v3_struct_0 @ SV55 )
        = $true )
      | ( ( v10_lattices @ SV55 )
        = $false )
      | ( ( v3_realset2 @ SV55 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV55 ) )
        = $true )
      | ( ( r1_filter_1 @ SV55 @ ( k12_lopclset @ SV55 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9164]) ).

thf(9337,plain,
    ! [SV223: $i,SV217: $i,SV184: $i,SV67: $i] :
      ( ( ( v1_xboole_0 @ SV67 )
        = $true )
      | ( ( v1_xboole_0 @ SV184 )
        = $true )
      | ( ( v1_xboole_0 @ SV217 )
        = $true )
      | ( ( v1_xboole_0 @ SV223 )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV67 @ SV184 @ SV217 @ SV223 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9166]) ).

thf(9338,plain,
    ! [SV226: $i,SV83: $i,SV316: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV316 ) )
        = $true )
      | ( ( ( k5_relat_1 @ ( k5_relat_1 @ SV83 @ SV226 ) @ SV316 )
          = ( k5_relat_1 @ SV83 @ ( k5_relat_1 @ SV226 @ SV316 ) ) )
        = $true )
      | ( ( v1_relat_1 @ SV226 )
        = $false )
      | ( ( v1_relat_1 @ SV83 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9167]) ).

thf(9339,plain,
    ! [SV200: $i,SV104: $i] :
      ( ( ( r1_rfinseq @ SV104 @ SV200 )
        = $false )
      | ( ( r1_rfinseq @ SV200 @ SV104 )
        = $true )
      | ( ( v1_relat_1 @ SV104 )
        = $false )
      | ( ( v1_relat_1 @ SV200 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9168]) ).

thf(9340,plain,
    ! [SV122: $i] :
      ( ( ( l3_lattices @ SV122 )
        = $false )
      | ( ( v10_lattices @ SV122 )
        = $false )
      | ( ( v3_struct_0 @ SV122 )
        = $true )
      | ( ( v17_lattices @ SV122 )
        = $false )
      | ( ( ! [SY452: $i] :
              ( ~ ( m1_filter_0 @ SY452 @ SV122 )
              | ! [SY453: $i] :
                  ( ~ ( m1_filter_0 @ SY453 @ SV122 )
                  | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SY452 @ SY453 ) )
                    = ( k7_filter_0 @ SV122 @ SY452 @ SY453 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9169]) ).

thf(9341,plain,
    ! [SV123: $i] :
      ( ( ( l3_lattices @ SV123 )
        = $false )
      | ( ( v3_lattices @ SV123 )
        = $false )
      | ( ( v3_struct_0 @ SV123 )
        = $true )
      | ( ( v10_lattices @ SV123 )
        = $false )
      | ( ( ( k8_filter_0 @ SV123 @ ( k1_filter_0 @ SV123 ) )
          = SV123 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9170]) ).

thf(9342,plain,
    ! [SV124: $i,SV317: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV317 @ SV124 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV124 )
          | ( v14_lattices @ ( k8_filter_0 @ SV124 @ SV317 ) ) )
        = $true )
      | ( ( v10_lattices @ SV124 )
        = $false )
      | ( ( v3_struct_0 @ SV124 )
        = $true )
      | ( ( l3_lattices @ SV124 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9171]) ).

thf(9343,plain,
    ! [SV125: $i,SV318: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV318 @ SV125 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ SV125 )
          | ( v12_lattices @ ( k8_filter_0 @ SV125 @ SV318 ) ) )
        = $true )
      | ( ( v10_lattices @ SV125 )
        = $false )
      | ( ( v3_struct_0 @ SV125 )
        = $true )
      | ( ( l3_lattices @ SV125 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9172]) ).

thf(9344,plain,
    ! [SV126: $i,SV319: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV319 @ SV126 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV126 )
          | ( v11_lattices @ ( k8_filter_0 @ SV126 @ SV319 ) ) )
        = $true )
      | ( ( v10_lattices @ SV126 )
        = $false )
      | ( ( v3_struct_0 @ SV126 )
        = $true )
      | ( ( l3_lattices @ SV126 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9173]) ).

thf(9345,plain,
    ! [SV127: $i,SV320: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV320 @ SV127 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV127 )
          | ~ ( v10_lattices @ SV127 )
          | ~ ( v3_filter_0 @ SV127 )
          | ~ ( l3_lattices @ SV127 )
          | ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SV320 ) ) )
        = $true )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( l3_lattices @ SV127 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9174]) ).

thf(9346,plain,
    ! [SV219: $i,SV201: $i,SV128: $i] :
      ( ( ( ( v3_struct_0 @ SV128 )
          | ~ ( v10_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV201 @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV219 @ SV128 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9175]) ).

thf(9347,plain,
    ! [SV220: $i,SV202: $i,SV129: $i] :
      ( ( ( ( v3_struct_0 @ SV129 )
          | ~ ( v10_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV202 @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV220 @ SV129 ) )
        = $true )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9176]) ).

thf(9348,plain,
    ! [SV203: $i,SV130: $i] :
      ( ( ( l3_lattices @ SV130 )
        = $false )
      | ( ( v3_struct_0 @ SV130 )
        = $true )
      | ( ( v10_lattices @ SV130 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV203 @ SV130 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k10_filter_0 @ SV130 @ SV203 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9177]) ).

thf(9349,plain,
    ! [SV131: $i,SV321: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV321 @ SV131 ) )
        = $true )
      | ( ( ! [SY578: $i] :
              ( ~ ( m1_filter_0 @ SY578 @ SV131 )
              | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SV321 @ SY578 ) @ SV131 ) ) )
        = $true )
      | ( ( v10_lattices @ SV131 )
        = $false )
      | ( ( v3_struct_0 @ SV131 )
        = $true )
      | ( ( l3_lattices @ SV131 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9178]) ).

thf(9350,plain,
    ! [SV132: $i] :
      ( ( ( l3_lattices @ SV132 )
        = $false )
      | ( ( v10_lattices @ SV132 )
        = $false )
      | ( ( v3_struct_0 @ SV132 )
        = $true )
      | ( ( v3_filter_0 @ SV132 )
        = $false )
      | ( ( ! [SY465: $i] :
              ( ~ ( m1_filter_0 @ SY465 @ SV132 )
              | ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SY465 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9179]) ).

thf(9351,plain,
    ! [SV221: $i,SV206: $i,SV135: $i] :
      ( ( ( v3_struct_0 @ SV135 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV135 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV135 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV206 @ SV135 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV221 @ SV135 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV135 @ SV206 @ SV221 )
          = ( k3_xboole_0 @ SV206 @ SV221 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9180]) ).

thf(9352,plain,
    ! [SV207: $i,SV138: $i] :
      ( ( ( v1_xboole_0 @ ( k17_grcat_1 @ SV138 @ SV207 ) )
        = $false )
      | ( ( l1_struct_0 @ SV138 )
        = $false )
      | ( ( v3_struct_0 @ SV207 )
        = $true )
      | ( ( l1_struct_0 @ SV207 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9181]) ).

thf(9353,plain,
    ! [SV140: $i,SV322: $i] :
      ( ( ( ( v3_struct_0 @ SV322 )
          | ~ ( v10_lattices @ SV322 )
          | ~ ( v11_lattices @ SV322 )
          | ~ ( l3_lattices @ SV322 ) )
        = $true )
      | ( ( ! [SY579: $i] :
              ( ~ ( m1_lattice4 @ SY579 @ SV322 @ SV140 )
              | ~ ( v2_lattice4 @ SY579 @ SV322 @ SV140 )
              | ( v11_lattices @ SV140 ) ) )
        = $true )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9182]) ).

thf(9354,plain,
    ! [SV141: $i] :
      ( ( ( v17_lattices @ SV141 )
        = $false )
      | ( ( v3_struct_0 @ SV141 )
        = $true )
      | ( ( v10_lattices @ SV141 )
        = $false )
      | ( ( v3_realset2 @ SV141 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV141 ) )
        = $true )
      | ( ( m1_lattice4 @ ( k13_lopclset @ SV141 ) @ SV141 @ ( k12_lopclset @ SV141 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9183]) ).

thf(9355,plain,
    ! [SV144: $i] :
      ( ( ( v17_lattices @ SV144 )
        = $false )
      | ( ( v3_struct_0 @ SV144 )
        = $true )
      | ( ( v10_lattices @ SV144 )
        = $false )
      | ( ( v3_realset2 @ SV144 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV144 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV144 )
          = ( k2_relat_1 @ ( k9_lopclset @ SV144 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9184]) ).

thf(9356,plain,
    ! [SV145: $i] :
      ( ( ( v17_lattices @ SV145 )
        = $false )
      | ( ( v3_struct_0 @ SV145 )
        = $true )
      | ( ( v10_lattices @ SV145 )
        = $false )
      | ( ( v3_realset2 @ SV145 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV145 ) )
        = $true )
      | ( ( ( k3_tarski @ ( k10_lopclset @ SV145 ) )
          = ( k7_lopclset @ SV145 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9185]) ).

thf(9357,plain,
    ! [SV146: $i] :
      ( ( ( v17_lattices @ SV146 )
        = $false )
      | ( ( v3_struct_0 @ SV146 )
        = $true )
      | ( ( v10_lattices @ SV146 )
        = $false )
      | ( ( v3_realset2 @ SV146 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV146 ) )
        = $true )
      | ( ( r1_tarski @ ( k10_lopclset @ SV146 ) @ ( k1_lopclset @ ( k11_lopclset @ SV146 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9186]) ).

thf(9358,plain,
    ! [SV147: $i] :
      ( ( ( v17_lattices @ SV147 )
        = $false )
      | ( ( v3_struct_0 @ SV147 )
        = $true )
      | ( ( v10_lattices @ SV147 )
        = $false )
      | ( ( v3_realset2 @ SV147 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV147 ) )
        = $true )
      | ( ( ( k10_lopclset @ SV147 )
          = ( k1_lopclset @ ( k11_lopclset @ SV147 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9187]) ).

thf(9359,plain,
    ! [SV148: $i] :
      ( ( ( v17_lattices @ SV148 )
        = $false )
      | ( ( v3_struct_0 @ SV148 )
        = $true )
      | ( ( v10_lattices @ SV148 )
        = $false )
      | ( ( v3_realset2 @ SV148 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV148 ) )
        = $true )
      | ( ( ( k2_relat_1 @ ( k13_lopclset @ SV148 ) )
          = ( u1_struct_0 @ ( k12_lopclset @ SV148 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9188]) ).

thf(9360,plain,
    ! [SV149: $i] :
      ( ( ( v17_lattices @ SV149 )
        = $false )
      | ( ( v3_struct_0 @ SV149 )
        = $true )
      | ( ( v10_lattices @ SV149 )
        = $false )
      | ( ( v3_realset2 @ SV149 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV149 ) )
        = $true )
      | ( ( v3_lattice4 @ ( k13_lopclset @ SV149 ) @ SV149 @ ( k12_lopclset @ SV149 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9189]) ).

thf(9361,plain,
    ! [SV151: $i] :
      ( ( ( ~ ! [SY475: $i] :
                ( ( v3_struct_0 @ SY475 )
                | ~ ( v10_lattices @ SY475 )
                | ~ ( l3_lattices @ SY475 )
                | ~ ( v12_lattices @ SV151 )
                | ~ ( v12_lattices @ SY475 )
                | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY475 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9191]) ).

thf(9362,plain,
    ! [SV151: $i] :
      ( ( ( ~ ~ ( ~ ! [SY476: $i] :
                      ( ( v3_struct_0 @ SY476 )
                      | ~ ( v10_lattices @ SY476 )
                      | ~ ( l3_lattices @ SY476 )
                      | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                      | ( v12_lattices @ SV151 ) )
                | ~ ! [SY477: $i] :
                      ( ( v3_struct_0 @ SY477 )
                      | ~ ( v10_lattices @ SY477 )
                      | ~ ( l3_lattices @ SY477 )
                      | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                      | ( v12_lattices @ SY477 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9191]) ).

thf(9363,plain,
    ! [SV152: $i] :
      ( ( ( ~ ! [SY478: $i] :
                ( ( v3_struct_0 @ SY478 )
                | ~ ( v10_lattices @ SY478 )
                | ~ ( l3_lattices @ SY478 )
                | ~ ( r1_filter_1 @ SV152 @ SY478 )
                | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY478 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9192]) ).

thf(9364,plain,
    ! [SV152: $i] :
      ( ( ( ~ ! [SY479: $i] :
                ( ( v3_struct_0 @ SY479 )
                | ~ ( v10_lattices @ SY479 )
                | ~ ( l3_lattices @ SY479 )
                | ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY479 ) )
                | ( r1_filter_1 @ SV152 @ SY479 ) ) )
        = $false )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9192]) ).

thf(9365,plain,
    ! [SV153: $i] :
      ( ( ( ~ ! [SY480: $i] :
                ( ~ ( m1_borsuk_1 @ SY480 @ SV153 )
                | ~ ( v1_xboole_0 @ SY480 ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9193]) ).

thf(9366,plain,
    ! [SV153: $i] :
      ( ( ( ~ ! [SY481: $i] :
                ( ~ ( m1_borsuk_1 @ SY481 @ SV153 )
                | ( m1_eqrel_1 @ SY481 @ ( u1_struct_0 @ SV153 ) ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9193]) ).

thf(9367,plain,
    ! [SV323: $i] :
      ( ( ( ( v3_struct_0 @ SV323 )
          | ~ ( v10_lattices @ SV323 )
          | ~ ( v17_lattices @ SV323 )
          | ( v3_realset2 @ SV323 )
          | ~ ( l3_lattices @ SV323 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV323 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9194]) ).

thf(9368,plain,
    ! [SV324: $i] :
      ( ( ( ( v3_struct_0 @ SV324 )
          | ~ ( v10_lattices @ SV324 )
          | ~ ( v17_lattices @ SV324 )
          | ( v3_realset2 @ SV324 )
          | ~ ( l3_lattices @ SV324 ) )
        = $true )
      | ( ( v10_lattices @ ( k12_lopclset @ SV324 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9195]) ).

thf(9369,plain,
    ! [SV231: $i] :
      ( ( ( ( v3_struct_0 @ SV231 )
          | ~ ( v10_lattices @ SV231 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV231 ) )
        = $true )
      | ( ( v3_realset2 @ SV231 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV231 ) )
        = $true )
      | ( ( l3_lattices @ ( k12_lopclset @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9196]) ).

thf(9370,plain,
    ! [SV350: $i,SV325: $i] :
      ( ( ( v3_struct_0 @ SV325 )
        | ~ ( v2_pre_topc @ SV325 )
        | ~ ( l1_pre_topc @ SV325 )
        | ( v3_struct_0 @ SV350 )
        | ~ ( v2_pre_topc @ SV350 )
        | ~ ( l1_pre_topc @ SV350 )
        | ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9197]) ).

thf(9371,plain,
    ! [SV351: $i,SV326: $i] :
      ( ( ( v3_struct_0 @ SV326 )
        | ~ ( v2_pre_topc @ SV326 )
        | ~ ( l1_pre_topc @ SV326 )
        | ( v3_struct_0 @ SV351 )
        | ~ ( v2_pre_topc @ SV351 )
        | ~ ( l1_pre_topc @ SV351 )
        | ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9198]) ).

thf(9372,plain,
    ! [SV298: $i,SV234: $i] :
      ( ( ( ( v3_struct_0 @ SV234 )
          | ~ ( v2_pre_topc @ SV234 )
          | ~ ( l1_pre_topc @ SV234 )
          | ( v3_struct_0 @ SV298 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV298 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV298 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9199]) ).

thf(9373,plain,
    ( ( ~ ( l1_pre_topc @ sK70_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9201]) ).

thf(9374,plain,
    ( ( ~ ~ ( v3_struct_0 @ sK70_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9201]) ).

thf(9375,plain,
    ! [SV235: $i,SV299: $i] :
      ( ( ( v1_relat_1 @ SV299 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ SV235 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV299 @ SV235 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9202]) ).

thf(9376,plain,
    ! [SV236: $i,SV300: $i] :
      ( ( ( v1_relat_1 @ SV300 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ SV236 ) )
        = $true )
      | ( ( v1_xboole_0 @ ( k5_relat_1 @ SV300 @ SV236 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9203]) ).

thf(9377,plain,
    ! [SV155: $i] :
      ( ( ( ~ ( ~ ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 )
              | ~ ( v1_pre_topc @ ( sK67_B @ SV155 ) ) ) )
        = $true )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( v2_pre_topc @ SV155 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9204]) ).

thf(9378,plain,
    ! [SV155: $i] :
      ( ( ( v2_pre_topc @ ( sK67_B @ SV155 ) )
        = $true )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( v2_pre_topc @ SV155 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9205]) ).

thf(9379,plain,
    ! [SV239: $i] :
      ( ( ( v1_xboole_0 @ ( k15_borsuk_1 @ SV239 ) )
        = $false )
      | ( ( v3_struct_0 @ SV239 )
        = $true )
      | ( ( l1_struct_0 @ SV239 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9207]) ).

thf(9380,plain,
    ! [SV156: $i] :
      ( ( ( ~ ! [SY482: $i] :
                ( ( v3_struct_0 @ SY482 )
                | ~ ( v10_lattices @ SY482 )
                | ~ ( l3_lattices @ SY482 )
                | ! [SY483: $i] :
                    ( ~ ( m1_lattice4 @ SY483 @ SV156 @ SY482 )
                    | ~ ( v3_lattice4 @ SY483 @ SV156 @ SY482 ) )
                | ( r1_filter_1 @ SV156 @ SY482 ) ) )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9209]) ).

thf(9381,plain,
    ! [SV156: $i] :
      ( ( ( ~ ! [SY484: $i] :
                ( ( v3_struct_0 @ SY484 )
                | ~ ( v10_lattices @ SY484 )
                | ~ ( l3_lattices @ SY484 )
                | ~ ( r1_filter_1 @ SV156 @ SY484 )
                | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 )
                    | ~ ( v3_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9209]) ).

thf(9382,plain,
    ! [SV327: $i] :
      ( ( ( ~ ( l3_lattices @ SV327 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV327 )
          | ~ ( v15_lattices @ SV327 )
          | ~ ( v3_struct_0 @ SV327 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9210]) ).

thf(9383,plain,
    ! [SV328: $i] :
      ( ( ( ~ ( l3_lattices @ SV328 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV328 )
          | ~ ( v15_lattices @ SV328 )
          | ( v13_lattices @ SV328 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9211]) ).

thf(9384,plain,
    ! [SV241: $i] :
      ( ( ( v3_struct_0 @ SV241 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV241 ) )
        = $true )
      | ( ( v14_lattices @ SV241 )
        = $true )
      | ( ( l3_lattices @ SV241 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9212]) ).

thf(9385,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                                  ( ( v3_struct_0 @ SY485 )
                                  | ~ ( v10_lattices @ SY485 )
                                  | ~ ( l3_lattices @ SY485 )
                                  | ( v3_struct_0 @ SV157 )
                                  | ~ ( v10_lattices @ SV157 )
                                  | ~ ( v17_lattices @ SV157 )
                                  | ~ ( l3_lattices @ SV157 )
                                  | ( v3_struct_0 @ SY485 )
                                  | ~ ( v10_lattices @ SY485 )
                                  | ~ ( v17_lattices @ SY485 )
                                  | ~ ( l3_lattices @ SY485 )
                                  | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                            | ~ ! [SY486: $i] :
                                  ( ( v3_struct_0 @ SY486 )
                                  | ~ ( v10_lattices @ SY486 )
                                  | ~ ( l3_lattices @ SY486 )
                                  | ( v3_struct_0 @ SV157 )
                                  | ~ ( v10_lattices @ SV157 )
                                  | ~ ( v17_lattices @ SV157 )
                                  | ~ ( l3_lattices @ SV157 )
                                  | ( v3_struct_0 @ SY486 )
                                  | ~ ( v10_lattices @ SY486 )
                                  | ~ ( v17_lattices @ SY486 )
                                  | ~ ( l3_lattices @ SY486 )
                                  | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                      | ~ ! [SY487: $i] :
                            ( ( v3_struct_0 @ SY487 )
                            | ~ ( v10_lattices @ SY487 )
                            | ~ ( l3_lattices @ SY487 )
                            | ( v3_struct_0 @ SV157 )
                            | ~ ( v10_lattices @ SV157 )
                            | ~ ( v17_lattices @ SV157 )
                            | ~ ( l3_lattices @ SV157 )
                            | ( v3_struct_0 @ SY487 )
                            | ~ ( v10_lattices @ SY487 )
                            | ~ ( v17_lattices @ SY487 )
                            | ~ ( l3_lattices @ SY487 )
                            | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
                | ~ ! [SY488: $i] :
                      ( ( v3_struct_0 @ SY488 )
                      | ~ ( v10_lattices @ SY488 )
                      | ~ ( l3_lattices @ SY488 )
                      | ( v3_struct_0 @ SV157 )
                      | ~ ( v10_lattices @ SV157 )
                      | ~ ( v17_lattices @ SV157 )
                      | ~ ( l3_lattices @ SV157 )
                      | ( v3_struct_0 @ SY488 )
                      | ~ ( v10_lattices @ SY488 )
                      | ~ ( v17_lattices @ SY488 )
                      | ~ ( l3_lattices @ SY488 )
                      | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9213]) ).

thf(9386,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                          ( ( v3_struct_0 @ SY489 )
                                                          | ~ ( v10_lattices @ SY489 )
                                                          | ~ ( l3_lattices @ SY489 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                          | ~ ( v3_struct_0 @ SV157 ) )
                                                    | ~ ! [SY490: $i] :
                                                          ( ( v3_struct_0 @ SY490 )
                                                          | ~ ( v10_lattices @ SY490 )
                                                          | ~ ( l3_lattices @ SY490 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                          | ( v10_lattices @ SV157 ) ) )
                                              | ~ ! [SY491: $i] :
                                                    ( ( v3_struct_0 @ SY491 )
                                                    | ~ ( v10_lattices @ SY491 )
                                                    | ~ ( l3_lattices @ SY491 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                    | ( v17_lattices @ SV157 ) ) )
                                        | ~ ! [SY492: $i] :
                                              ( ( v3_struct_0 @ SY492 )
                                              | ~ ( v10_lattices @ SY492 )
                                              | ~ ( l3_lattices @ SY492 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                              | ( l3_lattices @ SV157 ) ) )
                                  | ~ ! [SY493: $i] :
                                        ( ( v3_struct_0 @ SY493 )
                                        | ~ ( v10_lattices @ SY493 )
                                        | ~ ( l3_lattices @ SY493 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                        | ~ ( v3_struct_0 @ SY493 ) ) )
                            | ~ ! [SY494: $i] :
                                  ( ( v3_struct_0 @ SY494 )
                                  | ~ ( v10_lattices @ SY494 )
                                  | ~ ( l3_lattices @ SY494 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                  | ( v10_lattices @ SY494 ) ) )
                      | ~ ! [SY495: $i] :
                            ( ( v3_struct_0 @ SY495 )
                            | ~ ( v10_lattices @ SY495 )
                            | ~ ( l3_lattices @ SY495 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                            | ( v17_lattices @ SY495 ) ) )
                | ~ ! [SY496: $i] :
                      ( ( v3_struct_0 @ SY496 )
                      | ~ ( v10_lattices @ SY496 )
                      | ~ ( l3_lattices @ SY496 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                      | ( l3_lattices @ SY496 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9213]) ).

thf(9387,plain,
    ! [SV158: $i] :
      ( ( ( ~ ! [SY497: $i] :
                ( ( v3_struct_0 @ SY497 )
                | ~ ( v10_lattices @ SY497 )
                | ~ ( l3_lattices @ SY497 )
                | ~ ( v3_filter_0 @ SV158 )
                | ~ ( v3_filter_0 @ SY497 )
                | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY497 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9214]) ).

thf(9388,plain,
    ! [SV158: $i] :
      ( ( ( ~ ~ ( ~ ! [SY498: $i] :
                      ( ( v3_struct_0 @ SY498 )
                      | ~ ( v10_lattices @ SY498 )
                      | ~ ( l3_lattices @ SY498 )
                      | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                      | ( v3_filter_0 @ SV158 ) )
                | ~ ! [SY499: $i] :
                      ( ( v3_struct_0 @ SY499 )
                      | ~ ( v10_lattices @ SY499 )
                      | ~ ( l3_lattices @ SY499 )
                      | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                      | ( v3_filter_0 @ SY499 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9214]) ).

thf(9389,plain,
    ! [SV159: $i,SV209: $i] :
      ( ( ( ~ ( m5_grcat_1 @ ( sK4_C @ SV209 @ SV159 ) @ SV159 @ SV209 )
          | ~ ~ ( v1_xboole_0 @ ( sK4_C @ SV209 @ SV159 ) ) )
        = $false )
      | ( ( l1_struct_0 @ SV159 )
        = $false )
      | ( ( v3_struct_0 @ SV209 )
        = $true )
      | ( ( l1_struct_0 @ SV209 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9215]) ).

thf(9390,plain,
    ! [SV301: $i,SV244: $i] :
      ( ( ( ( v3_struct_0 @ SV244 )
          | ~ ( l3_lattices @ SV244 ) )
        = $true )
      | ( ( v3_struct_0 @ SV301 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV301 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV244 @ SV301 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9217]) ).

thf(9391,plain,
    ! [SV302: $i,SV245: $i] :
      ( ( ( ( v3_struct_0 @ SV245 )
          | ~ ( l3_lattices @ SV245 ) )
        = $true )
      | ( ( v3_struct_0 @ SV302 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV302 ) )
        = $true )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV245 @ SV302 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9218]) ).

thf(9392,plain,
    ! [SV160: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                                  ( ( v3_struct_0 @ SY501 )
                                  | ~ ( l3_lattices @ SY501 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                  | ~ ( v3_struct_0 @ SV160 ) )
                            | ~ ! [SY502: $i] :
                                  ( ( v3_struct_0 @ SY502 )
                                  | ~ ( l3_lattices @ SY502 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                  | ( v10_lattices @ SV160 ) ) )
                      | ~ ! [SY503: $i] :
                            ( ( v3_struct_0 @ SY503 )
                            | ~ ( l3_lattices @ SY503 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                            | ( l3_lattices @ SV160 ) ) )
                | ~ ! [SY504: $i] :
                      ( ( v3_struct_0 @ SY504 )
                      | ~ ( l3_lattices @ SY504 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                      | ~ ( v3_struct_0 @ SY504 ) ) )
          | ~ ! [SY505: $i] :
                ( ( v3_struct_0 @ SY505 )
                | ~ ( l3_lattices @ SY505 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY505 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                | ( v10_lattices @ SY505 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9219]) ).

thf(9393,plain,
    ! [SV160: $i,SV352: $i] :
      ( ( ( ( v3_struct_0 @ SV352 )
          | ~ ( l3_lattices @ SV352 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ( l3_lattices @ SV352 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9220]) ).

thf(9394,plain,
    ! [SV246: $i] :
      ( ( ( v1_realset1 @ ( u1_struct_0 @ SV246 ) )
        = $false )
      | ( ( v3_realset2 @ SV246 )
        = $true )
      | ( ( l1_struct_0 @ SV246 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9221]) ).

thf(9395,plain,
    ! [SV247: $i] :
      ( ( ( v3_realset2 @ SV247 )
        = $false )
      | ( ( v1_realset1 @ ( u1_struct_0 @ SV247 ) )
        = $true )
      | ( ( l1_struct_0 @ SV247 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9222]) ).

thf(9396,plain,
    ! [SV303: $i,SV248: $i] :
      ( ( ( ( v3_struct_0 @ SV248 )
          | ~ ( l3_lattices @ SV248 ) )
        = $true )
      | ( ( v3_struct_0 @ SV303 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV303 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV248 @ SV303 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9223]) ).

thf(9397,plain,
    ! [SV304: $i,SV249: $i] :
      ( ( ( ( v3_struct_0 @ SV249 )
          | ~ ( l3_lattices @ SV249 ) )
        = $true )
      | ( ( v3_struct_0 @ SV304 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV304 ) )
        = $true )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV249 @ SV304 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9224]) ).

thf(9398,plain,
    ! [SV250: $i] :
      ( ( ( v1_finset_1 @ ( u1_struct_0 @ SV250 ) )
        = $false )
      | ( ( v6_group_1 @ SV250 )
        = $true )
      | ( ( l1_struct_0 @ SV250 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9225]) ).

thf(9399,plain,
    ! [SV251: $i] :
      ( ( ( v6_group_1 @ SV251 )
        = $false )
      | ( ( v1_finset_1 @ ( u1_struct_0 @ SV251 ) )
        = $true )
      | ( ( l1_struct_0 @ SV251 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9226]) ).

thf(9400,plain,
    ! [SV161: $i] :
      ( ( ( l3_lattices @ SV161 )
        = $false )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( ~ ( ~ ! [SY507: $i] :
                    ( ~ ( m1_filter_0 @ SY507 @ SV161 )
                    | ( SY507
                      = ( k1_filter_0 @ SV161 ) )
                    | ~ ( v2_filter_0 @ SY507 @ SV161 )
                    | ( v1_filter_0 @ SY507 @ SV161 ) )
              | ~ ~ ( ~ ! [SY508: $i] :
                          ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                          | ~ ( v1_filter_0 @ SY508 @ SV161 )
                          | ( SY508
                           != ( k1_filter_0 @ SV161 ) ) )
                    | ~ ! [SY509: $i] :
                          ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                          | ~ ( v1_filter_0 @ SY509 @ SV161 )
                          | ( v2_filter_0 @ SY509 @ SV161 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9227]) ).

thf(9401,plain,
    ! [SV254: $i] :
      ( ( ( ( v3_struct_0 @ SV254 )
          | ~ ( v13_lattices @ SV254 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV254 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV254 ) )
        = $true )
      | ( ( l3_lattices @ SV254 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9229]) ).

thf(9402,plain,
    ! [SV255: $i] :
      ( ( ( ( v3_struct_0 @ SV255 )
          | ~ ( v13_lattices @ SV255 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV255 ) )
        = $true )
      | ( ( v15_lattices @ SV255 )
        = $true )
      | ( ( l3_lattices @ SV255 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9230]) ).

thf(9403,plain,
    ! [SV256: $i] :
      ( ( ( v10_lattices @ SV256 )
        = $false )
      | ( ( v3_struct_0 @ SV256 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV256 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k1_lattice2 @ SV256 ) )
          | ( v14_lattices @ SV256 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9231]) ).

thf(9404,plain,
    ! [SV257: $i] :
      ( ( ( v10_lattices @ SV257 )
        = $false )
      | ( ( v3_struct_0 @ SV257 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV257 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV257 )
          | ( v13_lattices @ ( k1_lattice2 @ SV257 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9232]) ).

thf(9405,plain,
    ! [SV258: $i] :
      ( ( ( ~ ( v13_lattices @ SV258 )
          | ~ ( v14_lattices @ SV258 ) )
        = $true )
      | ( ( v15_lattices @ SV258 )
        = $true )
      | ( ( v3_struct_0 @ SV258 )
        = $true )
      | ( ( l3_lattices @ SV258 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9233]) ).

thf(9406,plain,
    ! [SV329: $i] :
      ( ( ( ( v3_struct_0 @ SV329 )
          | ~ ( l3_lattices @ SV329 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV329 )
          | ( v13_lattices @ SV329 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9234]) ).

thf(9407,plain,
    ! [SV330: $i] :
      ( ( ( ( v3_struct_0 @ SV330 )
          | ~ ( l3_lattices @ SV330 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV330 )
          | ( v14_lattices @ SV330 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9235]) ).

thf(9408,plain,
    ! [SV259: $i] :
      ( ( ( v1_xboole_0 @ ( u1_struct_0 @ SV259 ) )
        = $false )
      | ( ( v3_struct_0 @ SV259 )
        = $true )
      | ( ( l1_struct_0 @ SV259 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9236]) ).

thf(9409,plain,
    ! [SV260: $i] :
      ( ( ( v3_struct_0 @ SV260 )
        = $false )
      | ( ( v1_xboole_0 @ ( u1_struct_0 @ SV260 ) )
        = $true )
      | ( ( l1_struct_0 @ SV260 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9237]) ).

thf(9410,plain,
    ! [SV162: $i] :
      ( ( ( l3_lattices @ SV162 )
        = $false )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY510: $i] :
                                ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                          | ~ ! [SY511: $i] :
                                ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                                | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
                    | ~ ! [SY512: $i] :
                          ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                          | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
              | ~ ! [SY513: $i] :
                    ( ~ ( m1_filter_0 @ SY513 @ SV162 )
                    | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9238]) ).

thf(9411,plain,
    ! [SV163: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                            | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                      | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
                | ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9239]) ).

thf(9412,plain,
    ! [SV163: $i] :
      ( ( ( ~ ( v1_borsuk_1 @ ( sK7_B @ SV163 ) @ SV163 ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9239]) ).

thf(9413,plain,
    ! [SV261: $i] :
      ( ( ( ( v3_struct_0 @ SV261 )
          | ~ ( v10_lattices @ SV261 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV261 ) )
        = $true )
      | ( ( v3_realset2 @ SV261 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV261 ) )
        = $true )
      | ( ( v1_funct_1 @ ( k8_lopclset @ SV261 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9240]) ).

thf(9414,plain,
    ! [SV262: $i] :
      ( ( ( ( v3_struct_0 @ SV262 )
          | ~ ( v10_lattices @ SV262 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV262 ) )
        = $true )
      | ( ( v3_realset2 @ SV262 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV262 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k8_lopclset @ SV262 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9241]) ).

thf(9415,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                                  ( ( v3_struct_0 @ SY514 )
                                  | ~ ( v10_lattices @ SY514 )
                                  | ~ ( l3_lattices @ SY514 )
                                  | ( v3_struct_0 @ SV164 )
                                  | ~ ( v10_lattices @ SV164 )
                                  | ~ ( v11_lattices @ SV164 )
                                  | ~ ( l3_lattices @ SV164 )
                                  | ( v3_struct_0 @ SY514 )
                                  | ~ ( v10_lattices @ SY514 )
                                  | ~ ( v11_lattices @ SY514 )
                                  | ~ ( l3_lattices @ SY514 )
                                  | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                            | ~ ! [SY515: $i] :
                                  ( ( v3_struct_0 @ SY515 )
                                  | ~ ( v10_lattices @ SY515 )
                                  | ~ ( l3_lattices @ SY515 )
                                  | ( v3_struct_0 @ SV164 )
                                  | ~ ( v10_lattices @ SV164 )
                                  | ~ ( v11_lattices @ SV164 )
                                  | ~ ( l3_lattices @ SV164 )
                                  | ( v3_struct_0 @ SY515 )
                                  | ~ ( v10_lattices @ SY515 )
                                  | ~ ( v11_lattices @ SY515 )
                                  | ~ ( l3_lattices @ SY515 )
                                  | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                      | ~ ! [SY516: $i] :
                            ( ( v3_struct_0 @ SY516 )
                            | ~ ( v10_lattices @ SY516 )
                            | ~ ( l3_lattices @ SY516 )
                            | ( v3_struct_0 @ SV164 )
                            | ~ ( v10_lattices @ SV164 )
                            | ~ ( v11_lattices @ SV164 )
                            | ~ ( l3_lattices @ SV164 )
                            | ( v3_struct_0 @ SY516 )
                            | ~ ( v10_lattices @ SY516 )
                            | ~ ( v11_lattices @ SY516 )
                            | ~ ( l3_lattices @ SY516 )
                            | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
                | ~ ! [SY517: $i] :
                      ( ( v3_struct_0 @ SY517 )
                      | ~ ( v10_lattices @ SY517 )
                      | ~ ( l3_lattices @ SY517 )
                      | ( v3_struct_0 @ SV164 )
                      | ~ ( v10_lattices @ SV164 )
                      | ~ ( v11_lattices @ SV164 )
                      | ~ ( l3_lattices @ SV164 )
                      | ( v3_struct_0 @ SY517 )
                      | ~ ( v10_lattices @ SY517 )
                      | ~ ( v11_lattices @ SY517 )
                      | ~ ( l3_lattices @ SY517 )
                      | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9242]) ).

thf(9416,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                          ( ( v3_struct_0 @ SY518 )
                                                          | ~ ( v10_lattices @ SY518 )
                                                          | ~ ( l3_lattices @ SY518 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                          | ~ ( v3_struct_0 @ SV164 ) )
                                                    | ~ ! [SY519: $i] :
                                                          ( ( v3_struct_0 @ SY519 )
                                                          | ~ ( v10_lattices @ SY519 )
                                                          | ~ ( l3_lattices @ SY519 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                          | ( v10_lattices @ SV164 ) ) )
                                              | ~ ! [SY520: $i] :
                                                    ( ( v3_struct_0 @ SY520 )
                                                    | ~ ( v10_lattices @ SY520 )
                                                    | ~ ( l3_lattices @ SY520 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                    | ( v11_lattices @ SV164 ) ) )
                                        | ~ ! [SY521: $i] :
                                              ( ( v3_struct_0 @ SY521 )
                                              | ~ ( v10_lattices @ SY521 )
                                              | ~ ( l3_lattices @ SY521 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                              | ( l3_lattices @ SV164 ) ) )
                                  | ~ ! [SY522: $i] :
                                        ( ( v3_struct_0 @ SY522 )
                                        | ~ ( v10_lattices @ SY522 )
                                        | ~ ( l3_lattices @ SY522 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                        | ~ ( v3_struct_0 @ SY522 ) ) )
                            | ~ ! [SY523: $i] :
                                  ( ( v3_struct_0 @ SY523 )
                                  | ~ ( v10_lattices @ SY523 )
                                  | ~ ( l3_lattices @ SY523 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                  | ( v10_lattices @ SY523 ) ) )
                      | ~ ! [SY524: $i] :
                            ( ( v3_struct_0 @ SY524 )
                            | ~ ( v10_lattices @ SY524 )
                            | ~ ( l3_lattices @ SY524 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                            | ( v11_lattices @ SY524 ) ) )
                | ~ ! [SY525: $i] :
                      ( ( v3_struct_0 @ SY525 )
                      | ~ ( v10_lattices @ SY525 )
                      | ~ ( l3_lattices @ SY525 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                      | ( l3_lattices @ SY525 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9242]) ).

thf(9417,plain,
    ! [SV165: $i] :
      ( ( ( ~ ! [SY526: $i] :
                ( ( v3_struct_0 @ SY526 )
                | ~ ( v10_lattices @ SY526 )
                | ~ ( l3_lattices @ SY526 )
                | ~ ( v15_lattices @ SV165 )
                | ~ ( v15_lattices @ SY526 )
                | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY526 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9243]) ).

thf(9418,plain,
    ! [SV165: $i] :
      ( ( ( ~ ~ ( ~ ! [SY527: $i] :
                      ( ( v3_struct_0 @ SY527 )
                      | ~ ( v10_lattices @ SY527 )
                      | ~ ( l3_lattices @ SY527 )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                      | ( v15_lattices @ SV165 ) )
                | ~ ! [SY528: $i] :
                      ( ( v3_struct_0 @ SY528 )
                      | ~ ( v10_lattices @ SY528 )
                      | ~ ( l3_lattices @ SY528 )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                      | ( v15_lattices @ SY528 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9243]) ).

thf(9419,plain,
    ! [SV166: $i] :
      ( ( ( ~ ( m1_pre_topc @ ( sK68_B @ SV166 ) @ SV166 )
          | ~ ~ ( v3_struct_0 @ ( sK68_B @ SV166 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9244]) ).

thf(9420,plain,
    ! [SV167: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
                    | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
              | ~ ( v2_pre_topc @ ( sK8_B @ SV167 ) ) ) )
        = $true )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9246]) ).

thf(9421,plain,
    ! [SV167: $i] :
      ( ( ( v1_borsuk_1 @ ( sK8_B @ SV167 ) @ SV167 )
        = $true )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9247]) ).

thf(9422,plain,
    ! [SV269: $i] :
      ( ( ( v10_lattices @ SV269 )
        = $false )
      | ( ( v3_struct_0 @ SV269 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV269 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV269 )
          | ~ ( v3_filter_0 @ SV269 )
          | ( v1_lattice2 @ SV269 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9249]) ).

thf(9423,plain,
    ! [SV331: $i] :
      ( ( ( ( v3_struct_0 @ SV331 )
          | ~ ( v10_lattices @ SV331 )
          | ~ ( l3_lattices @ SV331 ) )
        = $true )
      | ( ( ~ ( v1_lattice2 @ SV331 )
          | ( v13_lattices @ SV331 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9250]) ).

thf(9424,plain,
    ! [SV332: $i] :
      ( ( ( ( v3_struct_0 @ SV332 )
          | ~ ( v10_lattices @ SV332 )
          | ~ ( l3_lattices @ SV332 ) )
        = $true )
      | ( ( ~ ( v1_lattice2 @ SV332 )
          | ( v3_filter_0 @ SV332 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9251]) ).

thf(9425,plain,
    ! [SV270: $i] :
      ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV270 ) )
        = $false )
      | ( ( v3_struct_0 @ SV270 )
        = $true )
      | ( ( l3_lattices @ SV270 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9252]) ).

thf(9426,plain,
    ! [SV272: $i] :
      ( ( ( v10_lattices @ SV272 )
        = $false )
      | ( ( v3_struct_0 @ SV272 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV272 ) )
        = $true )
      | ( ( ~ ( v6_group_1 @ SV272 )
          | ( v6_group_1 @ ( k1_lattice2 @ SV272 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9254]) ).

thf(9427,plain,
    ! [SV273: $i] :
      ( ( ( v10_lattices @ SV273 )
        = $false )
      | ( ( v3_struct_0 @ SV273 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV273 ) )
        = $true )
      | ( ( ~ ( v6_group_1 @ ( k1_lattice2 @ SV273 ) )
          | ( v6_group_1 @ SV273 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9255]) ).

thf(9428,plain,
    ! [SV168: $i] :
      ( ( ( ~ ! [SY529: $i] :
                ( ( v3_struct_0 @ SY529 )
                | ~ ( v10_lattices @ SY529 )
                | ~ ( l3_lattices @ SY529 )
                | ~ ( v14_lattices @ SV168 )
                | ~ ( v14_lattices @ SY529 )
                | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY529 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9256]) ).

thf(9429,plain,
    ! [SV168: $i] :
      ( ( ( ~ ~ ( ~ ! [SY530: $i] :
                      ( ( v3_struct_0 @ SY530 )
                      | ~ ( v10_lattices @ SY530 )
                      | ~ ( l3_lattices @ SY530 )
                      | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                      | ( v14_lattices @ SV168 ) )
                | ~ ! [SY531: $i] :
                      ( ( v3_struct_0 @ SY531 )
                      | ~ ( v10_lattices @ SY531 )
                      | ~ ( l3_lattices @ SY531 )
                      | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                      | ( v14_lattices @ SY531 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9256]) ).

thf(9430,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9259]) ).

thf(9431,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( m1_filter_0 @ SX1 @ SX0 )
            | ( v3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9259]) ).

thf(9432,plain,
    ! [SV353: $i,SV333: $i] :
      ( ( ( v3_struct_0 @ SV333 )
        | ~ ( v10_lattices @ SV333 )
        | ~ ( l3_lattices @ SV333 )
        | ~ ( m1_filter_0 @ SV353 @ SV333 )
        | ( v10_lattices @ ( k5_filter_1 @ SV333 @ SV353 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9260]) ).

thf(9433,plain,
    ! [SV305: $i,SV276: $i] :
      ( ( ( ( v3_struct_0 @ SV276 )
          | ~ ( v10_lattices @ SV276 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV276 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV305 @ SV276 ) )
        = $true )
      | ( ( l3_lattices @ ( k5_filter_1 @ SV276 @ SV305 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9261]) ).

thf(9434,plain,
    ! [SV277: $i] :
      ( ( ( v2_pre_topc @ SV277 )
        = $false )
      | ( ( l1_pre_topc @ SV277 )
        = $false )
      | ( ( v3_pre_topc @ ( k2_pre_topc @ SV277 ) @ SV277 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9262]) ).

thf(9435,plain,
    ! [SV278: $i] :
      ( ( ( v2_pre_topc @ SV278 )
        = $false )
      | ( ( l1_pre_topc @ SV278 )
        = $false )
      | ( ( v4_pre_topc @ ( k2_pre_topc @ SV278 ) @ SV278 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9263]) ).

thf(9436,plain,
    ! [SV354: $i,SV334: $i] :
      ( ( ~ ( l1_pre_topc @ SV334 )
        | ~ ( v2_pre_topc @ SV334 )
        | ~ ( v2_pre_topc @ SV354 )
        | ~ ( l1_pre_topc @ SV354 )
        | ( v1_pre_topc @ ( k6_borsuk_1 @ SV334 @ SV354 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9265]) ).

thf(9437,plain,
    ! [SV355: $i,SV335: $i] :
      ( ( ~ ( l1_pre_topc @ SV335 )
        | ~ ( v2_pre_topc @ SV335 )
        | ~ ( v2_pre_topc @ SV355 )
        | ~ ( l1_pre_topc @ SV355 )
        | ( v2_pre_topc @ ( k6_borsuk_1 @ SV335 @ SV355 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9266]) ).

thf(9438,plain,
    ! [SV306: $i,SV279: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV279 )
          | ~ ( v2_pre_topc @ SV279 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV306 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV306 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k6_borsuk_1 @ SV279 @ SV306 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9267]) ).

thf(9439,plain,
    ! [SV280: $i] :
      ( ( ( ( v3_struct_0 @ SV280 )
          | ~ ( v11_lattices @ SV280 )
          | ~ ( v15_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV280 ) )
        = $true )
      | ( ( l3_lattices @ SV280 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9269]) ).

thf(9440,plain,
    ! [SV281: $i] :
      ( ( ( ( v3_struct_0 @ SV281 )
          | ~ ( v11_lattices @ SV281 )
          | ~ ( v15_lattices @ SV281 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV281 ) )
        = $true )
      | ( ( v17_lattices @ SV281 )
        = $true )
      | ( ( l3_lattices @ SV281 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9270]) ).

thf(9441,plain,
    ! [SV336: $i] :
      ( ( ( ( v3_struct_0 @ SV336 )
          | ~ ( v2_pre_topc @ SV336 )
          | ~ ( l1_pre_topc @ SV336 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_lopclset @ SV336 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9271]) ).

thf(9442,plain,
    ! [SV337: $i] :
      ( ( ( ( v3_struct_0 @ SV337 )
          | ~ ( v2_pre_topc @ SV337 )
          | ~ ( l1_pre_topc @ SV337 ) )
        = $true )
      | ( ( v10_lattices @ ( k6_lopclset @ SV337 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9272]) ).

thf(9443,plain,
    ! [SV282: $i] :
      ( ( ( v2_pre_topc @ SV282 )
        = $false )
      | ( ( v3_struct_0 @ SV282 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV282 ) )
        = $true )
      | ( ( l3_lattices @ ( k6_lopclset @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9273]) ).

thf(9444,plain,
    ! [SV338: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV338 )
          | ~ ( v1_xboole_0 @ SV338 )
          | ~ ( v1_funct_1 @ SV338 ) )
        = $true )
      | ( ( v1_funct_1 @ SV338 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9274]) ).

thf(9445,plain,
    ! [SV339: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV339 )
          | ~ ( v1_xboole_0 @ SV339 )
          | ~ ( v1_funct_1 @ SV339 ) )
        = $true )
      | ( ( v1_relat_1 @ SV339 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9275]) ).

thf(9446,plain,
    ! [SV283: $i] :
      ( ( ( v1_relat_1 @ SV283 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ SV283 ) )
        = $true )
      | ( ( ~ ( v1_funct_1 @ SV283 ) )
        = $true )
      | ( ( v2_funct_1 @ SV283 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9276]) ).

thf(9447,plain,
    ! [SV340: $i] :
      ( ( ( ( v3_struct_0 @ SV340 )
          | ~ ( v10_lattices @ SV340 )
          | ~ ( v17_lattices @ SV340 )
          | ( v3_realset2 @ SV340 )
          | ~ ( l3_lattices @ SV340 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9277]) ).

thf(9448,plain,
    ! [SV341: $i] :
      ( ( ( ( v3_struct_0 @ SV341 )
          | ~ ( v10_lattices @ SV341 )
          | ~ ( v17_lattices @ SV341 )
          | ( v3_realset2 @ SV341 )
          | ~ ( l3_lattices @ SV341 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV341 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9278]) ).

thf(9449,plain,
    ! [SV284: $i] :
      ( ( ( ( v3_struct_0 @ SV284 )
          | ~ ( v10_lattices @ SV284 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV284 ) )
        = $true )
      | ( ( v3_realset2 @ SV284 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV284 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV284 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9279]) ).

thf(9450,plain,
    ! [SV285: $i,SV307: $i] :
      ( ( ( v1_relat_1 @ SV307 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ SV285 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV285 @ SV307 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9280]) ).

thf(9451,plain,
    ! [SV286: $i,SV308: $i] :
      ( ( ( v1_relat_1 @ SV308 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ SV286 ) )
        = $true )
      | ( ( v1_xboole_0 @ ( k5_relat_1 @ SV286 @ SV308 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9281]) ).

thf(9452,plain,
    ! [SV169: $i] :
      ( ( ( ~ ! [SY532: $i] :
                ( ( v3_struct_0 @ SY532 )
                | ~ ( v10_lattices @ SY532 )
                | ~ ( l3_lattices @ SY532 )
                | ~ ( v13_lattices @ SV169 )
                | ~ ( v13_lattices @ SY532 )
                | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY532 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9282]) ).

thf(9453,plain,
    ! [SV169: $i] :
      ( ( ( ~ ~ ( ~ ! [SY533: $i] :
                      ( ( v3_struct_0 @ SY533 )
                      | ~ ( v10_lattices @ SY533 )
                      | ~ ( l3_lattices @ SY533 )
                      | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                      | ( v13_lattices @ SV169 ) )
                | ~ ! [SY534: $i] :
                      ( ( v3_struct_0 @ SY534 )
                      | ~ ( v10_lattices @ SY534 )
                      | ~ ( l3_lattices @ SY534 )
                      | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                      | ( v13_lattices @ SY534 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9282]) ).

thf(9454,plain,
    ! [SV342: $i] :
      ( ( ( ( v3_struct_0 @ SV342 )
          | ~ ( v10_lattices @ SV342 )
          | ~ ( v17_lattices @ SV342 )
          | ( v3_realset2 @ SV342 )
          | ~ ( l3_lattices @ SV342 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV342 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9283]) ).

thf(9455,plain,
    ! [SV343: $i] :
      ( ( ( ( v3_struct_0 @ SV343 )
          | ~ ( v10_lattices @ SV343 )
          | ~ ( v17_lattices @ SV343 )
          | ( v3_realset2 @ SV343 )
          | ~ ( l3_lattices @ SV343 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV343 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9284]) ).

thf(9456,plain,
    ! [SV287: $i] :
      ( ( ( ( v3_struct_0 @ SV287 )
          | ~ ( v10_lattices @ SV287 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV287 ) )
        = $true )
      | ( ( v3_realset2 @ SV287 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV287 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k11_lopclset @ SV287 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9285]) ).

thf(9457,plain,
    ( ( ~ ( v1_funct_1 @ sK39_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9286]) ).

thf(9458,plain,
    ( ( ~ ( v1_relat_1 @ sK39_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9286]) ).

thf(9459,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ~ ( v3_struct_0 @ SX0 ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( l3_lattices @ SX0 )
                        | ( v3_struct_0 @ SX0 )
                        | ~ ( v17_lattices @ SX0 )
                        | ( v11_lattices @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v13_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9288]) ).

thf(9460,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v14_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9288]) ).

thf(9461,plain,
    ! [SV344: $i] :
      ( ( ( ~ ( l3_lattices @ SV344 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV344 )
          | ~ ( v17_lattices @ SV344 )
          | ( v15_lattices @ SV344 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9289]) ).

thf(9462,plain,
    ! [SV288: $i] :
      ( ( ( v3_struct_0 @ SV288 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV288 ) )
        = $true )
      | ( ( v16_lattices @ SV288 )
        = $true )
      | ( ( l3_lattices @ SV288 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9290]) ).

thf(9463,plain,
    ! [SV289: $i] :
      ( ( ( v10_lattices @ SV289 )
        = $false )
      | ( ( v3_struct_0 @ SV289 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV289 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV289 )
          | ( v14_lattices @ ( k1_lattice2 @ SV289 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9291]) ).

thf(9464,plain,
    ! [SV290: $i] :
      ( ( ( v10_lattices @ SV290 )
        = $false )
      | ( ( v3_struct_0 @ SV290 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV290 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k1_lattice2 @ SV290 ) )
          | ( v13_lattices @ SV290 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9292]) ).

thf(9465,plain,
    ! [SV291: $i] :
      ( ( ( ~ ( m1_subset_1 @ ( sK11_B @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
          | ~ ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
                | ~ ( ( ( sK11_B @ SV291 )
                     != ( sK12_SY394 @ SV291 ) ) ) ) )
        = $false )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9293]) ).

thf(9466,plain,
    ! [SV292: $i] :
      ( ( ( v3_realset2 @ SV292 )
        = $false )
      | ( ( ! [SY573: $i] :
              ( ~ ( m1_subset_1 @ SY573 @ ( u1_struct_0 @ SV292 ) )
              | ! [SY574: $i] :
                  ( ~ ( m1_subset_1 @ SY574 @ ( u1_struct_0 @ SV292 ) )
                  | ( SY573 = SY574 ) ) ) )
        = $true )
      | ( ( l1_struct_0 @ SV292 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9294]) ).

thf(9467,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                        ( ( v3_struct_0 @ SY535 )
                                        | ~ ( v10_lattices @ SY535 )
                                        | ~ ( l3_lattices @ SY535 )
                                        | ( v3_struct_0 @ SV170 )
                                        | ~ ( v10_lattices @ SV170 )
                                        | ~ ( v15_lattices @ SV170 )
                                        | ~ ( v16_lattices @ SV170 )
                                        | ~ ( l3_lattices @ SV170 )
                                        | ( v3_struct_0 @ SY535 )
                                        | ~ ( v10_lattices @ SY535 )
                                        | ~ ( v15_lattices @ SY535 )
                                        | ~ ( v16_lattices @ SY535 )
                                        | ~ ( l3_lattices @ SY535 )
                                        | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                                  | ~ ! [SY536: $i] :
                                        ( ( v3_struct_0 @ SY536 )
                                        | ~ ( v10_lattices @ SY536 )
                                        | ~ ( l3_lattices @ SY536 )
                                        | ( v3_struct_0 @ SV170 )
                                        | ~ ( v10_lattices @ SV170 )
                                        | ~ ( v15_lattices @ SV170 )
                                        | ~ ( v16_lattices @ SV170 )
                                        | ~ ( l3_lattices @ SV170 )
                                        | ( v3_struct_0 @ SY536 )
                                        | ~ ( v10_lattices @ SY536 )
                                        | ~ ( v15_lattices @ SY536 )
                                        | ~ ( v16_lattices @ SY536 )
                                        | ~ ( l3_lattices @ SY536 )
                                        | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                            | ~ ! [SY537: $i] :
                                  ( ( v3_struct_0 @ SY537 )
                                  | ~ ( v10_lattices @ SY537 )
                                  | ~ ( l3_lattices @ SY537 )
                                  | ( v3_struct_0 @ SV170 )
                                  | ~ ( v10_lattices @ SV170 )
                                  | ~ ( v15_lattices @ SV170 )
                                  | ~ ( v16_lattices @ SV170 )
                                  | ~ ( l3_lattices @ SV170 )
                                  | ( v3_struct_0 @ SY537 )
                                  | ~ ( v10_lattices @ SY537 )
                                  | ~ ( v15_lattices @ SY537 )
                                  | ~ ( v16_lattices @ SY537 )
                                  | ~ ( l3_lattices @ SY537 )
                                  | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                      | ~ ! [SY538: $i] :
                            ( ( v3_struct_0 @ SY538 )
                            | ~ ( v10_lattices @ SY538 )
                            | ~ ( l3_lattices @ SY538 )
                            | ( v3_struct_0 @ SV170 )
                            | ~ ( v10_lattices @ SV170 )
                            | ~ ( v15_lattices @ SV170 )
                            | ~ ( v16_lattices @ SV170 )
                            | ~ ( l3_lattices @ SV170 )
                            | ( v3_struct_0 @ SY538 )
                            | ~ ( v10_lattices @ SY538 )
                            | ~ ( v15_lattices @ SY538 )
                            | ~ ( v16_lattices @ SY538 )
                            | ~ ( l3_lattices @ SY538 )
                            | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
                | ~ ! [SY539: $i] :
                      ( ( v3_struct_0 @ SY539 )
                      | ~ ( v10_lattices @ SY539 )
                      | ~ ( l3_lattices @ SY539 )
                      | ( v3_struct_0 @ SV170 )
                      | ~ ( v10_lattices @ SV170 )
                      | ~ ( v15_lattices @ SV170 )
                      | ~ ( v16_lattices @ SV170 )
                      | ~ ( l3_lattices @ SV170 )
                      | ( v3_struct_0 @ SY539 )
                      | ~ ( v10_lattices @ SY539 )
                      | ~ ( v15_lattices @ SY539 )
                      | ~ ( v16_lattices @ SY539 )
                      | ~ ( l3_lattices @ SY539 )
                      | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9295]) ).

thf(9468,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                      ( ( v3_struct_0 @ SY540 )
                                                                      | ~ ( v10_lattices @ SY540 )
                                                                      | ~ ( l3_lattices @ SY540 )
                                                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                      | ~ ( v3_struct_0 @ SV170 ) )
                                                                | ~ ! [SY541: $i] :
                                                                      ( ( v3_struct_0 @ SY541 )
                                                                      | ~ ( v10_lattices @ SY541 )
                                                                      | ~ ( l3_lattices @ SY541 )
                                                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                      | ( v10_lattices @ SV170 ) ) )
                                                          | ~ ! [SY542: $i] :
                                                                ( ( v3_struct_0 @ SY542 )
                                                                | ~ ( v10_lattices @ SY542 )
                                                                | ~ ( l3_lattices @ SY542 )
                                                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                                | ( v15_lattices @ SV170 ) ) )
                                                    | ~ ! [SY543: $i] :
                                                          ( ( v3_struct_0 @ SY543 )
                                                          | ~ ( v10_lattices @ SY543 )
                                                          | ~ ( l3_lattices @ SY543 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                          | ( v16_lattices @ SV170 ) ) )
                                              | ~ ! [SY544: $i] :
                                                    ( ( v3_struct_0 @ SY544 )
                                                    | ~ ( v10_lattices @ SY544 )
                                                    | ~ ( l3_lattices @ SY544 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                    | ( l3_lattices @ SV170 ) ) )
                                        | ~ ! [SY545: $i] :
                                              ( ( v3_struct_0 @ SY545 )
                                              | ~ ( v10_lattices @ SY545 )
                                              | ~ ( l3_lattices @ SY545 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                              | ~ ( v3_struct_0 @ SY545 ) ) )
                                  | ~ ! [SY546: $i] :
                                        ( ( v3_struct_0 @ SY546 )
                                        | ~ ( v10_lattices @ SY546 )
                                        | ~ ( l3_lattices @ SY546 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                        | ( v10_lattices @ SY546 ) ) )
                            | ~ ! [SY547: $i] :
                                  ( ( v3_struct_0 @ SY547 )
                                  | ~ ( v10_lattices @ SY547 )
                                  | ~ ( l3_lattices @ SY547 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                  | ( v15_lattices @ SY547 ) ) )
                      | ~ ! [SY548: $i] :
                            ( ( v3_struct_0 @ SY548 )
                            | ~ ( v10_lattices @ SY548 )
                            | ~ ( l3_lattices @ SY548 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                            | ( v16_lattices @ SY548 ) ) )
                | ~ ! [SY549: $i] :
                      ( ( v3_struct_0 @ SY549 )
                      | ~ ( v10_lattices @ SY549 )
                      | ~ ( l3_lattices @ SY549 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                      | ( l3_lattices @ SY549 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9295]) ).

thf(9469,plain,
    ! [SV293: $i] :
      ( ( ( ~ ( v15_lattices @ SV293 )
          | ~ ( v16_lattices @ SV293 )
          | ~ ( v11_lattices @ SV293 ) )
        = $true )
      | ( ( v17_lattices @ SV293 )
        = $true )
      | ( ( v3_struct_0 @ SV293 )
        = $true )
      | ( ( l3_lattices @ SV293 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9296]) ).

thf(9470,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v15_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9297]) ).

thf(9471,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v16_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9297]) ).

thf(9472,plain,
    ! [SV345: $i] :
      ( ( ( ( v3_struct_0 @ SV345 )
          | ~ ( l3_lattices @ SV345 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV345 )
          | ( v11_lattices @ SV345 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9298]) ).

thf(9473,plain,
    ! [SV294: $i] :
      ( ( ( ! [SY575: $i] :
              ( ( u1_struct_0 @ SV294 )
             != ( k1_tarski @ SY575 ) ) )
        = $true )
      | ( ( v3_realset2 @ SV294 )
        = $true )
      | ( ( v3_struct_0 @ SV294 )
        = $true )
      | ( ( l1_struct_0 @ SV294 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9299]) ).

thf(9474,plain,
    ! [SV295: $i] :
      ( ( ( ~ ( v3_realset2 @ SV295 ) )
        = $true )
      | ( ( ( u1_struct_0 @ SV295 )
          = ( k1_tarski @ ( sK2_B @ SV295 ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV295 )
        = $true )
      | ( ( l1_struct_0 @ SV295 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9300]) ).

thf(9475,plain,
    ! [SV356: $i,SV346: $i] :
      ( ( ( v3_struct_0 @ SV346 )
        | ~ ( v10_lattices @ SV346 )
        | ~ ( l3_lattices @ SV346 )
        | ~ ( m1_filter_0 @ SV356 @ SV346 )
        | ~ ( v3_struct_0 @ ( k8_filter_0 @ SV346 @ SV356 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9301]) ).

thf(9476,plain,
    ! [SV357: $i,SV347: $i] :
      ( ( ( v3_struct_0 @ SV347 )
        | ~ ( v10_lattices @ SV347 )
        | ~ ( l3_lattices @ SV347 )
        | ~ ( m1_filter_0 @ SV357 @ SV347 )
        | ( v10_lattices @ ( k8_filter_0 @ SV347 @ SV357 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9302]) ).

thf(9477,plain,
    ! [SV309: $i,SV296: $i] :
      ( ( ( ( v3_struct_0 @ SV296 )
          | ~ ( v10_lattices @ SV296 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV296 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV309 @ SV296 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_0 @ SV296 @ SV309 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9303]) ).

thf(9478,plain,
    ! [SV171: $i] :
      ( ( ( ~ ( m2_lattice4 @ ( sK53_B @ SV171 ) @ SV171 ) )
        = $false )
      | ( ( v10_lattices @ SV171 )
        = $false )
      | ( ( v3_struct_0 @ SV171 )
        = $true )
      | ( ( l3_lattices @ SV171 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9305]) ).

thf(9479,plain,
    ! [SV171: $i] :
      ( ( ( ~ ~ ( v1_xboole_0 @ ( sK53_B @ SV171 ) ) )
        = $false )
      | ( ( v10_lattices @ SV171 )
        = $false )
      | ( ( v3_struct_0 @ SV171 )
        = $true )
      | ( ( l3_lattices @ SV171 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9305]) ).

thf(9480,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v11_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( v11_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9306]) ).

thf(9481,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v11_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9306]) ).

thf(9482,plain,
    ! [SV348: $i] :
      ( ( ( ( v3_struct_0 @ SV348 )
          | ~ ( v10_lattices @ SV348 )
          | ~ ( l3_lattices @ SV348 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV348 )
          | ~ ( v10_lattices @ SV348 )
          | ~ ( v11_lattices @ SV348 )
          | ~ ( l3_lattices @ SV348 )
          | ( l3_lattices @ ( k1_lattice2 @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9307]) ).

thf(9483,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v3_struct_0 @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ( v3_struct_0 @ SX0 )
                  | ~ ( v10_lattices @ SX0 )
                  | ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                  | ( v10_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9308]) ).

thf(9484,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
            | ( v11_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9308]) ).

thf(9485,plain,
    ! [SV349: $i] :
      ( ( ( ( v3_struct_0 @ SV349 )
          | ~ ( v10_lattices @ SV349 )
          | ~ ( l3_lattices @ SV349 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) )
          | ( l3_lattices @ SV349 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9309]) ).

thf(9486,plain,
    ! [SV16: $i,SV311: $i] :
      ( ( ( m1_filter_0 @ SV311 @ SV16 )
        = $false )
      | ( ( ( k3_filter_0 @ SV16 @ SV311 )
          = SV311 )
        = $true )
      | ( ( v10_lattices @ SV16 )
        = $false )
      | ( ( v3_struct_0 @ SV16 )
        = $true )
      | ( ( l3_lattices @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9311]) ).

thf(9487,plain,
    ! [SV210: $i,SV172: $i,SV22: $i] :
      ( ( ( v3_struct_0 @ SV22 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV172 @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV210 @ SV22 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9315]) ).

thf(9488,plain,
    ! [SV24: $i,SV312: $i] :
      ( ( ( ( v3_struct_0 @ SV312 )
          | ~ ( v10_lattices @ SV312 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV312 ) )
        = $true )
      | ( ( ! [SY577: $i] :
              ( ( v3_struct_0 @ SY577 )
              | ~ ( v10_lattices @ SY577 )
              | ~ ( l3_lattices @ SY577 )
              | ~ ( r1_filter_1 @ SV24 @ SV312 )
              | ~ ( r1_filter_1 @ SV312 @ SY577 )
              | ( r1_filter_1 @ SV24 @ SY577 ) ) )
        = $true )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9316]) ).

thf(9489,plain,
    ! [SV25: $i,SV313: $i] :
      ( ( ( ( v3_struct_0 @ SV313 )
          | ~ ( v10_lattices @ SV313 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV313 ) )
        = $true )
      | ( ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SV313 ) )
          = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SV313 ) ) )
        = $true )
      | ( ( v10_lattices @ SV25 )
        = $false )
      | ( ( v3_struct_0 @ SV25 )
        = $true )
      | ( ( l3_lattices @ SV25 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9317]) ).

thf(9490,plain,
    ! [SV26: $i,SV314: $i] :
      ( ( ( ( v3_struct_0 @ SV314 )
          | ~ ( v10_lattices @ SV314 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV314 ) )
        = $true )
      | ( ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SV314 ) @ ( k8_filter_1 @ SV314 @ SV26 ) )
        = $true )
      | ( ( v10_lattices @ SV26 )
        = $false )
      | ( ( v3_struct_0 @ SV26 )
        = $true )
      | ( ( l3_lattices @ SV26 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9318]) ).

thf(9491,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( v10_lattices @ SV27 )
        = $false )
      | ( ( v3_struct_0 @ SV27 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV27 ) )
        = $true )
      | ( ( v3_struct_0 @ SV173 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV27 @ SV173 )
          | ( r1_filter_1 @ SV173 @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9319]) ).

thf(9492,plain,
    ! [SV211: $i,SV28: $i] :
      ( ( ( v10_lattices @ SV28 )
        = $false )
      | ( ( v3_struct_0 @ SV28 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV28 ) )
        = $true )
      | ( ( v3_struct_0 @ SV211 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV211 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV211 ) )
        = $true )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9320]) ).

thf(9493,plain,
    ! [SV212: $i,SV174: $i,SV29: $i] :
      ( ( ( v10_lattices @ SV29 )
        = $false )
      | ( ( v3_struct_0 @ SV29 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV29 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV174 @ SV29 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV212 @ SV29 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SV212 ) @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9321]) ).

thf(9494,plain,
    ! [SV213: $i,SV175: $i,SV30: $i] :
      ( ( ( v10_lattices @ SV30 )
        = $false )
      | ( ( v3_struct_0 @ SV30 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV30 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV175 @ SV30 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV213 @ SV30 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV30 @ SV175 @ SV213 )
          = ( k1_filter_1 @ SV30 @ SV213 @ SV175 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9322]) ).

thf(9495,plain,
    ! [SV176: $i,SV31: $i] :
      ( ( ( l3_lattices @ SV31 )
        = $false )
      | ( ( v3_struct_0 @ SV31 )
        = $true )
      | ( ( v10_lattices @ SV31 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV176 @ SV31 ) )
        = $true )
      | ( ( ! [SY411: $i] :
              ~ ( m1_filter_0 @ SY411 @ SV31 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9323]) ).

thf(9496,plain,
    ! [SV38: $i,SV315: $i] :
      ( ( ( m1_filter_0 @ SV315 @ SV38 )
        = $false )
      | ( ( m2_lattice4 @ SV315 @ SV38 )
        = $true )
      | ( ( v10_lattices @ SV38 )
        = $false )
      | ( ( v3_struct_0 @ SV38 )
        = $true )
      | ( ( l3_lattices @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9324]) ).

thf(9497,plain,
    ! [SV40: $i,SV358: $i] :
      ( ( ( ~ ( m3_lattice4 @ SV358 @ SV40 )
          | ( m2_lattice4 @ SV358 @ SV40 ) )
        = $true )
      | ( ( v17_lattices @ SV40 )
        = $false )
      | ( ( v3_struct_0 @ SV40 )
        = $true )
      | ( ( v10_lattices @ SV40 )
        = $false )
      | ( ( l3_lattices @ SV40 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9326]) ).

thf(9498,plain,
    ! [SV177: $i,SV41: $i] :
      ( ( ( v10_lattices @ SV41 )
        = $false )
      | ( ( v3_struct_0 @ SV41 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV41 ) )
        = $true )
      | ( ( v3_struct_0 @ SV177 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV177 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV177 ) )
        = $true )
      | ( ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9327]) ).

thf(9499,plain,
    ! [SV44: $i] :
      ( ( ( l3_lattices @ SV44 )
        = $false )
      | ( ( v3_realset2 @ SV44 )
        = $true )
      | ( ( v10_lattices @ SV44 )
        = $false )
      | ( ( v3_struct_0 @ SV44 )
        = $true )
      | ( ( v17_lattices @ SV44 )
        = $false )
      | ( ( ( k9_lopclset @ SV44 )
          = ( k8_lopclset @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9329]) ).

thf(9500,plain,
    ! [SV45: $i] :
      ( ( ( l3_lattices @ SV45 )
        = $false )
      | ( ( v3_realset2 @ SV45 )
        = $true )
      | ( ( v10_lattices @ SV45 )
        = $false )
      | ( ( v3_struct_0 @ SV45 )
        = $true )
      | ( ( v17_lattices @ SV45 )
        = $false )
      | ( ( ( k13_lopclset @ SV45 )
          = ( k8_lopclset @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9330]) ).

thf(9501,plain,
    ! [SV50: $i] :
      ( ( ( l3_lattices @ SV50 )
        = $false )
      | ( ( v3_realset2 @ SV50 )
        = $true )
      | ( ( v10_lattices @ SV50 )
        = $false )
      | ( ( v3_struct_0 @ SV50 )
        = $true )
      | ( ( v17_lattices @ SV50 )
        = $false )
      | ( ( ( k7_lopclset @ SV50 )
          = ( a_1_1_lopclset @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9331]) ).

thf(9502,plain,
    ! [SV51: $i] :
      ( ( ( l3_lattices @ SV51 )
        = $false )
      | ( ( v3_realset2 @ SV51 )
        = $true )
      | ( ( v10_lattices @ SV51 )
        = $false )
      | ( ( v3_struct_0 @ SV51 )
        = $true )
      | ( ( v17_lattices @ SV51 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV51 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9332]) ).

thf(9503,plain,
    ! [SV52: $i] :
      ( ( ( l3_lattices @ SV52 )
        = $false )
      | ( ( v3_realset2 @ SV52 )
        = $true )
      | ( ( v10_lattices @ SV52 )
        = $false )
      | ( ( v3_struct_0 @ SV52 )
        = $true )
      | ( ( v17_lattices @ SV52 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ ( k10_lopclset @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9333]) ).

thf(9504,plain,
    ! [SV53: $i] :
      ( ( ( l3_lattices @ SV53 )
        = $false )
      | ( ( v3_realset2 @ SV53 )
        = $true )
      | ( ( v10_lattices @ SV53 )
        = $false )
      | ( ( v3_struct_0 @ SV53 )
        = $true )
      | ( ( v17_lattices @ SV53 )
        = $false )
      | ( ( ( k12_lopclset @ SV53 )
          = ( k6_lopclset @ ( k11_lopclset @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9334]) ).

thf(9505,plain,
    ! [SV54: $i] :
      ( ( ( l3_lattices @ SV54 )
        = $false )
      | ( ( v3_realset2 @ SV54 )
        = $true )
      | ( ( v10_lattices @ SV54 )
        = $false )
      | ( ( v3_struct_0 @ SV54 )
        = $true )
      | ( ( v17_lattices @ SV54 )
        = $false )
      | ( ( v2_funct_1 @ ( k9_lopclset @ SV54 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9335]) ).

thf(9506,plain,
    ! [SV55: $i] :
      ( ( ( l3_lattices @ SV55 )
        = $false )
      | ( ( v3_realset2 @ SV55 )
        = $true )
      | ( ( v10_lattices @ SV55 )
        = $false )
      | ( ( v3_struct_0 @ SV55 )
        = $true )
      | ( ( v17_lattices @ SV55 )
        = $false )
      | ( ( r1_filter_1 @ SV55 @ ( k12_lopclset @ SV55 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9336]) ).

thf(9507,plain,
    ! [SV223: $i,SV217: $i,SV184: $i,SV67: $i] :
      ( ( ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV67 @ SV184 @ SV217 @ SV223 ) )
        = $false )
      | ( ( v1_xboole_0 @ SV223 )
        = $true )
      | ( ( v1_xboole_0 @ SV217 )
        = $true )
      | ( ( v1_xboole_0 @ SV184 )
        = $true )
      | ( ( v1_xboole_0 @ SV67 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9337]) ).

thf(9508,plain,
    ! [SV226: $i,SV83: $i,SV316: $i] :
      ( ( ( v1_relat_1 @ SV316 )
        = $false )
      | ( ( ( k5_relat_1 @ ( k5_relat_1 @ SV83 @ SV226 ) @ SV316 )
          = ( k5_relat_1 @ SV83 @ ( k5_relat_1 @ SV226 @ SV316 ) ) )
        = $true )
      | ( ( v1_relat_1 @ SV226 )
        = $false )
      | ( ( v1_relat_1 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9338]) ).

thf(9509,plain,
    ! [SV122: $i,SV359: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV359 @ SV122 )
          | ! [SY587: $i] :
              ( ~ ( m1_filter_0 @ SY587 @ SV122 )
              | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SV359 @ SY587 ) )
                = ( k7_filter_0 @ SV122 @ SV359 @ SY587 ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV122 )
        = $false )
      | ( ( v3_struct_0 @ SV122 )
        = $true )
      | ( ( v10_lattices @ SV122 )
        = $false )
      | ( ( l3_lattices @ SV122 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9340]) ).

thf(9510,plain,
    ! [SV124: $i,SV317: $i] :
      ( ( ( m1_filter_0 @ SV317 @ SV124 )
        = $false )
      | ( ( ~ ( v14_lattices @ SV124 )
          | ( v14_lattices @ ( k8_filter_0 @ SV124 @ SV317 ) ) )
        = $true )
      | ( ( v10_lattices @ SV124 )
        = $false )
      | ( ( v3_struct_0 @ SV124 )
        = $true )
      | ( ( l3_lattices @ SV124 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9342]) ).

thf(9511,plain,
    ! [SV125: $i,SV318: $i] :
      ( ( ( m1_filter_0 @ SV318 @ SV125 )
        = $false )
      | ( ( ~ ( v12_lattices @ SV125 )
          | ( v12_lattices @ ( k8_filter_0 @ SV125 @ SV318 ) ) )
        = $true )
      | ( ( v10_lattices @ SV125 )
        = $false )
      | ( ( v3_struct_0 @ SV125 )
        = $true )
      | ( ( l3_lattices @ SV125 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9343]) ).

thf(9512,plain,
    ! [SV126: $i,SV319: $i] :
      ( ( ( m1_filter_0 @ SV319 @ SV126 )
        = $false )
      | ( ( ~ ( v11_lattices @ SV126 )
          | ( v11_lattices @ ( k8_filter_0 @ SV126 @ SV319 ) ) )
        = $true )
      | ( ( v10_lattices @ SV126 )
        = $false )
      | ( ( v3_struct_0 @ SV126 )
        = $true )
      | ( ( l3_lattices @ SV126 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9344]) ).

thf(9513,plain,
    ! [SV127: $i,SV320: $i] :
      ( ( ( m1_filter_0 @ SV320 @ SV127 )
        = $false )
      | ( ( ( v3_struct_0 @ SV127 )
          | ~ ( v10_lattices @ SV127 )
          | ~ ( v3_filter_0 @ SV127 )
          | ~ ( l3_lattices @ SV127 )
          | ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SV320 ) ) )
        = $true )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( l3_lattices @ SV127 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9345]) ).

thf(9514,plain,
    ! [SV219: $i,SV201: $i,SV128: $i] :
      ( ( ( v3_struct_0 @ SV128 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV201 @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV219 @ SV128 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9346]) ).

thf(9515,plain,
    ! [SV220: $i,SV202: $i,SV129: $i] :
      ( ( ( v3_struct_0 @ SV129 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV202 @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV220 @ SV129 ) )
        = $true )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9347]) ).

thf(9516,plain,
    ! [SV130: $i,SV203: $i] :
      ( ( ( m1_filter_0 @ SV203 @ SV130 )
        = $false )
      | ( ( v10_lattices @ SV130 )
        = $false )
      | ( ( v3_struct_0 @ SV130 )
        = $true )
      | ( ( l3_lattices @ SV130 )
        = $false )
      | ( ( v1_relat_1 @ ( k10_filter_0 @ SV130 @ SV203 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9348]) ).

thf(9517,plain,
    ! [SV131: $i,SV321: $i] :
      ( ( ( m1_filter_0 @ SV321 @ SV131 )
        = $false )
      | ( ( ! [SY578: $i] :
              ( ~ ( m1_filter_0 @ SY578 @ SV131 )
              | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SV321 @ SY578 ) @ SV131 ) ) )
        = $true )
      | ( ( v10_lattices @ SV131 )
        = $false )
      | ( ( v3_struct_0 @ SV131 )
        = $true )
      | ( ( l3_lattices @ SV131 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9349]) ).

thf(9518,plain,
    ! [SV132: $i,SV360: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV360 @ SV132 )
          | ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SV360 ) ) )
        = $true )
      | ( ( v3_filter_0 @ SV132 )
        = $false )
      | ( ( v3_struct_0 @ SV132 )
        = $true )
      | ( ( v10_lattices @ SV132 )
        = $false )
      | ( ( l3_lattices @ SV132 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9350]) ).

thf(9519,plain,
    ! [SV221: $i,SV206: $i,SV135: $i] :
      ( ( ( v10_lattices @ SV135 )
        = $false )
      | ( ( v3_struct_0 @ SV135 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV135 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV206 @ SV135 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV221 @ SV135 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV135 @ SV206 @ SV221 )
          = ( k3_xboole_0 @ SV206 @ SV221 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9351]) ).

thf(9520,plain,
    ! [SV140: $i,SV322: $i] :
      ( ( ( ( v3_struct_0 @ SV322 )
          | ~ ( v10_lattices @ SV322 )
          | ~ ( v11_lattices @ SV322 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV322 ) )
        = $true )
      | ( ( ! [SY579: $i] :
              ( ~ ( m1_lattice4 @ SY579 @ SV322 @ SV140 )
              | ~ ( v2_lattice4 @ SY579 @ SV322 @ SV140 )
              | ( v11_lattices @ SV140 ) ) )
        = $true )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9353]) ).

thf(9521,plain,
    ! [SV141: $i] :
      ( ( ( l3_lattices @ SV141 )
        = $false )
      | ( ( v3_realset2 @ SV141 )
        = $true )
      | ( ( v10_lattices @ SV141 )
        = $false )
      | ( ( v3_struct_0 @ SV141 )
        = $true )
      | ( ( v17_lattices @ SV141 )
        = $false )
      | ( ( m1_lattice4 @ ( k13_lopclset @ SV141 ) @ SV141 @ ( k12_lopclset @ SV141 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9354]) ).

thf(9522,plain,
    ! [SV144: $i] :
      ( ( ( l3_lattices @ SV144 )
        = $false )
      | ( ( v3_realset2 @ SV144 )
        = $true )
      | ( ( v10_lattices @ SV144 )
        = $false )
      | ( ( v3_struct_0 @ SV144 )
        = $true )
      | ( ( v17_lattices @ SV144 )
        = $false )
      | ( ( ( k10_lopclset @ SV144 )
          = ( k2_relat_1 @ ( k9_lopclset @ SV144 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9355]) ).

thf(9523,plain,
    ! [SV145: $i] :
      ( ( ( l3_lattices @ SV145 )
        = $false )
      | ( ( v3_realset2 @ SV145 )
        = $true )
      | ( ( v10_lattices @ SV145 )
        = $false )
      | ( ( v3_struct_0 @ SV145 )
        = $true )
      | ( ( v17_lattices @ SV145 )
        = $false )
      | ( ( ( k3_tarski @ ( k10_lopclset @ SV145 ) )
          = ( k7_lopclset @ SV145 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9356]) ).

thf(9524,plain,
    ! [SV146: $i] :
      ( ( ( l3_lattices @ SV146 )
        = $false )
      | ( ( v3_realset2 @ SV146 )
        = $true )
      | ( ( v10_lattices @ SV146 )
        = $false )
      | ( ( v3_struct_0 @ SV146 )
        = $true )
      | ( ( v17_lattices @ SV146 )
        = $false )
      | ( ( r1_tarski @ ( k10_lopclset @ SV146 ) @ ( k1_lopclset @ ( k11_lopclset @ SV146 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9357]) ).

thf(9525,plain,
    ! [SV147: $i] :
      ( ( ( l3_lattices @ SV147 )
        = $false )
      | ( ( v3_realset2 @ SV147 )
        = $true )
      | ( ( v10_lattices @ SV147 )
        = $false )
      | ( ( v3_struct_0 @ SV147 )
        = $true )
      | ( ( v17_lattices @ SV147 )
        = $false )
      | ( ( ( k10_lopclset @ SV147 )
          = ( k1_lopclset @ ( k11_lopclset @ SV147 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9358]) ).

thf(9526,plain,
    ! [SV148: $i] :
      ( ( ( l3_lattices @ SV148 )
        = $false )
      | ( ( v3_realset2 @ SV148 )
        = $true )
      | ( ( v10_lattices @ SV148 )
        = $false )
      | ( ( v3_struct_0 @ SV148 )
        = $true )
      | ( ( v17_lattices @ SV148 )
        = $false )
      | ( ( ( k2_relat_1 @ ( k13_lopclset @ SV148 ) )
          = ( u1_struct_0 @ ( k12_lopclset @ SV148 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9359]) ).

thf(9527,plain,
    ! [SV149: $i] :
      ( ( ( l3_lattices @ SV149 )
        = $false )
      | ( ( v3_realset2 @ SV149 )
        = $true )
      | ( ( v10_lattices @ SV149 )
        = $false )
      | ( ( v3_struct_0 @ SV149 )
        = $true )
      | ( ( v17_lattices @ SV149 )
        = $false )
      | ( ( v3_lattice4 @ ( k13_lopclset @ SV149 ) @ SV149 @ ( k12_lopclset @ SV149 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9360]) ).

thf(9528,plain,
    ! [SV151: $i] :
      ( ( ( ! [SY475: $i] :
              ( ( v3_struct_0 @ SY475 )
              | ~ ( v10_lattices @ SY475 )
              | ~ ( l3_lattices @ SY475 )
              | ~ ( v12_lattices @ SV151 )
              | ~ ( v12_lattices @ SY475 )
              | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY475 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9361]) ).

thf(9529,plain,
    ! [SV151: $i] :
      ( ( ( ~ ( ~ ! [SY476: $i] :
                    ( ( v3_struct_0 @ SY476 )
                    | ~ ( v10_lattices @ SY476 )
                    | ~ ( l3_lattices @ SY476 )
                    | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                    | ( v12_lattices @ SV151 ) )
              | ~ ! [SY477: $i] :
                    ( ( v3_struct_0 @ SY477 )
                    | ~ ( v10_lattices @ SY477 )
                    | ~ ( l3_lattices @ SY477 )
                    | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                    | ( v12_lattices @ SY477 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9362]) ).

thf(9530,plain,
    ! [SV152: $i] :
      ( ( ( ! [SY478: $i] :
              ( ( v3_struct_0 @ SY478 )
              | ~ ( v10_lattices @ SY478 )
              | ~ ( l3_lattices @ SY478 )
              | ~ ( r1_filter_1 @ SV152 @ SY478 )
              | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY478 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9363]) ).

thf(9531,plain,
    ! [SV152: $i] :
      ( ( ( ! [SY479: $i] :
              ( ( v3_struct_0 @ SY479 )
              | ~ ( v10_lattices @ SY479 )
              | ~ ( l3_lattices @ SY479 )
              | ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SY479 ) )
              | ( r1_filter_1 @ SV152 @ SY479 ) ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9364]) ).

thf(9532,plain,
    ! [SV153: $i] :
      ( ( ( ! [SY480: $i] :
              ( ~ ( m1_borsuk_1 @ SY480 @ SV153 )
              | ~ ( v1_xboole_0 @ SY480 ) ) )
        = $true )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9365]) ).

thf(9533,plain,
    ! [SV153: $i] :
      ( ( ( ! [SY481: $i] :
              ( ~ ( m1_borsuk_1 @ SY481 @ SV153 )
              | ( m1_eqrel_1 @ SY481 @ ( u1_struct_0 @ SV153 ) ) ) )
        = $true )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9366]) ).

thf(9534,plain,
    ! [SV323: $i] :
      ( ( ( ( v3_struct_0 @ SV323 )
          | ~ ( v10_lattices @ SV323 )
          | ~ ( v17_lattices @ SV323 )
          | ( v3_realset2 @ SV323 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV323 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV323 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9367]) ).

thf(9535,plain,
    ! [SV324: $i] :
      ( ( ( ( v3_struct_0 @ SV324 )
          | ~ ( v10_lattices @ SV324 )
          | ~ ( v17_lattices @ SV324 )
          | ( v3_realset2 @ SV324 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV324 ) )
        = $true )
      | ( ( v10_lattices @ ( k12_lopclset @ SV324 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9368]) ).

thf(9536,plain,
    ! [SV231: $i] :
      ( ( ( v3_struct_0 @ SV231 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV231 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV231 ) )
        = $true )
      | ( ( v3_realset2 @ SV231 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV231 ) )
        = $true )
      | ( ( l3_lattices @ ( k12_lopclset @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9369]) ).

thf(9537,plain,
    ! [SV350: $i,SV325: $i] :
      ( ( ( ( v3_struct_0 @ SV325 )
          | ~ ( v2_pre_topc @ SV325 )
          | ~ ( l1_pre_topc @ SV325 )
          | ( v3_struct_0 @ SV350 )
          | ~ ( v2_pre_topc @ SV350 )
          | ~ ( l1_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9370]) ).

thf(9538,plain,
    ! [SV351: $i,SV326: $i] :
      ( ( ( ( v3_struct_0 @ SV326 )
          | ~ ( v2_pre_topc @ SV326 )
          | ~ ( l1_pre_topc @ SV326 )
          | ( v3_struct_0 @ SV351 )
          | ~ ( v2_pre_topc @ SV351 )
          | ~ ( l1_pre_topc @ SV351 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9371]) ).

thf(9539,plain,
    ! [SV298: $i,SV234: $i] :
      ( ( ( ( v3_struct_0 @ SV234 )
          | ~ ( v2_pre_topc @ SV234 )
          | ~ ( l1_pre_topc @ SV234 ) )
        = $true )
      | ( ( v3_struct_0 @ SV298 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV298 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV298 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9372]) ).

thf(9540,plain,
    ( ( l1_pre_topc @ sK70_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9373]) ).

thf(9541,plain,
    ( ( ~ ( v3_struct_0 @ sK70_A ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9374]) ).

thf(9542,plain,
    ! [SV299: $i,SV235: $i] :
      ( ( ( v1_xboole_0 @ SV235 )
        = $false )
      | ( ( v1_relat_1 @ SV299 )
        = $false )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV299 @ SV235 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9375]) ).

thf(9543,plain,
    ! [SV300: $i,SV236: $i] :
      ( ( ( v1_xboole_0 @ SV236 )
        = $false )
      | ( ( v1_relat_1 @ SV300 )
        = $false )
      | ( ( v1_xboole_0 @ ( k5_relat_1 @ SV300 @ SV236 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9376]) ).

thf(9544,plain,
    ! [SV155: $i] :
      ( ( ( ~ ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 )
          | ~ ( v1_pre_topc @ ( sK67_B @ SV155 ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( v2_pre_topc @ SV155 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9377]) ).

thf(9545,plain,
    ! [SV156: $i] :
      ( ( ( ! [SY482: $i] :
              ( ( v3_struct_0 @ SY482 )
              | ~ ( v10_lattices @ SY482 )
              | ~ ( l3_lattices @ SY482 )
              | ! [SY483: $i] :
                  ( ~ ( m1_lattice4 @ SY483 @ SV156 @ SY482 )
                  | ~ ( v3_lattice4 @ SY483 @ SV156 @ SY482 ) )
              | ( r1_filter_1 @ SV156 @ SY482 ) ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9380]) ).

thf(9546,plain,
    ! [SV156: $i] :
      ( ( ( ! [SY484: $i] :
              ( ( v3_struct_0 @ SY484 )
              | ~ ( v10_lattices @ SY484 )
              | ~ ( l3_lattices @ SY484 )
              | ~ ( r1_filter_1 @ SV156 @ SY484 )
              | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 )
                  | ~ ( v3_lattice4 @ ( sK52_C @ SY484 @ SV156 ) @ SV156 @ SY484 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9381]) ).

thf(9547,plain,
    ! [SV327: $i] :
      ( ( ( l3_lattices @ SV327 )
        = $false )
      | ( ( ( v3_struct_0 @ SV327 )
          | ~ ( v15_lattices @ SV327 )
          | ~ ( v3_struct_0 @ SV327 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9382]) ).

thf(9548,plain,
    ! [SV328: $i] :
      ( ( ( l3_lattices @ SV328 )
        = $false )
      | ( ( ( v3_struct_0 @ SV328 )
          | ~ ( v15_lattices @ SV328 )
          | ( v13_lattices @ SV328 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9383]) ).

thf(9549,plain,
    ! [SV241: $i] :
      ( ( ( v15_lattices @ SV241 )
        = $false )
      | ( ( v3_struct_0 @ SV241 )
        = $true )
      | ( ( v14_lattices @ SV241 )
        = $true )
      | ( ( l3_lattices @ SV241 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9384]) ).

thf(9550,plain,
    ! [SV157: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                                ( ( v3_struct_0 @ SY485 )
                                | ~ ( v10_lattices @ SY485 )
                                | ~ ( l3_lattices @ SY485 )
                                | ( v3_struct_0 @ SV157 )
                                | ~ ( v10_lattices @ SV157 )
                                | ~ ( v17_lattices @ SV157 )
                                | ~ ( l3_lattices @ SV157 )
                                | ( v3_struct_0 @ SY485 )
                                | ~ ( v10_lattices @ SY485 )
                                | ~ ( v17_lattices @ SY485 )
                                | ~ ( l3_lattices @ SY485 )
                                | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                          | ~ ! [SY486: $i] :
                                ( ( v3_struct_0 @ SY486 )
                                | ~ ( v10_lattices @ SY486 )
                                | ~ ( l3_lattices @ SY486 )
                                | ( v3_struct_0 @ SV157 )
                                | ~ ( v10_lattices @ SV157 )
                                | ~ ( v17_lattices @ SV157 )
                                | ~ ( l3_lattices @ SV157 )
                                | ( v3_struct_0 @ SY486 )
                                | ~ ( v10_lattices @ SY486 )
                                | ~ ( v17_lattices @ SY486 )
                                | ~ ( l3_lattices @ SY486 )
                                | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                    | ~ ! [SY487: $i] :
                          ( ( v3_struct_0 @ SY487 )
                          | ~ ( v10_lattices @ SY487 )
                          | ~ ( l3_lattices @ SY487 )
                          | ( v3_struct_0 @ SV157 )
                          | ~ ( v10_lattices @ SV157 )
                          | ~ ( v17_lattices @ SV157 )
                          | ~ ( l3_lattices @ SV157 )
                          | ( v3_struct_0 @ SY487 )
                          | ~ ( v10_lattices @ SY487 )
                          | ~ ( v17_lattices @ SY487 )
                          | ~ ( l3_lattices @ SY487 )
                          | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
              | ~ ! [SY488: $i] :
                    ( ( v3_struct_0 @ SY488 )
                    | ~ ( v10_lattices @ SY488 )
                    | ~ ( l3_lattices @ SY488 )
                    | ( v3_struct_0 @ SV157 )
                    | ~ ( v10_lattices @ SV157 )
                    | ~ ( v17_lattices @ SV157 )
                    | ~ ( l3_lattices @ SV157 )
                    | ( v3_struct_0 @ SY488 )
                    | ~ ( v10_lattices @ SY488 )
                    | ~ ( v17_lattices @ SY488 )
                    | ~ ( l3_lattices @ SY488 )
                    | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9385]) ).

thf(9551,plain,
    ! [SV157: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                        ( ( v3_struct_0 @ SY489 )
                                                        | ~ ( v10_lattices @ SY489 )
                                                        | ~ ( l3_lattices @ SY489 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                        | ~ ( v3_struct_0 @ SV157 ) )
                                                  | ~ ! [SY490: $i] :
                                                        ( ( v3_struct_0 @ SY490 )
                                                        | ~ ( v10_lattices @ SY490 )
                                                        | ~ ( l3_lattices @ SY490 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                        | ( v10_lattices @ SV157 ) ) )
                                            | ~ ! [SY491: $i] :
                                                  ( ( v3_struct_0 @ SY491 )
                                                  | ~ ( v10_lattices @ SY491 )
                                                  | ~ ( l3_lattices @ SY491 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                                  | ( v17_lattices @ SV157 ) ) )
                                      | ~ ! [SY492: $i] :
                                            ( ( v3_struct_0 @ SY492 )
                                            | ~ ( v10_lattices @ SY492 )
                                            | ~ ( l3_lattices @ SY492 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                            | ( l3_lattices @ SV157 ) ) )
                                | ~ ! [SY493: $i] :
                                      ( ( v3_struct_0 @ SY493 )
                                      | ~ ( v10_lattices @ SY493 )
                                      | ~ ( l3_lattices @ SY493 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                      | ~ ( v3_struct_0 @ SY493 ) ) )
                          | ~ ! [SY494: $i] :
                                ( ( v3_struct_0 @ SY494 )
                                | ~ ( v10_lattices @ SY494 )
                                | ~ ( l3_lattices @ SY494 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                                | ( v10_lattices @ SY494 ) ) )
                    | ~ ! [SY495: $i] :
                          ( ( v3_struct_0 @ SY495 )
                          | ~ ( v10_lattices @ SY495 )
                          | ~ ( l3_lattices @ SY495 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                          | ( v17_lattices @ SY495 ) ) )
              | ~ ! [SY496: $i] :
                    ( ( v3_struct_0 @ SY496 )
                    | ~ ( v10_lattices @ SY496 )
                    | ~ ( l3_lattices @ SY496 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                    | ( l3_lattices @ SY496 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9386]) ).

thf(9552,plain,
    ! [SV158: $i] :
      ( ( ( ! [SY497: $i] :
              ( ( v3_struct_0 @ SY497 )
              | ~ ( v10_lattices @ SY497 )
              | ~ ( l3_lattices @ SY497 )
              | ~ ( v3_filter_0 @ SV158 )
              | ~ ( v3_filter_0 @ SY497 )
              | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY497 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9387]) ).

thf(9553,plain,
    ! [SV158: $i] :
      ( ( ( ~ ( ~ ! [SY498: $i] :
                    ( ( v3_struct_0 @ SY498 )
                    | ~ ( v10_lattices @ SY498 )
                    | ~ ( l3_lattices @ SY498 )
                    | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                    | ( v3_filter_0 @ SV158 ) )
              | ~ ! [SY499: $i] :
                    ( ( v3_struct_0 @ SY499 )
                    | ~ ( v10_lattices @ SY499 )
                    | ~ ( l3_lattices @ SY499 )
                    | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                    | ( v3_filter_0 @ SY499 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9388]) ).

thf(9554,plain,
    ! [SV159: $i,SV209: $i] :
      ( ( ( ~ ( m5_grcat_1 @ ( sK4_C @ SV209 @ SV159 ) @ SV159 @ SV209 ) )
        = $false )
      | ( ( l1_struct_0 @ SV159 )
        = $false )
      | ( ( v3_struct_0 @ SV209 )
        = $true )
      | ( ( l1_struct_0 @ SV209 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9389]) ).

thf(9555,plain,
    ! [SV159: $i,SV209: $i] :
      ( ( ( ~ ~ ( v1_xboole_0 @ ( sK4_C @ SV209 @ SV159 ) ) )
        = $false )
      | ( ( l1_struct_0 @ SV159 )
        = $false )
      | ( ( v3_struct_0 @ SV209 )
        = $true )
      | ( ( l1_struct_0 @ SV209 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9389]) ).

thf(9556,plain,
    ! [SV301: $i,SV244: $i] :
      ( ( ( v3_struct_0 @ SV244 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV244 ) )
        = $true )
      | ( ( v3_struct_0 @ SV301 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV301 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV244 @ SV301 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9390]) ).

thf(9557,plain,
    ! [SV302: $i,SV245: $i] :
      ( ( ( v3_struct_0 @ SV245 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV245 ) )
        = $true )
      | ( ( v3_struct_0 @ SV302 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV302 ) )
        = $true )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV245 @ SV302 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9391]) ).

thf(9558,plain,
    ! [SV160: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                                  ( ( v3_struct_0 @ SY501 )
                                  | ~ ( l3_lattices @ SY501 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                  | ~ ( v3_struct_0 @ SV160 ) )
                            | ~ ! [SY502: $i] :
                                  ( ( v3_struct_0 @ SY502 )
                                  | ~ ( l3_lattices @ SY502 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                  | ( v10_lattices @ SV160 ) ) )
                      | ~ ! [SY503: $i] :
                            ( ( v3_struct_0 @ SY503 )
                            | ~ ( l3_lattices @ SY503 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                            | ( l3_lattices @ SV160 ) ) )
                | ~ ! [SY504: $i] :
                      ( ( v3_struct_0 @ SY504 )
                      | ~ ( l3_lattices @ SY504 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                      | ~ ( v3_struct_0 @ SY504 ) ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9392]) ).

thf(9559,plain,
    ! [SV160: $i] :
      ( ( ( ~ ! [SY505: $i] :
                ( ( v3_struct_0 @ SY505 )
                | ~ ( l3_lattices @ SY505 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY505 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
                | ( v10_lattices @ SY505 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9392]) ).

thf(9560,plain,
    ! [SV160: $i,SV352: $i] :
      ( ( ( ( v3_struct_0 @ SV352 )
          | ~ ( l3_lattices @ SV352 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ( l3_lattices @ SV352 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9393]) ).

thf(9561,plain,
    ! [SV303: $i,SV248: $i] :
      ( ( ( v3_struct_0 @ SV248 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV248 ) )
        = $true )
      | ( ( v3_struct_0 @ SV303 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV303 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV248 @ SV303 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9396]) ).

thf(9562,plain,
    ! [SV304: $i,SV249: $i] :
      ( ( ( v3_struct_0 @ SV249 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV249 ) )
        = $true )
      | ( ( v3_struct_0 @ SV304 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV304 ) )
        = $true )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV249 @ SV304 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9397]) ).

thf(9563,plain,
    ! [SV161: $i] :
      ( ( ( ~ ! [SY507: $i] :
                ( ~ ( m1_filter_0 @ SY507 @ SV161 )
                | ( SY507
                  = ( k1_filter_0 @ SV161 ) )
                | ~ ( v2_filter_0 @ SY507 @ SV161 )
                | ( v1_filter_0 @ SY507 @ SV161 ) )
          | ~ ~ ( ~ ! [SY508: $i] :
                      ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                      | ~ ( v1_filter_0 @ SY508 @ SV161 )
                      | ( SY508
                       != ( k1_filter_0 @ SV161 ) ) )
                | ~ ! [SY509: $i] :
                      ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                      | ~ ( v1_filter_0 @ SY509 @ SV161 )
                      | ( v2_filter_0 @ SY509 @ SV161 ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9400]) ).

thf(9564,plain,
    ! [SV254: $i] :
      ( ( ( v3_struct_0 @ SV254 )
        = $true )
      | ( ( ~ ( v13_lattices @ SV254 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV254 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV254 ) )
        = $true )
      | ( ( l3_lattices @ SV254 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9401]) ).

thf(9565,plain,
    ! [SV255: $i] :
      ( ( ( v3_struct_0 @ SV255 )
        = $true )
      | ( ( ~ ( v13_lattices @ SV255 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV255 ) )
        = $true )
      | ( ( v15_lattices @ SV255 )
        = $true )
      | ( ( l3_lattices @ SV255 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9402]) ).

thf(9566,plain,
    ! [SV256: $i] :
      ( ( ( l3_lattices @ SV256 )
        = $false )
      | ( ( v3_struct_0 @ SV256 )
        = $true )
      | ( ( v10_lattices @ SV256 )
        = $false )
      | ( ( ~ ( v13_lattices @ ( k1_lattice2 @ SV256 ) )
          | ( v14_lattices @ SV256 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9403]) ).

thf(9567,plain,
    ! [SV257: $i] :
      ( ( ( l3_lattices @ SV257 )
        = $false )
      | ( ( v3_struct_0 @ SV257 )
        = $true )
      | ( ( v10_lattices @ SV257 )
        = $false )
      | ( ( ~ ( v14_lattices @ SV257 )
          | ( v13_lattices @ ( k1_lattice2 @ SV257 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9404]) ).

thf(9568,plain,
    ! [SV258: $i] :
      ( ( ( ~ ( v13_lattices @ SV258 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV258 ) )
        = $true )
      | ( ( v15_lattices @ SV258 )
        = $true )
      | ( ( v3_struct_0 @ SV258 )
        = $true )
      | ( ( l3_lattices @ SV258 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9405]) ).

thf(9569,plain,
    ! [SV329: $i] :
      ( ( ( v3_struct_0 @ SV329 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV329 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV329 )
          | ( v13_lattices @ SV329 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9406]) ).

thf(9570,plain,
    ! [SV330: $i] :
      ( ( ( v3_struct_0 @ SV330 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV330 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV330 )
          | ( v14_lattices @ SV330 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9407]) ).

thf(9571,plain,
    ! [SV162: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY510: $i] :
                            ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                            | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                      | ~ ! [SY511: $i] :
                            ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                            | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
                | ~ ! [SY512: $i] :
                      ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                      | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
          | ~ ! [SY513: $i] :
                ( ~ ( m1_filter_0 @ SY513 @ SV162 )
                | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9410]) ).

thf(9572,plain,
    ! [SV163: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                          | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                    | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
              | ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) ) )
        = $true )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9411]) ).

thf(9573,plain,
    ! [SV163: $i] :
      ( ( ( v1_borsuk_1 @ ( sK7_B @ SV163 ) @ SV163 )
        = $true )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9412]) ).

thf(9574,plain,
    ! [SV261: $i] :
      ( ( ( v3_struct_0 @ SV261 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV261 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV261 ) )
        = $true )
      | ( ( v3_realset2 @ SV261 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV261 ) )
        = $true )
      | ( ( v1_funct_1 @ ( k8_lopclset @ SV261 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9413]) ).

thf(9575,plain,
    ! [SV262: $i] :
      ( ( ( v3_struct_0 @ SV262 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV262 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV262 ) )
        = $true )
      | ( ( v3_realset2 @ SV262 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV262 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k8_lopclset @ SV262 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9414]) ).

thf(9576,plain,
    ! [SV164: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                                ( ( v3_struct_0 @ SY514 )
                                | ~ ( v10_lattices @ SY514 )
                                | ~ ( l3_lattices @ SY514 )
                                | ( v3_struct_0 @ SV164 )
                                | ~ ( v10_lattices @ SV164 )
                                | ~ ( v11_lattices @ SV164 )
                                | ~ ( l3_lattices @ SV164 )
                                | ( v3_struct_0 @ SY514 )
                                | ~ ( v10_lattices @ SY514 )
                                | ~ ( v11_lattices @ SY514 )
                                | ~ ( l3_lattices @ SY514 )
                                | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                          | ~ ! [SY515: $i] :
                                ( ( v3_struct_0 @ SY515 )
                                | ~ ( v10_lattices @ SY515 )
                                | ~ ( l3_lattices @ SY515 )
                                | ( v3_struct_0 @ SV164 )
                                | ~ ( v10_lattices @ SV164 )
                                | ~ ( v11_lattices @ SV164 )
                                | ~ ( l3_lattices @ SV164 )
                                | ( v3_struct_0 @ SY515 )
                                | ~ ( v10_lattices @ SY515 )
                                | ~ ( v11_lattices @ SY515 )
                                | ~ ( l3_lattices @ SY515 )
                                | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                    | ~ ! [SY516: $i] :
                          ( ( v3_struct_0 @ SY516 )
                          | ~ ( v10_lattices @ SY516 )
                          | ~ ( l3_lattices @ SY516 )
                          | ( v3_struct_0 @ SV164 )
                          | ~ ( v10_lattices @ SV164 )
                          | ~ ( v11_lattices @ SV164 )
                          | ~ ( l3_lattices @ SV164 )
                          | ( v3_struct_0 @ SY516 )
                          | ~ ( v10_lattices @ SY516 )
                          | ~ ( v11_lattices @ SY516 )
                          | ~ ( l3_lattices @ SY516 )
                          | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
              | ~ ! [SY517: $i] :
                    ( ( v3_struct_0 @ SY517 )
                    | ~ ( v10_lattices @ SY517 )
                    | ~ ( l3_lattices @ SY517 )
                    | ( v3_struct_0 @ SV164 )
                    | ~ ( v10_lattices @ SV164 )
                    | ~ ( v11_lattices @ SV164 )
                    | ~ ( l3_lattices @ SV164 )
                    | ( v3_struct_0 @ SY517 )
                    | ~ ( v10_lattices @ SY517 )
                    | ~ ( v11_lattices @ SY517 )
                    | ~ ( l3_lattices @ SY517 )
                    | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9415]) ).

thf(9577,plain,
    ! [SV164: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                        ( ( v3_struct_0 @ SY518 )
                                                        | ~ ( v10_lattices @ SY518 )
                                                        | ~ ( l3_lattices @ SY518 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                        | ~ ( v3_struct_0 @ SV164 ) )
                                                  | ~ ! [SY519: $i] :
                                                        ( ( v3_struct_0 @ SY519 )
                                                        | ~ ( v10_lattices @ SY519 )
                                                        | ~ ( l3_lattices @ SY519 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                        | ( v10_lattices @ SV164 ) ) )
                                            | ~ ! [SY520: $i] :
                                                  ( ( v3_struct_0 @ SY520 )
                                                  | ~ ( v10_lattices @ SY520 )
                                                  | ~ ( l3_lattices @ SY520 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                                  | ( v11_lattices @ SV164 ) ) )
                                      | ~ ! [SY521: $i] :
                                            ( ( v3_struct_0 @ SY521 )
                                            | ~ ( v10_lattices @ SY521 )
                                            | ~ ( l3_lattices @ SY521 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                            | ( l3_lattices @ SV164 ) ) )
                                | ~ ! [SY522: $i] :
                                      ( ( v3_struct_0 @ SY522 )
                                      | ~ ( v10_lattices @ SY522 )
                                      | ~ ( l3_lattices @ SY522 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                      | ~ ( v3_struct_0 @ SY522 ) ) )
                          | ~ ! [SY523: $i] :
                                ( ( v3_struct_0 @ SY523 )
                                | ~ ( v10_lattices @ SY523 )
                                | ~ ( l3_lattices @ SY523 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                                | ( v10_lattices @ SY523 ) ) )
                    | ~ ! [SY524: $i] :
                          ( ( v3_struct_0 @ SY524 )
                          | ~ ( v10_lattices @ SY524 )
                          | ~ ( l3_lattices @ SY524 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                          | ( v11_lattices @ SY524 ) ) )
              | ~ ! [SY525: $i] :
                    ( ( v3_struct_0 @ SY525 )
                    | ~ ( v10_lattices @ SY525 )
                    | ~ ( l3_lattices @ SY525 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                    | ( l3_lattices @ SY525 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9416]) ).

thf(9578,plain,
    ! [SV165: $i] :
      ( ( ( ! [SY526: $i] :
              ( ( v3_struct_0 @ SY526 )
              | ~ ( v10_lattices @ SY526 )
              | ~ ( l3_lattices @ SY526 )
              | ~ ( v15_lattices @ SV165 )
              | ~ ( v15_lattices @ SY526 )
              | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY526 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9417]) ).

thf(9579,plain,
    ! [SV165: $i] :
      ( ( ( ~ ( ~ ! [SY527: $i] :
                    ( ( v3_struct_0 @ SY527 )
                    | ~ ( v10_lattices @ SY527 )
                    | ~ ( l3_lattices @ SY527 )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                    | ( v15_lattices @ SV165 ) )
              | ~ ! [SY528: $i] :
                    ( ( v3_struct_0 @ SY528 )
                    | ~ ( v10_lattices @ SY528 )
                    | ~ ( l3_lattices @ SY528 )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                    | ( v15_lattices @ SY528 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9418]) ).

thf(9580,plain,
    ! [SV166: $i] :
      ( ( ( ~ ( m1_pre_topc @ ( sK68_B @ SV166 ) @ SV166 ) )
        = $false )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9419]) ).

thf(9581,plain,
    ! [SV166: $i] :
      ( ( ( ~ ~ ( v3_struct_0 @ ( sK68_B @ SV166 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9419]) ).

thf(9582,plain,
    ! [SV167: $i] :
      ( ( ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
                | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
          | ~ ( v2_pre_topc @ ( sK8_B @ SV167 ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9420]) ).

thf(9583,plain,
    ! [SV269: $i] :
      ( ( ( l3_lattices @ SV269 )
        = $false )
      | ( ( v3_struct_0 @ SV269 )
        = $true )
      | ( ( v10_lattices @ SV269 )
        = $false )
      | ( ( ~ ( v13_lattices @ SV269 )
          | ~ ( v3_filter_0 @ SV269 )
          | ( v1_lattice2 @ SV269 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9422]) ).

thf(9584,plain,
    ! [SV331: $i] :
      ( ( ( ( v3_struct_0 @ SV331 )
          | ~ ( v10_lattices @ SV331 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV331 ) )
        = $true )
      | ( ( ~ ( v1_lattice2 @ SV331 )
          | ( v13_lattices @ SV331 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9423]) ).

thf(9585,plain,
    ! [SV332: $i] :
      ( ( ( ( v3_struct_0 @ SV332 )
          | ~ ( v10_lattices @ SV332 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV332 ) )
        = $true )
      | ( ( ~ ( v1_lattice2 @ SV332 )
          | ( v3_filter_0 @ SV332 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9424]) ).

thf(9586,plain,
    ! [SV272: $i] :
      ( ( ( l3_lattices @ SV272 )
        = $false )
      | ( ( v3_struct_0 @ SV272 )
        = $true )
      | ( ( v10_lattices @ SV272 )
        = $false )
      | ( ( ~ ( v6_group_1 @ SV272 )
          | ( v6_group_1 @ ( k1_lattice2 @ SV272 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9426]) ).

thf(9587,plain,
    ! [SV273: $i] :
      ( ( ( l3_lattices @ SV273 )
        = $false )
      | ( ( v3_struct_0 @ SV273 )
        = $true )
      | ( ( v10_lattices @ SV273 )
        = $false )
      | ( ( ~ ( v6_group_1 @ ( k1_lattice2 @ SV273 ) )
          | ( v6_group_1 @ SV273 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9427]) ).

thf(9588,plain,
    ! [SV168: $i] :
      ( ( ( ! [SY529: $i] :
              ( ( v3_struct_0 @ SY529 )
              | ~ ( v10_lattices @ SY529 )
              | ~ ( l3_lattices @ SY529 )
              | ~ ( v14_lattices @ SV168 )
              | ~ ( v14_lattices @ SY529 )
              | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY529 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9428]) ).

thf(9589,plain,
    ! [SV168: $i] :
      ( ( ( ~ ( ~ ! [SY530: $i] :
                    ( ( v3_struct_0 @ SY530 )
                    | ~ ( v10_lattices @ SY530 )
                    | ~ ( l3_lattices @ SY530 )
                    | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                    | ( v14_lattices @ SV168 ) )
              | ~ ! [SY531: $i] :
                    ( ( v3_struct_0 @ SY531 )
                    | ~ ( v10_lattices @ SY531 )
                    | ~ ( l3_lattices @ SY531 )
                    | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                    | ( v14_lattices @ SY531 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9429]) ).

thf(9590,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( m1_filter_0 @ SX1 @ SX0 )
          | ~ ( v3_struct_0 @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9430]) ).

thf(9591,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( m1_filter_0 @ SX1 @ SX0 )
          | ( v3_lattices @ ( k5_filter_1 @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9431]) ).

thf(9592,plain,
    ! [SV353: $i,SV333: $i] :
      ( ( ( ( v3_struct_0 @ SV333 )
          | ~ ( v10_lattices @ SV333 )
          | ~ ( l3_lattices @ SV333 )
          | ~ ( m1_filter_0 @ SV353 @ SV333 ) )
        = $true )
      | ( ( v10_lattices @ ( k5_filter_1 @ SV333 @ SV353 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9432]) ).

thf(9593,plain,
    ! [SV305: $i,SV276: $i] :
      ( ( ( v3_struct_0 @ SV276 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV276 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV276 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV305 @ SV276 ) )
        = $true )
      | ( ( l3_lattices @ ( k5_filter_1 @ SV276 @ SV305 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9433]) ).

thf(9594,plain,
    ! [SV354: $i,SV334: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV334 )
          | ~ ( v2_pre_topc @ SV334 )
          | ~ ( v2_pre_topc @ SV354 )
          | ~ ( l1_pre_topc @ SV354 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV334 @ SV354 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9436]) ).

thf(9595,plain,
    ! [SV355: $i,SV335: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV335 )
          | ~ ( v2_pre_topc @ SV335 )
          | ~ ( v2_pre_topc @ SV355 )
          | ~ ( l1_pre_topc @ SV355 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV335 @ SV355 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9437]) ).

thf(9596,plain,
    ! [SV306: $i,SV279: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV279 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV279 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV306 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV306 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k6_borsuk_1 @ SV279 @ SV306 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9438]) ).

thf(9597,plain,
    ! [SV280: $i] :
      ( ( ( ( v3_struct_0 @ SV280 )
          | ~ ( v11_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV280 ) )
        = $true )
      | ( ( l3_lattices @ SV280 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9439]) ).

thf(9598,plain,
    ! [SV281: $i] :
      ( ( ( ( v3_struct_0 @ SV281 )
          | ~ ( v11_lattices @ SV281 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV281 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV281 ) )
        = $true )
      | ( ( v17_lattices @ SV281 )
        = $true )
      | ( ( l3_lattices @ SV281 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9440]) ).

thf(9599,plain,
    ! [SV336: $i] :
      ( ( ( ( v3_struct_0 @ SV336 )
          | ~ ( v2_pre_topc @ SV336 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV336 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_lopclset @ SV336 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9441]) ).

thf(9600,plain,
    ! [SV337: $i] :
      ( ( ( ( v3_struct_0 @ SV337 )
          | ~ ( v2_pre_topc @ SV337 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV337 ) )
        = $true )
      | ( ( v10_lattices @ ( k6_lopclset @ SV337 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9442]) ).

thf(9601,plain,
    ! [SV282: $i] :
      ( ( ( l1_pre_topc @ SV282 )
        = $false )
      | ( ( v3_struct_0 @ SV282 )
        = $true )
      | ( ( v2_pre_topc @ SV282 )
        = $false )
      | ( ( l3_lattices @ ( k6_lopclset @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9443]) ).

thf(9602,plain,
    ! [SV338: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV338 )
          | ~ ( v1_xboole_0 @ SV338 ) )
        = $true )
      | ( ( ~ ( v1_funct_1 @ SV338 ) )
        = $true )
      | ( ( v1_funct_1 @ SV338 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9444]) ).

thf(9603,plain,
    ! [SV339: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV339 )
          | ~ ( v1_xboole_0 @ SV339 ) )
        = $true )
      | ( ( ~ ( v1_funct_1 @ SV339 ) )
        = $true )
      | ( ( v1_relat_1 @ SV339 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9445]) ).

thf(9604,plain,
    ! [SV283: $i] :
      ( ( ( v1_xboole_0 @ SV283 )
        = $false )
      | ( ( v1_relat_1 @ SV283 )
        = $false )
      | ( ( ~ ( v1_funct_1 @ SV283 ) )
        = $true )
      | ( ( v2_funct_1 @ SV283 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9446]) ).

thf(9605,plain,
    ! [SV340: $i] :
      ( ( ( ( v3_struct_0 @ SV340 )
          | ~ ( v10_lattices @ SV340 )
          | ~ ( v17_lattices @ SV340 )
          | ( v3_realset2 @ SV340 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV340 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9447]) ).

thf(9606,plain,
    ! [SV341: $i] :
      ( ( ( ( v3_struct_0 @ SV341 )
          | ~ ( v10_lattices @ SV341 )
          | ~ ( v17_lattices @ SV341 )
          | ( v3_realset2 @ SV341 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV341 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV341 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9448]) ).

thf(9607,plain,
    ! [SV284: $i] :
      ( ( ( v3_struct_0 @ SV284 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV284 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV284 ) )
        = $true )
      | ( ( v3_realset2 @ SV284 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV284 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV284 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9449]) ).

thf(9608,plain,
    ! [SV307: $i,SV285: $i] :
      ( ( ( v1_xboole_0 @ SV285 )
        = $false )
      | ( ( v1_relat_1 @ SV307 )
        = $false )
      | ( ( v1_relat_1 @ ( k5_relat_1 @ SV285 @ SV307 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9450]) ).

thf(9609,plain,
    ! [SV308: $i,SV286: $i] :
      ( ( ( v1_xboole_0 @ SV286 )
        = $false )
      | ( ( v1_relat_1 @ SV308 )
        = $false )
      | ( ( v1_xboole_0 @ ( k5_relat_1 @ SV286 @ SV308 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9451]) ).

thf(9610,plain,
    ! [SV169: $i] :
      ( ( ( ! [SY532: $i] :
              ( ( v3_struct_0 @ SY532 )
              | ~ ( v10_lattices @ SY532 )
              | ~ ( l3_lattices @ SY532 )
              | ~ ( v13_lattices @ SV169 )
              | ~ ( v13_lattices @ SY532 )
              | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY532 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9452]) ).

thf(9611,plain,
    ! [SV169: $i] :
      ( ( ( ~ ( ~ ! [SY533: $i] :
                    ( ( v3_struct_0 @ SY533 )
                    | ~ ( v10_lattices @ SY533 )
                    | ~ ( l3_lattices @ SY533 )
                    | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                    | ( v13_lattices @ SV169 ) )
              | ~ ! [SY534: $i] :
                    ( ( v3_struct_0 @ SY534 )
                    | ~ ( v10_lattices @ SY534 )
                    | ~ ( l3_lattices @ SY534 )
                    | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                    | ( v13_lattices @ SY534 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9453]) ).

thf(9612,plain,
    ! [SV342: $i] :
      ( ( ( ( v3_struct_0 @ SV342 )
          | ~ ( v10_lattices @ SV342 )
          | ~ ( v17_lattices @ SV342 )
          | ( v3_realset2 @ SV342 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV342 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV342 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9454]) ).

thf(9613,plain,
    ! [SV343: $i] :
      ( ( ( ( v3_struct_0 @ SV343 )
          | ~ ( v10_lattices @ SV343 )
          | ~ ( v17_lattices @ SV343 )
          | ( v3_realset2 @ SV343 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV343 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV343 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9455]) ).

thf(9614,plain,
    ! [SV287: $i] :
      ( ( ( v3_struct_0 @ SV287 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV287 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV287 ) )
        = $true )
      | ( ( v3_realset2 @ SV287 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV287 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k11_lopclset @ SV287 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9456]) ).

thf(9615,plain,
    ( ( v1_funct_1 @ sK39_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9457]) ).

thf(9616,plain,
    ( ( v1_relat_1 @ sK39_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9458]) ).

thf(9617,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ~ ( v3_struct_0 @ SX0 ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( l3_lattices @ SX0 )
                      | ( v3_struct_0 @ SX0 )
                      | ~ ( v17_lattices @ SX0 )
                      | ( v11_lattices @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v13_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9459]) ).

thf(9618,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v14_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9460]) ).

thf(9619,plain,
    ! [SV344: $i] :
      ( ( ( l3_lattices @ SV344 )
        = $false )
      | ( ( ( v3_struct_0 @ SV344 )
          | ~ ( v17_lattices @ SV344 )
          | ( v15_lattices @ SV344 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9461]) ).

thf(9620,plain,
    ! [SV288: $i] :
      ( ( ( v17_lattices @ SV288 )
        = $false )
      | ( ( v3_struct_0 @ SV288 )
        = $true )
      | ( ( v16_lattices @ SV288 )
        = $true )
      | ( ( l3_lattices @ SV288 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9462]) ).

thf(9621,plain,
    ! [SV289: $i] :
      ( ( ( l3_lattices @ SV289 )
        = $false )
      | ( ( v3_struct_0 @ SV289 )
        = $true )
      | ( ( v10_lattices @ SV289 )
        = $false )
      | ( ( ~ ( v13_lattices @ SV289 )
          | ( v14_lattices @ ( k1_lattice2 @ SV289 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9463]) ).

thf(9622,plain,
    ! [SV290: $i] :
      ( ( ( l3_lattices @ SV290 )
        = $false )
      | ( ( v3_struct_0 @ SV290 )
        = $true )
      | ( ( v10_lattices @ SV290 )
        = $false )
      | ( ( ~ ( v14_lattices @ ( k1_lattice2 @ SV290 ) )
          | ( v13_lattices @ SV290 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9464]) ).

thf(9623,plain,
    ! [SV291: $i] :
      ( ( ( ~ ( m1_subset_1 @ ( sK11_B @ SV291 ) @ ( u1_struct_0 @ SV291 ) ) )
        = $false )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9465]) ).

thf(9624,plain,
    ! [SV291: $i] :
      ( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
                | ~ ( ( ( sK11_B @ SV291 )
                     != ( sK12_SY394 @ SV291 ) ) ) ) )
        = $false )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9465]) ).

thf(9625,plain,
    ! [SV292: $i,SV361: $i] :
      ( ( ( ~ ( m1_subset_1 @ SV361 @ ( u1_struct_0 @ SV292 ) )
          | ! [SY588: $i] :
              ( ~ ( m1_subset_1 @ SY588 @ ( u1_struct_0 @ SV292 ) )
              | ( SV361 = SY588 ) ) )
        = $true )
      | ( ( v3_realset2 @ SV292 )
        = $false )
      | ( ( l1_struct_0 @ SV292 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9466]) ).

thf(9626,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                      ( ( v3_struct_0 @ SY535 )
                                      | ~ ( v10_lattices @ SY535 )
                                      | ~ ( l3_lattices @ SY535 )
                                      | ( v3_struct_0 @ SV170 )
                                      | ~ ( v10_lattices @ SV170 )
                                      | ~ ( v15_lattices @ SV170 )
                                      | ~ ( v16_lattices @ SV170 )
                                      | ~ ( l3_lattices @ SV170 )
                                      | ( v3_struct_0 @ SY535 )
                                      | ~ ( v10_lattices @ SY535 )
                                      | ~ ( v15_lattices @ SY535 )
                                      | ~ ( v16_lattices @ SY535 )
                                      | ~ ( l3_lattices @ SY535 )
                                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                                | ~ ! [SY536: $i] :
                                      ( ( v3_struct_0 @ SY536 )
                                      | ~ ( v10_lattices @ SY536 )
                                      | ~ ( l3_lattices @ SY536 )
                                      | ( v3_struct_0 @ SV170 )
                                      | ~ ( v10_lattices @ SV170 )
                                      | ~ ( v15_lattices @ SV170 )
                                      | ~ ( v16_lattices @ SV170 )
                                      | ~ ( l3_lattices @ SV170 )
                                      | ( v3_struct_0 @ SY536 )
                                      | ~ ( v10_lattices @ SY536 )
                                      | ~ ( v15_lattices @ SY536 )
                                      | ~ ( v16_lattices @ SY536 )
                                      | ~ ( l3_lattices @ SY536 )
                                      | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                          | ~ ! [SY537: $i] :
                                ( ( v3_struct_0 @ SY537 )
                                | ~ ( v10_lattices @ SY537 )
                                | ~ ( l3_lattices @ SY537 )
                                | ( v3_struct_0 @ SV170 )
                                | ~ ( v10_lattices @ SV170 )
                                | ~ ( v15_lattices @ SV170 )
                                | ~ ( v16_lattices @ SV170 )
                                | ~ ( l3_lattices @ SV170 )
                                | ( v3_struct_0 @ SY537 )
                                | ~ ( v10_lattices @ SY537 )
                                | ~ ( v15_lattices @ SY537 )
                                | ~ ( v16_lattices @ SY537 )
                                | ~ ( l3_lattices @ SY537 )
                                | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                    | ~ ! [SY538: $i] :
                          ( ( v3_struct_0 @ SY538 )
                          | ~ ( v10_lattices @ SY538 )
                          | ~ ( l3_lattices @ SY538 )
                          | ( v3_struct_0 @ SV170 )
                          | ~ ( v10_lattices @ SV170 )
                          | ~ ( v15_lattices @ SV170 )
                          | ~ ( v16_lattices @ SV170 )
                          | ~ ( l3_lattices @ SV170 )
                          | ( v3_struct_0 @ SY538 )
                          | ~ ( v10_lattices @ SY538 )
                          | ~ ( v15_lattices @ SY538 )
                          | ~ ( v16_lattices @ SY538 )
                          | ~ ( l3_lattices @ SY538 )
                          | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
              | ~ ! [SY539: $i] :
                    ( ( v3_struct_0 @ SY539 )
                    | ~ ( v10_lattices @ SY539 )
                    | ~ ( l3_lattices @ SY539 )
                    | ( v3_struct_0 @ SV170 )
                    | ~ ( v10_lattices @ SV170 )
                    | ~ ( v15_lattices @ SV170 )
                    | ~ ( v16_lattices @ SV170 )
                    | ~ ( l3_lattices @ SV170 )
                    | ( v3_struct_0 @ SY539 )
                    | ~ ( v10_lattices @ SY539 )
                    | ~ ( v15_lattices @ SY539 )
                    | ~ ( v16_lattices @ SY539 )
                    | ~ ( l3_lattices @ SY539 )
                    | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9467]) ).

thf(9627,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                    ( ( v3_struct_0 @ SY540 )
                                                                    | ~ ( v10_lattices @ SY540 )
                                                                    | ~ ( l3_lattices @ SY540 )
                                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                    | ~ ( v3_struct_0 @ SV170 ) )
                                                              | ~ ! [SY541: $i] :
                                                                    ( ( v3_struct_0 @ SY541 )
                                                                    | ~ ( v10_lattices @ SY541 )
                                                                    | ~ ( l3_lattices @ SY541 )
                                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                    | ( v10_lattices @ SV170 ) ) )
                                                        | ~ ! [SY542: $i] :
                                                              ( ( v3_struct_0 @ SY542 )
                                                              | ~ ( v10_lattices @ SY542 )
                                                              | ~ ( l3_lattices @ SY542 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                              | ( v15_lattices @ SV170 ) ) )
                                                  | ~ ! [SY543: $i] :
                                                        ( ( v3_struct_0 @ SY543 )
                                                        | ~ ( v10_lattices @ SY543 )
                                                        | ~ ( l3_lattices @ SY543 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                        | ( v16_lattices @ SV170 ) ) )
                                            | ~ ! [SY544: $i] :
                                                  ( ( v3_struct_0 @ SY544 )
                                                  | ~ ( v10_lattices @ SY544 )
                                                  | ~ ( l3_lattices @ SY544 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                                  | ( l3_lattices @ SV170 ) ) )
                                      | ~ ! [SY545: $i] :
                                            ( ( v3_struct_0 @ SY545 )
                                            | ~ ( v10_lattices @ SY545 )
                                            | ~ ( l3_lattices @ SY545 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                            | ~ ( v3_struct_0 @ SY545 ) ) )
                                | ~ ! [SY546: $i] :
                                      ( ( v3_struct_0 @ SY546 )
                                      | ~ ( v10_lattices @ SY546 )
                                      | ~ ( l3_lattices @ SY546 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                      | ( v10_lattices @ SY546 ) ) )
                          | ~ ! [SY547: $i] :
                                ( ( v3_struct_0 @ SY547 )
                                | ~ ( v10_lattices @ SY547 )
                                | ~ ( l3_lattices @ SY547 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                                | ( v15_lattices @ SY547 ) ) )
                    | ~ ! [SY548: $i] :
                          ( ( v3_struct_0 @ SY548 )
                          | ~ ( v10_lattices @ SY548 )
                          | ~ ( l3_lattices @ SY548 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                          | ( v16_lattices @ SY548 ) ) )
              | ~ ! [SY549: $i] :
                    ( ( v3_struct_0 @ SY549 )
                    | ~ ( v10_lattices @ SY549 )
                    | ~ ( l3_lattices @ SY549 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                    | ( l3_lattices @ SY549 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9468]) ).

thf(9628,plain,
    ! [SV293: $i] :
      ( ( ( ~ ( v15_lattices @ SV293 )
          | ~ ( v16_lattices @ SV293 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV293 ) )
        = $true )
      | ( ( v17_lattices @ SV293 )
        = $true )
      | ( ( v3_struct_0 @ SV293 )
        = $true )
      | ( ( l3_lattices @ SV293 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9469]) ).

thf(9629,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v15_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9470]) ).

thf(9630,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v16_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9471]) ).

thf(9631,plain,
    ! [SV345: $i] :
      ( ( ( v3_struct_0 @ SV345 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV345 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV345 )
          | ( v11_lattices @ SV345 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9472]) ).

thf(9632,plain,
    ! [SV362: $i,SV294: $i] :
      ( ( ( ( ( u1_struct_0 @ SV294 )
           != ( k1_tarski @ SV362 ) ) )
        = $true )
      | ( ( v3_realset2 @ SV294 )
        = $true )
      | ( ( v3_struct_0 @ SV294 )
        = $true )
      | ( ( l1_struct_0 @ SV294 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9473]) ).

thf(9633,plain,
    ! [SV295: $i] :
      ( ( ( v3_realset2 @ SV295 )
        = $false )
      | ( ( ( u1_struct_0 @ SV295 )
          = ( k1_tarski @ ( sK2_B @ SV295 ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV295 )
        = $true )
      | ( ( l1_struct_0 @ SV295 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9474]) ).

thf(9634,plain,
    ! [SV356: $i,SV346: $i] :
      ( ( ( ( v3_struct_0 @ SV346 )
          | ~ ( v10_lattices @ SV346 )
          | ~ ( l3_lattices @ SV346 )
          | ~ ( m1_filter_0 @ SV356 @ SV346 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_0 @ SV346 @ SV356 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9475]) ).

thf(9635,plain,
    ! [SV357: $i,SV347: $i] :
      ( ( ( ( v3_struct_0 @ SV347 )
          | ~ ( v10_lattices @ SV347 )
          | ~ ( l3_lattices @ SV347 )
          | ~ ( m1_filter_0 @ SV357 @ SV347 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_0 @ SV347 @ SV357 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9476]) ).

thf(9636,plain,
    ! [SV309: $i,SV296: $i] :
      ( ( ( v3_struct_0 @ SV296 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV296 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV296 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV309 @ SV296 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_0 @ SV296 @ SV309 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9477]) ).

thf(9637,plain,
    ! [SV171: $i] :
      ( ( ( m2_lattice4 @ ( sK53_B @ SV171 ) @ SV171 )
        = $true )
      | ( ( v10_lattices @ SV171 )
        = $false )
      | ( ( v3_struct_0 @ SV171 )
        = $true )
      | ( ( l3_lattices @ SV171 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9478]) ).

thf(9638,plain,
    ! [SV171: $i] :
      ( ( ( ~ ( v1_xboole_0 @ ( sK53_B @ SV171 ) ) )
        = $true )
      | ( ( v10_lattices @ SV171 )
        = $false )
      | ( ( v3_struct_0 @ SV171 )
        = $true )
      | ( ( l3_lattices @ SV171 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9479]) ).

thf(9639,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v11_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( v11_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9480]) ).

thf(9640,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v11_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v11_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9481]) ).

thf(9641,plain,
    ! [SV348: $i] :
      ( ( ( ( v3_struct_0 @ SV348 )
          | ~ ( v10_lattices @ SV348 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV348 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV348 )
          | ~ ( v10_lattices @ SV348 )
          | ~ ( v11_lattices @ SV348 )
          | ~ ( l3_lattices @ SV348 )
          | ( l3_lattices @ ( k1_lattice2 @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9482]) ).

thf(9642,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                | ~ ( v3_struct_0 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( v3_struct_0 @ SX0 )
                | ~ ( v10_lattices @ SX0 )
                | ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
                | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
                | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
                | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
                | ( v10_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9483]) ).

thf(9643,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
          | ( v11_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9484]) ).

thf(9644,plain,
    ! [SV349: $i] :
      ( ( ( ( v3_struct_0 @ SV349 )
          | ~ ( v10_lattices @ SV349 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV349 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) )
          | ( l3_lattices @ SV349 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9485]) ).

thf(9645,plain,
    ! [SV210: $i,SV172: $i,SV22: $i] :
      ( ( ( v10_lattices @ SV22 )
        = $false )
      | ( ( v3_struct_0 @ SV22 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV172 @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV210 @ SV22 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9487]) ).

thf(9646,plain,
    ! [SV24: $i,SV312: $i] :
      ( ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV312 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV312 ) )
        = $true )
      | ( ( ! [SY577: $i] :
              ( ( v3_struct_0 @ SY577 )
              | ~ ( v10_lattices @ SY577 )
              | ~ ( l3_lattices @ SY577 )
              | ~ ( r1_filter_1 @ SV24 @ SV312 )
              | ~ ( r1_filter_1 @ SV312 @ SY577 )
              | ( r1_filter_1 @ SV24 @ SY577 ) ) )
        = $true )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9488]) ).

thf(9647,plain,
    ! [SV25: $i,SV313: $i] :
      ( ( ( v3_struct_0 @ SV313 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV313 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV313 ) )
        = $true )
      | ( ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SV313 ) )
          = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SV313 ) ) )
        = $true )
      | ( ( v10_lattices @ SV25 )
        = $false )
      | ( ( v3_struct_0 @ SV25 )
        = $true )
      | ( ( l3_lattices @ SV25 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9489]) ).

thf(9648,plain,
    ! [SV26: $i,SV314: $i] :
      ( ( ( v3_struct_0 @ SV314 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV314 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV314 ) )
        = $true )
      | ( ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SV314 ) @ ( k8_filter_1 @ SV314 @ SV26 ) )
        = $true )
      | ( ( v10_lattices @ SV26 )
        = $false )
      | ( ( v3_struct_0 @ SV26 )
        = $true )
      | ( ( l3_lattices @ SV26 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9490]) ).

thf(9649,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( l3_lattices @ SV27 )
        = $false )
      | ( ( v3_struct_0 @ SV27 )
        = $true )
      | ( ( v10_lattices @ SV27 )
        = $false )
      | ( ( v3_struct_0 @ SV173 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV27 @ SV173 )
          | ( r1_filter_1 @ SV173 @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9491]) ).

thf(9650,plain,
    ! [SV211: $i,SV28: $i] :
      ( ( ( l3_lattices @ SV28 )
        = $false )
      | ( ( v3_struct_0 @ SV28 )
        = $true )
      | ( ( v10_lattices @ SV28 )
        = $false )
      | ( ( v3_struct_0 @ SV211 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV211 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV211 ) )
        = $true )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9492]) ).

thf(9651,plain,
    ! [SV212: $i,SV174: $i,SV29: $i] :
      ( ( ( l3_lattices @ SV29 )
        = $false )
      | ( ( v3_struct_0 @ SV29 )
        = $true )
      | ( ( v10_lattices @ SV29 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV174 @ SV29 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV212 @ SV29 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SV212 ) @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9493]) ).

thf(9652,plain,
    ! [SV213: $i,SV175: $i,SV30: $i] :
      ( ( ( l3_lattices @ SV30 )
        = $false )
      | ( ( v3_struct_0 @ SV30 )
        = $true )
      | ( ( v10_lattices @ SV30 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV175 @ SV30 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV213 @ SV30 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV30 @ SV175 @ SV213 )
          = ( k1_filter_1 @ SV30 @ SV213 @ SV175 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9494]) ).

thf(9653,plain,
    ! [SV31: $i,SV176: $i] :
      ( ( ( m1_filter_0 @ SV176 @ SV31 )
        = $false )
      | ( ( v10_lattices @ SV31 )
        = $false )
      | ( ( v3_struct_0 @ SV31 )
        = $true )
      | ( ( l3_lattices @ SV31 )
        = $false )
      | ( ( ! [SY411: $i] :
              ~ ( m1_filter_0 @ SY411 @ SV31 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9495]) ).

thf(9654,plain,
    ! [SV40: $i,SV358: $i] :
      ( ( ( ~ ( m3_lattice4 @ SV358 @ SV40 ) )
        = $true )
      | ( ( m2_lattice4 @ SV358 @ SV40 )
        = $true )
      | ( ( v17_lattices @ SV40 )
        = $false )
      | ( ( v3_struct_0 @ SV40 )
        = $true )
      | ( ( v10_lattices @ SV40 )
        = $false )
      | ( ( l3_lattices @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9497]) ).

thf(9655,plain,
    ! [SV177: $i,SV41: $i] :
      ( ( ( l3_lattices @ SV41 )
        = $false )
      | ( ( v3_struct_0 @ SV41 )
        = $true )
      | ( ( v10_lattices @ SV41 )
        = $false )
      | ( ( v3_struct_0 @ SV177 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV177 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV177 ) )
        = $true )
      | ( ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9498]) ).

thf(9656,plain,
    ! [SV51: $i] :
      ( ( ( v1_xboole_0 @ ( k7_lopclset @ SV51 ) )
        = $false )
      | ( ( v17_lattices @ SV51 )
        = $false )
      | ( ( v3_struct_0 @ SV51 )
        = $true )
      | ( ( v10_lattices @ SV51 )
        = $false )
      | ( ( v3_realset2 @ SV51 )
        = $true )
      | ( ( l3_lattices @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9502]) ).

thf(9657,plain,
    ! [SV52: $i] :
      ( ( ( v1_xboole_0 @ ( k10_lopclset @ SV52 ) )
        = $false )
      | ( ( v17_lattices @ SV52 )
        = $false )
      | ( ( v3_struct_0 @ SV52 )
        = $true )
      | ( ( v10_lattices @ SV52 )
        = $false )
      | ( ( v3_realset2 @ SV52 )
        = $true )
      | ( ( l3_lattices @ SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9503]) ).

thf(9658,plain,
    ! [SV122: $i,SV359: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV359 @ SV122 ) )
        = $true )
      | ( ( ! [SY587: $i] :
              ( ~ ( m1_filter_0 @ SY587 @ SV122 )
              | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SV359 @ SY587 ) )
                = ( k7_filter_0 @ SV122 @ SV359 @ SY587 ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV122 )
        = $false )
      | ( ( v3_struct_0 @ SV122 )
        = $true )
      | ( ( v10_lattices @ SV122 )
        = $false )
      | ( ( l3_lattices @ SV122 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9509]) ).

thf(9659,plain,
    ! [SV317: $i,SV124: $i] :
      ( ( ( ~ ( v14_lattices @ SV124 ) )
        = $true )
      | ( ( v14_lattices @ ( k8_filter_0 @ SV124 @ SV317 ) )
        = $true )
      | ( ( m1_filter_0 @ SV317 @ SV124 )
        = $false )
      | ( ( v10_lattices @ SV124 )
        = $false )
      | ( ( v3_struct_0 @ SV124 )
        = $true )
      | ( ( l3_lattices @ SV124 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9510]) ).

thf(9660,plain,
    ! [SV318: $i,SV125: $i] :
      ( ( ( ~ ( v12_lattices @ SV125 ) )
        = $true )
      | ( ( v12_lattices @ ( k8_filter_0 @ SV125 @ SV318 ) )
        = $true )
      | ( ( m1_filter_0 @ SV318 @ SV125 )
        = $false )
      | ( ( v10_lattices @ SV125 )
        = $false )
      | ( ( v3_struct_0 @ SV125 )
        = $true )
      | ( ( l3_lattices @ SV125 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9511]) ).

thf(9661,plain,
    ! [SV319: $i,SV126: $i] :
      ( ( ( ~ ( v11_lattices @ SV126 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_0 @ SV126 @ SV319 ) )
        = $true )
      | ( ( m1_filter_0 @ SV319 @ SV126 )
        = $false )
      | ( ( v10_lattices @ SV126 )
        = $false )
      | ( ( v3_struct_0 @ SV126 )
        = $true )
      | ( ( l3_lattices @ SV126 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9512]) ).

thf(9662,plain,
    ! [SV320: $i,SV127: $i] :
      ( ( ( ( v3_struct_0 @ SV127 )
          | ~ ( v10_lattices @ SV127 )
          | ~ ( v3_filter_0 @ SV127 )
          | ~ ( l3_lattices @ SV127 ) )
        = $true )
      | ( ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SV320 ) )
        = $true )
      | ( ( m1_filter_0 @ SV320 @ SV127 )
        = $false )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( l3_lattices @ SV127 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9513]) ).

thf(9663,plain,
    ! [SV219: $i,SV201: $i,SV128: $i] :
      ( ( ( v10_lattices @ SV128 )
        = $false )
      | ( ( v3_struct_0 @ SV128 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV201 @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV219 @ SV128 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9514]) ).

thf(9664,plain,
    ! [SV220: $i,SV202: $i,SV129: $i] :
      ( ( ( v10_lattices @ SV129 )
        = $false )
      | ( ( v3_struct_0 @ SV129 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV202 @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV220 @ SV129 ) )
        = $true )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9515]) ).

thf(9665,plain,
    ! [SV321: $i,SV131: $i,SV363: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV363 @ SV131 )
          | ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SV321 @ SV363 ) @ SV131 ) )
        = $true )
      | ( ( m1_filter_0 @ SV321 @ SV131 )
        = $false )
      | ( ( v10_lattices @ SV131 )
        = $false )
      | ( ( v3_struct_0 @ SV131 )
        = $true )
      | ( ( l3_lattices @ SV131 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9517]) ).

thf(9666,plain,
    ! [SV132: $i,SV360: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV360 @ SV132 ) )
        = $true )
      | ( ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SV360 ) )
        = $true )
      | ( ( v3_filter_0 @ SV132 )
        = $false )
      | ( ( v3_struct_0 @ SV132 )
        = $true )
      | ( ( v10_lattices @ SV132 )
        = $false )
      | ( ( l3_lattices @ SV132 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9518]) ).

thf(9667,plain,
    ! [SV221: $i,SV206: $i,SV135: $i] :
      ( ( ( l3_lattices @ SV135 )
        = $false )
      | ( ( v3_struct_0 @ SV135 )
        = $true )
      | ( ( v10_lattices @ SV135 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV206 @ SV135 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV221 @ SV135 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV135 @ SV206 @ SV221 )
          = ( k3_xboole_0 @ SV206 @ SV221 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9519]) ).

thf(9668,plain,
    ! [SV140: $i,SV322: $i] :
      ( ( ( ( v3_struct_0 @ SV322 )
          | ~ ( v10_lattices @ SV322 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV322 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV322 ) )
        = $true )
      | ( ( ! [SY579: $i] :
              ( ~ ( m1_lattice4 @ SY579 @ SV322 @ SV140 )
              | ~ ( v2_lattice4 @ SY579 @ SV322 @ SV140 )
              | ( v11_lattices @ SV140 ) ) )
        = $true )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9520]) ).

thf(9669,plain,
    ! [SV151: $i,SV364: $i] :
      ( ( ( ( v3_struct_0 @ SV364 )
          | ~ ( v10_lattices @ SV364 )
          | ~ ( l3_lattices @ SV364 )
          | ~ ( v12_lattices @ SV151 )
          | ~ ( v12_lattices @ SV364 )
          | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV364 ) ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9528]) ).

thf(9670,plain,
    ! [SV151: $i] :
      ( ( ( ~ ! [SY476: $i] :
                ( ( v3_struct_0 @ SY476 )
                | ~ ( v10_lattices @ SY476 )
                | ~ ( l3_lattices @ SY476 )
                | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                | ( v12_lattices @ SV151 ) )
          | ~ ! [SY477: $i] :
                ( ( v3_struct_0 @ SY477 )
                | ~ ( v10_lattices @ SY477 )
                | ~ ( l3_lattices @ SY477 )
                | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                | ( v12_lattices @ SY477 ) ) )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9529]) ).

thf(9671,plain,
    ! [SV152: $i,SV365: $i] :
      ( ( ( ( v3_struct_0 @ SV365 )
          | ~ ( v10_lattices @ SV365 )
          | ~ ( l3_lattices @ SV365 )
          | ~ ( r1_filter_1 @ SV152 @ SV365 )
          | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV365 ) ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9530]) ).

thf(9672,plain,
    ! [SV152: $i,SV366: $i] :
      ( ( ( ( v3_struct_0 @ SV366 )
          | ~ ( v10_lattices @ SV366 )
          | ~ ( l3_lattices @ SV366 )
          | ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV366 ) )
          | ( r1_filter_1 @ SV152 @ SV366 ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9531]) ).

thf(9673,plain,
    ! [SV153: $i,SV367: $i] :
      ( ( ( ~ ( m1_borsuk_1 @ SV367 @ SV153 )
          | ~ ( v1_xboole_0 @ SV367 ) )
        = $true )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9532]) ).

thf(9674,plain,
    ! [SV153: $i,SV368: $i] :
      ( ( ( ~ ( m1_borsuk_1 @ SV368 @ SV153 )
          | ( m1_eqrel_1 @ SV368 @ ( u1_struct_0 @ SV153 ) ) )
        = $true )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9533]) ).

thf(9675,plain,
    ! [SV323: $i] :
      ( ( ( ( v3_struct_0 @ SV323 )
          | ~ ( v10_lattices @ SV323 )
          | ~ ( v17_lattices @ SV323 ) )
        = $true )
      | ( ( v3_realset2 @ SV323 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV323 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV323 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9534]) ).

thf(9676,plain,
    ! [SV324: $i] :
      ( ( ( ( v3_struct_0 @ SV324 )
          | ~ ( v10_lattices @ SV324 )
          | ~ ( v17_lattices @ SV324 ) )
        = $true )
      | ( ( v3_realset2 @ SV324 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV324 ) )
        = $true )
      | ( ( v10_lattices @ ( k12_lopclset @ SV324 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9535]) ).

thf(9677,plain,
    ! [SV231: $i] :
      ( ( ( v10_lattices @ SV231 )
        = $false )
      | ( ( v3_struct_0 @ SV231 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV231 ) )
        = $true )
      | ( ( v3_realset2 @ SV231 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV231 ) )
        = $true )
      | ( ( l3_lattices @ ( k12_lopclset @ SV231 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9536]) ).

thf(9678,plain,
    ! [SV350: $i,SV325: $i] :
      ( ( ( ( v3_struct_0 @ SV325 )
          | ~ ( v2_pre_topc @ SV325 )
          | ~ ( l1_pre_topc @ SV325 )
          | ( v3_struct_0 @ SV350 )
          | ~ ( v2_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9537]) ).

thf(9679,plain,
    ! [SV351: $i,SV326: $i] :
      ( ( ( ( v3_struct_0 @ SV326 )
          | ~ ( v2_pre_topc @ SV326 )
          | ~ ( l1_pre_topc @ SV326 )
          | ( v3_struct_0 @ SV351 )
          | ~ ( v2_pre_topc @ SV351 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV351 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9538]) ).

thf(9680,plain,
    ! [SV298: $i,SV234: $i] :
      ( ( ( ( v3_struct_0 @ SV234 )
          | ~ ( v2_pre_topc @ SV234 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV234 ) )
        = $true )
      | ( ( v3_struct_0 @ SV298 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV298 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV298 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9539]) ).

thf(9681,plain,
    ( ( v3_struct_0 @ sK70_A )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9541]) ).

thf(9682,plain,
    ! [SV155: $i] :
      ( ( ( ~ ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 ) )
        = $false )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( v2_pre_topc @ SV155 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9544]) ).

thf(9683,plain,
    ! [SV155: $i] :
      ( ( ( ~ ( v1_pre_topc @ ( sK67_B @ SV155 ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( v2_pre_topc @ SV155 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9544]) ).

thf(9684,plain,
    ! [SV156: $i,SV369: $i] :
      ( ( ( ( v3_struct_0 @ SV369 )
          | ~ ( v10_lattices @ SV369 )
          | ~ ( l3_lattices @ SV369 )
          | ! [SY589: $i] :
              ( ~ ( m1_lattice4 @ SY589 @ SV156 @ SV369 )
              | ~ ( v3_lattice4 @ SY589 @ SV156 @ SV369 ) )
          | ( r1_filter_1 @ SV156 @ SV369 ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9545]) ).

thf(9685,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( ( v3_struct_0 @ SV370 )
          | ~ ( v10_lattices @ SV370 )
          | ~ ( l3_lattices @ SV370 )
          | ~ ( r1_filter_1 @ SV156 @ SV370 )
          | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
              | ~ ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9546]) ).

thf(9686,plain,
    ! [SV327: $i] :
      ( ( ( ( v3_struct_0 @ SV327 )
          | ~ ( v15_lattices @ SV327 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV327 ) )
        = $true )
      | ( ( l3_lattices @ SV327 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9547]) ).

thf(9687,plain,
    ! [SV328: $i] :
      ( ( ( ( v3_struct_0 @ SV328 )
          | ~ ( v15_lattices @ SV328 ) )
        = $true )
      | ( ( v13_lattices @ SV328 )
        = $true )
      | ( ( l3_lattices @ SV328 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9548]) ).

thf(9688,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                            ( ( v3_struct_0 @ SY485 )
                            | ~ ( v10_lattices @ SY485 )
                            | ~ ( l3_lattices @ SY485 )
                            | ( v3_struct_0 @ SV157 )
                            | ~ ( v10_lattices @ SV157 )
                            | ~ ( v17_lattices @ SV157 )
                            | ~ ( l3_lattices @ SV157 )
                            | ( v3_struct_0 @ SY485 )
                            | ~ ( v10_lattices @ SY485 )
                            | ~ ( v17_lattices @ SY485 )
                            | ~ ( l3_lattices @ SY485 )
                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                      | ~ ! [SY486: $i] :
                            ( ( v3_struct_0 @ SY486 )
                            | ~ ( v10_lattices @ SY486 )
                            | ~ ( l3_lattices @ SY486 )
                            | ( v3_struct_0 @ SV157 )
                            | ~ ( v10_lattices @ SV157 )
                            | ~ ( v17_lattices @ SV157 )
                            | ~ ( l3_lattices @ SV157 )
                            | ( v3_struct_0 @ SY486 )
                            | ~ ( v10_lattices @ SY486 )
                            | ~ ( v17_lattices @ SY486 )
                            | ~ ( l3_lattices @ SY486 )
                            | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                | ~ ! [SY487: $i] :
                      ( ( v3_struct_0 @ SY487 )
                      | ~ ( v10_lattices @ SY487 )
                      | ~ ( l3_lattices @ SY487 )
                      | ( v3_struct_0 @ SV157 )
                      | ~ ( v10_lattices @ SV157 )
                      | ~ ( v17_lattices @ SV157 )
                      | ~ ( l3_lattices @ SV157 )
                      | ( v3_struct_0 @ SY487 )
                      | ~ ( v10_lattices @ SY487 )
                      | ~ ( v17_lattices @ SY487 )
                      | ~ ( l3_lattices @ SY487 )
                      | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
          | ~ ! [SY488: $i] :
                ( ( v3_struct_0 @ SY488 )
                | ~ ( v10_lattices @ SY488 )
                | ~ ( l3_lattices @ SY488 )
                | ( v3_struct_0 @ SV157 )
                | ~ ( v10_lattices @ SV157 )
                | ~ ( v17_lattices @ SV157 )
                | ~ ( l3_lattices @ SV157 )
                | ( v3_struct_0 @ SY488 )
                | ~ ( v10_lattices @ SY488 )
                | ~ ( v17_lattices @ SY488 )
                | ~ ( l3_lattices @ SY488 )
                | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9550]) ).

thf(9689,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                    ( ( v3_struct_0 @ SY489 )
                                                    | ~ ( v10_lattices @ SY489 )
                                                    | ~ ( l3_lattices @ SY489 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                    | ~ ( v3_struct_0 @ SV157 ) )
                                              | ~ ! [SY490: $i] :
                                                    ( ( v3_struct_0 @ SY490 )
                                                    | ~ ( v10_lattices @ SY490 )
                                                    | ~ ( l3_lattices @ SY490 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                    | ( v10_lattices @ SV157 ) ) )
                                        | ~ ! [SY491: $i] :
                                              ( ( v3_struct_0 @ SY491 )
                                              | ~ ( v10_lattices @ SY491 )
                                              | ~ ( l3_lattices @ SY491 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                              | ( v17_lattices @ SV157 ) ) )
                                  | ~ ! [SY492: $i] :
                                        ( ( v3_struct_0 @ SY492 )
                                        | ~ ( v10_lattices @ SY492 )
                                        | ~ ( l3_lattices @ SY492 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                        | ( l3_lattices @ SV157 ) ) )
                            | ~ ! [SY493: $i] :
                                  ( ( v3_struct_0 @ SY493 )
                                  | ~ ( v10_lattices @ SY493 )
                                  | ~ ( l3_lattices @ SY493 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                  | ~ ( v3_struct_0 @ SY493 ) ) )
                      | ~ ! [SY494: $i] :
                            ( ( v3_struct_0 @ SY494 )
                            | ~ ( v10_lattices @ SY494 )
                            | ~ ( l3_lattices @ SY494 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                            | ( v10_lattices @ SY494 ) ) )
                | ~ ! [SY495: $i] :
                      ( ( v3_struct_0 @ SY495 )
                      | ~ ( v10_lattices @ SY495 )
                      | ~ ( l3_lattices @ SY495 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                      | ( v17_lattices @ SY495 ) ) )
          | ~ ! [SY496: $i] :
                ( ( v3_struct_0 @ SY496 )
                | ~ ( v10_lattices @ SY496 )
                | ~ ( l3_lattices @ SY496 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                | ( l3_lattices @ SY496 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9551]) ).

thf(9690,plain,
    ! [SV158: $i,SV371: $i] :
      ( ( ( ( v3_struct_0 @ SV371 )
          | ~ ( v10_lattices @ SV371 )
          | ~ ( l3_lattices @ SV371 )
          | ~ ( v3_filter_0 @ SV158 )
          | ~ ( v3_filter_0 @ SV371 )
          | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV371 ) ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9552]) ).

thf(9691,plain,
    ! [SV158: $i] :
      ( ( ( ~ ! [SY498: $i] :
                ( ( v3_struct_0 @ SY498 )
                | ~ ( v10_lattices @ SY498 )
                | ~ ( l3_lattices @ SY498 )
                | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                | ( v3_filter_0 @ SV158 ) )
          | ~ ! [SY499: $i] :
                ( ( v3_struct_0 @ SY499 )
                | ~ ( v10_lattices @ SY499 )
                | ~ ( l3_lattices @ SY499 )
                | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                | ( v3_filter_0 @ SY499 ) ) )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9553]) ).

thf(9692,plain,
    ! [SV159: $i,SV209: $i] :
      ( ( ( m5_grcat_1 @ ( sK4_C @ SV209 @ SV159 ) @ SV159 @ SV209 )
        = $true )
      | ( ( l1_struct_0 @ SV159 )
        = $false )
      | ( ( v3_struct_0 @ SV209 )
        = $true )
      | ( ( l1_struct_0 @ SV209 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9554]) ).

thf(9693,plain,
    ! [SV159: $i,SV209: $i] :
      ( ( ( ~ ( v1_xboole_0 @ ( sK4_C @ SV209 @ SV159 ) ) )
        = $true )
      | ( ( l1_struct_0 @ SV159 )
        = $false )
      | ( ( v3_struct_0 @ SV209 )
        = $true )
      | ( ( l1_struct_0 @ SV209 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9555]) ).

thf(9694,plain,
    ! [SV301: $i,SV244: $i] :
      ( ( ( l3_lattices @ SV244 )
        = $false )
      | ( ( v3_struct_0 @ SV244 )
        = $true )
      | ( ( v3_struct_0 @ SV301 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV301 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV244 @ SV301 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9556]) ).

thf(9695,plain,
    ! [SV302: $i,SV245: $i] :
      ( ( ( l3_lattices @ SV245 )
        = $false )
      | ( ( v3_struct_0 @ SV245 )
        = $true )
      | ( ( v3_struct_0 @ SV302 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV302 ) )
        = $true )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV245 @ SV302 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9557]) ).

thf(9696,plain,
    ! [SV160: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                                ( ( v3_struct_0 @ SY501 )
                                | ~ ( l3_lattices @ SY501 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                                | ~ ( v3_struct_0 @ SV160 ) )
                          | ~ ! [SY502: $i] :
                                ( ( v3_struct_0 @ SY502 )
                                | ~ ( l3_lattices @ SY502 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                                | ( v10_lattices @ SV160 ) ) )
                    | ~ ! [SY503: $i] :
                          ( ( v3_struct_0 @ SY503 )
                          | ~ ( l3_lattices @ SY503 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                          | ( l3_lattices @ SV160 ) ) )
              | ~ ! [SY504: $i] :
                    ( ( v3_struct_0 @ SY504 )
                    | ~ ( l3_lattices @ SY504 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                    | ~ ( v3_struct_0 @ SY504 ) ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9558]) ).

thf(9697,plain,
    ! [SV160: $i] :
      ( ( ( ! [SY505: $i] :
              ( ( v3_struct_0 @ SY505 )
              | ~ ( l3_lattices @ SY505 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY505 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY505 ) )
              | ( v10_lattices @ SY505 ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9559]) ).

thf(9698,plain,
    ! [SV160: $i,SV352: $i] :
      ( ( ( v3_struct_0 @ SV352 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV352 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ( l3_lattices @ SV352 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9560]) ).

thf(9699,plain,
    ! [SV303: $i,SV248: $i] :
      ( ( ( l3_lattices @ SV248 )
        = $false )
      | ( ( v3_struct_0 @ SV248 )
        = $true )
      | ( ( v3_struct_0 @ SV303 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV303 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV248 @ SV303 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9561]) ).

thf(9700,plain,
    ! [SV304: $i,SV249: $i] :
      ( ( ( l3_lattices @ SV249 )
        = $false )
      | ( ( v3_struct_0 @ SV249 )
        = $true )
      | ( ( v3_struct_0 @ SV304 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV304 ) )
        = $true )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV249 @ SV304 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9562]) ).

thf(9701,plain,
    ! [SV161: $i] :
      ( ( ( ~ ! [SY507: $i] :
                ( ~ ( m1_filter_0 @ SY507 @ SV161 )
                | ( SY507
                  = ( k1_filter_0 @ SV161 ) )
                | ~ ( v2_filter_0 @ SY507 @ SV161 )
                | ( v1_filter_0 @ SY507 @ SV161 ) ) )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9563]) ).

thf(9702,plain,
    ! [SV161: $i] :
      ( ( ( ~ ~ ( ~ ! [SY508: $i] :
                      ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                      | ~ ( v1_filter_0 @ SY508 @ SV161 )
                      | ( SY508
                       != ( k1_filter_0 @ SV161 ) ) )
                | ~ ! [SY509: $i] :
                      ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                      | ~ ( v1_filter_0 @ SY509 @ SV161 )
                      | ( v2_filter_0 @ SY509 @ SV161 ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9563]) ).

thf(9703,plain,
    ! [SV254: $i] :
      ( ( ( v13_lattices @ SV254 )
        = $false )
      | ( ( v3_struct_0 @ SV254 )
        = $true )
      | ( ( ~ ( v14_lattices @ SV254 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV254 ) )
        = $true )
      | ( ( l3_lattices @ SV254 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9564]) ).

thf(9704,plain,
    ! [SV255: $i] :
      ( ( ( v13_lattices @ SV255 )
        = $false )
      | ( ( v3_struct_0 @ SV255 )
        = $true )
      | ( ( ~ ( v14_lattices @ SV255 ) )
        = $true )
      | ( ( v15_lattices @ SV255 )
        = $true )
      | ( ( l3_lattices @ SV255 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9565]) ).

thf(9705,plain,
    ! [SV256: $i] :
      ( ( ( ~ ( v13_lattices @ ( k1_lattice2 @ SV256 ) ) )
        = $true )
      | ( ( v14_lattices @ SV256 )
        = $true )
      | ( ( v10_lattices @ SV256 )
        = $false )
      | ( ( v3_struct_0 @ SV256 )
        = $true )
      | ( ( l3_lattices @ SV256 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9566]) ).

thf(9706,plain,
    ! [SV257: $i] :
      ( ( ( ~ ( v14_lattices @ SV257 ) )
        = $true )
      | ( ( v13_lattices @ ( k1_lattice2 @ SV257 ) )
        = $true )
      | ( ( v10_lattices @ SV257 )
        = $false )
      | ( ( v3_struct_0 @ SV257 )
        = $true )
      | ( ( l3_lattices @ SV257 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9567]) ).

thf(9707,plain,
    ! [SV258: $i] :
      ( ( ( v13_lattices @ SV258 )
        = $false )
      | ( ( ~ ( v14_lattices @ SV258 ) )
        = $true )
      | ( ( v15_lattices @ SV258 )
        = $true )
      | ( ( v3_struct_0 @ SV258 )
        = $true )
      | ( ( l3_lattices @ SV258 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9568]) ).

thf(9708,plain,
    ! [SV329: $i] :
      ( ( ( l3_lattices @ SV329 )
        = $false )
      | ( ( v3_struct_0 @ SV329 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV329 )
          | ( v13_lattices @ SV329 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9569]) ).

thf(9709,plain,
    ! [SV330: $i] :
      ( ( ( l3_lattices @ SV330 )
        = $false )
      | ( ( v3_struct_0 @ SV330 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV330 )
          | ( v14_lattices @ SV330 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9570]) ).

thf(9710,plain,
    ! [SV162: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY510: $i] :
                            ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                            | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                      | ~ ! [SY511: $i] :
                            ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                            | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
                | ~ ! [SY512: $i] :
                      ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                      | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9571]) ).

thf(9711,plain,
    ! [SV162: $i] :
      ( ( ( ~ ! [SY513: $i] :
                ( ~ ( m1_filter_0 @ SY513 @ SV162 )
                | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9571]) ).

thf(9712,plain,
    ! [SV163: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                      | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
          | ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9572]) ).

thf(9713,plain,
    ! [SV261: $i] :
      ( ( ( v10_lattices @ SV261 )
        = $false )
      | ( ( v3_struct_0 @ SV261 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV261 ) )
        = $true )
      | ( ( v3_realset2 @ SV261 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV261 ) )
        = $true )
      | ( ( v1_funct_1 @ ( k8_lopclset @ SV261 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9574]) ).

thf(9714,plain,
    ! [SV262: $i] :
      ( ( ( v10_lattices @ SV262 )
        = $false )
      | ( ( v3_struct_0 @ SV262 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV262 ) )
        = $true )
      | ( ( v3_realset2 @ SV262 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV262 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k8_lopclset @ SV262 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9575]) ).

thf(9715,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                            ( ( v3_struct_0 @ SY514 )
                            | ~ ( v10_lattices @ SY514 )
                            | ~ ( l3_lattices @ SY514 )
                            | ( v3_struct_0 @ SV164 )
                            | ~ ( v10_lattices @ SV164 )
                            | ~ ( v11_lattices @ SV164 )
                            | ~ ( l3_lattices @ SV164 )
                            | ( v3_struct_0 @ SY514 )
                            | ~ ( v10_lattices @ SY514 )
                            | ~ ( v11_lattices @ SY514 )
                            | ~ ( l3_lattices @ SY514 )
                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                      | ~ ! [SY515: $i] :
                            ( ( v3_struct_0 @ SY515 )
                            | ~ ( v10_lattices @ SY515 )
                            | ~ ( l3_lattices @ SY515 )
                            | ( v3_struct_0 @ SV164 )
                            | ~ ( v10_lattices @ SV164 )
                            | ~ ( v11_lattices @ SV164 )
                            | ~ ( l3_lattices @ SV164 )
                            | ( v3_struct_0 @ SY515 )
                            | ~ ( v10_lattices @ SY515 )
                            | ~ ( v11_lattices @ SY515 )
                            | ~ ( l3_lattices @ SY515 )
                            | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                | ~ ! [SY516: $i] :
                      ( ( v3_struct_0 @ SY516 )
                      | ~ ( v10_lattices @ SY516 )
                      | ~ ( l3_lattices @ SY516 )
                      | ( v3_struct_0 @ SV164 )
                      | ~ ( v10_lattices @ SV164 )
                      | ~ ( v11_lattices @ SV164 )
                      | ~ ( l3_lattices @ SV164 )
                      | ( v3_struct_0 @ SY516 )
                      | ~ ( v10_lattices @ SY516 )
                      | ~ ( v11_lattices @ SY516 )
                      | ~ ( l3_lattices @ SY516 )
                      | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
          | ~ ! [SY517: $i] :
                ( ( v3_struct_0 @ SY517 )
                | ~ ( v10_lattices @ SY517 )
                | ~ ( l3_lattices @ SY517 )
                | ( v3_struct_0 @ SV164 )
                | ~ ( v10_lattices @ SV164 )
                | ~ ( v11_lattices @ SV164 )
                | ~ ( l3_lattices @ SV164 )
                | ( v3_struct_0 @ SY517 )
                | ~ ( v10_lattices @ SY517 )
                | ~ ( v11_lattices @ SY517 )
                | ~ ( l3_lattices @ SY517 )
                | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9576]) ).

thf(9716,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                    ( ( v3_struct_0 @ SY518 )
                                                    | ~ ( v10_lattices @ SY518 )
                                                    | ~ ( l3_lattices @ SY518 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                    | ~ ( v3_struct_0 @ SV164 ) )
                                              | ~ ! [SY519: $i] :
                                                    ( ( v3_struct_0 @ SY519 )
                                                    | ~ ( v10_lattices @ SY519 )
                                                    | ~ ( l3_lattices @ SY519 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                    | ( v10_lattices @ SV164 ) ) )
                                        | ~ ! [SY520: $i] :
                                              ( ( v3_struct_0 @ SY520 )
                                              | ~ ( v10_lattices @ SY520 )
                                              | ~ ( l3_lattices @ SY520 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                              | ( v11_lattices @ SV164 ) ) )
                                  | ~ ! [SY521: $i] :
                                        ( ( v3_struct_0 @ SY521 )
                                        | ~ ( v10_lattices @ SY521 )
                                        | ~ ( l3_lattices @ SY521 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                        | ( l3_lattices @ SV164 ) ) )
                            | ~ ! [SY522: $i] :
                                  ( ( v3_struct_0 @ SY522 )
                                  | ~ ( v10_lattices @ SY522 )
                                  | ~ ( l3_lattices @ SY522 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                  | ~ ( v3_struct_0 @ SY522 ) ) )
                      | ~ ! [SY523: $i] :
                            ( ( v3_struct_0 @ SY523 )
                            | ~ ( v10_lattices @ SY523 )
                            | ~ ( l3_lattices @ SY523 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                            | ( v10_lattices @ SY523 ) ) )
                | ~ ! [SY524: $i] :
                      ( ( v3_struct_0 @ SY524 )
                      | ~ ( v10_lattices @ SY524 )
                      | ~ ( l3_lattices @ SY524 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                      | ( v11_lattices @ SY524 ) ) )
          | ~ ! [SY525: $i] :
                ( ( v3_struct_0 @ SY525 )
                | ~ ( v10_lattices @ SY525 )
                | ~ ( l3_lattices @ SY525 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                | ( l3_lattices @ SY525 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9577]) ).

thf(9717,plain,
    ! [SV165: $i,SV372: $i] :
      ( ( ( ( v3_struct_0 @ SV372 )
          | ~ ( v10_lattices @ SV372 )
          | ~ ( l3_lattices @ SV372 )
          | ~ ( v15_lattices @ SV165 )
          | ~ ( v15_lattices @ SV372 )
          | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV372 ) ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9578]) ).

thf(9718,plain,
    ! [SV165: $i] :
      ( ( ( ~ ! [SY527: $i] :
                ( ( v3_struct_0 @ SY527 )
                | ~ ( v10_lattices @ SY527 )
                | ~ ( l3_lattices @ SY527 )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                | ( v15_lattices @ SV165 ) )
          | ~ ! [SY528: $i] :
                ( ( v3_struct_0 @ SY528 )
                | ~ ( v10_lattices @ SY528 )
                | ~ ( l3_lattices @ SY528 )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                | ( v15_lattices @ SY528 ) ) )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9579]) ).

thf(9719,plain,
    ! [SV166: $i] :
      ( ( ( m1_pre_topc @ ( sK68_B @ SV166 ) @ SV166 )
        = $true )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9580]) ).

thf(9720,plain,
    ! [SV166: $i] :
      ( ( ( ~ ( v3_struct_0 @ ( sK68_B @ SV166 ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9581]) ).

thf(9721,plain,
    ! [SV167: $i] :
      ( ( ( ~ ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
                | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9582]) ).

thf(9722,plain,
    ! [SV167: $i] :
      ( ( ( ~ ( v2_pre_topc @ ( sK8_B @ SV167 ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9582]) ).

thf(9723,plain,
    ! [SV269: $i] :
      ( ( ( ~ ( v13_lattices @ SV269 )
          | ~ ( v3_filter_0 @ SV269 ) )
        = $true )
      | ( ( v1_lattice2 @ SV269 )
        = $true )
      | ( ( v10_lattices @ SV269 )
        = $false )
      | ( ( v3_struct_0 @ SV269 )
        = $true )
      | ( ( l3_lattices @ SV269 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9583]) ).

thf(9724,plain,
    ! [SV331: $i] :
      ( ( ( v3_struct_0 @ SV331 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV331 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV331 ) )
        = $true )
      | ( ( ~ ( v1_lattice2 @ SV331 )
          | ( v13_lattices @ SV331 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9584]) ).

thf(9725,plain,
    ! [SV332: $i] :
      ( ( ( v3_struct_0 @ SV332 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV332 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV332 ) )
        = $true )
      | ( ( ~ ( v1_lattice2 @ SV332 )
          | ( v3_filter_0 @ SV332 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9585]) ).

thf(9726,plain,
    ! [SV272: $i] :
      ( ( ( ~ ( v6_group_1 @ SV272 ) )
        = $true )
      | ( ( v6_group_1 @ ( k1_lattice2 @ SV272 ) )
        = $true )
      | ( ( v10_lattices @ SV272 )
        = $false )
      | ( ( v3_struct_0 @ SV272 )
        = $true )
      | ( ( l3_lattices @ SV272 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9586]) ).

thf(9727,plain,
    ! [SV273: $i] :
      ( ( ( ~ ( v6_group_1 @ ( k1_lattice2 @ SV273 ) ) )
        = $true )
      | ( ( v6_group_1 @ SV273 )
        = $true )
      | ( ( v10_lattices @ SV273 )
        = $false )
      | ( ( v3_struct_0 @ SV273 )
        = $true )
      | ( ( l3_lattices @ SV273 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9587]) ).

thf(9728,plain,
    ! [SV168: $i,SV373: $i] :
      ( ( ( ( v3_struct_0 @ SV373 )
          | ~ ( v10_lattices @ SV373 )
          | ~ ( l3_lattices @ SV373 )
          | ~ ( v14_lattices @ SV168 )
          | ~ ( v14_lattices @ SV373 )
          | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV373 ) ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9588]) ).

thf(9729,plain,
    ! [SV168: $i] :
      ( ( ( ~ ! [SY530: $i] :
                ( ( v3_struct_0 @ SY530 )
                | ~ ( v10_lattices @ SY530 )
                | ~ ( l3_lattices @ SY530 )
                | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                | ( v14_lattices @ SV168 ) )
          | ~ ! [SY531: $i] :
                ( ( v3_struct_0 @ SY531 )
                | ~ ( v10_lattices @ SY531 )
                | ~ ( l3_lattices @ SY531 )
                | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                | ( v14_lattices @ SY531 ) ) )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9589]) ).

thf(9730,plain,
    ! [SV374: $i] :
      ( ( ! [SY590: $i] :
            ( ( v3_struct_0 @ SV374 )
            | ~ ( v10_lattices @ SV374 )
            | ~ ( l3_lattices @ SV374 )
            | ~ ( m1_filter_0 @ SY590 @ SV374 )
            | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV374 @ SY590 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9590]) ).

thf(9731,plain,
    ! [SV375: $i] :
      ( ( ! [SY591: $i] :
            ( ( v3_struct_0 @ SV375 )
            | ~ ( v10_lattices @ SV375 )
            | ~ ( l3_lattices @ SV375 )
            | ~ ( m1_filter_0 @ SY591 @ SV375 )
            | ( v3_lattices @ ( k5_filter_1 @ SV375 @ SY591 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9591]) ).

thf(9732,plain,
    ! [SV353: $i,SV333: $i] :
      ( ( ( ( v3_struct_0 @ SV333 )
          | ~ ( v10_lattices @ SV333 )
          | ~ ( l3_lattices @ SV333 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV353 @ SV333 ) )
        = $true )
      | ( ( v10_lattices @ ( k5_filter_1 @ SV333 @ SV353 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9592]) ).

thf(9733,plain,
    ! [SV305: $i,SV276: $i] :
      ( ( ( v10_lattices @ SV276 )
        = $false )
      | ( ( v3_struct_0 @ SV276 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV276 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV305 @ SV276 ) )
        = $true )
      | ( ( l3_lattices @ ( k5_filter_1 @ SV276 @ SV305 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9593]) ).

thf(9734,plain,
    ! [SV354: $i,SV334: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV334 )
          | ~ ( v2_pre_topc @ SV334 )
          | ~ ( v2_pre_topc @ SV354 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV354 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV334 @ SV354 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9594]) ).

thf(9735,plain,
    ! [SV355: $i,SV335: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV335 )
          | ~ ( v2_pre_topc @ SV335 )
          | ~ ( v2_pre_topc @ SV355 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV355 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV335 @ SV355 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9595]) ).

thf(9736,plain,
    ! [SV306: $i,SV279: $i] :
      ( ( ( l1_pre_topc @ SV279 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV279 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV306 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV306 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k6_borsuk_1 @ SV279 @ SV306 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9596]) ).

thf(9737,plain,
    ! [SV280: $i] :
      ( ( ( v3_struct_0 @ SV280 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV280 ) )
        = $true )
      | ( ( l3_lattices @ SV280 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9597]) ).

thf(9738,plain,
    ! [SV281: $i] :
      ( ( ( v3_struct_0 @ SV281 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV281 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV281 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV281 ) )
        = $true )
      | ( ( v17_lattices @ SV281 )
        = $true )
      | ( ( l3_lattices @ SV281 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9598]) ).

thf(9739,plain,
    ! [SV336: $i] :
      ( ( ( v3_struct_0 @ SV336 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV336 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV336 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_lopclset @ SV336 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9599]) ).

thf(9740,plain,
    ! [SV337: $i] :
      ( ( ( v3_struct_0 @ SV337 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV337 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV337 ) )
        = $true )
      | ( ( v10_lattices @ ( k6_lopclset @ SV337 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9600]) ).

thf(9741,plain,
    ! [SV338: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV338 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV338 ) )
        = $true )
      | ( ( ~ ( v1_funct_1 @ SV338 ) )
        = $true )
      | ( ( v1_funct_1 @ SV338 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9602]) ).

thf(9742,plain,
    ! [SV339: $i] :
      ( ( ( ~ ( v1_relat_1 @ SV339 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV339 ) )
        = $true )
      | ( ( ~ ( v1_funct_1 @ SV339 ) )
        = $true )
      | ( ( v1_relat_1 @ SV339 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9603]) ).

thf(9743,plain,
    ! [SV283: $i] :
      ( ( ( v1_funct_1 @ SV283 )
        = $false )
      | ( ( v1_relat_1 @ SV283 )
        = $false )
      | ( ( v1_xboole_0 @ SV283 )
        = $false )
      | ( ( v2_funct_1 @ SV283 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9604]) ).

thf(9744,plain,
    ! [SV340: $i] :
      ( ( ( ( v3_struct_0 @ SV340 )
          | ~ ( v10_lattices @ SV340 )
          | ~ ( v17_lattices @ SV340 ) )
        = $true )
      | ( ( v3_realset2 @ SV340 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV340 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9605]) ).

thf(9745,plain,
    ! [SV341: $i] :
      ( ( ( ( v3_struct_0 @ SV341 )
          | ~ ( v10_lattices @ SV341 )
          | ~ ( v17_lattices @ SV341 ) )
        = $true )
      | ( ( v3_realset2 @ SV341 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV341 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV341 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9606]) ).

thf(9746,plain,
    ! [SV284: $i] :
      ( ( ( v10_lattices @ SV284 )
        = $false )
      | ( ( v3_struct_0 @ SV284 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV284 ) )
        = $true )
      | ( ( v3_realset2 @ SV284 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV284 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV284 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9607]) ).

thf(9747,plain,
    ! [SV169: $i,SV376: $i] :
      ( ( ( ( v3_struct_0 @ SV376 )
          | ~ ( v10_lattices @ SV376 )
          | ~ ( l3_lattices @ SV376 )
          | ~ ( v13_lattices @ SV169 )
          | ~ ( v13_lattices @ SV376 )
          | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV376 ) ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9610]) ).

thf(9748,plain,
    ! [SV169: $i] :
      ( ( ( ~ ! [SY533: $i] :
                ( ( v3_struct_0 @ SY533 )
                | ~ ( v10_lattices @ SY533 )
                | ~ ( l3_lattices @ SY533 )
                | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                | ( v13_lattices @ SV169 ) )
          | ~ ! [SY534: $i] :
                ( ( v3_struct_0 @ SY534 )
                | ~ ( v10_lattices @ SY534 )
                | ~ ( l3_lattices @ SY534 )
                | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                | ( v13_lattices @ SY534 ) ) )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9611]) ).

thf(9749,plain,
    ! [SV342: $i] :
      ( ( ( ( v3_struct_0 @ SV342 )
          | ~ ( v10_lattices @ SV342 )
          | ~ ( v17_lattices @ SV342 ) )
        = $true )
      | ( ( v3_realset2 @ SV342 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV342 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV342 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9612]) ).

thf(9750,plain,
    ! [SV343: $i] :
      ( ( ( ( v3_struct_0 @ SV343 )
          | ~ ( v10_lattices @ SV343 )
          | ~ ( v17_lattices @ SV343 ) )
        = $true )
      | ( ( v3_realset2 @ SV343 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV343 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV343 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9613]) ).

thf(9751,plain,
    ! [SV287: $i] :
      ( ( ( v10_lattices @ SV287 )
        = $false )
      | ( ( v3_struct_0 @ SV287 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV287 ) )
        = $true )
      | ( ( v3_realset2 @ SV287 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV287 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k11_lopclset @ SV287 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9614]) ).

thf(9752,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ~ ( v3_struct_0 @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v11_lattices @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v13_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9617]) ).

thf(9753,plain,
    ! [SV377: $i] :
      ( ( ~ ( l3_lattices @ SV377 )
        | ( v3_struct_0 @ SV377 )
        | ~ ( v17_lattices @ SV377 )
        | ( v14_lattices @ SV377 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9618]) ).

thf(9754,plain,
    ! [SV344: $i] :
      ( ( ( ( v3_struct_0 @ SV344 )
          | ~ ( v17_lattices @ SV344 ) )
        = $true )
      | ( ( v15_lattices @ SV344 )
        = $true )
      | ( ( l3_lattices @ SV344 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9619]) ).

thf(9755,plain,
    ! [SV289: $i] :
      ( ( ( ~ ( v13_lattices @ SV289 ) )
        = $true )
      | ( ( v14_lattices @ ( k1_lattice2 @ SV289 ) )
        = $true )
      | ( ( v10_lattices @ SV289 )
        = $false )
      | ( ( v3_struct_0 @ SV289 )
        = $true )
      | ( ( l3_lattices @ SV289 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9621]) ).

thf(9756,plain,
    ! [SV290: $i] :
      ( ( ( ~ ( v14_lattices @ ( k1_lattice2 @ SV290 ) ) )
        = $true )
      | ( ( v13_lattices @ SV290 )
        = $true )
      | ( ( v10_lattices @ SV290 )
        = $false )
      | ( ( v3_struct_0 @ SV290 )
        = $true )
      | ( ( l3_lattices @ SV290 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9622]) ).

thf(9757,plain,
    ! [SV291: $i] :
      ( ( ( m1_subset_1 @ ( sK11_B @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
        = $true )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9623]) ).

thf(9758,plain,
    ! [SV291: $i] :
      ( ( ( ~ ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
              | ~ ( ( ( sK11_B @ SV291 )
                   != ( sK12_SY394 @ SV291 ) ) ) ) )
        = $true )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9624]) ).

thf(9759,plain,
    ! [SV292: $i,SV361: $i] :
      ( ( ( ~ ( m1_subset_1 @ SV361 @ ( u1_struct_0 @ SV292 ) ) )
        = $true )
      | ( ( ! [SY588: $i] :
              ( ~ ( m1_subset_1 @ SY588 @ ( u1_struct_0 @ SV292 ) )
              | ( SV361 = SY588 ) ) )
        = $true )
      | ( ( v3_realset2 @ SV292 )
        = $false )
      | ( ( l1_struct_0 @ SV292 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9625]) ).

thf(9760,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                  ( ( v3_struct_0 @ SY535 )
                                  | ~ ( v10_lattices @ SY535 )
                                  | ~ ( l3_lattices @ SY535 )
                                  | ( v3_struct_0 @ SV170 )
                                  | ~ ( v10_lattices @ SV170 )
                                  | ~ ( v15_lattices @ SV170 )
                                  | ~ ( v16_lattices @ SV170 )
                                  | ~ ( l3_lattices @ SV170 )
                                  | ( v3_struct_0 @ SY535 )
                                  | ~ ( v10_lattices @ SY535 )
                                  | ~ ( v15_lattices @ SY535 )
                                  | ~ ( v16_lattices @ SY535 )
                                  | ~ ( l3_lattices @ SY535 )
                                  | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                            | ~ ! [SY536: $i] :
                                  ( ( v3_struct_0 @ SY536 )
                                  | ~ ( v10_lattices @ SY536 )
                                  | ~ ( l3_lattices @ SY536 )
                                  | ( v3_struct_0 @ SV170 )
                                  | ~ ( v10_lattices @ SV170 )
                                  | ~ ( v15_lattices @ SV170 )
                                  | ~ ( v16_lattices @ SV170 )
                                  | ~ ( l3_lattices @ SV170 )
                                  | ( v3_struct_0 @ SY536 )
                                  | ~ ( v10_lattices @ SY536 )
                                  | ~ ( v15_lattices @ SY536 )
                                  | ~ ( v16_lattices @ SY536 )
                                  | ~ ( l3_lattices @ SY536 )
                                  | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                      | ~ ! [SY537: $i] :
                            ( ( v3_struct_0 @ SY537 )
                            | ~ ( v10_lattices @ SY537 )
                            | ~ ( l3_lattices @ SY537 )
                            | ( v3_struct_0 @ SV170 )
                            | ~ ( v10_lattices @ SV170 )
                            | ~ ( v15_lattices @ SV170 )
                            | ~ ( v16_lattices @ SV170 )
                            | ~ ( l3_lattices @ SV170 )
                            | ( v3_struct_0 @ SY537 )
                            | ~ ( v10_lattices @ SY537 )
                            | ~ ( v15_lattices @ SY537 )
                            | ~ ( v16_lattices @ SY537 )
                            | ~ ( l3_lattices @ SY537 )
                            | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                | ~ ! [SY538: $i] :
                      ( ( v3_struct_0 @ SY538 )
                      | ~ ( v10_lattices @ SY538 )
                      | ~ ( l3_lattices @ SY538 )
                      | ( v3_struct_0 @ SV170 )
                      | ~ ( v10_lattices @ SV170 )
                      | ~ ( v15_lattices @ SV170 )
                      | ~ ( v16_lattices @ SV170 )
                      | ~ ( l3_lattices @ SV170 )
                      | ( v3_struct_0 @ SY538 )
                      | ~ ( v10_lattices @ SY538 )
                      | ~ ( v15_lattices @ SY538 )
                      | ~ ( v16_lattices @ SY538 )
                      | ~ ( l3_lattices @ SY538 )
                      | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
          | ~ ! [SY539: $i] :
                ( ( v3_struct_0 @ SY539 )
                | ~ ( v10_lattices @ SY539 )
                | ~ ( l3_lattices @ SY539 )
                | ( v3_struct_0 @ SV170 )
                | ~ ( v10_lattices @ SV170 )
                | ~ ( v15_lattices @ SV170 )
                | ~ ( v16_lattices @ SV170 )
                | ~ ( l3_lattices @ SV170 )
                | ( v3_struct_0 @ SY539 )
                | ~ ( v10_lattices @ SY539 )
                | ~ ( v15_lattices @ SY539 )
                | ~ ( v16_lattices @ SY539 )
                | ~ ( l3_lattices @ SY539 )
                | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9626]) ).

thf(9761,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                ( ( v3_struct_0 @ SY540 )
                                                                | ~ ( v10_lattices @ SY540 )
                                                                | ~ ( l3_lattices @ SY540 )
                                                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                | ~ ( v3_struct_0 @ SV170 ) )
                                                          | ~ ! [SY541: $i] :
                                                                ( ( v3_struct_0 @ SY541 )
                                                                | ~ ( v10_lattices @ SY541 )
                                                                | ~ ( l3_lattices @ SY541 )
                                                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                | ( v10_lattices @ SV170 ) ) )
                                                    | ~ ! [SY542: $i] :
                                                          ( ( v3_struct_0 @ SY542 )
                                                          | ~ ( v10_lattices @ SY542 )
                                                          | ~ ( l3_lattices @ SY542 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                          | ( v15_lattices @ SV170 ) ) )
                                              | ~ ! [SY543: $i] :
                                                    ( ( v3_struct_0 @ SY543 )
                                                    | ~ ( v10_lattices @ SY543 )
                                                    | ~ ( l3_lattices @ SY543 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                    | ( v16_lattices @ SV170 ) ) )
                                        | ~ ! [SY544: $i] :
                                              ( ( v3_struct_0 @ SY544 )
                                              | ~ ( v10_lattices @ SY544 )
                                              | ~ ( l3_lattices @ SY544 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                              | ( l3_lattices @ SV170 ) ) )
                                  | ~ ! [SY545: $i] :
                                        ( ( v3_struct_0 @ SY545 )
                                        | ~ ( v10_lattices @ SY545 )
                                        | ~ ( l3_lattices @ SY545 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                        | ~ ( v3_struct_0 @ SY545 ) ) )
                            | ~ ! [SY546: $i] :
                                  ( ( v3_struct_0 @ SY546 )
                                  | ~ ( v10_lattices @ SY546 )
                                  | ~ ( l3_lattices @ SY546 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                  | ( v10_lattices @ SY546 ) ) )
                      | ~ ! [SY547: $i] :
                            ( ( v3_struct_0 @ SY547 )
                            | ~ ( v10_lattices @ SY547 )
                            | ~ ( l3_lattices @ SY547 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                            | ( v15_lattices @ SY547 ) ) )
                | ~ ! [SY548: $i] :
                      ( ( v3_struct_0 @ SY548 )
                      | ~ ( v10_lattices @ SY548 )
                      | ~ ( l3_lattices @ SY548 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                      | ( v16_lattices @ SY548 ) ) )
          | ~ ! [SY549: $i] :
                ( ( v3_struct_0 @ SY549 )
                | ~ ( v10_lattices @ SY549 )
                | ~ ( l3_lattices @ SY549 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                | ( l3_lattices @ SY549 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9627]) ).

thf(9762,plain,
    ! [SV293: $i] :
      ( ( ( ~ ( v15_lattices @ SV293 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV293 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV293 ) )
        = $true )
      | ( ( v17_lattices @ SV293 )
        = $true )
      | ( ( v3_struct_0 @ SV293 )
        = $true )
      | ( ( l3_lattices @ SV293 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9628]) ).

thf(9763,plain,
    ! [SV378: $i] :
      ( ( ( v3_struct_0 @ SV378 )
        | ~ ( l3_lattices @ SV378 )
        | ~ ( v17_lattices @ SV378 )
        | ( v15_lattices @ SV378 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9629]) ).

thf(9764,plain,
    ! [SV379: $i] :
      ( ( ( v3_struct_0 @ SV379 )
        | ~ ( l3_lattices @ SV379 )
        | ~ ( v17_lattices @ SV379 )
        | ( v16_lattices @ SV379 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9630]) ).

thf(9765,plain,
    ! [SV345: $i] :
      ( ( ( l3_lattices @ SV345 )
        = $false )
      | ( ( v3_struct_0 @ SV345 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV345 )
          | ( v11_lattices @ SV345 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9631]) ).

thf(9766,plain,
    ! [SV362: $i,SV294: $i] :
      ( ( ( ( u1_struct_0 @ SV294 )
          = ( k1_tarski @ SV362 ) )
        = $false )
      | ( ( v3_realset2 @ SV294 )
        = $true )
      | ( ( v3_struct_0 @ SV294 )
        = $true )
      | ( ( l1_struct_0 @ SV294 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9632]) ).

thf(9767,plain,
    ! [SV356: $i,SV346: $i] :
      ( ( ( ( v3_struct_0 @ SV346 )
          | ~ ( v10_lattices @ SV346 )
          | ~ ( l3_lattices @ SV346 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV356 @ SV346 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_0 @ SV346 @ SV356 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9634]) ).

thf(9768,plain,
    ! [SV357: $i,SV347: $i] :
      ( ( ( ( v3_struct_0 @ SV347 )
          | ~ ( v10_lattices @ SV347 )
          | ~ ( l3_lattices @ SV347 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV357 @ SV347 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_0 @ SV347 @ SV357 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9635]) ).

thf(9769,plain,
    ! [SV309: $i,SV296: $i] :
      ( ( ( v10_lattices @ SV296 )
        = $false )
      | ( ( v3_struct_0 @ SV296 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV296 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV309 @ SV296 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_0 @ SV296 @ SV309 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9636]) ).

thf(9770,plain,
    ! [SV171: $i] :
      ( ( ( v1_xboole_0 @ ( sK53_B @ SV171 ) )
        = $false )
      | ( ( v10_lattices @ SV171 )
        = $false )
      | ( ( v3_struct_0 @ SV171 )
        = $true )
      | ( ( l3_lattices @ SV171 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9638]) ).

thf(9771,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9639]) ).

thf(9772,plain,
    ! [SV380: $i] :
      ( ( ( v3_struct_0 @ SV380 )
        | ~ ( v10_lattices @ SV380 )
        | ~ ( l3_lattices @ SV380 )
        | ( v3_struct_0 @ SV380 )
        | ~ ( v10_lattices @ SV380 )
        | ~ ( v11_lattices @ SV380 )
        | ~ ( l3_lattices @ SV380 )
        | ( v11_lattices @ ( k1_lattice2 @ SV380 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9640]) ).

thf(9773,plain,
    ! [SV348: $i] :
      ( ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV348 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV348 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV348 )
          | ~ ( v10_lattices @ SV348 )
          | ~ ( v11_lattices @ SV348 )
          | ~ ( l3_lattices @ SV348 )
          | ( l3_lattices @ ( k1_lattice2 @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9641]) ).

thf(9774,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v3_struct_0 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
            | ( v10_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9642]) ).

thf(9775,plain,
    ! [SV381: $i] :
      ( ( ( v3_struct_0 @ SV381 )
        | ~ ( v10_lattices @ SV381 )
        | ~ ( l3_lattices @ SV381 )
        | ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
        | ~ ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
        | ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) )
        | ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) )
        | ( v11_lattices @ SV381 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9643]) ).

thf(9776,plain,
    ! [SV349: $i] :
      ( ( ( v3_struct_0 @ SV349 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV349 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV349 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) )
          | ( l3_lattices @ SV349 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9644]) ).

thf(9777,plain,
    ! [SV210: $i,SV172: $i,SV22: $i] :
      ( ( ( v17_lattices @ SV22 )
        = $false )
      | ( ( v3_struct_0 @ SV22 )
        = $true )
      | ( ( v10_lattices @ SV22 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV172 @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV210 @ SV22 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9645]) ).

thf(9778,plain,
    ! [SV24: $i,SV312: $i] :
      ( ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV312 ) )
        = $true )
      | ( ( ! [SY577: $i] :
              ( ( v3_struct_0 @ SY577 )
              | ~ ( v10_lattices @ SY577 )
              | ~ ( l3_lattices @ SY577 )
              | ~ ( r1_filter_1 @ SV24 @ SV312 )
              | ~ ( r1_filter_1 @ SV312 @ SY577 )
              | ( r1_filter_1 @ SV24 @ SY577 ) ) )
        = $true )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9646]) ).

thf(9779,plain,
    ! [SV25: $i,SV313: $i] :
      ( ( ( v10_lattices @ SV313 )
        = $false )
      | ( ( v3_struct_0 @ SV313 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV313 ) )
        = $true )
      | ( ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SV313 ) )
          = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SV313 ) ) )
        = $true )
      | ( ( v10_lattices @ SV25 )
        = $false )
      | ( ( v3_struct_0 @ SV25 )
        = $true )
      | ( ( l3_lattices @ SV25 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9647]) ).

thf(9780,plain,
    ! [SV26: $i,SV314: $i] :
      ( ( ( v10_lattices @ SV314 )
        = $false )
      | ( ( v3_struct_0 @ SV314 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV314 ) )
        = $true )
      | ( ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SV314 ) @ ( k8_filter_1 @ SV314 @ SV26 ) )
        = $true )
      | ( ( v10_lattices @ SV26 )
        = $false )
      | ( ( v3_struct_0 @ SV26 )
        = $true )
      | ( ( l3_lattices @ SV26 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9648]) ).

thf(9781,plain,
    ! [SV27: $i,SV173: $i] :
      ( ( ( v10_lattices @ SV173 )
        = $false )
      | ( ( v3_struct_0 @ SV173 )
        = $true )
      | ( ( v10_lattices @ SV27 )
        = $false )
      | ( ( v3_struct_0 @ SV27 )
        = $true )
      | ( ( l3_lattices @ SV27 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV173 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV27 @ SV173 )
          | ( r1_filter_1 @ SV173 @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9649]) ).

thf(9782,plain,
    ! [SV28: $i,SV211: $i] :
      ( ( ( v10_lattices @ SV211 )
        = $false )
      | ( ( v3_struct_0 @ SV211 )
        = $true )
      | ( ( v10_lattices @ SV28 )
        = $false )
      | ( ( v3_struct_0 @ SV28 )
        = $true )
      | ( ( l3_lattices @ SV28 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV211 ) )
        = $true )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9650]) ).

thf(9783,plain,
    ! [SV212: $i,SV29: $i,SV174: $i] :
      ( ( ( m1_filter_0 @ SV174 @ SV29 )
        = $false )
      | ( ( v10_lattices @ SV29 )
        = $false )
      | ( ( v3_struct_0 @ SV29 )
        = $true )
      | ( ( l3_lattices @ SV29 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV212 @ SV29 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SV212 ) @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9651]) ).

thf(9784,plain,
    ! [SV213: $i,SV30: $i,SV175: $i] :
      ( ( ( m1_filter_0 @ SV175 @ SV30 )
        = $false )
      | ( ( v10_lattices @ SV30 )
        = $false )
      | ( ( v3_struct_0 @ SV30 )
        = $true )
      | ( ( l3_lattices @ SV30 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV213 @ SV30 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV30 @ SV175 @ SV213 )
          = ( k1_filter_1 @ SV30 @ SV213 @ SV175 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9652]) ).

thf(9785,plain,
    ! [SV176: $i,SV31: $i,SV382: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV382 @ SV31 ) )
        = $true )
      | ( ( l3_lattices @ SV31 )
        = $false )
      | ( ( v3_struct_0 @ SV31 )
        = $true )
      | ( ( v10_lattices @ SV31 )
        = $false )
      | ( ( m1_filter_0 @ SV176 @ SV31 )
        = $false )
      | ( ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[9653]) ).

thf(9786,plain,
    ! [SV40: $i,SV358: $i] :
      ( ( ( m3_lattice4 @ SV358 @ SV40 )
        = $false )
      | ( ( m2_lattice4 @ SV358 @ SV40 )
        = $true )
      | ( ( v17_lattices @ SV40 )
        = $false )
      | ( ( v3_struct_0 @ SV40 )
        = $true )
      | ( ( v10_lattices @ SV40 )
        = $false )
      | ( ( l3_lattices @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9654]) ).

thf(9787,plain,
    ! [SV41: $i,SV177: $i] :
      ( ( ( v10_lattices @ SV177 )
        = $false )
      | ( ( v3_struct_0 @ SV177 )
        = $true )
      | ( ( v10_lattices @ SV41 )
        = $false )
      | ( ( v3_struct_0 @ SV41 )
        = $true )
      | ( ( l3_lattices @ SV41 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV177 ) )
        = $true )
      | ( ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9655]) ).

thf(9788,plain,
    ! [SV122: $i,SV359: $i] :
      ( ( ( m1_filter_0 @ SV359 @ SV122 )
        = $false )
      | ( ( ! [SY587: $i] :
              ( ~ ( m1_filter_0 @ SY587 @ SV122 )
              | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SV359 @ SY587 ) )
                = ( k7_filter_0 @ SV122 @ SV359 @ SY587 ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV122 )
        = $false )
      | ( ( v3_struct_0 @ SV122 )
        = $true )
      | ( ( v10_lattices @ SV122 )
        = $false )
      | ( ( l3_lattices @ SV122 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9658]) ).

thf(9789,plain,
    ! [SV317: $i,SV124: $i] :
      ( ( ( v14_lattices @ SV124 )
        = $false )
      | ( ( v14_lattices @ ( k8_filter_0 @ SV124 @ SV317 ) )
        = $true )
      | ( ( m1_filter_0 @ SV317 @ SV124 )
        = $false )
      | ( ( v10_lattices @ SV124 )
        = $false )
      | ( ( v3_struct_0 @ SV124 )
        = $true )
      | ( ( l3_lattices @ SV124 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9659]) ).

thf(9790,plain,
    ! [SV318: $i,SV125: $i] :
      ( ( ( v12_lattices @ SV125 )
        = $false )
      | ( ( v12_lattices @ ( k8_filter_0 @ SV125 @ SV318 ) )
        = $true )
      | ( ( m1_filter_0 @ SV318 @ SV125 )
        = $false )
      | ( ( v10_lattices @ SV125 )
        = $false )
      | ( ( v3_struct_0 @ SV125 )
        = $true )
      | ( ( l3_lattices @ SV125 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9660]) ).

thf(9791,plain,
    ! [SV319: $i,SV126: $i] :
      ( ( ( v11_lattices @ SV126 )
        = $false )
      | ( ( v11_lattices @ ( k8_filter_0 @ SV126 @ SV319 ) )
        = $true )
      | ( ( m1_filter_0 @ SV319 @ SV126 )
        = $false )
      | ( ( v10_lattices @ SV126 )
        = $false )
      | ( ( v3_struct_0 @ SV126 )
        = $true )
      | ( ( l3_lattices @ SV126 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9661]) ).

thf(9792,plain,
    ! [SV320: $i,SV127: $i] :
      ( ( ( ( v3_struct_0 @ SV127 )
          | ~ ( v10_lattices @ SV127 )
          | ~ ( v3_filter_0 @ SV127 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV127 ) )
        = $true )
      | ( ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SV320 ) )
        = $true )
      | ( ( m1_filter_0 @ SV320 @ SV127 )
        = $false )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( l3_lattices @ SV127 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9662]) ).

thf(9793,plain,
    ! [SV219: $i,SV201: $i,SV128: $i] :
      ( ( ( v11_lattices @ SV128 )
        = $false )
      | ( ( v3_struct_0 @ SV128 )
        = $true )
      | ( ( v10_lattices @ SV128 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV201 @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV219 @ SV128 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9663]) ).

thf(9794,plain,
    ! [SV220: $i,SV202: $i,SV129: $i] :
      ( ( ( v17_lattices @ SV129 )
        = $false )
      | ( ( v3_struct_0 @ SV129 )
        = $true )
      | ( ( v10_lattices @ SV129 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV202 @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV220 @ SV129 ) )
        = $true )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9664]) ).

thf(9795,plain,
    ! [SV321: $i,SV131: $i,SV363: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV363 @ SV131 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SV321 @ SV363 ) @ SV131 )
        = $true )
      | ( ( m1_filter_0 @ SV321 @ SV131 )
        = $false )
      | ( ( v10_lattices @ SV131 )
        = $false )
      | ( ( v3_struct_0 @ SV131 )
        = $true )
      | ( ( l3_lattices @ SV131 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9665]) ).

thf(9796,plain,
    ! [SV132: $i,SV360: $i] :
      ( ( ( m1_filter_0 @ SV360 @ SV132 )
        = $false )
      | ( ( v3_filter_0 @ ( k5_filter_1 @ SV132 @ SV360 ) )
        = $true )
      | ( ( v3_filter_0 @ SV132 )
        = $false )
      | ( ( v3_struct_0 @ SV132 )
        = $true )
      | ( ( v10_lattices @ SV132 )
        = $false )
      | ( ( l3_lattices @ SV132 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9666]) ).

thf(9797,plain,
    ! [SV221: $i,SV135: $i,SV206: $i] :
      ( ( ( m1_filter_0 @ SV206 @ SV135 )
        = $false )
      | ( ( v10_lattices @ SV135 )
        = $false )
      | ( ( v3_struct_0 @ SV135 )
        = $true )
      | ( ( l3_lattices @ SV135 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV221 @ SV135 ) )
        = $true )
      | ( ( ( k1_filter_1 @ SV135 @ SV206 @ SV221 )
          = ( k3_xboole_0 @ SV206 @ SV221 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9667]) ).

thf(9798,plain,
    ! [SV140: $i,SV322: $i] :
      ( ( ( v3_struct_0 @ SV322 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV322 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV322 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV322 ) )
        = $true )
      | ( ( ! [SY579: $i] :
              ( ~ ( m1_lattice4 @ SY579 @ SV322 @ SV140 )
              | ~ ( v2_lattice4 @ SY579 @ SV322 @ SV140 )
              | ( v11_lattices @ SV140 ) ) )
        = $true )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9668]) ).

thf(9799,plain,
    ! [SV151: $i,SV364: $i] :
      ( ( ( ( v3_struct_0 @ SV364 )
          | ~ ( v10_lattices @ SV364 )
          | ~ ( l3_lattices @ SV364 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ SV151 )
          | ~ ( v12_lattices @ SV364 )
          | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV364 ) ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9669]) ).

thf(9800,plain,
    ! [SV151: $i] :
      ( ( ( ~ ! [SY476: $i] :
                ( ( v3_struct_0 @ SY476 )
                | ~ ( v10_lattices @ SY476 )
                | ~ ( l3_lattices @ SY476 )
                | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
                | ( v12_lattices @ SV151 ) ) )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9670]) ).

thf(9801,plain,
    ! [SV151: $i] :
      ( ( ( ~ ! [SY477: $i] :
                ( ( v3_struct_0 @ SY477 )
                | ~ ( v10_lattices @ SY477 )
                | ~ ( l3_lattices @ SY477 )
                | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
                | ( v12_lattices @ SY477 ) ) )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9670]) ).

thf(9802,plain,
    ! [SV152: $i,SV365: $i] :
      ( ( ( ( v3_struct_0 @ SV365 )
          | ~ ( v10_lattices @ SV365 )
          | ~ ( l3_lattices @ SV365 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV152 @ SV365 )
          | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV365 ) ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9671]) ).

thf(9803,plain,
    ! [SV152: $i,SV366: $i] :
      ( ( ( ( v3_struct_0 @ SV366 )
          | ~ ( v10_lattices @ SV366 )
          | ~ ( l3_lattices @ SV366 ) )
        = $true )
      | ( ( ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV366 ) )
          | ( r1_filter_1 @ SV152 @ SV366 ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9672]) ).

thf(9804,plain,
    ! [SV153: $i,SV367: $i] :
      ( ( ( ~ ( m1_borsuk_1 @ SV367 @ SV153 ) )
        = $true )
      | ( ( ~ ( v1_xboole_0 @ SV367 ) )
        = $true )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9673]) ).

thf(9805,plain,
    ! [SV153: $i,SV368: $i] :
      ( ( ( ~ ( m1_borsuk_1 @ SV368 @ SV153 ) )
        = $true )
      | ( ( m1_eqrel_1 @ SV368 @ ( u1_struct_0 @ SV153 ) )
        = $true )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9674]) ).

thf(9806,plain,
    ! [SV323: $i] :
      ( ( ( ( v3_struct_0 @ SV323 )
          | ~ ( v10_lattices @ SV323 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV323 ) )
        = $true )
      | ( ( v3_realset2 @ SV323 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV323 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV323 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9675]) ).

thf(9807,plain,
    ! [SV324: $i] :
      ( ( ( ( v3_struct_0 @ SV324 )
          | ~ ( v10_lattices @ SV324 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV324 ) )
        = $true )
      | ( ( v3_realset2 @ SV324 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV324 ) )
        = $true )
      | ( ( v10_lattices @ ( k12_lopclset @ SV324 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9676]) ).

thf(9808,plain,
    ! [SV231: $i] :
      ( ( ( v17_lattices @ SV231 )
        = $false )
      | ( ( v3_struct_0 @ SV231 )
        = $true )
      | ( ( v10_lattices @ SV231 )
        = $false )
      | ( ( v3_realset2 @ SV231 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV231 ) )
        = $true )
      | ( ( l3_lattices @ ( k12_lopclset @ SV231 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9677]) ).

thf(9809,plain,
    ! [SV350: $i,SV325: $i] :
      ( ( ( ( v3_struct_0 @ SV325 )
          | ~ ( v2_pre_topc @ SV325 )
          | ~ ( l1_pre_topc @ SV325 )
          | ( v3_struct_0 @ SV350 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9678]) ).

thf(9810,plain,
    ! [SV351: $i,SV326: $i] :
      ( ( ( ( v3_struct_0 @ SV326 )
          | ~ ( v2_pre_topc @ SV326 )
          | ~ ( l1_pre_topc @ SV326 )
          | ( v3_struct_0 @ SV351 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV351 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV351 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9679]) ).

thf(9811,plain,
    ! [SV298: $i,SV234: $i] :
      ( ( ( v3_struct_0 @ SV234 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV234 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV234 ) )
        = $true )
      | ( ( v3_struct_0 @ SV298 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV298 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV298 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9680]) ).

thf(9812,plain,
    ! [SV155: $i] :
      ( ( ( m1_pre_topc @ ( sK67_B @ SV155 ) @ SV155 )
        = $true )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( v2_pre_topc @ SV155 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9682]) ).

thf(9813,plain,
    ! [SV155: $i] :
      ( ( ( v1_pre_topc @ ( sK67_B @ SV155 ) )
        = $true )
      | ( ( l1_pre_topc @ SV155 )
        = $false )
      | ( ( v2_pre_topc @ SV155 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9683]) ).

thf(9814,plain,
    ! [SV156: $i,SV369: $i] :
      ( ( ( ( v3_struct_0 @ SV369 )
          | ~ ( v10_lattices @ SV369 )
          | ~ ( l3_lattices @ SV369 ) )
        = $true )
      | ( ( ! [SY589: $i] :
              ( ~ ( m1_lattice4 @ SY589 @ SV156 @ SV369 )
              | ~ ( v3_lattice4 @ SY589 @ SV156 @ SV369 ) )
          | ( r1_filter_1 @ SV156 @ SV369 ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9684]) ).

thf(9815,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( ( v3_struct_0 @ SV370 )
          | ~ ( v10_lattices @ SV370 )
          | ~ ( l3_lattices @ SV370 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV156 @ SV370 )
          | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
              | ~ ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9685]) ).

thf(9816,plain,
    ! [SV327: $i] :
      ( ( ( v3_struct_0 @ SV327 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV327 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV327 ) )
        = $true )
      | ( ( l3_lattices @ SV327 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9686]) ).

thf(9817,plain,
    ! [SV328: $i] :
      ( ( ( v3_struct_0 @ SV328 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV328 ) )
        = $true )
      | ( ( v13_lattices @ SV328 )
        = $true )
      | ( ( l3_lattices @ SV328 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9687]) ).

thf(9818,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY485: $i] :
                            ( ( v3_struct_0 @ SY485 )
                            | ~ ( v10_lattices @ SY485 )
                            | ~ ( l3_lattices @ SY485 )
                            | ( v3_struct_0 @ SV157 )
                            | ~ ( v10_lattices @ SV157 )
                            | ~ ( v17_lattices @ SV157 )
                            | ~ ( l3_lattices @ SV157 )
                            | ( v3_struct_0 @ SY485 )
                            | ~ ( v10_lattices @ SY485 )
                            | ~ ( v17_lattices @ SY485 )
                            | ~ ( l3_lattices @ SY485 )
                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                      | ~ ! [SY486: $i] :
                            ( ( v3_struct_0 @ SY486 )
                            | ~ ( v10_lattices @ SY486 )
                            | ~ ( l3_lattices @ SY486 )
                            | ( v3_struct_0 @ SV157 )
                            | ~ ( v10_lattices @ SV157 )
                            | ~ ( v17_lattices @ SV157 )
                            | ~ ( l3_lattices @ SV157 )
                            | ( v3_struct_0 @ SY486 )
                            | ~ ( v10_lattices @ SY486 )
                            | ~ ( v17_lattices @ SY486 )
                            | ~ ( l3_lattices @ SY486 )
                            | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
                | ~ ! [SY487: $i] :
                      ( ( v3_struct_0 @ SY487 )
                      | ~ ( v10_lattices @ SY487 )
                      | ~ ( l3_lattices @ SY487 )
                      | ( v3_struct_0 @ SV157 )
                      | ~ ( v10_lattices @ SV157 )
                      | ~ ( v17_lattices @ SV157 )
                      | ~ ( l3_lattices @ SV157 )
                      | ( v3_struct_0 @ SY487 )
                      | ~ ( v10_lattices @ SY487 )
                      | ~ ( v17_lattices @ SY487 )
                      | ~ ( l3_lattices @ SY487 )
                      | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9688]) ).

thf(9819,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY488: $i] :
                ( ( v3_struct_0 @ SY488 )
                | ~ ( v10_lattices @ SY488 )
                | ~ ( l3_lattices @ SY488 )
                | ( v3_struct_0 @ SV157 )
                | ~ ( v10_lattices @ SV157 )
                | ~ ( v17_lattices @ SV157 )
                | ~ ( l3_lattices @ SV157 )
                | ( v3_struct_0 @ SY488 )
                | ~ ( v10_lattices @ SY488 )
                | ~ ( v17_lattices @ SY488 )
                | ~ ( l3_lattices @ SY488 )
                | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9688]) ).

thf(9820,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                    ( ( v3_struct_0 @ SY489 )
                                                    | ~ ( v10_lattices @ SY489 )
                                                    | ~ ( l3_lattices @ SY489 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                    | ~ ( v3_struct_0 @ SV157 ) )
                                              | ~ ! [SY490: $i] :
                                                    ( ( v3_struct_0 @ SY490 )
                                                    | ~ ( v10_lattices @ SY490 )
                                                    | ~ ( l3_lattices @ SY490 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                    | ( v10_lattices @ SV157 ) ) )
                                        | ~ ! [SY491: $i] :
                                              ( ( v3_struct_0 @ SY491 )
                                              | ~ ( v10_lattices @ SY491 )
                                              | ~ ( l3_lattices @ SY491 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                              | ( v17_lattices @ SV157 ) ) )
                                  | ~ ! [SY492: $i] :
                                        ( ( v3_struct_0 @ SY492 )
                                        | ~ ( v10_lattices @ SY492 )
                                        | ~ ( l3_lattices @ SY492 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                        | ( l3_lattices @ SV157 ) ) )
                            | ~ ! [SY493: $i] :
                                  ( ( v3_struct_0 @ SY493 )
                                  | ~ ( v10_lattices @ SY493 )
                                  | ~ ( l3_lattices @ SY493 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                  | ~ ( v3_struct_0 @ SY493 ) ) )
                      | ~ ! [SY494: $i] :
                            ( ( v3_struct_0 @ SY494 )
                            | ~ ( v10_lattices @ SY494 )
                            | ~ ( l3_lattices @ SY494 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                            | ( v10_lattices @ SY494 ) ) )
                | ~ ! [SY495: $i] :
                      ( ( v3_struct_0 @ SY495 )
                      | ~ ( v10_lattices @ SY495 )
                      | ~ ( l3_lattices @ SY495 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                      | ( v17_lattices @ SY495 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9689]) ).

thf(9821,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY496: $i] :
                ( ( v3_struct_0 @ SY496 )
                | ~ ( v10_lattices @ SY496 )
                | ~ ( l3_lattices @ SY496 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
                | ( l3_lattices @ SY496 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9689]) ).

thf(9822,plain,
    ! [SV158: $i,SV371: $i] :
      ( ( ( ( v3_struct_0 @ SV371 )
          | ~ ( v10_lattices @ SV371 )
          | ~ ( l3_lattices @ SV371 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV158 )
          | ~ ( v3_filter_0 @ SV371 )
          | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV371 ) ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9690]) ).

thf(9823,plain,
    ! [SV158: $i] :
      ( ( ( ~ ! [SY498: $i] :
                ( ( v3_struct_0 @ SY498 )
                | ~ ( v10_lattices @ SY498 )
                | ~ ( l3_lattices @ SY498 )
                | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
                | ( v3_filter_0 @ SV158 ) ) )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9691]) ).

thf(9824,plain,
    ! [SV158: $i] :
      ( ( ( ~ ! [SY499: $i] :
                ( ( v3_struct_0 @ SY499 )
                | ~ ( v10_lattices @ SY499 )
                | ~ ( l3_lattices @ SY499 )
                | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
                | ( v3_filter_0 @ SY499 ) ) )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9691]) ).

thf(9825,plain,
    ! [SV159: $i,SV209: $i] :
      ( ( ( v1_xboole_0 @ ( sK4_C @ SV209 @ SV159 ) )
        = $false )
      | ( ( l1_struct_0 @ SV159 )
        = $false )
      | ( ( v3_struct_0 @ SV209 )
        = $true )
      | ( ( l1_struct_0 @ SV209 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9693]) ).

thf(9826,plain,
    ! [SV244: $i,SV301: $i] :
      ( ( ( l3_lattices @ SV301 )
        = $false )
      | ( ( v3_struct_0 @ SV301 )
        = $true )
      | ( ( v3_struct_0 @ SV244 )
        = $true )
      | ( ( l3_lattices @ SV244 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV244 @ SV301 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9694]) ).

thf(9827,plain,
    ! [SV245: $i,SV302: $i] :
      ( ( ( l3_lattices @ SV302 )
        = $false )
      | ( ( v3_struct_0 @ SV302 )
        = $true )
      | ( ( v3_struct_0 @ SV245 )
        = $true )
      | ( ( l3_lattices @ SV245 )
        = $false )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV245 @ SV302 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9695]) ).

thf(9828,plain,
    ! [SV160: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                            ( ( v3_struct_0 @ SY501 )
                            | ~ ( l3_lattices @ SY501 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                            | ~ ( v3_struct_0 @ SV160 ) )
                      | ~ ! [SY502: $i] :
                            ( ( v3_struct_0 @ SY502 )
                            | ~ ( l3_lattices @ SY502 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                            | ( v10_lattices @ SV160 ) ) )
                | ~ ! [SY503: $i] :
                      ( ( v3_struct_0 @ SY503 )
                      | ~ ( l3_lattices @ SY503 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                      | ( l3_lattices @ SV160 ) ) )
          | ~ ! [SY504: $i] :
                ( ( v3_struct_0 @ SY504 )
                | ~ ( l3_lattices @ SY504 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                | ~ ( v3_struct_0 @ SY504 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9696]) ).

thf(9829,plain,
    ! [SV160: $i,SV383: $i] :
      ( ( ( ( v3_struct_0 @ SV383 )
          | ~ ( l3_lattices @ SV383 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ( v10_lattices @ SV383 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9697]) ).

thf(9830,plain,
    ! [SV160: $i,SV352: $i] :
      ( ( ( l3_lattices @ SV352 )
        = $false )
      | ( ( v3_struct_0 @ SV352 )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ( l3_lattices @ SV352 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9698]) ).

thf(9831,plain,
    ! [SV248: $i,SV303: $i] :
      ( ( ( l3_lattices @ SV303 )
        = $false )
      | ( ( v3_struct_0 @ SV303 )
        = $true )
      | ( ( v3_struct_0 @ SV248 )
        = $true )
      | ( ( l3_lattices @ SV248 )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV248 @ SV303 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9699]) ).

thf(9832,plain,
    ! [SV249: $i,SV304: $i] :
      ( ( ( l3_lattices @ SV304 )
        = $false )
      | ( ( v3_struct_0 @ SV304 )
        = $true )
      | ( ( v3_struct_0 @ SV249 )
        = $true )
      | ( ( l3_lattices @ SV249 )
        = $false )
      | ( ( v3_lattices @ ( k8_filter_1 @ SV249 @ SV304 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9700]) ).

thf(9833,plain,
    ! [SV161: $i] :
      ( ( ( ! [SY507: $i] :
              ( ~ ( m1_filter_0 @ SY507 @ SV161 )
              | ( SY507
                = ( k1_filter_0 @ SV161 ) )
              | ~ ( v2_filter_0 @ SY507 @ SV161 )
              | ( v1_filter_0 @ SY507 @ SV161 ) ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9701]) ).

thf(9834,plain,
    ! [SV161: $i] :
      ( ( ( ~ ( ~ ! [SY508: $i] :
                    ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                    | ~ ( v1_filter_0 @ SY508 @ SV161 )
                    | ( SY508
                     != ( k1_filter_0 @ SV161 ) ) )
              | ~ ! [SY509: $i] :
                    ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                    | ~ ( v1_filter_0 @ SY509 @ SV161 )
                    | ( v2_filter_0 @ SY509 @ SV161 ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9702]) ).

thf(9835,plain,
    ! [SV254: $i] :
      ( ( ( v14_lattices @ SV254 )
        = $false )
      | ( ( v3_struct_0 @ SV254 )
        = $true )
      | ( ( v13_lattices @ SV254 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV254 ) )
        = $true )
      | ( ( l3_lattices @ SV254 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9703]) ).

thf(9836,plain,
    ! [SV255: $i] :
      ( ( ( v14_lattices @ SV255 )
        = $false )
      | ( ( v3_struct_0 @ SV255 )
        = $true )
      | ( ( v13_lattices @ SV255 )
        = $false )
      | ( ( v15_lattices @ SV255 )
        = $true )
      | ( ( l3_lattices @ SV255 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9704]) ).

thf(9837,plain,
    ! [SV256: $i] :
      ( ( ( v13_lattices @ ( k1_lattice2 @ SV256 ) )
        = $false )
      | ( ( v14_lattices @ SV256 )
        = $true )
      | ( ( v10_lattices @ SV256 )
        = $false )
      | ( ( v3_struct_0 @ SV256 )
        = $true )
      | ( ( l3_lattices @ SV256 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9705]) ).

thf(9838,plain,
    ! [SV257: $i] :
      ( ( ( v14_lattices @ SV257 )
        = $false )
      | ( ( v13_lattices @ ( k1_lattice2 @ SV257 ) )
        = $true )
      | ( ( v10_lattices @ SV257 )
        = $false )
      | ( ( v3_struct_0 @ SV257 )
        = $true )
      | ( ( l3_lattices @ SV257 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9706]) ).

thf(9839,plain,
    ! [SV258: $i] :
      ( ( ( v14_lattices @ SV258 )
        = $false )
      | ( ( v13_lattices @ SV258 )
        = $false )
      | ( ( v15_lattices @ SV258 )
        = $true )
      | ( ( v3_struct_0 @ SV258 )
        = $true )
      | ( ( l3_lattices @ SV258 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9707]) ).

thf(9840,plain,
    ! [SV329: $i] :
      ( ( ( ~ ( v15_lattices @ SV329 ) )
        = $true )
      | ( ( v13_lattices @ SV329 )
        = $true )
      | ( ( v3_struct_0 @ SV329 )
        = $true )
      | ( ( l3_lattices @ SV329 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9708]) ).

thf(9841,plain,
    ! [SV330: $i] :
      ( ( ( ~ ( v15_lattices @ SV330 ) )
        = $true )
      | ( ( v14_lattices @ SV330 )
        = $true )
      | ( ( v3_struct_0 @ SV330 )
        = $true )
      | ( ( l3_lattices @ SV330 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9709]) ).

thf(9842,plain,
    ! [SV162: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ! [SY510: $i] :
                          ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                          | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                    | ~ ! [SY511: $i] :
                          ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                          | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
              | ~ ! [SY512: $i] :
                    ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                    | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9710]) ).

thf(9843,plain,
    ! [SV162: $i] :
      ( ( ( ! [SY513: $i] :
              ( ~ ( m1_filter_0 @ SY513 @ SV162 )
              | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SY513 ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9711]) ).

thf(9844,plain,
    ! [SV163: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                      | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
                | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9712]) ).

thf(9845,plain,
    ! [SV163: $i] :
      ( ( ( ~ ( v2_pre_topc @ ( sK7_B @ SV163 ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9712]) ).

thf(9846,plain,
    ! [SV261: $i] :
      ( ( ( v17_lattices @ SV261 )
        = $false )
      | ( ( v3_struct_0 @ SV261 )
        = $true )
      | ( ( v10_lattices @ SV261 )
        = $false )
      | ( ( v3_realset2 @ SV261 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV261 ) )
        = $true )
      | ( ( v1_funct_1 @ ( k8_lopclset @ SV261 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9713]) ).

thf(9847,plain,
    ! [SV262: $i] :
      ( ( ( v17_lattices @ SV262 )
        = $false )
      | ( ( v3_struct_0 @ SV262 )
        = $true )
      | ( ( v10_lattices @ SV262 )
        = $false )
      | ( ( v3_realset2 @ SV262 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV262 ) )
        = $true )
      | ( ( v1_relat_1 @ ( k8_lopclset @ SV262 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9714]) ).

thf(9848,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY514: $i] :
                            ( ( v3_struct_0 @ SY514 )
                            | ~ ( v10_lattices @ SY514 )
                            | ~ ( l3_lattices @ SY514 )
                            | ( v3_struct_0 @ SV164 )
                            | ~ ( v10_lattices @ SV164 )
                            | ~ ( v11_lattices @ SV164 )
                            | ~ ( l3_lattices @ SV164 )
                            | ( v3_struct_0 @ SY514 )
                            | ~ ( v10_lattices @ SY514 )
                            | ~ ( v11_lattices @ SY514 )
                            | ~ ( l3_lattices @ SY514 )
                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                      | ~ ! [SY515: $i] :
                            ( ( v3_struct_0 @ SY515 )
                            | ~ ( v10_lattices @ SY515 )
                            | ~ ( l3_lattices @ SY515 )
                            | ( v3_struct_0 @ SV164 )
                            | ~ ( v10_lattices @ SV164 )
                            | ~ ( v11_lattices @ SV164 )
                            | ~ ( l3_lattices @ SV164 )
                            | ( v3_struct_0 @ SY515 )
                            | ~ ( v10_lattices @ SY515 )
                            | ~ ( v11_lattices @ SY515 )
                            | ~ ( l3_lattices @ SY515 )
                            | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
                | ~ ! [SY516: $i] :
                      ( ( v3_struct_0 @ SY516 )
                      | ~ ( v10_lattices @ SY516 )
                      | ~ ( l3_lattices @ SY516 )
                      | ( v3_struct_0 @ SV164 )
                      | ~ ( v10_lattices @ SV164 )
                      | ~ ( v11_lattices @ SV164 )
                      | ~ ( l3_lattices @ SV164 )
                      | ( v3_struct_0 @ SY516 )
                      | ~ ( v10_lattices @ SY516 )
                      | ~ ( v11_lattices @ SY516 )
                      | ~ ( l3_lattices @ SY516 )
                      | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9715]) ).

thf(9849,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY517: $i] :
                ( ( v3_struct_0 @ SY517 )
                | ~ ( v10_lattices @ SY517 )
                | ~ ( l3_lattices @ SY517 )
                | ( v3_struct_0 @ SV164 )
                | ~ ( v10_lattices @ SV164 )
                | ~ ( v11_lattices @ SV164 )
                | ~ ( l3_lattices @ SV164 )
                | ( v3_struct_0 @ SY517 )
                | ~ ( v10_lattices @ SY517 )
                | ~ ( v11_lattices @ SY517 )
                | ~ ( l3_lattices @ SY517 )
                | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9715]) ).

thf(9850,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                    ( ( v3_struct_0 @ SY518 )
                                                    | ~ ( v10_lattices @ SY518 )
                                                    | ~ ( l3_lattices @ SY518 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                    | ~ ( v3_struct_0 @ SV164 ) )
                                              | ~ ! [SY519: $i] :
                                                    ( ( v3_struct_0 @ SY519 )
                                                    | ~ ( v10_lattices @ SY519 )
                                                    | ~ ( l3_lattices @ SY519 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                    | ( v10_lattices @ SV164 ) ) )
                                        | ~ ! [SY520: $i] :
                                              ( ( v3_struct_0 @ SY520 )
                                              | ~ ( v10_lattices @ SY520 )
                                              | ~ ( l3_lattices @ SY520 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                              | ( v11_lattices @ SV164 ) ) )
                                  | ~ ! [SY521: $i] :
                                        ( ( v3_struct_0 @ SY521 )
                                        | ~ ( v10_lattices @ SY521 )
                                        | ~ ( l3_lattices @ SY521 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                        | ( l3_lattices @ SV164 ) ) )
                            | ~ ! [SY522: $i] :
                                  ( ( v3_struct_0 @ SY522 )
                                  | ~ ( v10_lattices @ SY522 )
                                  | ~ ( l3_lattices @ SY522 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                  | ~ ( v3_struct_0 @ SY522 ) ) )
                      | ~ ! [SY523: $i] :
                            ( ( v3_struct_0 @ SY523 )
                            | ~ ( v10_lattices @ SY523 )
                            | ~ ( l3_lattices @ SY523 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                            | ( v10_lattices @ SY523 ) ) )
                | ~ ! [SY524: $i] :
                      ( ( v3_struct_0 @ SY524 )
                      | ~ ( v10_lattices @ SY524 )
                      | ~ ( l3_lattices @ SY524 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                      | ( v11_lattices @ SY524 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9716]) ).

thf(9851,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY525: $i] :
                ( ( v3_struct_0 @ SY525 )
                | ~ ( v10_lattices @ SY525 )
                | ~ ( l3_lattices @ SY525 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
                | ( l3_lattices @ SY525 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9716]) ).

thf(9852,plain,
    ! [SV165: $i,SV372: $i] :
      ( ( ( ( v3_struct_0 @ SV372 )
          | ~ ( v10_lattices @ SV372 )
          | ~ ( l3_lattices @ SV372 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV165 )
          | ~ ( v15_lattices @ SV372 )
          | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV372 ) ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9717]) ).

thf(9853,plain,
    ! [SV165: $i] :
      ( ( ( ~ ! [SY527: $i] :
                ( ( v3_struct_0 @ SY527 )
                | ~ ( v10_lattices @ SY527 )
                | ~ ( l3_lattices @ SY527 )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
                | ( v15_lattices @ SV165 ) ) )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9718]) ).

thf(9854,plain,
    ! [SV165: $i] :
      ( ( ( ~ ! [SY528: $i] :
                ( ( v3_struct_0 @ SY528 )
                | ~ ( v10_lattices @ SY528 )
                | ~ ( l3_lattices @ SY528 )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
                | ( v15_lattices @ SY528 ) ) )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9718]) ).

thf(9855,plain,
    ! [SV166: $i] :
      ( ( ( v3_struct_0 @ ( sK68_B @ SV166 ) )
        = $false )
      | ( ( v3_struct_0 @ SV166 )
        = $true )
      | ( ( l1_pre_topc @ SV166 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9720]) ).

thf(9856,plain,
    ! [SV167: $i] :
      ( ( ( ~ ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
              | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) ) )
        = $true )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9721]) ).

thf(9857,plain,
    ! [SV167: $i] :
      ( ( ( v2_pre_topc @ ( sK8_B @ SV167 ) )
        = $true )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9722]) ).

thf(9858,plain,
    ! [SV269: $i] :
      ( ( ( ~ ( v13_lattices @ SV269 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV269 ) )
        = $true )
      | ( ( v1_lattice2 @ SV269 )
        = $true )
      | ( ( v10_lattices @ SV269 )
        = $false )
      | ( ( v3_struct_0 @ SV269 )
        = $true )
      | ( ( l3_lattices @ SV269 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9723]) ).

thf(9859,plain,
    ! [SV331: $i] :
      ( ( ( v10_lattices @ SV331 )
        = $false )
      | ( ( v3_struct_0 @ SV331 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV331 ) )
        = $true )
      | ( ( ~ ( v1_lattice2 @ SV331 )
          | ( v13_lattices @ SV331 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9724]) ).

thf(9860,plain,
    ! [SV332: $i] :
      ( ( ( v10_lattices @ SV332 )
        = $false )
      | ( ( v3_struct_0 @ SV332 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV332 ) )
        = $true )
      | ( ( ~ ( v1_lattice2 @ SV332 )
          | ( v3_filter_0 @ SV332 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9725]) ).

thf(9861,plain,
    ! [SV272: $i] :
      ( ( ( v6_group_1 @ SV272 )
        = $false )
      | ( ( v6_group_1 @ ( k1_lattice2 @ SV272 ) )
        = $true )
      | ( ( v10_lattices @ SV272 )
        = $false )
      | ( ( v3_struct_0 @ SV272 )
        = $true )
      | ( ( l3_lattices @ SV272 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9726]) ).

thf(9862,plain,
    ! [SV273: $i] :
      ( ( ( v6_group_1 @ ( k1_lattice2 @ SV273 ) )
        = $false )
      | ( ( v6_group_1 @ SV273 )
        = $true )
      | ( ( v10_lattices @ SV273 )
        = $false )
      | ( ( v3_struct_0 @ SV273 )
        = $true )
      | ( ( l3_lattices @ SV273 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9727]) ).

thf(9863,plain,
    ! [SV168: $i,SV373: $i] :
      ( ( ( ( v3_struct_0 @ SV373 )
          | ~ ( v10_lattices @ SV373 )
          | ~ ( l3_lattices @ SV373 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV168 )
          | ~ ( v14_lattices @ SV373 )
          | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV373 ) ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9728]) ).

thf(9864,plain,
    ! [SV168: $i] :
      ( ( ( ~ ! [SY530: $i] :
                ( ( v3_struct_0 @ SY530 )
                | ~ ( v10_lattices @ SY530 )
                | ~ ( l3_lattices @ SY530 )
                | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
                | ( v14_lattices @ SV168 ) ) )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9729]) ).

thf(9865,plain,
    ! [SV168: $i] :
      ( ( ( ~ ! [SY531: $i] :
                ( ( v3_struct_0 @ SY531 )
                | ~ ( v10_lattices @ SY531 )
                | ~ ( l3_lattices @ SY531 )
                | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
                | ( v14_lattices @ SY531 ) ) )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9729]) ).

thf(9866,plain,
    ! [SV384: $i,SV374: $i] :
      ( ( ( v3_struct_0 @ SV374 )
        | ~ ( v10_lattices @ SV374 )
        | ~ ( l3_lattices @ SV374 )
        | ~ ( m1_filter_0 @ SV384 @ SV374 )
        | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV374 @ SV384 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9730]) ).

thf(9867,plain,
    ! [SV385: $i,SV375: $i] :
      ( ( ( v3_struct_0 @ SV375 )
        | ~ ( v10_lattices @ SV375 )
        | ~ ( l3_lattices @ SV375 )
        | ~ ( m1_filter_0 @ SV385 @ SV375 )
        | ( v3_lattices @ ( k5_filter_1 @ SV375 @ SV385 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[9731]) ).

thf(9868,plain,
    ! [SV353: $i,SV333: $i] :
      ( ( ( ( v3_struct_0 @ SV333 )
          | ~ ( v10_lattices @ SV333 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV333 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV353 @ SV333 ) )
        = $true )
      | ( ( v10_lattices @ ( k5_filter_1 @ SV333 @ SV353 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9732]) ).

thf(9869,plain,
    ! [SV305: $i,SV276: $i] :
      ( ( ( l3_lattices @ SV276 )
        = $false )
      | ( ( v3_struct_0 @ SV276 )
        = $true )
      | ( ( v10_lattices @ SV276 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV305 @ SV276 ) )
        = $true )
      | ( ( l3_lattices @ ( k5_filter_1 @ SV276 @ SV305 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9733]) ).

thf(9870,plain,
    ! [SV354: $i,SV334: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV334 )
          | ~ ( v2_pre_topc @ SV334 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV354 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV354 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV334 @ SV354 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9734]) ).

thf(9871,plain,
    ! [SV355: $i,SV335: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV335 )
          | ~ ( v2_pre_topc @ SV335 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV355 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV355 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV335 @ SV355 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9735]) ).

thf(9872,plain,
    ! [SV306: $i,SV279: $i] :
      ( ( ( v2_pre_topc @ SV279 )
        = $false )
      | ( ( l1_pre_topc @ SV279 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV306 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV306 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k6_borsuk_1 @ SV279 @ SV306 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9736]) ).

thf(9873,plain,
    ! [SV280: $i] :
      ( ( ( v11_lattices @ SV280 )
        = $false )
      | ( ( v3_struct_0 @ SV280 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV280 ) )
        = $true )
      | ( ( l3_lattices @ SV280 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9737]) ).

thf(9874,plain,
    ! [SV281: $i] :
      ( ( ( v11_lattices @ SV281 )
        = $false )
      | ( ( v3_struct_0 @ SV281 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV281 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV281 ) )
        = $true )
      | ( ( v17_lattices @ SV281 )
        = $true )
      | ( ( l3_lattices @ SV281 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9738]) ).

thf(9875,plain,
    ! [SV336: $i] :
      ( ( ( v2_pre_topc @ SV336 )
        = $false )
      | ( ( v3_struct_0 @ SV336 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV336 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_lopclset @ SV336 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9739]) ).

thf(9876,plain,
    ! [SV337: $i] :
      ( ( ( v2_pre_topc @ SV337 )
        = $false )
      | ( ( v3_struct_0 @ SV337 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV337 ) )
        = $true )
      | ( ( v10_lattices @ ( k6_lopclset @ SV337 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9740]) ).

thf(9877,plain,
    ! [SV338: $i] :
      ( ( ( v1_relat_1 @ SV338 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ SV338 ) )
        = $true )
      | ( ( ~ ( v1_funct_1 @ SV338 ) )
        = $true )
      | ( ( v1_funct_1 @ SV338 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9741]) ).

thf(9878,plain,
    ! [SV339: $i] :
      ( ( ( v1_relat_1 @ SV339 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ SV339 ) )
        = $true )
      | ( ( ~ ( v1_funct_1 @ SV339 ) )
        = $true )
      | ( ( v1_relat_1 @ SV339 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9742]) ).

thf(9879,plain,
    ! [SV340: $i] :
      ( ( ( ( v3_struct_0 @ SV340 )
          | ~ ( v10_lattices @ SV340 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV340 ) )
        = $true )
      | ( ( v3_realset2 @ SV340 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV340 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9744]) ).

thf(9880,plain,
    ! [SV341: $i] :
      ( ( ( ( v3_struct_0 @ SV341 )
          | ~ ( v10_lattices @ SV341 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV341 ) )
        = $true )
      | ( ( v3_realset2 @ SV341 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV341 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV341 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9745]) ).

thf(9881,plain,
    ! [SV284: $i] :
      ( ( ( v17_lattices @ SV284 )
        = $false )
      | ( ( v3_struct_0 @ SV284 )
        = $true )
      | ( ( v10_lattices @ SV284 )
        = $false )
      | ( ( v3_realset2 @ SV284 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV284 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV284 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9746]) ).

thf(9882,plain,
    ! [SV169: $i,SV376: $i] :
      ( ( ( ( v3_struct_0 @ SV376 )
          | ~ ( v10_lattices @ SV376 )
          | ~ ( l3_lattices @ SV376 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV169 )
          | ~ ( v13_lattices @ SV376 )
          | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV376 ) ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9747]) ).

thf(9883,plain,
    ! [SV169: $i] :
      ( ( ( ~ ! [SY533: $i] :
                ( ( v3_struct_0 @ SY533 )
                | ~ ( v10_lattices @ SY533 )
                | ~ ( l3_lattices @ SY533 )
                | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
                | ( v13_lattices @ SV169 ) ) )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9748]) ).

thf(9884,plain,
    ! [SV169: $i] :
      ( ( ( ~ ! [SY534: $i] :
                ( ( v3_struct_0 @ SY534 )
                | ~ ( v10_lattices @ SY534 )
                | ~ ( l3_lattices @ SY534 )
                | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
                | ( v13_lattices @ SY534 ) ) )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9748]) ).

thf(9885,plain,
    ! [SV342: $i] :
      ( ( ( ( v3_struct_0 @ SV342 )
          | ~ ( v10_lattices @ SV342 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV342 ) )
        = $true )
      | ( ( v3_realset2 @ SV342 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV342 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV342 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9749]) ).

thf(9886,plain,
    ! [SV343: $i] :
      ( ( ( ( v3_struct_0 @ SV343 )
          | ~ ( v10_lattices @ SV343 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV343 ) )
        = $true )
      | ( ( v3_realset2 @ SV343 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV343 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV343 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9750]) ).

thf(9887,plain,
    ! [SV287: $i] :
      ( ( ( v17_lattices @ SV287 )
        = $false )
      | ( ( v3_struct_0 @ SV287 )
        = $true )
      | ( ( v10_lattices @ SV287 )
        = $false )
      | ( ( v3_realset2 @ SV287 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV287 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k11_lopclset @ SV287 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9751]) ).

thf(9888,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ~ ( v3_struct_0 @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( l3_lattices @ SX0 )
                  | ( v3_struct_0 @ SX0 )
                  | ~ ( v17_lattices @ SX0 )
                  | ( v11_lattices @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9752]) ).

thf(9889,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v13_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9752]) ).

thf(9890,plain,
    ! [SV377: $i] :
      ( ( ( ~ ( l3_lattices @ SV377 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV377 )
          | ~ ( v17_lattices @ SV377 )
          | ( v14_lattices @ SV377 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9753]) ).

thf(9891,plain,
    ! [SV344: $i] :
      ( ( ( v3_struct_0 @ SV344 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV344 ) )
        = $true )
      | ( ( v15_lattices @ SV344 )
        = $true )
      | ( ( l3_lattices @ SV344 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9754]) ).

thf(9892,plain,
    ! [SV289: $i] :
      ( ( ( v13_lattices @ SV289 )
        = $false )
      | ( ( v14_lattices @ ( k1_lattice2 @ SV289 ) )
        = $true )
      | ( ( v10_lattices @ SV289 )
        = $false )
      | ( ( v3_struct_0 @ SV289 )
        = $true )
      | ( ( l3_lattices @ SV289 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9755]) ).

thf(9893,plain,
    ! [SV290: $i] :
      ( ( ( v14_lattices @ ( k1_lattice2 @ SV290 ) )
        = $false )
      | ( ( v13_lattices @ SV290 )
        = $true )
      | ( ( v10_lattices @ SV290 )
        = $false )
      | ( ( v3_struct_0 @ SV290 )
        = $true )
      | ( ( l3_lattices @ SV290 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9756]) ).

thf(9894,plain,
    ! [SV291: $i] :
      ( ( ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
          | ~ ( ( ( sK11_B @ SV291 )
               != ( sK12_SY394 @ SV291 ) ) ) )
        = $false )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9758]) ).

thf(9895,plain,
    ! [SV292: $i,SV361: $i] :
      ( ( ( m1_subset_1 @ SV361 @ ( u1_struct_0 @ SV292 ) )
        = $false )
      | ( ( ! [SY588: $i] :
              ( ~ ( m1_subset_1 @ SY588 @ ( u1_struct_0 @ SV292 ) )
              | ( SV361 = SY588 ) ) )
        = $true )
      | ( ( v3_realset2 @ SV292 )
        = $false )
      | ( ( l1_struct_0 @ SV292 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9759]) ).

thf(9896,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                  ( ( v3_struct_0 @ SY535 )
                                  | ~ ( v10_lattices @ SY535 )
                                  | ~ ( l3_lattices @ SY535 )
                                  | ( v3_struct_0 @ SV170 )
                                  | ~ ( v10_lattices @ SV170 )
                                  | ~ ( v15_lattices @ SV170 )
                                  | ~ ( v16_lattices @ SV170 )
                                  | ~ ( l3_lattices @ SV170 )
                                  | ( v3_struct_0 @ SY535 )
                                  | ~ ( v10_lattices @ SY535 )
                                  | ~ ( v15_lattices @ SY535 )
                                  | ~ ( v16_lattices @ SY535 )
                                  | ~ ( l3_lattices @ SY535 )
                                  | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                            | ~ ! [SY536: $i] :
                                  ( ( v3_struct_0 @ SY536 )
                                  | ~ ( v10_lattices @ SY536 )
                                  | ~ ( l3_lattices @ SY536 )
                                  | ( v3_struct_0 @ SV170 )
                                  | ~ ( v10_lattices @ SV170 )
                                  | ~ ( v15_lattices @ SV170 )
                                  | ~ ( v16_lattices @ SV170 )
                                  | ~ ( l3_lattices @ SV170 )
                                  | ( v3_struct_0 @ SY536 )
                                  | ~ ( v10_lattices @ SY536 )
                                  | ~ ( v15_lattices @ SY536 )
                                  | ~ ( v16_lattices @ SY536 )
                                  | ~ ( l3_lattices @ SY536 )
                                  | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                      | ~ ! [SY537: $i] :
                            ( ( v3_struct_0 @ SY537 )
                            | ~ ( v10_lattices @ SY537 )
                            | ~ ( l3_lattices @ SY537 )
                            | ( v3_struct_0 @ SV170 )
                            | ~ ( v10_lattices @ SV170 )
                            | ~ ( v15_lattices @ SV170 )
                            | ~ ( v16_lattices @ SV170 )
                            | ~ ( l3_lattices @ SV170 )
                            | ( v3_struct_0 @ SY537 )
                            | ~ ( v10_lattices @ SY537 )
                            | ~ ( v15_lattices @ SY537 )
                            | ~ ( v16_lattices @ SY537 )
                            | ~ ( l3_lattices @ SY537 )
                            | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
                | ~ ! [SY538: $i] :
                      ( ( v3_struct_0 @ SY538 )
                      | ~ ( v10_lattices @ SY538 )
                      | ~ ( l3_lattices @ SY538 )
                      | ( v3_struct_0 @ SV170 )
                      | ~ ( v10_lattices @ SV170 )
                      | ~ ( v15_lattices @ SV170 )
                      | ~ ( v16_lattices @ SV170 )
                      | ~ ( l3_lattices @ SV170 )
                      | ( v3_struct_0 @ SY538 )
                      | ~ ( v10_lattices @ SY538 )
                      | ~ ( v15_lattices @ SY538 )
                      | ~ ( v16_lattices @ SY538 )
                      | ~ ( l3_lattices @ SY538 )
                      | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9760]) ).

thf(9897,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY539: $i] :
                ( ( v3_struct_0 @ SY539 )
                | ~ ( v10_lattices @ SY539 )
                | ~ ( l3_lattices @ SY539 )
                | ( v3_struct_0 @ SV170 )
                | ~ ( v10_lattices @ SV170 )
                | ~ ( v15_lattices @ SV170 )
                | ~ ( v16_lattices @ SV170 )
                | ~ ( l3_lattices @ SV170 )
                | ( v3_struct_0 @ SY539 )
                | ~ ( v10_lattices @ SY539 )
                | ~ ( v15_lattices @ SY539 )
                | ~ ( v16_lattices @ SY539 )
                | ~ ( l3_lattices @ SY539 )
                | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9760]) ).

thf(9898,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                                ( ( v3_struct_0 @ SY540 )
                                                                | ~ ( v10_lattices @ SY540 )
                                                                | ~ ( l3_lattices @ SY540 )
                                                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                                | ~ ( v3_struct_0 @ SV170 ) )
                                                          | ~ ! [SY541: $i] :
                                                                ( ( v3_struct_0 @ SY541 )
                                                                | ~ ( v10_lattices @ SY541 )
                                                                | ~ ( l3_lattices @ SY541 )
                                                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                                | ( v10_lattices @ SV170 ) ) )
                                                    | ~ ! [SY542: $i] :
                                                          ( ( v3_struct_0 @ SY542 )
                                                          | ~ ( v10_lattices @ SY542 )
                                                          | ~ ( l3_lattices @ SY542 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                          | ( v15_lattices @ SV170 ) ) )
                                              | ~ ! [SY543: $i] :
                                                    ( ( v3_struct_0 @ SY543 )
                                                    | ~ ( v10_lattices @ SY543 )
                                                    | ~ ( l3_lattices @ SY543 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                    | ( v16_lattices @ SV170 ) ) )
                                        | ~ ! [SY544: $i] :
                                              ( ( v3_struct_0 @ SY544 )
                                              | ~ ( v10_lattices @ SY544 )
                                              | ~ ( l3_lattices @ SY544 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                              | ( l3_lattices @ SV170 ) ) )
                                  | ~ ! [SY545: $i] :
                                        ( ( v3_struct_0 @ SY545 )
                                        | ~ ( v10_lattices @ SY545 )
                                        | ~ ( l3_lattices @ SY545 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                        | ~ ( v3_struct_0 @ SY545 ) ) )
                            | ~ ! [SY546: $i] :
                                  ( ( v3_struct_0 @ SY546 )
                                  | ~ ( v10_lattices @ SY546 )
                                  | ~ ( l3_lattices @ SY546 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                  | ( v10_lattices @ SY546 ) ) )
                      | ~ ! [SY547: $i] :
                            ( ( v3_struct_0 @ SY547 )
                            | ~ ( v10_lattices @ SY547 )
                            | ~ ( l3_lattices @ SY547 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                            | ( v15_lattices @ SY547 ) ) )
                | ~ ! [SY548: $i] :
                      ( ( v3_struct_0 @ SY548 )
                      | ~ ( v10_lattices @ SY548 )
                      | ~ ( l3_lattices @ SY548 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                      | ( v16_lattices @ SY548 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9761]) ).

thf(9899,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY549: $i] :
                ( ( v3_struct_0 @ SY549 )
                | ~ ( v10_lattices @ SY549 )
                | ~ ( l3_lattices @ SY549 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
                | ( l3_lattices @ SY549 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9761]) ).

thf(9900,plain,
    ! [SV293: $i] :
      ( ( ( v15_lattices @ SV293 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV293 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV293 ) )
        = $true )
      | ( ( v17_lattices @ SV293 )
        = $true )
      | ( ( v3_struct_0 @ SV293 )
        = $true )
      | ( ( l3_lattices @ SV293 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9762]) ).

thf(9901,plain,
    ! [SV378: $i] :
      ( ( ( ( v3_struct_0 @ SV378 )
          | ~ ( l3_lattices @ SV378 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV378 )
          | ( v15_lattices @ SV378 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9763]) ).

thf(9902,plain,
    ! [SV379: $i] :
      ( ( ( ( v3_struct_0 @ SV379 )
          | ~ ( l3_lattices @ SV379 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV379 )
          | ( v16_lattices @ SV379 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9764]) ).

thf(9903,plain,
    ! [SV345: $i] :
      ( ( ( ~ ( v17_lattices @ SV345 ) )
        = $true )
      | ( ( v11_lattices @ SV345 )
        = $true )
      | ( ( v3_struct_0 @ SV345 )
        = $true )
      | ( ( l3_lattices @ SV345 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9765]) ).

thf(9904,plain,
    ! [SV356: $i,SV346: $i] :
      ( ( ( ( v3_struct_0 @ SV346 )
          | ~ ( v10_lattices @ SV346 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV346 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV356 @ SV346 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_0 @ SV346 @ SV356 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9767]) ).

thf(9905,plain,
    ! [SV357: $i,SV347: $i] :
      ( ( ( ( v3_struct_0 @ SV347 )
          | ~ ( v10_lattices @ SV347 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV347 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV357 @ SV347 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_0 @ SV347 @ SV357 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9768]) ).

thf(9906,plain,
    ! [SV309: $i,SV296: $i] :
      ( ( ( l3_lattices @ SV296 )
        = $false )
      | ( ( v3_struct_0 @ SV296 )
        = $true )
      | ( ( v10_lattices @ SV296 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV309 @ SV296 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_0 @ SV296 @ SV309 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9769]) ).

thf(9907,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9771]) ).

thf(9908,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( v11_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9771]) ).

thf(9909,plain,
    ! [SV380: $i] :
      ( ( ( ( v3_struct_0 @ SV380 )
          | ~ ( v10_lattices @ SV380 )
          | ~ ( l3_lattices @ SV380 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV380 )
          | ~ ( v10_lattices @ SV380 )
          | ~ ( v11_lattices @ SV380 )
          | ~ ( l3_lattices @ SV380 )
          | ( v11_lattices @ ( k1_lattice2 @ SV380 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9772]) ).

thf(9910,plain,
    ! [SV348: $i] :
      ( ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV348 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV348 )
          | ~ ( v10_lattices @ SV348 )
          | ~ ( v11_lattices @ SV348 )
          | ~ ( l3_lattices @ SV348 )
          | ( l3_lattices @ ( k1_lattice2 @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9773]) ).

thf(9911,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v3_struct_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9774]) ).

thf(9912,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( v3_struct_0 @ SX0 )
            | ~ ( v10_lattices @ SX0 )
            | ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
            | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
            | ( v10_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9774]) ).

thf(9913,plain,
    ! [SV381: $i] :
      ( ( ( ( v3_struct_0 @ SV381 )
          | ~ ( v10_lattices @ SV381 )
          | ~ ( l3_lattices @ SV381 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) )
          | ( v11_lattices @ SV381 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9775]) ).

thf(9914,plain,
    ! [SV349: $i] :
      ( ( ( v10_lattices @ SV349 )
        = $false )
      | ( ( v3_struct_0 @ SV349 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV349 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) )
          | ( l3_lattices @ SV349 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9776]) ).

thf(9915,plain,
    ! [SV210: $i,SV172: $i,SV22: $i] :
      ( ( ( l3_lattices @ SV22 )
        = $false )
      | ( ( v10_lattices @ SV22 )
        = $false )
      | ( ( v3_struct_0 @ SV22 )
        = $true )
      | ( ( v17_lattices @ SV22 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV172 @ SV22 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV210 @ SV22 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9777]) ).

thf(9916,plain,
    ! [SV24: $i,SV312: $i] :
      ( ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( ! [SY577: $i] :
              ( ( v3_struct_0 @ SY577 )
              | ~ ( v10_lattices @ SY577 )
              | ~ ( l3_lattices @ SY577 )
              | ~ ( r1_filter_1 @ SV24 @ SV312 )
              | ~ ( r1_filter_1 @ SV312 @ SY577 )
              | ( r1_filter_1 @ SV24 @ SY577 ) ) )
        = $true )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9778]) ).

thf(9917,plain,
    ! [SV25: $i,SV313: $i] :
      ( ( ( l3_lattices @ SV313 )
        = $false )
      | ( ( v3_struct_0 @ SV313 )
        = $true )
      | ( ( v10_lattices @ SV313 )
        = $false )
      | ( ( ( k1_lattice2 @ ( k8_filter_1 @ SV25 @ SV313 ) )
          = ( k8_filter_1 @ ( k1_lattice2 @ SV25 ) @ ( k1_lattice2 @ SV313 ) ) )
        = $true )
      | ( ( v10_lattices @ SV25 )
        = $false )
      | ( ( v3_struct_0 @ SV25 )
        = $true )
      | ( ( l3_lattices @ SV25 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9779]) ).

thf(9918,plain,
    ! [SV26: $i,SV314: $i] :
      ( ( ( l3_lattices @ SV314 )
        = $false )
      | ( ( v3_struct_0 @ SV314 )
        = $true )
      | ( ( v10_lattices @ SV314 )
        = $false )
      | ( ( r1_filter_1 @ ( k8_filter_1 @ SV26 @ SV314 ) @ ( k8_filter_1 @ SV314 @ SV26 ) )
        = $true )
      | ( ( v10_lattices @ SV26 )
        = $false )
      | ( ( v3_struct_0 @ SV26 )
        = $true )
      | ( ( l3_lattices @ SV26 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9780]) ).

thf(9919,plain,
    ! [SV27: $i,SV173: $i] :
      ( ( ( l3_lattices @ SV173 )
        = $false )
      | ( ( l3_lattices @ SV27 )
        = $false )
      | ( ( v3_struct_0 @ SV27 )
        = $true )
      | ( ( v10_lattices @ SV27 )
        = $false )
      | ( ( v3_struct_0 @ SV173 )
        = $true )
      | ( ( v10_lattices @ SV173 )
        = $false )
      | ( ( ~ ( r1_filter_1 @ SV27 @ SV173 )
          | ( r1_filter_1 @ SV173 @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9781]) ).

thf(9920,plain,
    ! [SV28: $i,SV211: $i] :
      ( ( ( l3_lattices @ SV211 )
        = $false )
      | ( ( l3_lattices @ SV28 )
        = $false )
      | ( ( v3_struct_0 @ SV28 )
        = $true )
      | ( ( v10_lattices @ SV28 )
        = $false )
      | ( ( v3_struct_0 @ SV211 )
        = $true )
      | ( ( v10_lattices @ SV211 )
        = $false )
      | ( ( r1_filter_1 @ SV28 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9782]) ).

thf(9921,plain,
    ! [SV174: $i,SV29: $i,SV212: $i] :
      ( ( ( m1_filter_0 @ SV212 @ SV29 )
        = $false )
      | ( ( l3_lattices @ SV29 )
        = $false )
      | ( ( v3_struct_0 @ SV29 )
        = $true )
      | ( ( v10_lattices @ SV29 )
        = $false )
      | ( ( m1_filter_0 @ SV174 @ SV29 )
        = $false )
      | ( ( m1_filter_0 @ ( k1_filter_1 @ SV29 @ SV174 @ SV212 ) @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9783]) ).

thf(9922,plain,
    ! [SV175: $i,SV30: $i,SV213: $i] :
      ( ( ( m1_filter_0 @ SV213 @ SV30 )
        = $false )
      | ( ( l3_lattices @ SV30 )
        = $false )
      | ( ( v3_struct_0 @ SV30 )
        = $true )
      | ( ( v10_lattices @ SV30 )
        = $false )
      | ( ( m1_filter_0 @ SV175 @ SV30 )
        = $false )
      | ( ( ( k1_filter_1 @ SV30 @ SV175 @ SV213 )
          = ( k1_filter_1 @ SV30 @ SV213 @ SV175 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9784]) ).

thf(9923,plain,
    ! [SV176: $i,SV31: $i,SV382: $i] :
      ( ( ( m1_filter_0 @ SV382 @ SV31 )
        = $false )
      | ( ( l3_lattices @ SV31 )
        = $false )
      | ( ( v3_struct_0 @ SV31 )
        = $true )
      | ( ( v10_lattices @ SV31 )
        = $false )
      | ( ( m1_filter_0 @ SV176 @ SV31 )
        = $false )
      | ( ( ( k1_filter_1 @ SV31 @ SV176 @ SV176 )
          = SV176 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9785]) ).

thf(9924,plain,
    ! [SV41: $i,SV177: $i] :
      ( ( ( l3_lattices @ SV177 )
        = $false )
      | ( ( l3_lattices @ SV41 )
        = $false )
      | ( ( v3_struct_0 @ SV41 )
        = $true )
      | ( ( v10_lattices @ SV41 )
        = $false )
      | ( ( v3_struct_0 @ SV177 )
        = $true )
      | ( ( v10_lattices @ SV177 )
        = $false )
      | ( ( m1_lattice4 @ ( sK51_C @ SV177 @ SV41 ) @ SV41 @ SV177 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9787]) ).

thf(9925,plain,
    ! [SV359: $i,SV122: $i,SV386: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV386 @ SV122 )
          | ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SV359 @ SV386 ) )
            = ( k7_filter_0 @ SV122 @ SV359 @ SV386 ) ) )
        = $true )
      | ( ( m1_filter_0 @ SV359 @ SV122 )
        = $false )
      | ( ( v17_lattices @ SV122 )
        = $false )
      | ( ( v3_struct_0 @ SV122 )
        = $true )
      | ( ( v10_lattices @ SV122 )
        = $false )
      | ( ( l3_lattices @ SV122 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9788]) ).

thf(9926,plain,
    ! [SV320: $i,SV127: $i] :
      ( ( ( ( v3_struct_0 @ SV127 )
          | ~ ( v10_lattices @ SV127 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV127 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV127 ) )
        = $true )
      | ( ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SV320 ) )
        = $true )
      | ( ( m1_filter_0 @ SV320 @ SV127 )
        = $false )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( l3_lattices @ SV127 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9792]) ).

thf(9927,plain,
    ! [SV219: $i,SV201: $i,SV128: $i] :
      ( ( ( l3_lattices @ SV128 )
        = $false )
      | ( ( v10_lattices @ SV128 )
        = $false )
      | ( ( v3_struct_0 @ SV128 )
        = $true )
      | ( ( v11_lattices @ SV128 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV201 @ SV128 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV219 @ SV128 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9793]) ).

thf(9928,plain,
    ! [SV220: $i,SV202: $i,SV129: $i] :
      ( ( ( l3_lattices @ SV129 )
        = $false )
      | ( ( v10_lattices @ SV129 )
        = $false )
      | ( ( v3_struct_0 @ SV129 )
        = $true )
      | ( ( v17_lattices @ SV129 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV202 @ SV129 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV220 @ SV129 ) )
        = $true )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9794]) ).

thf(9929,plain,
    ! [SV321: $i,SV131: $i,SV363: $i] :
      ( ( ( m1_filter_0 @ SV363 @ SV131 )
        = $false )
      | ( ( m1_filter_0 @ ( k5_subset_1 @ ( u1_struct_0 @ SV131 ) @ SV321 @ SV363 ) @ SV131 )
        = $true )
      | ( ( m1_filter_0 @ SV321 @ SV131 )
        = $false )
      | ( ( v10_lattices @ SV131 )
        = $false )
      | ( ( v3_struct_0 @ SV131 )
        = $true )
      | ( ( l3_lattices @ SV131 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9795]) ).

thf(9930,plain,
    ! [SV206: $i,SV135: $i,SV221: $i] :
      ( ( ( m1_filter_0 @ SV221 @ SV135 )
        = $false )
      | ( ( l3_lattices @ SV135 )
        = $false )
      | ( ( v3_struct_0 @ SV135 )
        = $true )
      | ( ( v10_lattices @ SV135 )
        = $false )
      | ( ( m1_filter_0 @ SV206 @ SV135 )
        = $false )
      | ( ( ( k1_filter_1 @ SV135 @ SV206 @ SV221 )
          = ( k3_xboole_0 @ SV206 @ SV221 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9797]) ).

thf(9931,plain,
    ! [SV140: $i,SV322: $i] :
      ( ( ( v10_lattices @ SV322 )
        = $false )
      | ( ( v3_struct_0 @ SV322 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV322 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV322 ) )
        = $true )
      | ( ( ! [SY579: $i] :
              ( ~ ( m1_lattice4 @ SY579 @ SV322 @ SV140 )
              | ~ ( v2_lattice4 @ SY579 @ SV322 @ SV140 )
              | ( v11_lattices @ SV140 ) ) )
        = $true )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9798]) ).

thf(9932,plain,
    ! [SV151: $i,SV364: $i] :
      ( ( ( ( v3_struct_0 @ SV364 )
          | ~ ( v10_lattices @ SV364 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV364 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ SV151 )
          | ~ ( v12_lattices @ SV364 )
          | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV364 ) ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9799]) ).

thf(9933,plain,
    ! [SV151: $i] :
      ( ( ( ! [SY476: $i] :
              ( ( v3_struct_0 @ SY476 )
              | ~ ( v10_lattices @ SY476 )
              | ~ ( l3_lattices @ SY476 )
              | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY476 ) )
              | ( v12_lattices @ SV151 ) ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9800]) ).

thf(9934,plain,
    ! [SV151: $i] :
      ( ( ( ! [SY477: $i] :
              ( ( v3_struct_0 @ SY477 )
              | ~ ( v10_lattices @ SY477 )
              | ~ ( l3_lattices @ SY477 )
              | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SY477 ) )
              | ( v12_lattices @ SY477 ) ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9801]) ).

thf(9935,plain,
    ! [SV152: $i,SV365: $i] :
      ( ( ( ( v3_struct_0 @ SV365 )
          | ~ ( v10_lattices @ SV365 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV365 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV152 @ SV365 )
          | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV365 ) ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9802]) ).

thf(9936,plain,
    ! [SV152: $i,SV366: $i] :
      ( ( ( ( v3_struct_0 @ SV366 )
          | ~ ( v10_lattices @ SV366 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV366 ) )
        = $true )
      | ( ( ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV366 ) )
          | ( r1_filter_1 @ SV152 @ SV366 ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9803]) ).

thf(9937,plain,
    ! [SV153: $i,SV367: $i] :
      ( ( ( m1_borsuk_1 @ SV367 @ SV153 )
        = $false )
      | ( ( ~ ( v1_xboole_0 @ SV367 ) )
        = $true )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9804]) ).

thf(9938,plain,
    ! [SV153: $i,SV368: $i] :
      ( ( ( m1_borsuk_1 @ SV368 @ SV153 )
        = $false )
      | ( ( m1_eqrel_1 @ SV368 @ ( u1_struct_0 @ SV153 ) )
        = $true )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9805]) ).

thf(9939,plain,
    ! [SV323: $i] :
      ( ( ( v3_struct_0 @ SV323 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV323 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV323 ) )
        = $true )
      | ( ( v3_realset2 @ SV323 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV323 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV323 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9806]) ).

thf(9940,plain,
    ! [SV324: $i] :
      ( ( ( v3_struct_0 @ SV324 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV324 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV324 ) )
        = $true )
      | ( ( v3_realset2 @ SV324 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV324 ) )
        = $true )
      | ( ( v10_lattices @ ( k12_lopclset @ SV324 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9807]) ).

thf(9941,plain,
    ! [SV231: $i] :
      ( ( ( l3_lattices @ SV231 )
        = $false )
      | ( ( v3_realset2 @ SV231 )
        = $true )
      | ( ( v10_lattices @ SV231 )
        = $false )
      | ( ( v3_struct_0 @ SV231 )
        = $true )
      | ( ( v17_lattices @ SV231 )
        = $false )
      | ( ( l3_lattices @ ( k12_lopclset @ SV231 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9808]) ).

thf(9942,plain,
    ! [SV350: $i,SV325: $i] :
      ( ( ( ( v3_struct_0 @ SV325 )
          | ~ ( v2_pre_topc @ SV325 )
          | ~ ( l1_pre_topc @ SV325 ) )
        = $true )
      | ( ( v3_struct_0 @ SV350 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9809]) ).

thf(9943,plain,
    ! [SV351: $i,SV326: $i] :
      ( ( ( ( v3_struct_0 @ SV326 )
          | ~ ( v2_pre_topc @ SV326 )
          | ~ ( l1_pre_topc @ SV326 ) )
        = $true )
      | ( ( v3_struct_0 @ SV351 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV351 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV351 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9810]) ).

thf(9944,plain,
    ! [SV298: $i,SV234: $i] :
      ( ( ( v2_pre_topc @ SV234 )
        = $false )
      | ( ( v3_struct_0 @ SV234 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV234 ) )
        = $true )
      | ( ( v3_struct_0 @ SV298 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV298 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV298 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9811]) ).

thf(9945,plain,
    ! [SV156: $i,SV369: $i] :
      ( ( ( ( v3_struct_0 @ SV369 )
          | ~ ( v10_lattices @ SV369 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV369 ) )
        = $true )
      | ( ( ! [SY589: $i] :
              ( ~ ( m1_lattice4 @ SY589 @ SV156 @ SV369 )
              | ~ ( v3_lattice4 @ SY589 @ SV156 @ SV369 ) )
          | ( r1_filter_1 @ SV156 @ SV369 ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9814]) ).

thf(9946,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( ( v3_struct_0 @ SV370 )
          | ~ ( v10_lattices @ SV370 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV370 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV156 @ SV370 )
          | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
              | ~ ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9815]) ).

thf(9947,plain,
    ! [SV327: $i] :
      ( ( ( v15_lattices @ SV327 )
        = $false )
      | ( ( v3_struct_0 @ SV327 )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV327 ) )
        = $true )
      | ( ( l3_lattices @ SV327 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9816]) ).

thf(9948,plain,
    ! [SV328: $i] :
      ( ( ( v15_lattices @ SV328 )
        = $false )
      | ( ( v3_struct_0 @ SV328 )
        = $true )
      | ( ( v13_lattices @ SV328 )
        = $true )
      | ( ( l3_lattices @ SV328 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9817]) ).

thf(9949,plain,
    ! [SV157: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ! [SY485: $i] :
                          ( ( v3_struct_0 @ SY485 )
                          | ~ ( v10_lattices @ SY485 )
                          | ~ ( l3_lattices @ SY485 )
                          | ( v3_struct_0 @ SV157 )
                          | ~ ( v10_lattices @ SV157 )
                          | ~ ( v17_lattices @ SV157 )
                          | ~ ( l3_lattices @ SV157 )
                          | ( v3_struct_0 @ SY485 )
                          | ~ ( v10_lattices @ SY485 )
                          | ~ ( v17_lattices @ SY485 )
                          | ~ ( l3_lattices @ SY485 )
                          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                    | ~ ! [SY486: $i] :
                          ( ( v3_struct_0 @ SY486 )
                          | ~ ( v10_lattices @ SY486 )
                          | ~ ( l3_lattices @ SY486 )
                          | ( v3_struct_0 @ SV157 )
                          | ~ ( v10_lattices @ SV157 )
                          | ~ ( v17_lattices @ SV157 )
                          | ~ ( l3_lattices @ SV157 )
                          | ( v3_struct_0 @ SY486 )
                          | ~ ( v10_lattices @ SY486 )
                          | ~ ( v17_lattices @ SY486 )
                          | ~ ( l3_lattices @ SY486 )
                          | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
              | ~ ! [SY487: $i] :
                    ( ( v3_struct_0 @ SY487 )
                    | ~ ( v10_lattices @ SY487 )
                    | ~ ( l3_lattices @ SY487 )
                    | ( v3_struct_0 @ SV157 )
                    | ~ ( v10_lattices @ SV157 )
                    | ~ ( v17_lattices @ SV157 )
                    | ~ ( l3_lattices @ SV157 )
                    | ( v3_struct_0 @ SY487 )
                    | ~ ( v10_lattices @ SY487 )
                    | ~ ( v17_lattices @ SY487 )
                    | ~ ( l3_lattices @ SY487 )
                    | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9818]) ).

thf(9950,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY488: $i] :
              ( ( v3_struct_0 @ SY488 )
              | ~ ( v10_lattices @ SY488 )
              | ~ ( l3_lattices @ SY488 )
              | ( v3_struct_0 @ SV157 )
              | ~ ( v10_lattices @ SV157 )
              | ~ ( v17_lattices @ SV157 )
              | ~ ( l3_lattices @ SV157 )
              | ( v3_struct_0 @ SY488 )
              | ~ ( v10_lattices @ SY488 )
              | ~ ( v17_lattices @ SY488 )
              | ~ ( l3_lattices @ SY488 )
              | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY488 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9819]) ).

thf(9951,plain,
    ! [SV157: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                                  ( ( v3_struct_0 @ SY489 )
                                                  | ~ ( v10_lattices @ SY489 )
                                                  | ~ ( l3_lattices @ SY489 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                                  | ~ ( v3_struct_0 @ SV157 ) )
                                            | ~ ! [SY490: $i] :
                                                  ( ( v3_struct_0 @ SY490 )
                                                  | ~ ( v10_lattices @ SY490 )
                                                  | ~ ( l3_lattices @ SY490 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                                  | ( v10_lattices @ SV157 ) ) )
                                      | ~ ! [SY491: $i] :
                                            ( ( v3_struct_0 @ SY491 )
                                            | ~ ( v10_lattices @ SY491 )
                                            | ~ ( l3_lattices @ SY491 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                            | ( v17_lattices @ SV157 ) ) )
                                | ~ ! [SY492: $i] :
                                      ( ( v3_struct_0 @ SY492 )
                                      | ~ ( v10_lattices @ SY492 )
                                      | ~ ( l3_lattices @ SY492 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                      | ( l3_lattices @ SV157 ) ) )
                          | ~ ! [SY493: $i] :
                                ( ( v3_struct_0 @ SY493 )
                                | ~ ( v10_lattices @ SY493 )
                                | ~ ( l3_lattices @ SY493 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                                | ~ ( v3_struct_0 @ SY493 ) ) )
                    | ~ ! [SY494: $i] :
                          ( ( v3_struct_0 @ SY494 )
                          | ~ ( v10_lattices @ SY494 )
                          | ~ ( l3_lattices @ SY494 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                          | ( v10_lattices @ SY494 ) ) )
              | ~ ! [SY495: $i] :
                    ( ( v3_struct_0 @ SY495 )
                    | ~ ( v10_lattices @ SY495 )
                    | ~ ( l3_lattices @ SY495 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                    | ( v17_lattices @ SY495 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9820]) ).

thf(9952,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY496: $i] :
              ( ( v3_struct_0 @ SY496 )
              | ~ ( v10_lattices @ SY496 )
              | ~ ( l3_lattices @ SY496 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY496 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY496 ) )
              | ( l3_lattices @ SY496 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9821]) ).

thf(9953,plain,
    ! [SV158: $i,SV371: $i] :
      ( ( ( ( v3_struct_0 @ SV371 )
          | ~ ( v10_lattices @ SV371 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV371 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV158 )
          | ~ ( v3_filter_0 @ SV371 )
          | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV371 ) ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9822]) ).

thf(9954,plain,
    ! [SV158: $i] :
      ( ( ( ! [SY498: $i] :
              ( ( v3_struct_0 @ SY498 )
              | ~ ( v10_lattices @ SY498 )
              | ~ ( l3_lattices @ SY498 )
              | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY498 ) )
              | ( v3_filter_0 @ SV158 ) ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9823]) ).

thf(9955,plain,
    ! [SV158: $i] :
      ( ( ( ! [SY499: $i] :
              ( ( v3_struct_0 @ SY499 )
              | ~ ( v10_lattices @ SY499 )
              | ~ ( l3_lattices @ SY499 )
              | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SY499 ) )
              | ( v3_filter_0 @ SY499 ) ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9824]) ).

thf(9956,plain,
    ! [SV301: $i,SV244: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV244 @ SV301 ) )
        = $false )
      | ( ( l3_lattices @ SV244 )
        = $false )
      | ( ( v3_struct_0 @ SV244 )
        = $true )
      | ( ( v3_struct_0 @ SV301 )
        = $true )
      | ( ( l3_lattices @ SV301 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9826]) ).

thf(9957,plain,
    ! [SV160: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY501: $i] :
                            ( ( v3_struct_0 @ SY501 )
                            | ~ ( l3_lattices @ SY501 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                            | ~ ( v3_struct_0 @ SV160 ) )
                      | ~ ! [SY502: $i] :
                            ( ( v3_struct_0 @ SY502 )
                            | ~ ( l3_lattices @ SY502 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                            | ( v10_lattices @ SV160 ) ) )
                | ~ ! [SY503: $i] :
                      ( ( v3_struct_0 @ SY503 )
                      | ~ ( l3_lattices @ SY503 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                      | ( l3_lattices @ SV160 ) ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9828]) ).

thf(9958,plain,
    ! [SV160: $i] :
      ( ( ( ~ ! [SY504: $i] :
                ( ( v3_struct_0 @ SY504 )
                | ~ ( l3_lattices @ SY504 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
                | ~ ( v3_struct_0 @ SY504 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9828]) ).

thf(9959,plain,
    ! [SV160: $i,SV383: $i] :
      ( ( ( ( v3_struct_0 @ SV383 )
          | ~ ( l3_lattices @ SV383 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ( v10_lattices @ SV383 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9829]) ).

thf(9960,plain,
    ! [SV352: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) ) )
        = $true )
      | ( ( l3_lattices @ SV352 )
        = $true )
      | ( ( v3_struct_0 @ SV352 )
        = $true )
      | ( ( l3_lattices @ SV352 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9830]) ).

thf(9961,plain,
    ! [SV161: $i,SV387: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV387 @ SV161 )
          | ( SV387
            = ( k1_filter_0 @ SV161 ) )
          | ~ ( v2_filter_0 @ SV387 @ SV161 )
          | ( v1_filter_0 @ SV387 @ SV161 ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9833]) ).

thf(9962,plain,
    ! [SV161: $i] :
      ( ( ( ~ ! [SY508: $i] :
                ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                | ~ ( v1_filter_0 @ SY508 @ SV161 )
                | ( SY508
                 != ( k1_filter_0 @ SV161 ) ) )
          | ~ ! [SY509: $i] :
                ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                | ~ ( v1_filter_0 @ SY509 @ SV161 )
                | ( v2_filter_0 @ SY509 @ SV161 ) ) )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9834]) ).

thf(9963,plain,
    ! [SV254: $i] :
      ( ( ( v3_struct_0 @ SV254 )
        = $false )
      | ( ( v13_lattices @ SV254 )
        = $false )
      | ( ( v3_struct_0 @ SV254 )
        = $true )
      | ( ( v14_lattices @ SV254 )
        = $false )
      | ( ( l3_lattices @ SV254 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9835]) ).

thf(9964,plain,
    ! [SV329: $i] :
      ( ( ( v15_lattices @ SV329 )
        = $false )
      | ( ( v13_lattices @ SV329 )
        = $true )
      | ( ( v3_struct_0 @ SV329 )
        = $true )
      | ( ( l3_lattices @ SV329 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9840]) ).

thf(9965,plain,
    ! [SV330: $i] :
      ( ( ( v15_lattices @ SV330 )
        = $false )
      | ( ( v14_lattices @ SV330 )
        = $true )
      | ( ( v3_struct_0 @ SV330 )
        = $true )
      | ( ( l3_lattices @ SV330 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9841]) ).

thf(9966,plain,
    ! [SV162: $i] :
      ( ( ( ~ ~ ( ~ ! [SY510: $i] :
                      ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                      | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                | ~ ! [SY511: $i] :
                      ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                      | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
          | ~ ! [SY512: $i] :
                ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9842]) ).

thf(9967,plain,
    ! [SV162: $i,SV388: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV388 @ SV162 )
          | ( l3_lattices @ ( k5_filter_1 @ SV162 @ SV388 ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9843]) ).

thf(9968,plain,
    ! [SV163: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                    | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
              | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) ) )
        = $true )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9844]) ).

thf(9969,plain,
    ! [SV163: $i] :
      ( ( ( v2_pre_topc @ ( sK7_B @ SV163 ) )
        = $true )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9845]) ).

thf(9970,plain,
    ! [SV261: $i] :
      ( ( ( l3_lattices @ SV261 )
        = $false )
      | ( ( v3_realset2 @ SV261 )
        = $true )
      | ( ( v10_lattices @ SV261 )
        = $false )
      | ( ( v3_struct_0 @ SV261 )
        = $true )
      | ( ( v17_lattices @ SV261 )
        = $false )
      | ( ( v1_funct_1 @ ( k8_lopclset @ SV261 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9846]) ).

thf(9971,plain,
    ! [SV262: $i] :
      ( ( ( l3_lattices @ SV262 )
        = $false )
      | ( ( v3_realset2 @ SV262 )
        = $true )
      | ( ( v10_lattices @ SV262 )
        = $false )
      | ( ( v3_struct_0 @ SV262 )
        = $true )
      | ( ( v17_lattices @ SV262 )
        = $false )
      | ( ( v1_relat_1 @ ( k8_lopclset @ SV262 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9847]) ).

thf(9972,plain,
    ! [SV164: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ! [SY514: $i] :
                          ( ( v3_struct_0 @ SY514 )
                          | ~ ( v10_lattices @ SY514 )
                          | ~ ( l3_lattices @ SY514 )
                          | ( v3_struct_0 @ SV164 )
                          | ~ ( v10_lattices @ SV164 )
                          | ~ ( v11_lattices @ SV164 )
                          | ~ ( l3_lattices @ SV164 )
                          | ( v3_struct_0 @ SY514 )
                          | ~ ( v10_lattices @ SY514 )
                          | ~ ( v11_lattices @ SY514 )
                          | ~ ( l3_lattices @ SY514 )
                          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                    | ~ ! [SY515: $i] :
                          ( ( v3_struct_0 @ SY515 )
                          | ~ ( v10_lattices @ SY515 )
                          | ~ ( l3_lattices @ SY515 )
                          | ( v3_struct_0 @ SV164 )
                          | ~ ( v10_lattices @ SV164 )
                          | ~ ( v11_lattices @ SV164 )
                          | ~ ( l3_lattices @ SV164 )
                          | ( v3_struct_0 @ SY515 )
                          | ~ ( v10_lattices @ SY515 )
                          | ~ ( v11_lattices @ SY515 )
                          | ~ ( l3_lattices @ SY515 )
                          | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
              | ~ ! [SY516: $i] :
                    ( ( v3_struct_0 @ SY516 )
                    | ~ ( v10_lattices @ SY516 )
                    | ~ ( l3_lattices @ SY516 )
                    | ( v3_struct_0 @ SV164 )
                    | ~ ( v10_lattices @ SV164 )
                    | ~ ( v11_lattices @ SV164 )
                    | ~ ( l3_lattices @ SV164 )
                    | ( v3_struct_0 @ SY516 )
                    | ~ ( v10_lattices @ SY516 )
                    | ~ ( v11_lattices @ SY516 )
                    | ~ ( l3_lattices @ SY516 )
                    | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9848]) ).

thf(9973,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY517: $i] :
              ( ( v3_struct_0 @ SY517 )
              | ~ ( v10_lattices @ SY517 )
              | ~ ( l3_lattices @ SY517 )
              | ( v3_struct_0 @ SV164 )
              | ~ ( v10_lattices @ SV164 )
              | ~ ( v11_lattices @ SV164 )
              | ~ ( l3_lattices @ SV164 )
              | ( v3_struct_0 @ SY517 )
              | ~ ( v10_lattices @ SY517 )
              | ~ ( v11_lattices @ SY517 )
              | ~ ( l3_lattices @ SY517 )
              | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY517 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9849]) ).

thf(9974,plain,
    ! [SV164: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                                  ( ( v3_struct_0 @ SY518 )
                                                  | ~ ( v10_lattices @ SY518 )
                                                  | ~ ( l3_lattices @ SY518 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                                  | ~ ( v3_struct_0 @ SV164 ) )
                                            | ~ ! [SY519: $i] :
                                                  ( ( v3_struct_0 @ SY519 )
                                                  | ~ ( v10_lattices @ SY519 )
                                                  | ~ ( l3_lattices @ SY519 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                                  | ( v10_lattices @ SV164 ) ) )
                                      | ~ ! [SY520: $i] :
                                            ( ( v3_struct_0 @ SY520 )
                                            | ~ ( v10_lattices @ SY520 )
                                            | ~ ( l3_lattices @ SY520 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                            | ( v11_lattices @ SV164 ) ) )
                                | ~ ! [SY521: $i] :
                                      ( ( v3_struct_0 @ SY521 )
                                      | ~ ( v10_lattices @ SY521 )
                                      | ~ ( l3_lattices @ SY521 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                      | ( l3_lattices @ SV164 ) ) )
                          | ~ ! [SY522: $i] :
                                ( ( v3_struct_0 @ SY522 )
                                | ~ ( v10_lattices @ SY522 )
                                | ~ ( l3_lattices @ SY522 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                                | ~ ( v3_struct_0 @ SY522 ) ) )
                    | ~ ! [SY523: $i] :
                          ( ( v3_struct_0 @ SY523 )
                          | ~ ( v10_lattices @ SY523 )
                          | ~ ( l3_lattices @ SY523 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                          | ( v10_lattices @ SY523 ) ) )
              | ~ ! [SY524: $i] :
                    ( ( v3_struct_0 @ SY524 )
                    | ~ ( v10_lattices @ SY524 )
                    | ~ ( l3_lattices @ SY524 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                    | ( v11_lattices @ SY524 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9850]) ).

thf(9975,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY525: $i] :
              ( ( v3_struct_0 @ SY525 )
              | ~ ( v10_lattices @ SY525 )
              | ~ ( l3_lattices @ SY525 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY525 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY525 ) )
              | ( l3_lattices @ SY525 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9851]) ).

thf(9976,plain,
    ! [SV165: $i,SV372: $i] :
      ( ( ( ( v3_struct_0 @ SV372 )
          | ~ ( v10_lattices @ SV372 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV372 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV165 )
          | ~ ( v15_lattices @ SV372 )
          | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV372 ) ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9852]) ).

thf(9977,plain,
    ! [SV165: $i] :
      ( ( ( ! [SY527: $i] :
              ( ( v3_struct_0 @ SY527 )
              | ~ ( v10_lattices @ SY527 )
              | ~ ( l3_lattices @ SY527 )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY527 ) )
              | ( v15_lattices @ SV165 ) ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9853]) ).

thf(9978,plain,
    ! [SV165: $i] :
      ( ( ( ! [SY528: $i] :
              ( ( v3_struct_0 @ SY528 )
              | ~ ( v10_lattices @ SY528 )
              | ~ ( l3_lattices @ SY528 )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SY528 ) )
              | ( v15_lattices @ SY528 ) ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9854]) ).

thf(9979,plain,
    ! [SV167: $i] :
      ( ( ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
          | ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9856]) ).

thf(9980,plain,
    ! [SV269: $i] :
      ( ( ( v13_lattices @ SV269 )
        = $false )
      | ( ( ~ ( v3_filter_0 @ SV269 ) )
        = $true )
      | ( ( v1_lattice2 @ SV269 )
        = $true )
      | ( ( v10_lattices @ SV269 )
        = $false )
      | ( ( v3_struct_0 @ SV269 )
        = $true )
      | ( ( l3_lattices @ SV269 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9858]) ).

thf(9981,plain,
    ! [SV331: $i] :
      ( ( ( l3_lattices @ SV331 )
        = $false )
      | ( ( v3_struct_0 @ SV331 )
        = $true )
      | ( ( v10_lattices @ SV331 )
        = $false )
      | ( ( ~ ( v1_lattice2 @ SV331 )
          | ( v13_lattices @ SV331 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9859]) ).

thf(9982,plain,
    ! [SV332: $i] :
      ( ( ( l3_lattices @ SV332 )
        = $false )
      | ( ( v3_struct_0 @ SV332 )
        = $true )
      | ( ( v10_lattices @ SV332 )
        = $false )
      | ( ( ~ ( v1_lattice2 @ SV332 )
          | ( v3_filter_0 @ SV332 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9860]) ).

thf(9983,plain,
    ! [SV168: $i,SV373: $i] :
      ( ( ( ( v3_struct_0 @ SV373 )
          | ~ ( v10_lattices @ SV373 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV373 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV168 )
          | ~ ( v14_lattices @ SV373 )
          | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV373 ) ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9863]) ).

thf(9984,plain,
    ! [SV168: $i] :
      ( ( ( ! [SY530: $i] :
              ( ( v3_struct_0 @ SY530 )
              | ~ ( v10_lattices @ SY530 )
              | ~ ( l3_lattices @ SY530 )
              | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY530 ) )
              | ( v14_lattices @ SV168 ) ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9864]) ).

thf(9985,plain,
    ! [SV168: $i] :
      ( ( ( ! [SY531: $i] :
              ( ( v3_struct_0 @ SY531 )
              | ~ ( v10_lattices @ SY531 )
              | ~ ( l3_lattices @ SY531 )
              | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SY531 ) )
              | ( v14_lattices @ SY531 ) ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9865]) ).

thf(9986,plain,
    ! [SV384: $i,SV374: $i] :
      ( ( ( ( v3_struct_0 @ SV374 )
          | ~ ( v10_lattices @ SV374 )
          | ~ ( l3_lattices @ SV374 )
          | ~ ( m1_filter_0 @ SV384 @ SV374 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k5_filter_1 @ SV374 @ SV384 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9866]) ).

thf(9987,plain,
    ! [SV385: $i,SV375: $i] :
      ( ( ( ( v3_struct_0 @ SV375 )
          | ~ ( v10_lattices @ SV375 )
          | ~ ( l3_lattices @ SV375 )
          | ~ ( m1_filter_0 @ SV385 @ SV375 ) )
        = $true )
      | ( ( v3_lattices @ ( k5_filter_1 @ SV375 @ SV385 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9867]) ).

thf(9988,plain,
    ! [SV353: $i,SV333: $i] :
      ( ( ( v3_struct_0 @ SV333 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV333 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV333 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV353 @ SV333 ) )
        = $true )
      | ( ( v10_lattices @ ( k5_filter_1 @ SV333 @ SV353 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9868]) ).

thf(9989,plain,
    ! [SV276: $i,SV305: $i] :
      ( ( ( m1_filter_0 @ SV305 @ SV276 )
        = $false )
      | ( ( v10_lattices @ SV276 )
        = $false )
      | ( ( v3_struct_0 @ SV276 )
        = $true )
      | ( ( l3_lattices @ SV276 )
        = $false )
      | ( ( l3_lattices @ ( k5_filter_1 @ SV276 @ SV305 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9869]) ).

thf(9990,plain,
    ! [SV354: $i,SV334: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV334 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV334 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV354 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV354 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV334 @ SV354 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9870]) ).

thf(9991,plain,
    ! [SV355: $i,SV335: $i] :
      ( ( ( ~ ( l1_pre_topc @ SV335 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV335 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV355 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV355 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV335 @ SV355 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9871]) ).

thf(9992,plain,
    ! [SV279: $i,SV306: $i] :
      ( ( ( v2_pre_topc @ SV306 )
        = $false )
      | ( ( l1_pre_topc @ SV279 )
        = $false )
      | ( ( v2_pre_topc @ SV279 )
        = $false )
      | ( ( ~ ( l1_pre_topc @ SV306 ) )
        = $true )
      | ( ( l1_pre_topc @ ( k6_borsuk_1 @ SV279 @ SV306 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9872]) ).

thf(9993,plain,
    ! [SV280: $i] :
      ( ( ( v15_lattices @ SV280 )
        = $false )
      | ( ( v3_struct_0 @ SV280 )
        = $true )
      | ( ( v11_lattices @ SV280 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV280 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV280 ) )
        = $true )
      | ( ( l3_lattices @ SV280 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9873]) ).

thf(9994,plain,
    ! [SV281: $i] :
      ( ( ( v15_lattices @ SV281 )
        = $false )
      | ( ( v3_struct_0 @ SV281 )
        = $true )
      | ( ( v11_lattices @ SV281 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV281 ) )
        = $true )
      | ( ( v17_lattices @ SV281 )
        = $true )
      | ( ( l3_lattices @ SV281 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9874]) ).

thf(9995,plain,
    ! [SV336: $i] :
      ( ( ( l1_pre_topc @ SV336 )
        = $false )
      | ( ( v3_struct_0 @ SV336 )
        = $true )
      | ( ( v2_pre_topc @ SV336 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k6_lopclset @ SV336 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9875]) ).

thf(9996,plain,
    ! [SV337: $i] :
      ( ( ( l1_pre_topc @ SV337 )
        = $false )
      | ( ( v3_struct_0 @ SV337 )
        = $true )
      | ( ( v2_pre_topc @ SV337 )
        = $false )
      | ( ( v10_lattices @ ( k6_lopclset @ SV337 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9876]) ).

thf(9997,plain,
    ! [SV338: $i] :
      ( ( ( v1_xboole_0 @ SV338 )
        = $false )
      | ( ( v1_relat_1 @ SV338 )
        = $false )
      | ( ( ~ ( v1_funct_1 @ SV338 ) )
        = $true )
      | ( ( v1_funct_1 @ SV338 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9877]) ).

thf(9998,plain,
    ! [SV339: $i] :
      ( ( ( v1_xboole_0 @ SV339 )
        = $false )
      | ( ( v1_relat_1 @ SV339 )
        = $false )
      | ( ( ~ ( v1_funct_1 @ SV339 ) )
        = $true )
      | ( ( v1_relat_1 @ SV339 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9878]) ).

thf(9999,plain,
    ! [SV340: $i] :
      ( ( ( v3_struct_0 @ SV340 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV340 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV340 ) )
        = $true )
      | ( ( v3_realset2 @ SV340 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV340 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9879]) ).

thf(10000,plain,
    ! [SV341: $i] :
      ( ( ( v3_struct_0 @ SV341 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV341 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV341 ) )
        = $true )
      | ( ( v3_realset2 @ SV341 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV341 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV341 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9880]) ).

thf(10001,plain,
    ! [SV284: $i] :
      ( ( ( l3_lattices @ SV284 )
        = $false )
      | ( ( v3_realset2 @ SV284 )
        = $true )
      | ( ( v10_lattices @ SV284 )
        = $false )
      | ( ( v3_struct_0 @ SV284 )
        = $true )
      | ( ( v17_lattices @ SV284 )
        = $false )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV284 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9881]) ).

thf(10002,plain,
    ! [SV169: $i,SV376: $i] :
      ( ( ( ( v3_struct_0 @ SV376 )
          | ~ ( v10_lattices @ SV376 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV376 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV169 )
          | ~ ( v13_lattices @ SV376 )
          | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV376 ) ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9882]) ).

thf(10003,plain,
    ! [SV169: $i] :
      ( ( ( ! [SY533: $i] :
              ( ( v3_struct_0 @ SY533 )
              | ~ ( v10_lattices @ SY533 )
              | ~ ( l3_lattices @ SY533 )
              | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY533 ) )
              | ( v13_lattices @ SV169 ) ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9883]) ).

thf(10004,plain,
    ! [SV169: $i] :
      ( ( ( ! [SY534: $i] :
              ( ( v3_struct_0 @ SY534 )
              | ~ ( v10_lattices @ SY534 )
              | ~ ( l3_lattices @ SY534 )
              | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SY534 ) )
              | ( v13_lattices @ SY534 ) ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9884]) ).

thf(10005,plain,
    ! [SV342: $i] :
      ( ( ( v3_struct_0 @ SV342 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV342 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV342 ) )
        = $true )
      | ( ( v3_realset2 @ SV342 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV342 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV342 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9885]) ).

thf(10006,plain,
    ! [SV343: $i] :
      ( ( ( v3_struct_0 @ SV343 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV343 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV343 ) )
        = $true )
      | ( ( v3_realset2 @ SV343 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV343 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV343 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9886]) ).

thf(10007,plain,
    ! [SV287: $i] :
      ( ( ( l3_lattices @ SV287 )
        = $false )
      | ( ( v3_realset2 @ SV287 )
        = $true )
      | ( ( v10_lattices @ SV287 )
        = $false )
      | ( ( v3_struct_0 @ SV287 )
        = $true )
      | ( ( v17_lattices @ SV287 )
        = $false )
      | ( ( l1_pre_topc @ ( k11_lopclset @ SV287 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9887]) ).

thf(10008,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ~ ( v3_struct_0 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( l3_lattices @ SX0 )
                | ( v3_struct_0 @ SX0 )
                | ~ ( v17_lattices @ SX0 )
                | ( v11_lattices @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9888]) ).

thf(10009,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v13_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9889]) ).

thf(10010,plain,
    ! [SV377: $i] :
      ( ( ( l3_lattices @ SV377 )
        = $false )
      | ( ( ( v3_struct_0 @ SV377 )
          | ~ ( v17_lattices @ SV377 )
          | ( v14_lattices @ SV377 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9890]) ).

thf(10011,plain,
    ! [SV344: $i] :
      ( ( ( v17_lattices @ SV344 )
        = $false )
      | ( ( v3_struct_0 @ SV344 )
        = $true )
      | ( ( v15_lattices @ SV344 )
        = $true )
      | ( ( l3_lattices @ SV344 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9891]) ).

thf(10012,plain,
    ! [SV291: $i] :
      ( ( ( ~ ( m1_subset_1 @ ( sK12_SY394 @ SV291 ) @ ( u1_struct_0 @ SV291 ) ) )
        = $false )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9894]) ).

thf(10013,plain,
    ! [SV291: $i] :
      ( ( ( ~ ( ( ( sK11_B @ SV291 )
               != ( sK12_SY394 @ SV291 ) ) ) )
        = $false )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9894]) ).

thf(10014,plain,
    ! [SV361: $i,SV292: $i,SV389: $i] :
      ( ( ( ~ ( m1_subset_1 @ SV389 @ ( u1_struct_0 @ SV292 ) )
          | ( SV361 = SV389 ) )
        = $true )
      | ( ( m1_subset_1 @ SV361 @ ( u1_struct_0 @ SV292 ) )
        = $false )
      | ( ( v3_realset2 @ SV292 )
        = $false )
      | ( ( l1_struct_0 @ SV292 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9895]) ).

thf(10015,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                                ( ( v3_struct_0 @ SY535 )
                                | ~ ( v10_lattices @ SY535 )
                                | ~ ( l3_lattices @ SY535 )
                                | ( v3_struct_0 @ SV170 )
                                | ~ ( v10_lattices @ SV170 )
                                | ~ ( v15_lattices @ SV170 )
                                | ~ ( v16_lattices @ SV170 )
                                | ~ ( l3_lattices @ SV170 )
                                | ( v3_struct_0 @ SY535 )
                                | ~ ( v10_lattices @ SY535 )
                                | ~ ( v15_lattices @ SY535 )
                                | ~ ( v16_lattices @ SY535 )
                                | ~ ( l3_lattices @ SY535 )
                                | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                          | ~ ! [SY536: $i] :
                                ( ( v3_struct_0 @ SY536 )
                                | ~ ( v10_lattices @ SY536 )
                                | ~ ( l3_lattices @ SY536 )
                                | ( v3_struct_0 @ SV170 )
                                | ~ ( v10_lattices @ SV170 )
                                | ~ ( v15_lattices @ SV170 )
                                | ~ ( v16_lattices @ SV170 )
                                | ~ ( l3_lattices @ SV170 )
                                | ( v3_struct_0 @ SY536 )
                                | ~ ( v10_lattices @ SY536 )
                                | ~ ( v15_lattices @ SY536 )
                                | ~ ( v16_lattices @ SY536 )
                                | ~ ( l3_lattices @ SY536 )
                                | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                    | ~ ! [SY537: $i] :
                          ( ( v3_struct_0 @ SY537 )
                          | ~ ( v10_lattices @ SY537 )
                          | ~ ( l3_lattices @ SY537 )
                          | ( v3_struct_0 @ SV170 )
                          | ~ ( v10_lattices @ SV170 )
                          | ~ ( v15_lattices @ SV170 )
                          | ~ ( v16_lattices @ SV170 )
                          | ~ ( l3_lattices @ SV170 )
                          | ( v3_struct_0 @ SY537 )
                          | ~ ( v10_lattices @ SY537 )
                          | ~ ( v15_lattices @ SY537 )
                          | ~ ( v16_lattices @ SY537 )
                          | ~ ( l3_lattices @ SY537 )
                          | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
              | ~ ! [SY538: $i] :
                    ( ( v3_struct_0 @ SY538 )
                    | ~ ( v10_lattices @ SY538 )
                    | ~ ( l3_lattices @ SY538 )
                    | ( v3_struct_0 @ SV170 )
                    | ~ ( v10_lattices @ SV170 )
                    | ~ ( v15_lattices @ SV170 )
                    | ~ ( v16_lattices @ SV170 )
                    | ~ ( l3_lattices @ SV170 )
                    | ( v3_struct_0 @ SY538 )
                    | ~ ( v10_lattices @ SY538 )
                    | ~ ( v15_lattices @ SY538 )
                    | ~ ( v16_lattices @ SY538 )
                    | ~ ( l3_lattices @ SY538 )
                    | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9896]) ).

thf(10016,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY539: $i] :
              ( ( v3_struct_0 @ SY539 )
              | ~ ( v10_lattices @ SY539 )
              | ~ ( l3_lattices @ SY539 )
              | ( v3_struct_0 @ SV170 )
              | ~ ( v10_lattices @ SV170 )
              | ~ ( v15_lattices @ SV170 )
              | ~ ( v16_lattices @ SV170 )
              | ~ ( l3_lattices @ SV170 )
              | ( v3_struct_0 @ SY539 )
              | ~ ( v10_lattices @ SY539 )
              | ~ ( v15_lattices @ SY539 )
              | ~ ( v16_lattices @ SY539 )
              | ~ ( l3_lattices @ SY539 )
              | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY539 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9897]) ).

thf(10017,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                              ( ( v3_struct_0 @ SY540 )
                                                              | ~ ( v10_lattices @ SY540 )
                                                              | ~ ( l3_lattices @ SY540 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                              | ~ ( v3_struct_0 @ SV170 ) )
                                                        | ~ ! [SY541: $i] :
                                                              ( ( v3_struct_0 @ SY541 )
                                                              | ~ ( v10_lattices @ SY541 )
                                                              | ~ ( l3_lattices @ SY541 )
                                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                              | ( v10_lattices @ SV170 ) ) )
                                                  | ~ ! [SY542: $i] :
                                                        ( ( v3_struct_0 @ SY542 )
                                                        | ~ ( v10_lattices @ SY542 )
                                                        | ~ ( l3_lattices @ SY542 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                        | ( v15_lattices @ SV170 ) ) )
                                            | ~ ! [SY543: $i] :
                                                  ( ( v3_struct_0 @ SY543 )
                                                  | ~ ( v10_lattices @ SY543 )
                                                  | ~ ( l3_lattices @ SY543 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                                  | ( v16_lattices @ SV170 ) ) )
                                      | ~ ! [SY544: $i] :
                                            ( ( v3_struct_0 @ SY544 )
                                            | ~ ( v10_lattices @ SY544 )
                                            | ~ ( l3_lattices @ SY544 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                            | ( l3_lattices @ SV170 ) ) )
                                | ~ ! [SY545: $i] :
                                      ( ( v3_struct_0 @ SY545 )
                                      | ~ ( v10_lattices @ SY545 )
                                      | ~ ( l3_lattices @ SY545 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                      | ~ ( v3_struct_0 @ SY545 ) ) )
                          | ~ ! [SY546: $i] :
                                ( ( v3_struct_0 @ SY546 )
                                | ~ ( v10_lattices @ SY546 )
                                | ~ ( l3_lattices @ SY546 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                                | ( v10_lattices @ SY546 ) ) )
                    | ~ ! [SY547: $i] :
                          ( ( v3_struct_0 @ SY547 )
                          | ~ ( v10_lattices @ SY547 )
                          | ~ ( l3_lattices @ SY547 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                          | ( v15_lattices @ SY547 ) ) )
              | ~ ! [SY548: $i] :
                    ( ( v3_struct_0 @ SY548 )
                    | ~ ( v10_lattices @ SY548 )
                    | ~ ( l3_lattices @ SY548 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                    | ( v16_lattices @ SY548 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9898]) ).

thf(10018,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY549: $i] :
              ( ( v3_struct_0 @ SY549 )
              | ~ ( v10_lattices @ SY549 )
              | ~ ( l3_lattices @ SY549 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY549 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY549 ) )
              | ( l3_lattices @ SY549 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9899]) ).

thf(10019,plain,
    ! [SV293: $i] :
      ( ( ( v16_lattices @ SV293 )
        = $false )
      | ( ( v15_lattices @ SV293 )
        = $false )
      | ( ( ~ ( v11_lattices @ SV293 ) )
        = $true )
      | ( ( v17_lattices @ SV293 )
        = $true )
      | ( ( v3_struct_0 @ SV293 )
        = $true )
      | ( ( l3_lattices @ SV293 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9900]) ).

thf(10020,plain,
    ! [SV378: $i] :
      ( ( ( v3_struct_0 @ SV378 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV378 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV378 )
          | ( v15_lattices @ SV378 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9901]) ).

thf(10021,plain,
    ! [SV379: $i] :
      ( ( ( v3_struct_0 @ SV379 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV379 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV379 )
          | ( v16_lattices @ SV379 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9902]) ).

thf(10022,plain,
    ! [SV345: $i] :
      ( ( ( v17_lattices @ SV345 )
        = $false )
      | ( ( v11_lattices @ SV345 )
        = $true )
      | ( ( v3_struct_0 @ SV345 )
        = $true )
      | ( ( l3_lattices @ SV345 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9903]) ).

thf(10023,plain,
    ! [SV356: $i,SV346: $i] :
      ( ( ( v3_struct_0 @ SV346 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV346 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV346 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV356 @ SV346 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_0 @ SV346 @ SV356 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9904]) ).

thf(10024,plain,
    ! [SV357: $i,SV347: $i] :
      ( ( ( v3_struct_0 @ SV347 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV347 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV347 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV357 @ SV347 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_0 @ SV347 @ SV357 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9905]) ).

thf(10025,plain,
    ! [SV296: $i,SV309: $i] :
      ( ( ( m1_filter_0 @ SV309 @ SV296 )
        = $false )
      | ( ( v10_lattices @ SV296 )
        = $false )
      | ( ( v3_struct_0 @ SV296 )
        = $true )
      | ( ( l3_lattices @ SV296 )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_0 @ SV296 @ SV309 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9906]) ).

thf(10026,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v11_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9907]) ).

thf(10027,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( v11_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9908]) ).

thf(10028,plain,
    ! [SV380: $i] :
      ( ( ( ( v3_struct_0 @ SV380 )
          | ~ ( v10_lattices @ SV380 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV380 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV380 )
          | ~ ( v10_lattices @ SV380 )
          | ~ ( v11_lattices @ SV380 )
          | ~ ( l3_lattices @ SV380 )
          | ( v11_lattices @ ( k1_lattice2 @ SV380 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9909]) ).

thf(10029,plain,
    ! [SV348: $i] :
      ( ( ( l3_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( ( v3_struct_0 @ SV348 )
          | ~ ( v10_lattices @ SV348 )
          | ~ ( v11_lattices @ SV348 )
          | ~ ( l3_lattices @ SV348 )
          | ( l3_lattices @ ( k1_lattice2 @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9910]) ).

thf(10030,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
          | ~ ( v3_struct_0 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9911]) ).

thf(10031,plain,
    ( ( ! [SX0: $i] :
          ( ( v3_struct_0 @ SX0 )
          | ~ ( v10_lattices @ SX0 )
          | ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SX0 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SX0 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SX0 ) )
          | ( v10_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[9912]) ).

thf(10032,plain,
    ! [SV381: $i] :
      ( ( ( ( v3_struct_0 @ SV381 )
          | ~ ( v10_lattices @ SV381 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV381 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) )
          | ( v11_lattices @ SV381 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9913]) ).

thf(10033,plain,
    ! [SV349: $i] :
      ( ( ( l3_lattices @ SV349 )
        = $false )
      | ( ( v3_struct_0 @ SV349 )
        = $true )
      | ( ( v10_lattices @ SV349 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) )
          | ( l3_lattices @ SV349 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9914]) ).

thf(10034,plain,
    ! [SV210: $i,SV22: $i,SV172: $i] :
      ( ( ( m1_filter_0 @ SV172 @ SV22 )
        = $false )
      | ( ( v17_lattices @ SV22 )
        = $false )
      | ( ( v3_struct_0 @ SV22 )
        = $true )
      | ( ( v10_lattices @ SV22 )
        = $false )
      | ( ( l3_lattices @ SV22 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV210 @ SV22 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9915]) ).

thf(10035,plain,
    ! [SV312: $i,SV24: $i,SV390: $i] :
      ( ( ( ( v3_struct_0 @ SV390 )
          | ~ ( v10_lattices @ SV390 )
          | ~ ( l3_lattices @ SV390 )
          | ~ ( r1_filter_1 @ SV24 @ SV312 )
          | ~ ( r1_filter_1 @ SV312 @ SV390 )
          | ( r1_filter_1 @ SV24 @ SV390 ) )
        = $true )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9916]) ).

thf(10036,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( ~ ( r1_filter_1 @ SV27 @ SV173 ) )
        = $true )
      | ( ( r1_filter_1 @ SV173 @ SV27 )
        = $true )
      | ( ( v10_lattices @ SV173 )
        = $false )
      | ( ( v3_struct_0 @ SV173 )
        = $true )
      | ( ( v10_lattices @ SV27 )
        = $false )
      | ( ( v3_struct_0 @ SV27 )
        = $true )
      | ( ( l3_lattices @ SV27 )
        = $false )
      | ( ( l3_lattices @ SV173 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9919]) ).

thf(10037,plain,
    ! [SV359: $i,SV122: $i,SV386: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV386 @ SV122 ) )
        = $true )
      | ( ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SV359 @ SV386 ) )
          = ( k7_filter_0 @ SV122 @ SV359 @ SV386 ) )
        = $true )
      | ( ( m1_filter_0 @ SV359 @ SV122 )
        = $false )
      | ( ( v17_lattices @ SV122 )
        = $false )
      | ( ( v3_struct_0 @ SV122 )
        = $true )
      | ( ( v10_lattices @ SV122 )
        = $false )
      | ( ( l3_lattices @ SV122 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9925]) ).

thf(10038,plain,
    ! [SV320: $i,SV127: $i] :
      ( ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV127 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV127 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV127 ) )
        = $true )
      | ( ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SV320 ) )
        = $true )
      | ( ( m1_filter_0 @ SV320 @ SV127 )
        = $false )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( l3_lattices @ SV127 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9926]) ).

thf(10039,plain,
    ! [SV219: $i,SV128: $i,SV201: $i] :
      ( ( ( m1_filter_0 @ SV201 @ SV128 )
        = $false )
      | ( ( v11_lattices @ SV128 )
        = $false )
      | ( ( v3_struct_0 @ SV128 )
        = $true )
      | ( ( v10_lattices @ SV128 )
        = $false )
      | ( ( l3_lattices @ SV128 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV219 @ SV128 ) )
        = $true )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9927]) ).

thf(10040,plain,
    ! [SV220: $i,SV129: $i,SV202: $i] :
      ( ( ( m1_filter_0 @ SV202 @ SV129 )
        = $false )
      | ( ( v17_lattices @ SV129 )
        = $false )
      | ( ( v3_struct_0 @ SV129 )
        = $true )
      | ( ( v10_lattices @ SV129 )
        = $false )
      | ( ( l3_lattices @ SV129 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV220 @ SV129 ) )
        = $true )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9928]) ).

thf(10041,plain,
    ! [SV140: $i,SV322: $i] :
      ( ( ( v11_lattices @ SV322 )
        = $false )
      | ( ( v3_struct_0 @ SV322 )
        = $true )
      | ( ( v10_lattices @ SV322 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV322 ) )
        = $true )
      | ( ( ! [SY579: $i] :
              ( ~ ( m1_lattice4 @ SY579 @ SV322 @ SV140 )
              | ~ ( v2_lattice4 @ SY579 @ SV322 @ SV140 )
              | ( v11_lattices @ SV140 ) ) )
        = $true )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9931]) ).

thf(10042,plain,
    ! [SV151: $i,SV364: $i] :
      ( ( ( v3_struct_0 @ SV364 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV364 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV364 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ SV151 )
          | ~ ( v12_lattices @ SV364 )
          | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV364 ) ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9932]) ).

thf(10043,plain,
    ! [SV151: $i,SV391: $i] :
      ( ( ( ( v3_struct_0 @ SV391 )
          | ~ ( v10_lattices @ SV391 )
          | ~ ( l3_lattices @ SV391 )
          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV391 ) )
          | ( v12_lattices @ SV151 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9933]) ).

thf(10044,plain,
    ! [SV151: $i,SV392: $i] :
      ( ( ( ( v3_struct_0 @ SV392 )
          | ~ ( v10_lattices @ SV392 )
          | ~ ( l3_lattices @ SV392 )
          | ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV392 ) )
          | ( v12_lattices @ SV392 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9934]) ).

thf(10045,plain,
    ! [SV152: $i,SV365: $i] :
      ( ( ( v3_struct_0 @ SV365 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV365 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV365 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV152 @ SV365 )
          | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV365 ) ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9935]) ).

thf(10046,plain,
    ! [SV152: $i,SV366: $i] :
      ( ( ( v3_struct_0 @ SV366 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV366 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV366 ) )
        = $true )
      | ( ( ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV366 ) )
          | ( r1_filter_1 @ SV152 @ SV366 ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9936]) ).

thf(10047,plain,
    ! [SV153: $i,SV367: $i] :
      ( ( ( v1_xboole_0 @ SV367 )
        = $false )
      | ( ( m1_borsuk_1 @ SV367 @ SV153 )
        = $false )
      | ( ( v2_pre_topc @ SV153 )
        = $false )
      | ( ( v3_struct_0 @ SV153 )
        = $true )
      | ( ( l1_pre_topc @ SV153 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9937]) ).

thf(10048,plain,
    ! [SV323: $i] :
      ( ( ( v10_lattices @ SV323 )
        = $false )
      | ( ( v3_struct_0 @ SV323 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV323 ) )
        = $true )
      | ( ( v3_realset2 @ SV323 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV323 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV323 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9939]) ).

thf(10049,plain,
    ! [SV324: $i] :
      ( ( ( v10_lattices @ SV324 )
        = $false )
      | ( ( v3_struct_0 @ SV324 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV324 ) )
        = $true )
      | ( ( v3_realset2 @ SV324 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV324 ) )
        = $true )
      | ( ( v10_lattices @ ( k12_lopclset @ SV324 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9940]) ).

thf(10050,plain,
    ! [SV350: $i,SV325: $i] :
      ( ( ( ( v3_struct_0 @ SV325 )
          | ~ ( v2_pre_topc @ SV325 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV325 ) )
        = $true )
      | ( ( v3_struct_0 @ SV350 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9942]) ).

thf(10051,plain,
    ! [SV351: $i,SV326: $i] :
      ( ( ( ( v3_struct_0 @ SV326 )
          | ~ ( v2_pre_topc @ SV326 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV326 ) )
        = $true )
      | ( ( v3_struct_0 @ SV351 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV351 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV351 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9943]) ).

thf(10052,plain,
    ! [SV298: $i,SV234: $i] :
      ( ( ( l1_pre_topc @ SV234 )
        = $false )
      | ( ( v3_struct_0 @ SV234 )
        = $true )
      | ( ( v2_pre_topc @ SV234 )
        = $false )
      | ( ( v3_struct_0 @ SV298 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV298 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV298 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9944]) ).

thf(10053,plain,
    ! [SV156: $i,SV369: $i] :
      ( ( ( v3_struct_0 @ SV369 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV369 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV369 ) )
        = $true )
      | ( ( ! [SY589: $i] :
              ( ~ ( m1_lattice4 @ SY589 @ SV156 @ SV369 )
              | ~ ( v3_lattice4 @ SY589 @ SV156 @ SV369 ) )
          | ( r1_filter_1 @ SV156 @ SV369 ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9945]) ).

thf(10054,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( v3_struct_0 @ SV370 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV370 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV370 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV156 @ SV370 )
          | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
              | ~ ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9946]) ).

thf(10055,plain,
    ! [SV327: $i] :
      ( ( ( v3_struct_0 @ SV327 )
        = $false )
      | ( ( v3_struct_0 @ SV327 )
        = $true )
      | ( ( v15_lattices @ SV327 )
        = $false )
      | ( ( l3_lattices @ SV327 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9947]) ).

thf(10056,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ! [SY485: $i] :
                      ( ( v3_struct_0 @ SY485 )
                      | ~ ( v10_lattices @ SY485 )
                      | ~ ( l3_lattices @ SY485 )
                      | ( v3_struct_0 @ SV157 )
                      | ~ ( v10_lattices @ SV157 )
                      | ~ ( v17_lattices @ SV157 )
                      | ~ ( l3_lattices @ SV157 )
                      | ( v3_struct_0 @ SY485 )
                      | ~ ( v10_lattices @ SY485 )
                      | ~ ( v17_lattices @ SY485 )
                      | ~ ( l3_lattices @ SY485 )
                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                | ~ ! [SY486: $i] :
                      ( ( v3_struct_0 @ SY486 )
                      | ~ ( v10_lattices @ SY486 )
                      | ~ ( l3_lattices @ SY486 )
                      | ( v3_struct_0 @ SV157 )
                      | ~ ( v10_lattices @ SV157 )
                      | ~ ( v17_lattices @ SV157 )
                      | ~ ( l3_lattices @ SV157 )
                      | ( v3_struct_0 @ SY486 )
                      | ~ ( v10_lattices @ SY486 )
                      | ~ ( v17_lattices @ SY486 )
                      | ~ ( l3_lattices @ SY486 )
                      | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
          | ~ ! [SY487: $i] :
                ( ( v3_struct_0 @ SY487 )
                | ~ ( v10_lattices @ SY487 )
                | ~ ( l3_lattices @ SY487 )
                | ( v3_struct_0 @ SV157 )
                | ~ ( v10_lattices @ SV157 )
                | ~ ( v17_lattices @ SV157 )
                | ~ ( l3_lattices @ SV157 )
                | ( v3_struct_0 @ SY487 )
                | ~ ( v10_lattices @ SY487 )
                | ~ ( v17_lattices @ SY487 )
                | ~ ( l3_lattices @ SY487 )
                | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9949]) ).

thf(10057,plain,
    ! [SV157: $i,SV393: $i] :
      ( ( ( ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 )
          | ~ ( l3_lattices @ SV393 )
          | ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 )
          | ~ ( v17_lattices @ SV393 )
          | ~ ( l3_lattices @ SV393 )
          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9950]) ).

thf(10058,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                              ( ( v3_struct_0 @ SY489 )
                                              | ~ ( v10_lattices @ SY489 )
                                              | ~ ( l3_lattices @ SY489 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                              | ~ ( v3_struct_0 @ SV157 ) )
                                        | ~ ! [SY490: $i] :
                                              ( ( v3_struct_0 @ SY490 )
                                              | ~ ( v10_lattices @ SY490 )
                                              | ~ ( l3_lattices @ SY490 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                              | ( v10_lattices @ SV157 ) ) )
                                  | ~ ! [SY491: $i] :
                                        ( ( v3_struct_0 @ SY491 )
                                        | ~ ( v10_lattices @ SY491 )
                                        | ~ ( l3_lattices @ SY491 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                        | ( v17_lattices @ SV157 ) ) )
                            | ~ ! [SY492: $i] :
                                  ( ( v3_struct_0 @ SY492 )
                                  | ~ ( v10_lattices @ SY492 )
                                  | ~ ( l3_lattices @ SY492 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                  | ( l3_lattices @ SV157 ) ) )
                      | ~ ! [SY493: $i] :
                            ( ( v3_struct_0 @ SY493 )
                            | ~ ( v10_lattices @ SY493 )
                            | ~ ( l3_lattices @ SY493 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                            | ~ ( v3_struct_0 @ SY493 ) ) )
                | ~ ! [SY494: $i] :
                      ( ( v3_struct_0 @ SY494 )
                      | ~ ( v10_lattices @ SY494 )
                      | ~ ( l3_lattices @ SY494 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                      | ( v10_lattices @ SY494 ) ) )
          | ~ ! [SY495: $i] :
                ( ( v3_struct_0 @ SY495 )
                | ~ ( v10_lattices @ SY495 )
                | ~ ( l3_lattices @ SY495 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                | ( v17_lattices @ SY495 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9951]) ).

thf(10059,plain,
    ! [SV157: $i,SV394: $i] :
      ( ( ( ( v3_struct_0 @ SV394 )
          | ~ ( v10_lattices @ SV394 )
          | ~ ( l3_lattices @ SV394 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ( l3_lattices @ SV394 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9952]) ).

thf(10060,plain,
    ! [SV158: $i,SV371: $i] :
      ( ( ( v3_struct_0 @ SV371 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV371 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV371 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV158 )
          | ~ ( v3_filter_0 @ SV371 )
          | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV371 ) ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9953]) ).

thf(10061,plain,
    ! [SV158: $i,SV395: $i] :
      ( ( ( ( v3_struct_0 @ SV395 )
          | ~ ( v10_lattices @ SV395 )
          | ~ ( l3_lattices @ SV395 )
          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV395 ) )
          | ( v3_filter_0 @ SV158 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9954]) ).

thf(10062,plain,
    ! [SV158: $i,SV396: $i] :
      ( ( ( ( v3_struct_0 @ SV396 )
          | ~ ( v10_lattices @ SV396 )
          | ~ ( l3_lattices @ SV396 )
          | ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV396 ) )
          | ( v3_filter_0 @ SV396 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9955]) ).

thf(10063,plain,
    ! [SV160: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ! [SY501: $i] :
                          ( ( v3_struct_0 @ SY501 )
                          | ~ ( l3_lattices @ SY501 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                          | ~ ( v3_struct_0 @ SV160 ) )
                    | ~ ! [SY502: $i] :
                          ( ( v3_struct_0 @ SY502 )
                          | ~ ( l3_lattices @ SY502 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                          | ( v10_lattices @ SV160 ) ) )
              | ~ ! [SY503: $i] :
                    ( ( v3_struct_0 @ SY503 )
                    | ~ ( l3_lattices @ SY503 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                    | ( l3_lattices @ SV160 ) ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9957]) ).

thf(10064,plain,
    ! [SV160: $i] :
      ( ( ( ! [SY504: $i] :
              ( ( v3_struct_0 @ SY504 )
              | ~ ( l3_lattices @ SY504 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY504 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY504 ) )
              | ~ ( v3_struct_0 @ SY504 ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[9958]) ).

thf(10065,plain,
    ! [SV160: $i,SV383: $i] :
      ( ( ( v3_struct_0 @ SV383 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV383 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ( v10_lattices @ SV383 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9959]) ).

thf(10066,plain,
    ! [SV352: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV352 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) ) )
        = $true )
      | ( ( l3_lattices @ SV352 )
        = $true )
      | ( ( v3_struct_0 @ SV352 )
        = $true )
      | ( ( l3_lattices @ SV352 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9960]) ).

thf(10067,plain,
    ! [SV161: $i,SV387: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV387 @ SV161 ) )
        = $true )
      | ( ( ( SV387
            = ( k1_filter_0 @ SV161 ) )
          | ~ ( v2_filter_0 @ SV387 @ SV161 )
          | ( v1_filter_0 @ SV387 @ SV161 ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9961]) ).

thf(10068,plain,
    ! [SV161: $i] :
      ( ( ( ~ ! [SY508: $i] :
                ( ~ ( m1_filter_0 @ SY508 @ SV161 )
                | ~ ( v1_filter_0 @ SY508 @ SV161 )
                | ( SY508
                 != ( k1_filter_0 @ SV161 ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9962]) ).

thf(10069,plain,
    ! [SV161: $i] :
      ( ( ( ~ ! [SY509: $i] :
                ( ~ ( m1_filter_0 @ SY509 @ SV161 )
                | ~ ( v1_filter_0 @ SY509 @ SV161 )
                | ( v2_filter_0 @ SY509 @ SV161 ) ) )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9962]) ).

thf(10070,plain,
    ! [SV162: $i] :
      ( ( ( ~ ~ ( ~ ! [SY510: $i] :
                      ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                      | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
                | ~ ! [SY511: $i] :
                      ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                      | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9966]) ).

thf(10071,plain,
    ! [SV162: $i] :
      ( ( ( ~ ! [SY512: $i] :
                ( ~ ( m1_filter_0 @ SY512 @ SV162 )
                | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9966]) ).

thf(10072,plain,
    ! [SV162: $i,SV388: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV388 @ SV162 ) )
        = $true )
      | ( ( l3_lattices @ ( k5_filter_1 @ SV162 @ SV388 ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9967]) ).

thf(10073,plain,
    ! [SV163: $i] :
      ( ( ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
          | ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9968]) ).

thf(10074,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ! [SY514: $i] :
                      ( ( v3_struct_0 @ SY514 )
                      | ~ ( v10_lattices @ SY514 )
                      | ~ ( l3_lattices @ SY514 )
                      | ( v3_struct_0 @ SV164 )
                      | ~ ( v10_lattices @ SV164 )
                      | ~ ( v11_lattices @ SV164 )
                      | ~ ( l3_lattices @ SV164 )
                      | ( v3_struct_0 @ SY514 )
                      | ~ ( v10_lattices @ SY514 )
                      | ~ ( v11_lattices @ SY514 )
                      | ~ ( l3_lattices @ SY514 )
                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                | ~ ! [SY515: $i] :
                      ( ( v3_struct_0 @ SY515 )
                      | ~ ( v10_lattices @ SY515 )
                      | ~ ( l3_lattices @ SY515 )
                      | ( v3_struct_0 @ SV164 )
                      | ~ ( v10_lattices @ SV164 )
                      | ~ ( v11_lattices @ SV164 )
                      | ~ ( l3_lattices @ SV164 )
                      | ( v3_struct_0 @ SY515 )
                      | ~ ( v10_lattices @ SY515 )
                      | ~ ( v11_lattices @ SY515 )
                      | ~ ( l3_lattices @ SY515 )
                      | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
          | ~ ! [SY516: $i] :
                ( ( v3_struct_0 @ SY516 )
                | ~ ( v10_lattices @ SY516 )
                | ~ ( l3_lattices @ SY516 )
                | ( v3_struct_0 @ SV164 )
                | ~ ( v10_lattices @ SV164 )
                | ~ ( v11_lattices @ SV164 )
                | ~ ( l3_lattices @ SV164 )
                | ( v3_struct_0 @ SY516 )
                | ~ ( v10_lattices @ SY516 )
                | ~ ( v11_lattices @ SY516 )
                | ~ ( l3_lattices @ SY516 )
                | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9972]) ).

thf(10075,plain,
    ! [SV164: $i,SV397: $i] :
      ( ( ( ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 )
          | ~ ( l3_lattices @ SV397 )
          | ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 )
          | ~ ( v11_lattices @ SV397 )
          | ~ ( l3_lattices @ SV397 )
          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9973]) ).

thf(10076,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                              ( ( v3_struct_0 @ SY518 )
                                              | ~ ( v10_lattices @ SY518 )
                                              | ~ ( l3_lattices @ SY518 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                              | ~ ( v3_struct_0 @ SV164 ) )
                                        | ~ ! [SY519: $i] :
                                              ( ( v3_struct_0 @ SY519 )
                                              | ~ ( v10_lattices @ SY519 )
                                              | ~ ( l3_lattices @ SY519 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                              | ( v10_lattices @ SV164 ) ) )
                                  | ~ ! [SY520: $i] :
                                        ( ( v3_struct_0 @ SY520 )
                                        | ~ ( v10_lattices @ SY520 )
                                        | ~ ( l3_lattices @ SY520 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                        | ( v11_lattices @ SV164 ) ) )
                            | ~ ! [SY521: $i] :
                                  ( ( v3_struct_0 @ SY521 )
                                  | ~ ( v10_lattices @ SY521 )
                                  | ~ ( l3_lattices @ SY521 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                  | ( l3_lattices @ SV164 ) ) )
                      | ~ ! [SY522: $i] :
                            ( ( v3_struct_0 @ SY522 )
                            | ~ ( v10_lattices @ SY522 )
                            | ~ ( l3_lattices @ SY522 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                            | ~ ( v3_struct_0 @ SY522 ) ) )
                | ~ ! [SY523: $i] :
                      ( ( v3_struct_0 @ SY523 )
                      | ~ ( v10_lattices @ SY523 )
                      | ~ ( l3_lattices @ SY523 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                      | ( v10_lattices @ SY523 ) ) )
          | ~ ! [SY524: $i] :
                ( ( v3_struct_0 @ SY524 )
                | ~ ( v10_lattices @ SY524 )
                | ~ ( l3_lattices @ SY524 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                | ( v11_lattices @ SY524 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9974]) ).

thf(10077,plain,
    ! [SV164: $i,SV398: $i] :
      ( ( ( ( v3_struct_0 @ SV398 )
          | ~ ( v10_lattices @ SV398 )
          | ~ ( l3_lattices @ SV398 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ( l3_lattices @ SV398 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9975]) ).

thf(10078,plain,
    ! [SV165: $i,SV372: $i] :
      ( ( ( v3_struct_0 @ SV372 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV372 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV372 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV165 )
          | ~ ( v15_lattices @ SV372 )
          | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV372 ) ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9976]) ).

thf(10079,plain,
    ! [SV165: $i,SV399: $i] :
      ( ( ( ( v3_struct_0 @ SV399 )
          | ~ ( v10_lattices @ SV399 )
          | ~ ( l3_lattices @ SV399 )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV399 ) )
          | ( v15_lattices @ SV165 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9977]) ).

thf(10080,plain,
    ! [SV165: $i,SV400: $i] :
      ( ( ( ( v3_struct_0 @ SV400 )
          | ~ ( v10_lattices @ SV400 )
          | ~ ( l3_lattices @ SV400 )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV400 ) )
          | ( v15_lattices @ SV400 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9978]) ).

thf(10081,plain,
    ! [SV167: $i] :
      ( ( ( ~ ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 ) )
        = $false )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9979]) ).

thf(10082,plain,
    ! [SV167: $i] :
      ( ( ( ~ ( v1_pre_topc @ ( sK8_B @ SV167 ) ) )
        = $false )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[9979]) ).

thf(10083,plain,
    ! [SV269: $i] :
      ( ( ( v3_filter_0 @ SV269 )
        = $false )
      | ( ( v13_lattices @ SV269 )
        = $false )
      | ( ( v1_lattice2 @ SV269 )
        = $true )
      | ( ( v10_lattices @ SV269 )
        = $false )
      | ( ( v3_struct_0 @ SV269 )
        = $true )
      | ( ( l3_lattices @ SV269 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9980]) ).

thf(10084,plain,
    ! [SV331: $i] :
      ( ( ( ~ ( v1_lattice2 @ SV331 ) )
        = $true )
      | ( ( v13_lattices @ SV331 )
        = $true )
      | ( ( v10_lattices @ SV331 )
        = $false )
      | ( ( v3_struct_0 @ SV331 )
        = $true )
      | ( ( l3_lattices @ SV331 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9981]) ).

thf(10085,plain,
    ! [SV332: $i] :
      ( ( ( ~ ( v1_lattice2 @ SV332 ) )
        = $true )
      | ( ( v3_filter_0 @ SV332 )
        = $true )
      | ( ( v10_lattices @ SV332 )
        = $false )
      | ( ( v3_struct_0 @ SV332 )
        = $true )
      | ( ( l3_lattices @ SV332 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9982]) ).

thf(10086,plain,
    ! [SV168: $i,SV373: $i] :
      ( ( ( v3_struct_0 @ SV373 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV373 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV373 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV168 )
          | ~ ( v14_lattices @ SV373 )
          | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV373 ) ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[9983]) ).

thf(10087,plain,
    ! [SV168: $i,SV401: $i] :
      ( ( ( ( v3_struct_0 @ SV401 )
          | ~ ( v10_lattices @ SV401 )
          | ~ ( l3_lattices @ SV401 )
          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV401 ) )
          | ( v14_lattices @ SV168 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9984]) ).

thf(10088,plain,
    ! [SV168: $i,SV402: $i] :
      ( ( ( ( v3_struct_0 @ SV402 )
          | ~ ( v10_lattices @ SV402 )
          | ~ ( l3_lattices @ SV402 )
          | ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV402 ) )
          | ( v14_lattices @ SV402 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[9985]) ).

thf(10089,plain,
    ! [SV384: $i,SV374: $i] :
      ( ( ( ( v3_struct_0 @ SV374 )
          | ~ ( v10_lattices @ SV374 )
          | ~ ( l3_lattices @ SV374 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV384 @ SV374 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k5_filter_1 @ SV374 @ SV384 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9986]) ).

thf(10090,plain,
    ! [SV385: $i,SV375: $i] :
      ( ( ( ( v3_struct_0 @ SV375 )
          | ~ ( v10_lattices @ SV375 )
          | ~ ( l3_lattices @ SV375 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV385 @ SV375 ) )
        = $true )
      | ( ( v3_lattices @ ( k5_filter_1 @ SV375 @ SV385 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[9987]) ).

thf(10091,plain,
    ! [SV353: $i,SV333: $i] :
      ( ( ( v10_lattices @ SV333 )
        = $false )
      | ( ( v3_struct_0 @ SV333 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV333 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV353 @ SV333 ) )
        = $true )
      | ( ( v10_lattices @ ( k5_filter_1 @ SV333 @ SV353 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9988]) ).

thf(10092,plain,
    ! [SV354: $i,SV334: $i] :
      ( ( ( l1_pre_topc @ SV334 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV334 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV354 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV354 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV334 @ SV354 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9990]) ).

thf(10093,plain,
    ! [SV355: $i,SV335: $i] :
      ( ( ( l1_pre_topc @ SV335 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV335 ) )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV355 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV355 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV335 @ SV355 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9991]) ).

thf(10094,plain,
    ! [SV279: $i,SV306: $i] :
      ( ( ( l1_pre_topc @ SV306 )
        = $false )
      | ( ( v2_pre_topc @ SV279 )
        = $false )
      | ( ( l1_pre_topc @ SV279 )
        = $false )
      | ( ( v2_pre_topc @ SV306 )
        = $false )
      | ( ( l1_pre_topc @ ( k6_borsuk_1 @ SV279 @ SV306 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9992]) ).

thf(10095,plain,
    ! [SV280: $i] :
      ( ( ( v16_lattices @ SV280 )
        = $false )
      | ( ( v11_lattices @ SV280 )
        = $false )
      | ( ( v3_struct_0 @ SV280 )
        = $true )
      | ( ( v15_lattices @ SV280 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV280 ) )
        = $true )
      | ( ( l3_lattices @ SV280 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9993]) ).

thf(10096,plain,
    ! [SV281: $i] :
      ( ( ( v16_lattices @ SV281 )
        = $false )
      | ( ( v11_lattices @ SV281 )
        = $false )
      | ( ( v3_struct_0 @ SV281 )
        = $true )
      | ( ( v15_lattices @ SV281 )
        = $false )
      | ( ( v17_lattices @ SV281 )
        = $true )
      | ( ( l3_lattices @ SV281 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9994]) ).

thf(10097,plain,
    ! [SV336: $i] :
      ( ( ( v3_struct_0 @ ( k6_lopclset @ SV336 ) )
        = $false )
      | ( ( v2_pre_topc @ SV336 )
        = $false )
      | ( ( v3_struct_0 @ SV336 )
        = $true )
      | ( ( l1_pre_topc @ SV336 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[9995]) ).

thf(10098,plain,
    ! [SV338: $i] :
      ( ( ( v1_funct_1 @ SV338 )
        = $false )
      | ( ( v1_relat_1 @ SV338 )
        = $false )
      | ( ( v1_xboole_0 @ SV338 )
        = $false )
      | ( ( v1_funct_1 @ SV338 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9997]) ).

thf(10099,plain,
    ! [SV339: $i] :
      ( ( ( v1_funct_1 @ SV339 )
        = $false )
      | ( ( v1_relat_1 @ SV339 )
        = $false )
      | ( ( v1_xboole_0 @ SV339 )
        = $false )
      | ( ( v1_relat_1 @ SV339 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9998]) ).

thf(10100,plain,
    ! [SV340: $i] :
      ( ( ( v10_lattices @ SV340 )
        = $false )
      | ( ( v3_struct_0 @ SV340 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV340 ) )
        = $true )
      | ( ( v3_realset2 @ SV340 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV340 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[9999]) ).

thf(10101,plain,
    ! [SV341: $i] :
      ( ( ( v10_lattices @ SV341 )
        = $false )
      | ( ( v3_struct_0 @ SV341 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV341 ) )
        = $true )
      | ( ( v3_realset2 @ SV341 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV341 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV341 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10000]) ).

thf(10102,plain,
    ! [SV169: $i,SV376: $i] :
      ( ( ( v3_struct_0 @ SV376 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV376 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV376 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV169 )
          | ~ ( v13_lattices @ SV376 )
          | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV376 ) ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10002]) ).

thf(10103,plain,
    ! [SV169: $i,SV403: $i] :
      ( ( ( ( v3_struct_0 @ SV403 )
          | ~ ( v10_lattices @ SV403 )
          | ~ ( l3_lattices @ SV403 )
          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV403 ) )
          | ( v13_lattices @ SV169 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10003]) ).

thf(10104,plain,
    ! [SV169: $i,SV404: $i] :
      ( ( ( ( v3_struct_0 @ SV404 )
          | ~ ( v10_lattices @ SV404 )
          | ~ ( l3_lattices @ SV404 )
          | ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV404 ) )
          | ( v13_lattices @ SV404 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10004]) ).

thf(10105,plain,
    ! [SV342: $i] :
      ( ( ( v10_lattices @ SV342 )
        = $false )
      | ( ( v3_struct_0 @ SV342 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV342 ) )
        = $true )
      | ( ( v3_realset2 @ SV342 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV342 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV342 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10005]) ).

thf(10106,plain,
    ! [SV343: $i] :
      ( ( ( v10_lattices @ SV343 )
        = $false )
      | ( ( v3_struct_0 @ SV343 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV343 ) )
        = $true )
      | ( ( v3_realset2 @ SV343 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV343 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV343 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10006]) ).

thf(10107,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ~ ( v3_struct_0 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v11_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[10008]) ).

thf(10108,plain,
    ! [SV405: $i] :
      ( ( ~ ( l3_lattices @ SV405 )
        | ( v3_struct_0 @ SV405 )
        | ~ ( v17_lattices @ SV405 )
        | ( v13_lattices @ SV405 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10009]) ).

thf(10109,plain,
    ! [SV377: $i] :
      ( ( ( ( v3_struct_0 @ SV377 )
          | ~ ( v17_lattices @ SV377 ) )
        = $true )
      | ( ( v14_lattices @ SV377 )
        = $true )
      | ( ( l3_lattices @ SV377 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10010]) ).

thf(10110,plain,
    ! [SV291: $i] :
      ( ( ( m1_subset_1 @ ( sK12_SY394 @ SV291 ) @ ( u1_struct_0 @ SV291 ) )
        = $true )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10012]) ).

thf(10111,plain,
    ! [SV291: $i] :
      ( ( ( ( ( sK11_B @ SV291 )
           != ( sK12_SY394 @ SV291 ) ) )
        = $true )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10013]) ).

thf(10112,plain,
    ! [SV361: $i,SV292: $i,SV389: $i] :
      ( ( ( ~ ( m1_subset_1 @ SV389 @ ( u1_struct_0 @ SV292 ) ) )
        = $true )
      | ( ( SV361 = SV389 )
        = $true )
      | ( ( m1_subset_1 @ SV361 @ ( u1_struct_0 @ SV292 ) )
        = $false )
      | ( ( v3_realset2 @ SV292 )
        = $false )
      | ( ( l1_struct_0 @ SV292 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10014]) ).

thf(10113,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                            ( ( v3_struct_0 @ SY535 )
                            | ~ ( v10_lattices @ SY535 )
                            | ~ ( l3_lattices @ SY535 )
                            | ( v3_struct_0 @ SV170 )
                            | ~ ( v10_lattices @ SV170 )
                            | ~ ( v15_lattices @ SV170 )
                            | ~ ( v16_lattices @ SV170 )
                            | ~ ( l3_lattices @ SV170 )
                            | ( v3_struct_0 @ SY535 )
                            | ~ ( v10_lattices @ SY535 )
                            | ~ ( v15_lattices @ SY535 )
                            | ~ ( v16_lattices @ SY535 )
                            | ~ ( l3_lattices @ SY535 )
                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                      | ~ ! [SY536: $i] :
                            ( ( v3_struct_0 @ SY536 )
                            | ~ ( v10_lattices @ SY536 )
                            | ~ ( l3_lattices @ SY536 )
                            | ( v3_struct_0 @ SV170 )
                            | ~ ( v10_lattices @ SV170 )
                            | ~ ( v15_lattices @ SV170 )
                            | ~ ( v16_lattices @ SV170 )
                            | ~ ( l3_lattices @ SV170 )
                            | ( v3_struct_0 @ SY536 )
                            | ~ ( v10_lattices @ SY536 )
                            | ~ ( v15_lattices @ SY536 )
                            | ~ ( v16_lattices @ SY536 )
                            | ~ ( l3_lattices @ SY536 )
                            | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                | ~ ! [SY537: $i] :
                      ( ( v3_struct_0 @ SY537 )
                      | ~ ( v10_lattices @ SY537 )
                      | ~ ( l3_lattices @ SY537 )
                      | ( v3_struct_0 @ SV170 )
                      | ~ ( v10_lattices @ SV170 )
                      | ~ ( v15_lattices @ SV170 )
                      | ~ ( v16_lattices @ SV170 )
                      | ~ ( l3_lattices @ SV170 )
                      | ( v3_struct_0 @ SY537 )
                      | ~ ( v10_lattices @ SY537 )
                      | ~ ( v15_lattices @ SY537 )
                      | ~ ( v16_lattices @ SY537 )
                      | ~ ( l3_lattices @ SY537 )
                      | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
          | ~ ! [SY538: $i] :
                ( ( v3_struct_0 @ SY538 )
                | ~ ( v10_lattices @ SY538 )
                | ~ ( l3_lattices @ SY538 )
                | ( v3_struct_0 @ SV170 )
                | ~ ( v10_lattices @ SV170 )
                | ~ ( v15_lattices @ SV170 )
                | ~ ( v16_lattices @ SV170 )
                | ~ ( l3_lattices @ SV170 )
                | ( v3_struct_0 @ SY538 )
                | ~ ( v10_lattices @ SY538 )
                | ~ ( v15_lattices @ SY538 )
                | ~ ( v16_lattices @ SY538 )
                | ~ ( l3_lattices @ SY538 )
                | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10015]) ).

thf(10114,plain,
    ! [SV170: $i,SV406: $i] :
      ( ( ( ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( l3_lattices @ SV406 )
          | ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( v15_lattices @ SV406 )
          | ~ ( v16_lattices @ SV406 )
          | ~ ( l3_lattices @ SV406 )
          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10016]) ).

thf(10115,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                          ( ( v3_struct_0 @ SY540 )
                                                          | ~ ( v10_lattices @ SY540 )
                                                          | ~ ( l3_lattices @ SY540 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                          | ~ ( v3_struct_0 @ SV170 ) )
                                                    | ~ ! [SY541: $i] :
                                                          ( ( v3_struct_0 @ SY541 )
                                                          | ~ ( v10_lattices @ SY541 )
                                                          | ~ ( l3_lattices @ SY541 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                          | ( v10_lattices @ SV170 ) ) )
                                              | ~ ! [SY542: $i] :
                                                    ( ( v3_struct_0 @ SY542 )
                                                    | ~ ( v10_lattices @ SY542 )
                                                    | ~ ( l3_lattices @ SY542 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                    | ( v15_lattices @ SV170 ) ) )
                                        | ~ ! [SY543: $i] :
                                              ( ( v3_struct_0 @ SY543 )
                                              | ~ ( v10_lattices @ SY543 )
                                              | ~ ( l3_lattices @ SY543 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                              | ( v16_lattices @ SV170 ) ) )
                                  | ~ ! [SY544: $i] :
                                        ( ( v3_struct_0 @ SY544 )
                                        | ~ ( v10_lattices @ SY544 )
                                        | ~ ( l3_lattices @ SY544 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                        | ( l3_lattices @ SV170 ) ) )
                            | ~ ! [SY545: $i] :
                                  ( ( v3_struct_0 @ SY545 )
                                  | ~ ( v10_lattices @ SY545 )
                                  | ~ ( l3_lattices @ SY545 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                  | ~ ( v3_struct_0 @ SY545 ) ) )
                      | ~ ! [SY546: $i] :
                            ( ( v3_struct_0 @ SY546 )
                            | ~ ( v10_lattices @ SY546 )
                            | ~ ( l3_lattices @ SY546 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                            | ( v10_lattices @ SY546 ) ) )
                | ~ ! [SY547: $i] :
                      ( ( v3_struct_0 @ SY547 )
                      | ~ ( v10_lattices @ SY547 )
                      | ~ ( l3_lattices @ SY547 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                      | ( v15_lattices @ SY547 ) ) )
          | ~ ! [SY548: $i] :
                ( ( v3_struct_0 @ SY548 )
                | ~ ( v10_lattices @ SY548 )
                | ~ ( l3_lattices @ SY548 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                | ( v16_lattices @ SY548 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10017]) ).

thf(10116,plain,
    ! [SV170: $i,SV407: $i] :
      ( ( ( ( v3_struct_0 @ SV407 )
          | ~ ( v10_lattices @ SV407 )
          | ~ ( l3_lattices @ SV407 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ( l3_lattices @ SV407 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10018]) ).

thf(10117,plain,
    ! [SV293: $i] :
      ( ( ( v11_lattices @ SV293 )
        = $false )
      | ( ( v15_lattices @ SV293 )
        = $false )
      | ( ( v16_lattices @ SV293 )
        = $false )
      | ( ( v17_lattices @ SV293 )
        = $true )
      | ( ( v3_struct_0 @ SV293 )
        = $true )
      | ( ( l3_lattices @ SV293 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10019]) ).

thf(10118,plain,
    ! [SV378: $i] :
      ( ( ( l3_lattices @ SV378 )
        = $false )
      | ( ( v3_struct_0 @ SV378 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV378 )
          | ( v15_lattices @ SV378 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10020]) ).

thf(10119,plain,
    ! [SV379: $i] :
      ( ( ( l3_lattices @ SV379 )
        = $false )
      | ( ( v3_struct_0 @ SV379 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV379 )
          | ( v16_lattices @ SV379 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10021]) ).

thf(10120,plain,
    ! [SV356: $i,SV346: $i] :
      ( ( ( v10_lattices @ SV346 )
        = $false )
      | ( ( v3_struct_0 @ SV346 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV346 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV356 @ SV346 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_0 @ SV346 @ SV356 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10023]) ).

thf(10121,plain,
    ! [SV357: $i,SV347: $i] :
      ( ( ( v10_lattices @ SV347 )
        = $false )
      | ( ( v3_struct_0 @ SV347 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV347 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV357 @ SV347 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_0 @ SV347 @ SV357 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10024]) ).

thf(10122,plain,
    ! [SV408: $i] :
      ( ( ( v3_struct_0 @ SV408 )
        | ~ ( v10_lattices @ SV408 )
        | ~ ( l3_lattices @ SV408 )
        | ( v3_struct_0 @ SV408 )
        | ~ ( v10_lattices @ SV408 )
        | ~ ( v11_lattices @ SV408 )
        | ~ ( l3_lattices @ SV408 )
        | ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10026]) ).

thf(10123,plain,
    ! [SV409: $i] :
      ( ( ( v3_struct_0 @ SV409 )
        | ~ ( v10_lattices @ SV409 )
        | ~ ( l3_lattices @ SV409 )
        | ( v3_struct_0 @ SV409 )
        | ~ ( v10_lattices @ SV409 )
        | ~ ( v11_lattices @ SV409 )
        | ~ ( l3_lattices @ SV409 )
        | ( v10_lattices @ ( k1_lattice2 @ SV409 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10027]) ).

thf(10124,plain,
    ! [SV380: $i] :
      ( ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV380 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV380 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV380 )
          | ~ ( v10_lattices @ SV380 )
          | ~ ( v11_lattices @ SV380 )
          | ~ ( l3_lattices @ SV380 )
          | ( v11_lattices @ ( k1_lattice2 @ SV380 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10028]) ).

thf(10125,plain,
    ! [SV348: $i] :
      ( ( ( ( v3_struct_0 @ SV348 )
          | ~ ( v10_lattices @ SV348 )
          | ~ ( v11_lattices @ SV348 )
          | ~ ( l3_lattices @ SV348 ) )
        = $true )
      | ( ( l3_lattices @ ( k1_lattice2 @ SV348 ) )
        = $true )
      | ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( l3_lattices @ SV348 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10029]) ).

thf(10126,plain,
    ! [SV410: $i] :
      ( ( ( v3_struct_0 @ SV410 )
        | ~ ( v10_lattices @ SV410 )
        | ~ ( l3_lattices @ SV410 )
        | ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
        | ~ ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
        | ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) )
        | ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) )
        | ~ ( v3_struct_0 @ SV410 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10030]) ).

thf(10127,plain,
    ! [SV411: $i] :
      ( ( ( v3_struct_0 @ SV411 )
        | ~ ( v10_lattices @ SV411 )
        | ~ ( l3_lattices @ SV411 )
        | ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
        | ~ ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
        | ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) )
        | ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) )
        | ( v10_lattices @ SV411 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10031]) ).

thf(10128,plain,
    ! [SV381: $i] :
      ( ( ( v3_struct_0 @ SV381 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV381 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV381 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) )
          | ( v11_lattices @ SV381 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10032]) ).

thf(10129,plain,
    ! [SV349: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $true )
      | ( ( v10_lattices @ SV349 )
        = $false )
      | ( ( v3_struct_0 @ SV349 )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10033]) ).

thf(10130,plain,
    ! [SV172: $i,SV22: $i,SV210: $i] :
      ( ( ( m1_filter_0 @ SV210 @ SV22 )
        = $false )
      | ( ( l3_lattices @ SV22 )
        = $false )
      | ( ( v10_lattices @ SV22 )
        = $false )
      | ( ( v3_struct_0 @ SV22 )
        = $true )
      | ( ( v17_lattices @ SV22 )
        = $false )
      | ( ( m1_filter_0 @ SV172 @ SV22 )
        = $false )
      | ( ( m1_filter_0 @ ( k7_filter_0 @ SV22 @ SV172 @ SV210 ) @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10034]) ).

thf(10131,plain,
    ! [SV312: $i,SV24: $i,SV390: $i] :
      ( ( ( ( v3_struct_0 @ SV390 )
          | ~ ( v10_lattices @ SV390 )
          | ~ ( l3_lattices @ SV390 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV24 @ SV312 )
          | ~ ( r1_filter_1 @ SV312 @ SV390 )
          | ( r1_filter_1 @ SV24 @ SV390 ) )
        = $true )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10035]) ).

thf(10132,plain,
    ! [SV173: $i,SV27: $i] :
      ( ( ( r1_filter_1 @ SV27 @ SV173 )
        = $false )
      | ( ( r1_filter_1 @ SV173 @ SV27 )
        = $true )
      | ( ( v10_lattices @ SV173 )
        = $false )
      | ( ( v3_struct_0 @ SV173 )
        = $true )
      | ( ( v10_lattices @ SV27 )
        = $false )
      | ( ( v3_struct_0 @ SV27 )
        = $true )
      | ( ( l3_lattices @ SV27 )
        = $false )
      | ( ( l3_lattices @ SV173 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10036]) ).

thf(10133,plain,
    ! [SV359: $i,SV122: $i,SV386: $i] :
      ( ( ( m1_filter_0 @ SV386 @ SV122 )
        = $false )
      | ( ( ( k3_filter_0 @ SV122 @ ( k4_subset_1 @ ( u1_struct_0 @ SV122 ) @ SV359 @ SV386 ) )
          = ( k7_filter_0 @ SV122 @ SV359 @ SV386 ) )
        = $true )
      | ( ( m1_filter_0 @ SV359 @ SV122 )
        = $false )
      | ( ( v17_lattices @ SV122 )
        = $false )
      | ( ( v3_struct_0 @ SV122 )
        = $true )
      | ( ( v10_lattices @ SV122 )
        = $false )
      | ( ( l3_lattices @ SV122 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10037]) ).

thf(10134,plain,
    ! [SV320: $i,SV127: $i] :
      ( ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV127 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV127 ) )
        = $true )
      | ( ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SV320 ) )
        = $true )
      | ( ( m1_filter_0 @ SV320 @ SV127 )
        = $false )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( l3_lattices @ SV127 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10038]) ).

thf(10135,plain,
    ! [SV201: $i,SV128: $i,SV219: $i] :
      ( ( ( m1_filter_0 @ SV219 @ SV128 )
        = $false )
      | ( ( l3_lattices @ SV128 )
        = $false )
      | ( ( v10_lattices @ SV128 )
        = $false )
      | ( ( v3_struct_0 @ SV128 )
        = $true )
      | ( ( v11_lattices @ SV128 )
        = $false )
      | ( ( m1_filter_0 @ SV201 @ SV128 )
        = $false )
      | ( ( m1_filter_0 @ ( k6_filter_0 @ SV128 @ SV201 @ SV219 ) @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10039]) ).

thf(10136,plain,
    ! [SV202: $i,SV129: $i,SV220: $i] :
      ( ( ( m1_filter_0 @ SV220 @ SV129 )
        = $false )
      | ( ( l3_lattices @ SV129 )
        = $false )
      | ( ( v10_lattices @ SV129 )
        = $false )
      | ( ( v3_struct_0 @ SV129 )
        = $true )
      | ( ( v17_lattices @ SV129 )
        = $false )
      | ( ( m1_filter_0 @ SV202 @ SV129 )
        = $false )
      | ( ( ( k7_filter_0 @ SV129 @ SV202 @ SV220 )
          = ( k5_filter_0 @ SV129 @ SV202 @ SV220 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10040]) ).

thf(10137,plain,
    ! [SV140: $i,SV322: $i] :
      ( ( ( l3_lattices @ SV322 )
        = $false )
      | ( ( v10_lattices @ SV322 )
        = $false )
      | ( ( v3_struct_0 @ SV322 )
        = $true )
      | ( ( v11_lattices @ SV322 )
        = $false )
      | ( ( ! [SY579: $i] :
              ( ~ ( m1_lattice4 @ SY579 @ SV322 @ SV140 )
              | ~ ( v2_lattice4 @ SY579 @ SV322 @ SV140 )
              | ( v11_lattices @ SV140 ) ) )
        = $true )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10041]) ).

thf(10138,plain,
    ! [SV151: $i,SV364: $i] :
      ( ( ( v10_lattices @ SV364 )
        = $false )
      | ( ( v3_struct_0 @ SV364 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV364 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ SV151 )
          | ~ ( v12_lattices @ SV364 )
          | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV364 ) ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10042]) ).

thf(10139,plain,
    ! [SV151: $i,SV391: $i] :
      ( ( ( ( v3_struct_0 @ SV391 )
          | ~ ( v10_lattices @ SV391 )
          | ~ ( l3_lattices @ SV391 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV391 ) )
          | ( v12_lattices @ SV151 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10043]) ).

thf(10140,plain,
    ! [SV151: $i,SV392: $i] :
      ( ( ( ( v3_struct_0 @ SV392 )
          | ~ ( v10_lattices @ SV392 )
          | ~ ( l3_lattices @ SV392 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV392 ) )
          | ( v12_lattices @ SV392 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10044]) ).

thf(10141,plain,
    ! [SV152: $i,SV365: $i] :
      ( ( ( v10_lattices @ SV365 )
        = $false )
      | ( ( v3_struct_0 @ SV365 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV365 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV152 @ SV365 )
          | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV365 ) ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10045]) ).

thf(10142,plain,
    ! [SV152: $i,SV366: $i] :
      ( ( ( v10_lattices @ SV366 )
        = $false )
      | ( ( v3_struct_0 @ SV366 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV366 ) )
        = $true )
      | ( ( ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV366 ) )
          | ( r1_filter_1 @ SV152 @ SV366 ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10046]) ).

thf(10143,plain,
    ! [SV323: $i] :
      ( ( ( v17_lattices @ SV323 )
        = $false )
      | ( ( v3_struct_0 @ SV323 )
        = $true )
      | ( ( v10_lattices @ SV323 )
        = $false )
      | ( ( v3_realset2 @ SV323 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV323 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV323 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10048]) ).

thf(10144,plain,
    ! [SV324: $i] :
      ( ( ( v17_lattices @ SV324 )
        = $false )
      | ( ( v3_struct_0 @ SV324 )
        = $true )
      | ( ( v10_lattices @ SV324 )
        = $false )
      | ( ( v3_realset2 @ SV324 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV324 ) )
        = $true )
      | ( ( v10_lattices @ ( k12_lopclset @ SV324 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10049]) ).

thf(10145,plain,
    ! [SV350: $i,SV325: $i] :
      ( ( ( v3_struct_0 @ SV325 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV325 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV325 ) )
        = $true )
      | ( ( v3_struct_0 @ SV350 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10050]) ).

thf(10146,plain,
    ! [SV351: $i,SV326: $i] :
      ( ( ( v3_struct_0 @ SV326 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV326 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV326 ) )
        = $true )
      | ( ( v3_struct_0 @ SV351 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV351 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV351 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10051]) ).

thf(10147,plain,
    ! [SV234: $i,SV298: $i] :
      ( ( ( v2_pre_topc @ SV298 )
        = $false )
      | ( ( v3_struct_0 @ SV298 )
        = $true )
      | ( ( v2_pre_topc @ SV234 )
        = $false )
      | ( ( v3_struct_0 @ SV234 )
        = $true )
      | ( ( l1_pre_topc @ SV234 )
        = $false )
      | ( ( ~ ( l1_pre_topc @ SV298 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10052]) ).

thf(10148,plain,
    ! [SV156: $i,SV369: $i] :
      ( ( ( v10_lattices @ SV369 )
        = $false )
      | ( ( v3_struct_0 @ SV369 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV369 ) )
        = $true )
      | ( ( ! [SY589: $i] :
              ( ~ ( m1_lattice4 @ SY589 @ SV156 @ SV369 )
              | ~ ( v3_lattice4 @ SY589 @ SV156 @ SV369 ) )
          | ( r1_filter_1 @ SV156 @ SV369 ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10053]) ).

thf(10149,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( v10_lattices @ SV370 )
        = $false )
      | ( ( v3_struct_0 @ SV370 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV370 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV156 @ SV370 )
          | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
              | ~ ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10054]) ).

thf(10150,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ! [SY485: $i] :
                      ( ( v3_struct_0 @ SY485 )
                      | ~ ( v10_lattices @ SY485 )
                      | ~ ( l3_lattices @ SY485 )
                      | ( v3_struct_0 @ SV157 )
                      | ~ ( v10_lattices @ SV157 )
                      | ~ ( v17_lattices @ SV157 )
                      | ~ ( l3_lattices @ SV157 )
                      | ( v3_struct_0 @ SY485 )
                      | ~ ( v10_lattices @ SY485 )
                      | ~ ( v17_lattices @ SY485 )
                      | ~ ( l3_lattices @ SY485 )
                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
                | ~ ! [SY486: $i] :
                      ( ( v3_struct_0 @ SY486 )
                      | ~ ( v10_lattices @ SY486 )
                      | ~ ( l3_lattices @ SY486 )
                      | ( v3_struct_0 @ SV157 )
                      | ~ ( v10_lattices @ SV157 )
                      | ~ ( v17_lattices @ SV157 )
                      | ~ ( l3_lattices @ SV157 )
                      | ( v3_struct_0 @ SY486 )
                      | ~ ( v10_lattices @ SY486 )
                      | ~ ( v17_lattices @ SY486 )
                      | ~ ( l3_lattices @ SY486 )
                      | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10056]) ).

thf(10151,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY487: $i] :
                ( ( v3_struct_0 @ SY487 )
                | ~ ( v10_lattices @ SY487 )
                | ~ ( l3_lattices @ SY487 )
                | ( v3_struct_0 @ SV157 )
                | ~ ( v10_lattices @ SV157 )
                | ~ ( v17_lattices @ SV157 )
                | ~ ( l3_lattices @ SV157 )
                | ( v3_struct_0 @ SY487 )
                | ~ ( v10_lattices @ SY487 )
                | ~ ( v17_lattices @ SY487 )
                | ~ ( l3_lattices @ SY487 )
                | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10056]) ).

thf(10152,plain,
    ! [SV157: $i,SV393: $i] :
      ( ( ( ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 )
          | ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 )
          | ~ ( v17_lattices @ SV393 )
          | ~ ( l3_lattices @ SV393 )
          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10057]) ).

thf(10153,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                              ( ( v3_struct_0 @ SY489 )
                                              | ~ ( v10_lattices @ SY489 )
                                              | ~ ( l3_lattices @ SY489 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                              | ~ ( v3_struct_0 @ SV157 ) )
                                        | ~ ! [SY490: $i] :
                                              ( ( v3_struct_0 @ SY490 )
                                              | ~ ( v10_lattices @ SY490 )
                                              | ~ ( l3_lattices @ SY490 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                              | ( v10_lattices @ SV157 ) ) )
                                  | ~ ! [SY491: $i] :
                                        ( ( v3_struct_0 @ SY491 )
                                        | ~ ( v10_lattices @ SY491 )
                                        | ~ ( l3_lattices @ SY491 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                        | ( v17_lattices @ SV157 ) ) )
                            | ~ ! [SY492: $i] :
                                  ( ( v3_struct_0 @ SY492 )
                                  | ~ ( v10_lattices @ SY492 )
                                  | ~ ( l3_lattices @ SY492 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                  | ( l3_lattices @ SV157 ) ) )
                      | ~ ! [SY493: $i] :
                            ( ( v3_struct_0 @ SY493 )
                            | ~ ( v10_lattices @ SY493 )
                            | ~ ( l3_lattices @ SY493 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                            | ~ ( v3_struct_0 @ SY493 ) ) )
                | ~ ! [SY494: $i] :
                      ( ( v3_struct_0 @ SY494 )
                      | ~ ( v10_lattices @ SY494 )
                      | ~ ( l3_lattices @ SY494 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                      | ( v10_lattices @ SY494 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10058]) ).

thf(10154,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY495: $i] :
                ( ( v3_struct_0 @ SY495 )
                | ~ ( v10_lattices @ SY495 )
                | ~ ( l3_lattices @ SY495 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
                | ( v17_lattices @ SY495 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10058]) ).

thf(10155,plain,
    ! [SV157: $i,SV394: $i] :
      ( ( ( ( v3_struct_0 @ SV394 )
          | ~ ( v10_lattices @ SV394 )
          | ~ ( l3_lattices @ SV394 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ( l3_lattices @ SV394 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10059]) ).

thf(10156,plain,
    ! [SV158: $i,SV371: $i] :
      ( ( ( v10_lattices @ SV371 )
        = $false )
      | ( ( v3_struct_0 @ SV371 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV371 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV158 )
          | ~ ( v3_filter_0 @ SV371 )
          | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV371 ) ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10060]) ).

thf(10157,plain,
    ! [SV158: $i,SV395: $i] :
      ( ( ( ( v3_struct_0 @ SV395 )
          | ~ ( v10_lattices @ SV395 )
          | ~ ( l3_lattices @ SV395 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV395 ) )
          | ( v3_filter_0 @ SV158 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10061]) ).

thf(10158,plain,
    ! [SV158: $i,SV396: $i] :
      ( ( ( ( v3_struct_0 @ SV396 )
          | ~ ( v10_lattices @ SV396 )
          | ~ ( l3_lattices @ SV396 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV396 ) )
          | ( v3_filter_0 @ SV396 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10062]) ).

thf(10159,plain,
    ! [SV160: $i] :
      ( ( ( ~ ~ ( ~ ! [SY501: $i] :
                      ( ( v3_struct_0 @ SY501 )
                      | ~ ( l3_lattices @ SY501 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                      | ~ ( v3_struct_0 @ SV160 ) )
                | ~ ! [SY502: $i] :
                      ( ( v3_struct_0 @ SY502 )
                      | ~ ( l3_lattices @ SY502 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                      | ( v10_lattices @ SV160 ) ) )
          | ~ ! [SY503: $i] :
                ( ( v3_struct_0 @ SY503 )
                | ~ ( l3_lattices @ SY503 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                | ( l3_lattices @ SV160 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10063]) ).

thf(10160,plain,
    ! [SV160: $i,SV412: $i] :
      ( ( ( ( v3_struct_0 @ SV412 )
          | ~ ( l3_lattices @ SV412 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( v3_struct_0 @ SV412 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10064]) ).

thf(10161,plain,
    ! [SV160: $i,SV383: $i] :
      ( ( ( l3_lattices @ SV383 )
        = $false )
      | ( ( v3_struct_0 @ SV383 )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ( v10_lattices @ SV383 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10065]) ).

thf(10162,plain,
    ! [SV352: $i,SV160: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV352 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) ) )
        = $true )
      | ( ( l3_lattices @ SV352 )
        = $true )
      | ( ( v3_struct_0 @ SV352 )
        = $true )
      | ( ( l3_lattices @ SV352 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10066]) ).

thf(10163,plain,
    ! [SV161: $i,SV387: $i] :
      ( ( ( m1_filter_0 @ SV387 @ SV161 )
        = $false )
      | ( ( ( SV387
            = ( k1_filter_0 @ SV161 ) )
          | ~ ( v2_filter_0 @ SV387 @ SV161 )
          | ( v1_filter_0 @ SV387 @ SV161 ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10067]) ).

thf(10164,plain,
    ! [SV161: $i] :
      ( ( ( ! [SY508: $i] :
              ( ~ ( m1_filter_0 @ SY508 @ SV161 )
              | ~ ( v1_filter_0 @ SY508 @ SV161 )
              | ( SY508
               != ( k1_filter_0 @ SV161 ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10068]) ).

thf(10165,plain,
    ! [SV161: $i] :
      ( ( ( ! [SY509: $i] :
              ( ~ ( m1_filter_0 @ SY509 @ SV161 )
              | ~ ( v1_filter_0 @ SY509 @ SV161 )
              | ( v2_filter_0 @ SY509 @ SV161 ) ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10069]) ).

thf(10166,plain,
    ! [SV162: $i] :
      ( ( ( ~ ( ~ ! [SY510: $i] :
                    ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                    | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
              | ~ ! [SY511: $i] :
                    ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                    | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10070]) ).

thf(10167,plain,
    ! [SV162: $i] :
      ( ( ( ! [SY512: $i] :
              ( ~ ( m1_filter_0 @ SY512 @ SV162 )
              | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SY512 ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10071]) ).

thf(10168,plain,
    ! [SV162: $i,SV388: $i] :
      ( ( ( m1_filter_0 @ SV388 @ SV162 )
        = $false )
      | ( ( l3_lattices @ ( k5_filter_1 @ SV162 @ SV388 ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10072]) ).

thf(10169,plain,
    ! [SV163: $i] :
      ( ( ( ~ ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
                | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10073]) ).

thf(10170,plain,
    ! [SV163: $i] :
      ( ( ( ~ ( v1_pre_topc @ ( sK7_B @ SV163 ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10073]) ).

thf(10171,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ! [SY514: $i] :
                      ( ( v3_struct_0 @ SY514 )
                      | ~ ( v10_lattices @ SY514 )
                      | ~ ( l3_lattices @ SY514 )
                      | ( v3_struct_0 @ SV164 )
                      | ~ ( v10_lattices @ SV164 )
                      | ~ ( v11_lattices @ SV164 )
                      | ~ ( l3_lattices @ SV164 )
                      | ( v3_struct_0 @ SY514 )
                      | ~ ( v10_lattices @ SY514 )
                      | ~ ( v11_lattices @ SY514 )
                      | ~ ( l3_lattices @ SY514 )
                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
                | ~ ! [SY515: $i] :
                      ( ( v3_struct_0 @ SY515 )
                      | ~ ( v10_lattices @ SY515 )
                      | ~ ( l3_lattices @ SY515 )
                      | ( v3_struct_0 @ SV164 )
                      | ~ ( v10_lattices @ SV164 )
                      | ~ ( v11_lattices @ SV164 )
                      | ~ ( l3_lattices @ SV164 )
                      | ( v3_struct_0 @ SY515 )
                      | ~ ( v10_lattices @ SY515 )
                      | ~ ( v11_lattices @ SY515 )
                      | ~ ( l3_lattices @ SY515 )
                      | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10074]) ).

thf(10172,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY516: $i] :
                ( ( v3_struct_0 @ SY516 )
                | ~ ( v10_lattices @ SY516 )
                | ~ ( l3_lattices @ SY516 )
                | ( v3_struct_0 @ SV164 )
                | ~ ( v10_lattices @ SV164 )
                | ~ ( v11_lattices @ SV164 )
                | ~ ( l3_lattices @ SV164 )
                | ( v3_struct_0 @ SY516 )
                | ~ ( v10_lattices @ SY516 )
                | ~ ( v11_lattices @ SY516 )
                | ~ ( l3_lattices @ SY516 )
                | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10074]) ).

thf(10173,plain,
    ! [SV164: $i,SV397: $i] :
      ( ( ( ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 )
          | ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 )
          | ~ ( v11_lattices @ SV397 )
          | ~ ( l3_lattices @ SV397 )
          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10075]) ).

thf(10174,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                              ( ( v3_struct_0 @ SY518 )
                                              | ~ ( v10_lattices @ SY518 )
                                              | ~ ( l3_lattices @ SY518 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                              | ~ ( v3_struct_0 @ SV164 ) )
                                        | ~ ! [SY519: $i] :
                                              ( ( v3_struct_0 @ SY519 )
                                              | ~ ( v10_lattices @ SY519 )
                                              | ~ ( l3_lattices @ SY519 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                              | ( v10_lattices @ SV164 ) ) )
                                  | ~ ! [SY520: $i] :
                                        ( ( v3_struct_0 @ SY520 )
                                        | ~ ( v10_lattices @ SY520 )
                                        | ~ ( l3_lattices @ SY520 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                        | ( v11_lattices @ SV164 ) ) )
                            | ~ ! [SY521: $i] :
                                  ( ( v3_struct_0 @ SY521 )
                                  | ~ ( v10_lattices @ SY521 )
                                  | ~ ( l3_lattices @ SY521 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                  | ( l3_lattices @ SV164 ) ) )
                      | ~ ! [SY522: $i] :
                            ( ( v3_struct_0 @ SY522 )
                            | ~ ( v10_lattices @ SY522 )
                            | ~ ( l3_lattices @ SY522 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                            | ~ ( v3_struct_0 @ SY522 ) ) )
                | ~ ! [SY523: $i] :
                      ( ( v3_struct_0 @ SY523 )
                      | ~ ( v10_lattices @ SY523 )
                      | ~ ( l3_lattices @ SY523 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                      | ( v10_lattices @ SY523 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10076]) ).

thf(10175,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY524: $i] :
                ( ( v3_struct_0 @ SY524 )
                | ~ ( v10_lattices @ SY524 )
                | ~ ( l3_lattices @ SY524 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
                | ( v11_lattices @ SY524 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10076]) ).

thf(10176,plain,
    ! [SV164: $i,SV398: $i] :
      ( ( ( ( v3_struct_0 @ SV398 )
          | ~ ( v10_lattices @ SV398 )
          | ~ ( l3_lattices @ SV398 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ( l3_lattices @ SV398 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10077]) ).

thf(10177,plain,
    ! [SV165: $i,SV372: $i] :
      ( ( ( v10_lattices @ SV372 )
        = $false )
      | ( ( v3_struct_0 @ SV372 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV372 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV165 )
          | ~ ( v15_lattices @ SV372 )
          | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV372 ) ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10078]) ).

thf(10178,plain,
    ! [SV165: $i,SV399: $i] :
      ( ( ( ( v3_struct_0 @ SV399 )
          | ~ ( v10_lattices @ SV399 )
          | ~ ( l3_lattices @ SV399 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV399 ) )
          | ( v15_lattices @ SV165 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10079]) ).

thf(10179,plain,
    ! [SV165: $i,SV400: $i] :
      ( ( ( ( v3_struct_0 @ SV400 )
          | ~ ( v10_lattices @ SV400 )
          | ~ ( l3_lattices @ SV400 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV400 ) )
          | ( v15_lattices @ SV400 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10080]) ).

thf(10180,plain,
    ! [SV167: $i] :
      ( ( ( m1_pre_topc @ ( sK8_B @ SV167 ) @ SV167 )
        = $true )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10081]) ).

thf(10181,plain,
    ! [SV167: $i] :
      ( ( ( v1_pre_topc @ ( sK8_B @ SV167 ) )
        = $true )
      | ( ( l1_pre_topc @ SV167 )
        = $false )
      | ( ( v2_pre_topc @ SV167 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10082]) ).

thf(10182,plain,
    ! [SV331: $i] :
      ( ( ( v1_lattice2 @ SV331 )
        = $false )
      | ( ( v13_lattices @ SV331 )
        = $true )
      | ( ( v10_lattices @ SV331 )
        = $false )
      | ( ( v3_struct_0 @ SV331 )
        = $true )
      | ( ( l3_lattices @ SV331 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10084]) ).

thf(10183,plain,
    ! [SV332: $i] :
      ( ( ( v1_lattice2 @ SV332 )
        = $false )
      | ( ( v3_filter_0 @ SV332 )
        = $true )
      | ( ( v10_lattices @ SV332 )
        = $false )
      | ( ( v3_struct_0 @ SV332 )
        = $true )
      | ( ( l3_lattices @ SV332 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10085]) ).

thf(10184,plain,
    ! [SV168: $i,SV373: $i] :
      ( ( ( v10_lattices @ SV373 )
        = $false )
      | ( ( v3_struct_0 @ SV373 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV373 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV168 )
          | ~ ( v14_lattices @ SV373 )
          | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV373 ) ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10086]) ).

thf(10185,plain,
    ! [SV168: $i,SV401: $i] :
      ( ( ( ( v3_struct_0 @ SV401 )
          | ~ ( v10_lattices @ SV401 )
          | ~ ( l3_lattices @ SV401 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV401 ) )
          | ( v14_lattices @ SV168 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10087]) ).

thf(10186,plain,
    ! [SV168: $i,SV402: $i] :
      ( ( ( ( v3_struct_0 @ SV402 )
          | ~ ( v10_lattices @ SV402 )
          | ~ ( l3_lattices @ SV402 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV402 ) )
          | ( v14_lattices @ SV402 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10088]) ).

thf(10187,plain,
    ! [SV384: $i,SV374: $i] :
      ( ( ( ( v3_struct_0 @ SV374 )
          | ~ ( v10_lattices @ SV374 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV374 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV384 @ SV374 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k5_filter_1 @ SV374 @ SV384 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10089]) ).

thf(10188,plain,
    ! [SV385: $i,SV375: $i] :
      ( ( ( ( v3_struct_0 @ SV375 )
          | ~ ( v10_lattices @ SV375 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV375 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV385 @ SV375 ) )
        = $true )
      | ( ( v3_lattices @ ( k5_filter_1 @ SV375 @ SV385 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10090]) ).

thf(10189,plain,
    ! [SV353: $i,SV333: $i] :
      ( ( ( l3_lattices @ SV333 )
        = $false )
      | ( ( v3_struct_0 @ SV333 )
        = $true )
      | ( ( v10_lattices @ SV333 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV353 @ SV333 ) )
        = $true )
      | ( ( v10_lattices @ ( k5_filter_1 @ SV333 @ SV353 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10091]) ).

thf(10190,plain,
    ! [SV354: $i,SV334: $i] :
      ( ( ( v2_pre_topc @ SV334 )
        = $false )
      | ( ( l1_pre_topc @ SV334 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV354 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV354 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV334 @ SV354 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10092]) ).

thf(10191,plain,
    ! [SV355: $i,SV335: $i] :
      ( ( ( v2_pre_topc @ SV335 )
        = $false )
      | ( ( l1_pre_topc @ SV335 )
        = $false )
      | ( ( ~ ( v2_pre_topc @ SV355 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV355 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV335 @ SV355 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10093]) ).

thf(10192,plain,
    ! [SV280: $i] :
      ( ( ( v3_struct_0 @ SV280 )
        = $false )
      | ( ( v15_lattices @ SV280 )
        = $false )
      | ( ( v3_struct_0 @ SV280 )
        = $true )
      | ( ( v11_lattices @ SV280 )
        = $false )
      | ( ( v16_lattices @ SV280 )
        = $false )
      | ( ( l3_lattices @ SV280 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10095]) ).

thf(10193,plain,
    ! [SV340: $i] :
      ( ( ( v17_lattices @ SV340 )
        = $false )
      | ( ( v3_struct_0 @ SV340 )
        = $true )
      | ( ( v10_lattices @ SV340 )
        = $false )
      | ( ( v3_realset2 @ SV340 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV340 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10100]) ).

thf(10194,plain,
    ! [SV341: $i] :
      ( ( ( v17_lattices @ SV341 )
        = $false )
      | ( ( v3_struct_0 @ SV341 )
        = $true )
      | ( ( v10_lattices @ SV341 )
        = $false )
      | ( ( v3_realset2 @ SV341 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV341 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV341 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10101]) ).

thf(10195,plain,
    ! [SV169: $i,SV376: $i] :
      ( ( ( v10_lattices @ SV376 )
        = $false )
      | ( ( v3_struct_0 @ SV376 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV376 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV169 )
          | ~ ( v13_lattices @ SV376 )
          | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV376 ) ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10102]) ).

thf(10196,plain,
    ! [SV169: $i,SV403: $i] :
      ( ( ( ( v3_struct_0 @ SV403 )
          | ~ ( v10_lattices @ SV403 )
          | ~ ( l3_lattices @ SV403 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV403 ) )
          | ( v13_lattices @ SV169 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10103]) ).

thf(10197,plain,
    ! [SV169: $i,SV404: $i] :
      ( ( ( ( v3_struct_0 @ SV404 )
          | ~ ( v10_lattices @ SV404 )
          | ~ ( l3_lattices @ SV404 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV404 ) )
          | ( v13_lattices @ SV404 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10104]) ).

thf(10198,plain,
    ! [SV342: $i] :
      ( ( ( v17_lattices @ SV342 )
        = $false )
      | ( ( v3_struct_0 @ SV342 )
        = $true )
      | ( ( v10_lattices @ SV342 )
        = $false )
      | ( ( v3_realset2 @ SV342 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV342 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV342 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10105]) ).

thf(10199,plain,
    ! [SV343: $i] :
      ( ( ( v17_lattices @ SV343 )
        = $false )
      | ( ( v3_struct_0 @ SV343 )
        = $true )
      | ( ( v10_lattices @ SV343 )
        = $false )
      | ( ( v3_realset2 @ SV343 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV343 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV343 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10106]) ).

thf(10200,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ~ ( v3_struct_0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[10107]) ).

thf(10201,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( l3_lattices @ SX0 )
            | ( v3_struct_0 @ SX0 )
            | ~ ( v17_lattices @ SX0 )
            | ( v11_lattices @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[10107]) ).

thf(10202,plain,
    ! [SV405: $i] :
      ( ( ( ~ ( l3_lattices @ SV405 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV405 )
          | ~ ( v17_lattices @ SV405 )
          | ( v13_lattices @ SV405 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10108]) ).

thf(10203,plain,
    ! [SV377: $i] :
      ( ( ( v3_struct_0 @ SV377 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV377 ) )
        = $true )
      | ( ( v14_lattices @ SV377 )
        = $true )
      | ( ( l3_lattices @ SV377 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10109]) ).

thf(10204,plain,
    ! [SV291: $i] :
      ( ( ( ( sK11_B @ SV291 )
          = ( sK12_SY394 @ SV291 ) )
        = $false )
      | ( ( v3_realset2 @ SV291 )
        = $true )
      | ( ( l1_struct_0 @ SV291 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10111]) ).

thf(10205,plain,
    ! [SV361: $i,SV292: $i,SV389: $i] :
      ( ( ( m1_subset_1 @ SV389 @ ( u1_struct_0 @ SV292 ) )
        = $false )
      | ( ( SV361 = SV389 )
        = $true )
      | ( ( m1_subset_1 @ SV361 @ ( u1_struct_0 @ SV292 ) )
        = $false )
      | ( ( v3_realset2 @ SV292 )
        = $false )
      | ( ( l1_struct_0 @ SV292 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10112]) ).

thf(10206,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY535: $i] :
                            ( ( v3_struct_0 @ SY535 )
                            | ~ ( v10_lattices @ SY535 )
                            | ~ ( l3_lattices @ SY535 )
                            | ( v3_struct_0 @ SV170 )
                            | ~ ( v10_lattices @ SV170 )
                            | ~ ( v15_lattices @ SV170 )
                            | ~ ( v16_lattices @ SV170 )
                            | ~ ( l3_lattices @ SV170 )
                            | ( v3_struct_0 @ SY535 )
                            | ~ ( v10_lattices @ SY535 )
                            | ~ ( v15_lattices @ SY535 )
                            | ~ ( v16_lattices @ SY535 )
                            | ~ ( l3_lattices @ SY535 )
                            | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                      | ~ ! [SY536: $i] :
                            ( ( v3_struct_0 @ SY536 )
                            | ~ ( v10_lattices @ SY536 )
                            | ~ ( l3_lattices @ SY536 )
                            | ( v3_struct_0 @ SV170 )
                            | ~ ( v10_lattices @ SV170 )
                            | ~ ( v15_lattices @ SV170 )
                            | ~ ( v16_lattices @ SV170 )
                            | ~ ( l3_lattices @ SV170 )
                            | ( v3_struct_0 @ SY536 )
                            | ~ ( v10_lattices @ SY536 )
                            | ~ ( v15_lattices @ SY536 )
                            | ~ ( v16_lattices @ SY536 )
                            | ~ ( l3_lattices @ SY536 )
                            | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
                | ~ ! [SY537: $i] :
                      ( ( v3_struct_0 @ SY537 )
                      | ~ ( v10_lattices @ SY537 )
                      | ~ ( l3_lattices @ SY537 )
                      | ( v3_struct_0 @ SV170 )
                      | ~ ( v10_lattices @ SV170 )
                      | ~ ( v15_lattices @ SV170 )
                      | ~ ( v16_lattices @ SV170 )
                      | ~ ( l3_lattices @ SV170 )
                      | ( v3_struct_0 @ SY537 )
                      | ~ ( v10_lattices @ SY537 )
                      | ~ ( v15_lattices @ SY537 )
                      | ~ ( v16_lattices @ SY537 )
                      | ~ ( l3_lattices @ SY537 )
                      | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10113]) ).

thf(10207,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY538: $i] :
                ( ( v3_struct_0 @ SY538 )
                | ~ ( v10_lattices @ SY538 )
                | ~ ( l3_lattices @ SY538 )
                | ( v3_struct_0 @ SV170 )
                | ~ ( v10_lattices @ SV170 )
                | ~ ( v15_lattices @ SV170 )
                | ~ ( v16_lattices @ SV170 )
                | ~ ( l3_lattices @ SV170 )
                | ( v3_struct_0 @ SY538 )
                | ~ ( v10_lattices @ SY538 )
                | ~ ( v15_lattices @ SY538 )
                | ~ ( v16_lattices @ SY538 )
                | ~ ( l3_lattices @ SY538 )
                | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10113]) ).

thf(10208,plain,
    ! [SV170: $i,SV406: $i] :
      ( ( ( ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( v15_lattices @ SV406 )
          | ~ ( v16_lattices @ SV406 )
          | ~ ( l3_lattices @ SV406 )
          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10114]) ).

thf(10209,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                          ( ( v3_struct_0 @ SY540 )
                                                          | ~ ( v10_lattices @ SY540 )
                                                          | ~ ( l3_lattices @ SY540 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                          | ~ ( v3_struct_0 @ SV170 ) )
                                                    | ~ ! [SY541: $i] :
                                                          ( ( v3_struct_0 @ SY541 )
                                                          | ~ ( v10_lattices @ SY541 )
                                                          | ~ ( l3_lattices @ SY541 )
                                                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                          | ( v10_lattices @ SV170 ) ) )
                                              | ~ ! [SY542: $i] :
                                                    ( ( v3_struct_0 @ SY542 )
                                                    | ~ ( v10_lattices @ SY542 )
                                                    | ~ ( l3_lattices @ SY542 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                    | ( v15_lattices @ SV170 ) ) )
                                        | ~ ! [SY543: $i] :
                                              ( ( v3_struct_0 @ SY543 )
                                              | ~ ( v10_lattices @ SY543 )
                                              | ~ ( l3_lattices @ SY543 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                              | ( v16_lattices @ SV170 ) ) )
                                  | ~ ! [SY544: $i] :
                                        ( ( v3_struct_0 @ SY544 )
                                        | ~ ( v10_lattices @ SY544 )
                                        | ~ ( l3_lattices @ SY544 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                        | ( l3_lattices @ SV170 ) ) )
                            | ~ ! [SY545: $i] :
                                  ( ( v3_struct_0 @ SY545 )
                                  | ~ ( v10_lattices @ SY545 )
                                  | ~ ( l3_lattices @ SY545 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                  | ~ ( v3_struct_0 @ SY545 ) ) )
                      | ~ ! [SY546: $i] :
                            ( ( v3_struct_0 @ SY546 )
                            | ~ ( v10_lattices @ SY546 )
                            | ~ ( l3_lattices @ SY546 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                            | ( v10_lattices @ SY546 ) ) )
                | ~ ! [SY547: $i] :
                      ( ( v3_struct_0 @ SY547 )
                      | ~ ( v10_lattices @ SY547 )
                      | ~ ( l3_lattices @ SY547 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                      | ( v15_lattices @ SY547 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10115]) ).

thf(10210,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY548: $i] :
                ( ( v3_struct_0 @ SY548 )
                | ~ ( v10_lattices @ SY548 )
                | ~ ( l3_lattices @ SY548 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
                | ( v16_lattices @ SY548 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10115]) ).

thf(10211,plain,
    ! [SV170: $i,SV407: $i] :
      ( ( ( ( v3_struct_0 @ SV407 )
          | ~ ( v10_lattices @ SV407 )
          | ~ ( l3_lattices @ SV407 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ( l3_lattices @ SV407 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10116]) ).

thf(10212,plain,
    ! [SV378: $i] :
      ( ( ( ~ ( v17_lattices @ SV378 ) )
        = $true )
      | ( ( v15_lattices @ SV378 )
        = $true )
      | ( ( v3_struct_0 @ SV378 )
        = $true )
      | ( ( l3_lattices @ SV378 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10118]) ).

thf(10213,plain,
    ! [SV379: $i] :
      ( ( ( ~ ( v17_lattices @ SV379 ) )
        = $true )
      | ( ( v16_lattices @ SV379 )
        = $true )
      | ( ( v3_struct_0 @ SV379 )
        = $true )
      | ( ( l3_lattices @ SV379 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10119]) ).

thf(10214,plain,
    ! [SV356: $i,SV346: $i] :
      ( ( ( l3_lattices @ SV346 )
        = $false )
      | ( ( v3_struct_0 @ SV346 )
        = $true )
      | ( ( v10_lattices @ SV346 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV356 @ SV346 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_0 @ SV346 @ SV356 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10120]) ).

thf(10215,plain,
    ! [SV357: $i,SV347: $i] :
      ( ( ( l3_lattices @ SV347 )
        = $false )
      | ( ( v3_struct_0 @ SV347 )
        = $true )
      | ( ( v10_lattices @ SV347 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV357 @ SV347 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_0 @ SV347 @ SV357 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10121]) ).

thf(10216,plain,
    ! [SV408: $i] :
      ( ( ( ( v3_struct_0 @ SV408 )
          | ~ ( v10_lattices @ SV408 )
          | ~ ( l3_lattices @ SV408 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV408 )
          | ~ ( v10_lattices @ SV408 )
          | ~ ( v11_lattices @ SV408 )
          | ~ ( l3_lattices @ SV408 )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10122]) ).

thf(10217,plain,
    ! [SV409: $i] :
      ( ( ( ( v3_struct_0 @ SV409 )
          | ~ ( v10_lattices @ SV409 )
          | ~ ( l3_lattices @ SV409 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV409 )
          | ~ ( v10_lattices @ SV409 )
          | ~ ( v11_lattices @ SV409 )
          | ~ ( l3_lattices @ SV409 )
          | ( v10_lattices @ ( k1_lattice2 @ SV409 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10123]) ).

thf(10218,plain,
    ! [SV380: $i] :
      ( ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV380 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV380 )
          | ~ ( v10_lattices @ SV380 )
          | ~ ( v11_lattices @ SV380 )
          | ~ ( l3_lattices @ SV380 )
          | ( v11_lattices @ ( k1_lattice2 @ SV380 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10124]) ).

thf(10219,plain,
    ! [SV348: $i] :
      ( ( ( ( v3_struct_0 @ SV348 )
          | ~ ( v10_lattices @ SV348 )
          | ~ ( v11_lattices @ SV348 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV348 ) )
        = $true )
      | ( ( l3_lattices @ ( k1_lattice2 @ SV348 ) )
        = $true )
      | ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( l3_lattices @ SV348 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10125]) ).

thf(10220,plain,
    ! [SV410: $i] :
      ( ( ( ( v3_struct_0 @ SV410 )
          | ~ ( v10_lattices @ SV410 )
          | ~ ( l3_lattices @ SV410 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v3_struct_0 @ SV410 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10126]) ).

thf(10221,plain,
    ! [SV411: $i] :
      ( ( ( ( v3_struct_0 @ SV411 )
          | ~ ( v10_lattices @ SV411 )
          | ~ ( l3_lattices @ SV411 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) )
          | ( v10_lattices @ SV411 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10127]) ).

thf(10222,plain,
    ! [SV381: $i] :
      ( ( ( v10_lattices @ SV381 )
        = $false )
      | ( ( v3_struct_0 @ SV381 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV381 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) )
          | ( v11_lattices @ SV381 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10128]) ).

thf(10223,plain,
    ! [SV349: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $true )
      | ( ( v10_lattices @ SV349 )
        = $false )
      | ( ( v3_struct_0 @ SV349 )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10129]) ).

thf(10224,plain,
    ! [SV312: $i,SV24: $i,SV390: $i] :
      ( ( ( ( v3_struct_0 @ SV390 )
          | ~ ( v10_lattices @ SV390 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV390 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV24 @ SV312 )
          | ~ ( r1_filter_1 @ SV312 @ SV390 )
          | ( r1_filter_1 @ SV24 @ SV390 ) )
        = $true )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10131]) ).

thf(10225,plain,
    ! [SV320: $i,SV127: $i] :
      ( ( ( v3_filter_0 @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV127 ) )
        = $true )
      | ( ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SV320 ) )
        = $true )
      | ( ( m1_filter_0 @ SV320 @ SV127 )
        = $false )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( l3_lattices @ SV127 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10134]) ).

thf(10226,plain,
    ! [SV140: $i,SV322: $i,SV413: $i] :
      ( ( ( ~ ( m1_lattice4 @ SV413 @ SV322 @ SV140 )
          | ~ ( v2_lattice4 @ SV413 @ SV322 @ SV140 )
          | ( v11_lattices @ SV140 ) )
        = $true )
      | ( ( v11_lattices @ SV322 )
        = $false )
      | ( ( v3_struct_0 @ SV322 )
        = $true )
      | ( ( v10_lattices @ SV322 )
        = $false )
      | ( ( l3_lattices @ SV322 )
        = $false )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10137]) ).

thf(10227,plain,
    ! [SV151: $i,SV364: $i] :
      ( ( ( l3_lattices @ SV364 )
        = $false )
      | ( ( v3_struct_0 @ SV364 )
        = $true )
      | ( ( v10_lattices @ SV364 )
        = $false )
      | ( ( ~ ( v12_lattices @ SV151 )
          | ~ ( v12_lattices @ SV364 )
          | ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV364 ) ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10138]) ).

thf(10228,plain,
    ! [SV151: $i,SV391: $i] :
      ( ( ( ( v3_struct_0 @ SV391 )
          | ~ ( v10_lattices @ SV391 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV391 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV391 ) )
          | ( v12_lattices @ SV151 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10139]) ).

thf(10229,plain,
    ! [SV151: $i,SV392: $i] :
      ( ( ( ( v3_struct_0 @ SV392 )
          | ~ ( v10_lattices @ SV392 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV392 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV392 ) )
          | ( v12_lattices @ SV392 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10140]) ).

thf(10230,plain,
    ! [SV152: $i,SV365: $i] :
      ( ( ( l3_lattices @ SV365 )
        = $false )
      | ( ( v3_struct_0 @ SV365 )
        = $true )
      | ( ( v10_lattices @ SV365 )
        = $false )
      | ( ( ~ ( r1_filter_1 @ SV152 @ SV365 )
          | ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV365 ) ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10141]) ).

thf(10231,plain,
    ! [SV152: $i,SV366: $i] :
      ( ( ( l3_lattices @ SV366 )
        = $false )
      | ( ( v3_struct_0 @ SV366 )
        = $true )
      | ( ( v10_lattices @ SV366 )
        = $false )
      | ( ( ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV366 ) )
          | ( r1_filter_1 @ SV152 @ SV366 ) )
        = $true )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10142]) ).

thf(10232,plain,
    ! [SV323: $i] :
      ( ( ( l3_lattices @ SV323 )
        = $false )
      | ( ( v3_realset2 @ SV323 )
        = $true )
      | ( ( v10_lattices @ SV323 )
        = $false )
      | ( ( v3_struct_0 @ SV323 )
        = $true )
      | ( ( v17_lattices @ SV323 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV323 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10143]) ).

thf(10233,plain,
    ! [SV324: $i] :
      ( ( ( l3_lattices @ SV324 )
        = $false )
      | ( ( v3_realset2 @ SV324 )
        = $true )
      | ( ( v10_lattices @ SV324 )
        = $false )
      | ( ( v3_struct_0 @ SV324 )
        = $true )
      | ( ( v17_lattices @ SV324 )
        = $false )
      | ( ( v10_lattices @ ( k12_lopclset @ SV324 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10144]) ).

thf(10234,plain,
    ! [SV350: $i,SV325: $i] :
      ( ( ( v2_pre_topc @ SV325 )
        = $false )
      | ( ( v3_struct_0 @ SV325 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV325 ) )
        = $true )
      | ( ( v3_struct_0 @ SV350 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10145]) ).

thf(10235,plain,
    ! [SV351: $i,SV326: $i] :
      ( ( ( v2_pre_topc @ SV326 )
        = $false )
      | ( ( v3_struct_0 @ SV326 )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV326 ) )
        = $true )
      | ( ( v3_struct_0 @ SV351 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV351 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV351 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10146]) ).

thf(10236,plain,
    ! [SV234: $i,SV298: $i] :
      ( ( ( l1_pre_topc @ SV298 )
        = $false )
      | ( ( l1_pre_topc @ SV234 )
        = $false )
      | ( ( v3_struct_0 @ SV234 )
        = $true )
      | ( ( v2_pre_topc @ SV234 )
        = $false )
      | ( ( v3_struct_0 @ SV298 )
        = $true )
      | ( ( v2_pre_topc @ SV298 )
        = $false )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV234 @ SV298 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10147]) ).

thf(10237,plain,
    ! [SV156: $i,SV369: $i] :
      ( ( ( l3_lattices @ SV369 )
        = $false )
      | ( ( v3_struct_0 @ SV369 )
        = $true )
      | ( ( v10_lattices @ SV369 )
        = $false )
      | ( ( ! [SY589: $i] :
              ( ~ ( m1_lattice4 @ SY589 @ SV156 @ SV369 )
              | ~ ( v3_lattice4 @ SY589 @ SV156 @ SV369 ) )
          | ( r1_filter_1 @ SV156 @ SV369 ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10148]) ).

thf(10238,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( l3_lattices @ SV370 )
        = $false )
      | ( ( v3_struct_0 @ SV370 )
        = $true )
      | ( ( v10_lattices @ SV370 )
        = $false )
      | ( ( ~ ( r1_filter_1 @ SV156 @ SV370 )
          | ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
              | ~ ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) ) )
        = $true )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10149]) ).

thf(10239,plain,
    ! [SV157: $i] :
      ( ( ( ~ ( ~ ! [SY485: $i] :
                    ( ( v3_struct_0 @ SY485 )
                    | ~ ( v10_lattices @ SY485 )
                    | ~ ( l3_lattices @ SY485 )
                    | ( v3_struct_0 @ SV157 )
                    | ~ ( v10_lattices @ SV157 )
                    | ~ ( v17_lattices @ SV157 )
                    | ~ ( l3_lattices @ SV157 )
                    | ( v3_struct_0 @ SY485 )
                    | ~ ( v10_lattices @ SY485 )
                    | ~ ( v17_lattices @ SY485 )
                    | ~ ( l3_lattices @ SY485 )
                    | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
              | ~ ! [SY486: $i] :
                    ( ( v3_struct_0 @ SY486 )
                    | ~ ( v10_lattices @ SY486 )
                    | ~ ( l3_lattices @ SY486 )
                    | ( v3_struct_0 @ SV157 )
                    | ~ ( v10_lattices @ SV157 )
                    | ~ ( v17_lattices @ SV157 )
                    | ~ ( l3_lattices @ SV157 )
                    | ( v3_struct_0 @ SY486 )
                    | ~ ( v10_lattices @ SY486 )
                    | ~ ( v17_lattices @ SY486 )
                    | ~ ( l3_lattices @ SY486 )
                    | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10150]) ).

thf(10240,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY487: $i] :
              ( ( v3_struct_0 @ SY487 )
              | ~ ( v10_lattices @ SY487 )
              | ~ ( l3_lattices @ SY487 )
              | ( v3_struct_0 @ SV157 )
              | ~ ( v10_lattices @ SV157 )
              | ~ ( v17_lattices @ SV157 )
              | ~ ( l3_lattices @ SV157 )
              | ( v3_struct_0 @ SY487 )
              | ~ ( v10_lattices @ SY487 )
              | ~ ( v17_lattices @ SY487 )
              | ~ ( l3_lattices @ SY487 )
              | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY487 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10151]) ).

thf(10241,plain,
    ! [SV157: $i,SV393: $i] :
      ( ( ( ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 )
          | ~ ( v17_lattices @ SV393 )
          | ~ ( l3_lattices @ SV393 )
          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10152]) ).

thf(10242,plain,
    ! [SV157: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                            ( ( v3_struct_0 @ SY489 )
                                            | ~ ( v10_lattices @ SY489 )
                                            | ~ ( l3_lattices @ SY489 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                            | ~ ( v3_struct_0 @ SV157 ) )
                                      | ~ ! [SY490: $i] :
                                            ( ( v3_struct_0 @ SY490 )
                                            | ~ ( v10_lattices @ SY490 )
                                            | ~ ( l3_lattices @ SY490 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                            | ( v10_lattices @ SV157 ) ) )
                                | ~ ! [SY491: $i] :
                                      ( ( v3_struct_0 @ SY491 )
                                      | ~ ( v10_lattices @ SY491 )
                                      | ~ ( l3_lattices @ SY491 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                      | ( v17_lattices @ SV157 ) ) )
                          | ~ ! [SY492: $i] :
                                ( ( v3_struct_0 @ SY492 )
                                | ~ ( v10_lattices @ SY492 )
                                | ~ ( l3_lattices @ SY492 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                                | ( l3_lattices @ SV157 ) ) )
                    | ~ ! [SY493: $i] :
                          ( ( v3_struct_0 @ SY493 )
                          | ~ ( v10_lattices @ SY493 )
                          | ~ ( l3_lattices @ SY493 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                          | ~ ( v3_struct_0 @ SY493 ) ) )
              | ~ ! [SY494: $i] :
                    ( ( v3_struct_0 @ SY494 )
                    | ~ ( v10_lattices @ SY494 )
                    | ~ ( l3_lattices @ SY494 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                    | ( v10_lattices @ SY494 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10153]) ).

thf(10243,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY495: $i] :
              ( ( v3_struct_0 @ SY495 )
              | ~ ( v10_lattices @ SY495 )
              | ~ ( l3_lattices @ SY495 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY495 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY495 ) )
              | ( v17_lattices @ SY495 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10154]) ).

thf(10244,plain,
    ! [SV157: $i,SV394: $i] :
      ( ( ( ( v3_struct_0 @ SV394 )
          | ~ ( v10_lattices @ SV394 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV394 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ( l3_lattices @ SV394 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10155]) ).

thf(10245,plain,
    ! [SV158: $i,SV371: $i] :
      ( ( ( l3_lattices @ SV371 )
        = $false )
      | ( ( v3_struct_0 @ SV371 )
        = $true )
      | ( ( v10_lattices @ SV371 )
        = $false )
      | ( ( ~ ( v3_filter_0 @ SV158 )
          | ~ ( v3_filter_0 @ SV371 )
          | ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV371 ) ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10156]) ).

thf(10246,plain,
    ! [SV158: $i,SV395: $i] :
      ( ( ( ( v3_struct_0 @ SV395 )
          | ~ ( v10_lattices @ SV395 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV395 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV395 ) )
          | ( v3_filter_0 @ SV158 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10157]) ).

thf(10247,plain,
    ! [SV158: $i,SV396: $i] :
      ( ( ( ( v3_struct_0 @ SV396 )
          | ~ ( v10_lattices @ SV396 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV396 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV396 ) )
          | ( v3_filter_0 @ SV396 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10158]) ).

thf(10248,plain,
    ! [SV160: $i] :
      ( ( ( ~ ~ ( ~ ! [SY501: $i] :
                      ( ( v3_struct_0 @ SY501 )
                      | ~ ( l3_lattices @ SY501 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                      | ~ ( v3_struct_0 @ SV160 ) )
                | ~ ! [SY502: $i] :
                      ( ( v3_struct_0 @ SY502 )
                      | ~ ( l3_lattices @ SY502 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                      | ( v10_lattices @ SV160 ) ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10159]) ).

thf(10249,plain,
    ! [SV160: $i] :
      ( ( ( ~ ! [SY503: $i] :
                ( ( v3_struct_0 @ SY503 )
                | ~ ( l3_lattices @ SY503 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
                | ( l3_lattices @ SV160 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10159]) ).

thf(10250,plain,
    ! [SV160: $i,SV412: $i] :
      ( ( ( ( v3_struct_0 @ SV412 )
          | ~ ( l3_lattices @ SV412 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( v3_struct_0 @ SV412 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10160]) ).

thf(10251,plain,
    ! [SV383: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) ) )
        = $true )
      | ( ( v10_lattices @ SV383 )
        = $true )
      | ( ( v3_struct_0 @ SV383 )
        = $true )
      | ( ( l3_lattices @ SV383 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10161]) ).

thf(10252,plain,
    ! [SV352: $i,SV160: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV352 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) ) )
        = $true )
      | ( ( l3_lattices @ SV352 )
        = $true )
      | ( ( v3_struct_0 @ SV352 )
        = $true )
      | ( ( l3_lattices @ SV352 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10162]) ).

thf(10253,plain,
    ! [SV161: $i,SV387: $i] :
      ( ( ( ( SV387
            = ( k1_filter_0 @ SV161 ) )
          | ~ ( v2_filter_0 @ SV387 @ SV161 ) )
        = $true )
      | ( ( v1_filter_0 @ SV387 @ SV161 )
        = $true )
      | ( ( m1_filter_0 @ SV387 @ SV161 )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10163]) ).

thf(10254,plain,
    ! [SV161: $i,SV414: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV414 @ SV161 )
          | ~ ( v1_filter_0 @ SV414 @ SV161 )
          | ( SV414
           != ( k1_filter_0 @ SV161 ) ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10164]) ).

thf(10255,plain,
    ! [SV161: $i,SV415: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV415 @ SV161 )
          | ~ ( v1_filter_0 @ SV415 @ SV161 )
          | ( v2_filter_0 @ SV415 @ SV161 ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10165]) ).

thf(10256,plain,
    ! [SV162: $i] :
      ( ( ( ~ ! [SY510: $i] :
                ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) )
          | ~ ! [SY511: $i] :
                ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10166]) ).

thf(10257,plain,
    ! [SV162: $i,SV416: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV416 @ SV162 )
          | ( v17_lattices @ ( k5_filter_1 @ SV162 @ SV416 ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10167]) ).

thf(10258,plain,
    ! [SV163: $i] :
      ( ( ( ~ ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
              | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) ) )
        = $true )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10169]) ).

thf(10259,plain,
    ! [SV163: $i] :
      ( ( ( v1_pre_topc @ ( sK7_B @ SV163 ) )
        = $true )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10170]) ).

thf(10260,plain,
    ! [SV164: $i] :
      ( ( ( ~ ( ~ ! [SY514: $i] :
                    ( ( v3_struct_0 @ SY514 )
                    | ~ ( v10_lattices @ SY514 )
                    | ~ ( l3_lattices @ SY514 )
                    | ( v3_struct_0 @ SV164 )
                    | ~ ( v10_lattices @ SV164 )
                    | ~ ( v11_lattices @ SV164 )
                    | ~ ( l3_lattices @ SV164 )
                    | ( v3_struct_0 @ SY514 )
                    | ~ ( v10_lattices @ SY514 )
                    | ~ ( v11_lattices @ SY514 )
                    | ~ ( l3_lattices @ SY514 )
                    | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
              | ~ ! [SY515: $i] :
                    ( ( v3_struct_0 @ SY515 )
                    | ~ ( v10_lattices @ SY515 )
                    | ~ ( l3_lattices @ SY515 )
                    | ( v3_struct_0 @ SV164 )
                    | ~ ( v10_lattices @ SV164 )
                    | ~ ( v11_lattices @ SV164 )
                    | ~ ( l3_lattices @ SV164 )
                    | ( v3_struct_0 @ SY515 )
                    | ~ ( v10_lattices @ SY515 )
                    | ~ ( v11_lattices @ SY515 )
                    | ~ ( l3_lattices @ SY515 )
                    | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10171]) ).

thf(10261,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY516: $i] :
              ( ( v3_struct_0 @ SY516 )
              | ~ ( v10_lattices @ SY516 )
              | ~ ( l3_lattices @ SY516 )
              | ( v3_struct_0 @ SV164 )
              | ~ ( v10_lattices @ SV164 )
              | ~ ( v11_lattices @ SV164 )
              | ~ ( l3_lattices @ SV164 )
              | ( v3_struct_0 @ SY516 )
              | ~ ( v10_lattices @ SY516 )
              | ~ ( v11_lattices @ SY516 )
              | ~ ( l3_lattices @ SY516 )
              | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY516 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10172]) ).

thf(10262,plain,
    ! [SV164: $i,SV397: $i] :
      ( ( ( ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 )
          | ~ ( v11_lattices @ SV397 )
          | ~ ( l3_lattices @ SV397 )
          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10173]) ).

thf(10263,plain,
    ! [SV164: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                            ( ( v3_struct_0 @ SY518 )
                                            | ~ ( v10_lattices @ SY518 )
                                            | ~ ( l3_lattices @ SY518 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                            | ~ ( v3_struct_0 @ SV164 ) )
                                      | ~ ! [SY519: $i] :
                                            ( ( v3_struct_0 @ SY519 )
                                            | ~ ( v10_lattices @ SY519 )
                                            | ~ ( l3_lattices @ SY519 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                            | ( v10_lattices @ SV164 ) ) )
                                | ~ ! [SY520: $i] :
                                      ( ( v3_struct_0 @ SY520 )
                                      | ~ ( v10_lattices @ SY520 )
                                      | ~ ( l3_lattices @ SY520 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                      | ( v11_lattices @ SV164 ) ) )
                          | ~ ! [SY521: $i] :
                                ( ( v3_struct_0 @ SY521 )
                                | ~ ( v10_lattices @ SY521 )
                                | ~ ( l3_lattices @ SY521 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                                | ( l3_lattices @ SV164 ) ) )
                    | ~ ! [SY522: $i] :
                          ( ( v3_struct_0 @ SY522 )
                          | ~ ( v10_lattices @ SY522 )
                          | ~ ( l3_lattices @ SY522 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                          | ~ ( v3_struct_0 @ SY522 ) ) )
              | ~ ! [SY523: $i] :
                    ( ( v3_struct_0 @ SY523 )
                    | ~ ( v10_lattices @ SY523 )
                    | ~ ( l3_lattices @ SY523 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                    | ( v10_lattices @ SY523 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10174]) ).

thf(10264,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY524: $i] :
              ( ( v3_struct_0 @ SY524 )
              | ~ ( v10_lattices @ SY524 )
              | ~ ( l3_lattices @ SY524 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY524 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY524 ) )
              | ( v11_lattices @ SY524 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10175]) ).

thf(10265,plain,
    ! [SV164: $i,SV398: $i] :
      ( ( ( ( v3_struct_0 @ SV398 )
          | ~ ( v10_lattices @ SV398 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV398 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ( l3_lattices @ SV398 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10176]) ).

thf(10266,plain,
    ! [SV165: $i,SV372: $i] :
      ( ( ( l3_lattices @ SV372 )
        = $false )
      | ( ( v3_struct_0 @ SV372 )
        = $true )
      | ( ( v10_lattices @ SV372 )
        = $false )
      | ( ( ~ ( v15_lattices @ SV165 )
          | ~ ( v15_lattices @ SV372 )
          | ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV372 ) ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10177]) ).

thf(10267,plain,
    ! [SV165: $i,SV399: $i] :
      ( ( ( ( v3_struct_0 @ SV399 )
          | ~ ( v10_lattices @ SV399 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV399 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV399 ) )
          | ( v15_lattices @ SV165 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10178]) ).

thf(10268,plain,
    ! [SV165: $i,SV400: $i] :
      ( ( ( ( v3_struct_0 @ SV400 )
          | ~ ( v10_lattices @ SV400 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV400 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV400 ) )
          | ( v15_lattices @ SV400 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10179]) ).

thf(10269,plain,
    ! [SV168: $i,SV373: $i] :
      ( ( ( l3_lattices @ SV373 )
        = $false )
      | ( ( v3_struct_0 @ SV373 )
        = $true )
      | ( ( v10_lattices @ SV373 )
        = $false )
      | ( ( ~ ( v14_lattices @ SV168 )
          | ~ ( v14_lattices @ SV373 )
          | ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV373 ) ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10184]) ).

thf(10270,plain,
    ! [SV168: $i,SV401: $i] :
      ( ( ( ( v3_struct_0 @ SV401 )
          | ~ ( v10_lattices @ SV401 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV401 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV401 ) )
          | ( v14_lattices @ SV168 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10185]) ).

thf(10271,plain,
    ! [SV168: $i,SV402: $i] :
      ( ( ( ( v3_struct_0 @ SV402 )
          | ~ ( v10_lattices @ SV402 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV402 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV402 ) )
          | ( v14_lattices @ SV402 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10186]) ).

thf(10272,plain,
    ! [SV384: $i,SV374: $i] :
      ( ( ( v3_struct_0 @ SV374 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV374 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV374 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV384 @ SV374 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k5_filter_1 @ SV374 @ SV384 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10187]) ).

thf(10273,plain,
    ! [SV385: $i,SV375: $i] :
      ( ( ( v3_struct_0 @ SV375 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV375 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV375 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV385 @ SV375 ) )
        = $true )
      | ( ( v3_lattices @ ( k5_filter_1 @ SV375 @ SV385 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10188]) ).

thf(10274,plain,
    ! [SV333: $i,SV353: $i] :
      ( ( ( m1_filter_0 @ SV353 @ SV333 )
        = $false )
      | ( ( v10_lattices @ SV333 )
        = $false )
      | ( ( v3_struct_0 @ SV333 )
        = $true )
      | ( ( l3_lattices @ SV333 )
        = $false )
      | ( ( v10_lattices @ ( k5_filter_1 @ SV333 @ SV353 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10189]) ).

thf(10275,plain,
    ! [SV334: $i,SV354: $i] :
      ( ( ( v2_pre_topc @ SV354 )
        = $false )
      | ( ( l1_pre_topc @ SV334 )
        = $false )
      | ( ( v2_pre_topc @ SV334 )
        = $false )
      | ( ( ~ ( l1_pre_topc @ SV354 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV334 @ SV354 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10190]) ).

thf(10276,plain,
    ! [SV335: $i,SV355: $i] :
      ( ( ( v2_pre_topc @ SV355 )
        = $false )
      | ( ( l1_pre_topc @ SV335 )
        = $false )
      | ( ( v2_pre_topc @ SV335 )
        = $false )
      | ( ( ~ ( l1_pre_topc @ SV355 ) )
        = $true )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV335 @ SV355 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10191]) ).

thf(10277,plain,
    ! [SV340: $i] :
      ( ( ( l3_lattices @ SV340 )
        = $false )
      | ( ( v3_realset2 @ SV340 )
        = $true )
      | ( ( v10_lattices @ SV340 )
        = $false )
      | ( ( v3_struct_0 @ SV340 )
        = $true )
      | ( ( v17_lattices @ SV340 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10193]) ).

thf(10278,plain,
    ! [SV341: $i] :
      ( ( ( l3_lattices @ SV341 )
        = $false )
      | ( ( v3_realset2 @ SV341 )
        = $true )
      | ( ( v10_lattices @ SV341 )
        = $false )
      | ( ( v3_struct_0 @ SV341 )
        = $true )
      | ( ( v17_lattices @ SV341 )
        = $false )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV341 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10194]) ).

thf(10279,plain,
    ! [SV169: $i,SV376: $i] :
      ( ( ( l3_lattices @ SV376 )
        = $false )
      | ( ( v3_struct_0 @ SV376 )
        = $true )
      | ( ( v10_lattices @ SV376 )
        = $false )
      | ( ( ~ ( v13_lattices @ SV169 )
          | ~ ( v13_lattices @ SV376 )
          | ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV376 ) ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10195]) ).

thf(10280,plain,
    ! [SV169: $i,SV403: $i] :
      ( ( ( ( v3_struct_0 @ SV403 )
          | ~ ( v10_lattices @ SV403 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV403 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV403 ) )
          | ( v13_lattices @ SV169 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10196]) ).

thf(10281,plain,
    ! [SV169: $i,SV404: $i] :
      ( ( ( ( v3_struct_0 @ SV404 )
          | ~ ( v10_lattices @ SV404 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV404 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV404 ) )
          | ( v13_lattices @ SV404 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10197]) ).

thf(10282,plain,
    ! [SV342: $i] :
      ( ( ( l3_lattices @ SV342 )
        = $false )
      | ( ( v3_realset2 @ SV342 )
        = $true )
      | ( ( v10_lattices @ SV342 )
        = $false )
      | ( ( v3_struct_0 @ SV342 )
        = $true )
      | ( ( v17_lattices @ SV342 )
        = $false )
      | ( ( v1_pre_topc @ ( k11_lopclset @ SV342 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10198]) ).

thf(10283,plain,
    ! [SV343: $i] :
      ( ( ( l3_lattices @ SV343 )
        = $false )
      | ( ( v3_realset2 @ SV343 )
        = $true )
      | ( ( v10_lattices @ SV343 )
        = $false )
      | ( ( v3_struct_0 @ SV343 )
        = $true )
      | ( ( v17_lattices @ SV343 )
        = $false )
      | ( ( v2_pre_topc @ ( k11_lopclset @ SV343 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10199]) ).

thf(10284,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ~ ( v3_struct_0 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[10200]) ).

thf(10285,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( l3_lattices @ SX0 )
          | ( v3_struct_0 @ SX0 )
          | ~ ( v17_lattices @ SX0 )
          | ( v11_lattices @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[10201]) ).

thf(10286,plain,
    ! [SV405: $i] :
      ( ( ( l3_lattices @ SV405 )
        = $false )
      | ( ( ( v3_struct_0 @ SV405 )
          | ~ ( v17_lattices @ SV405 )
          | ( v13_lattices @ SV405 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10202]) ).

thf(10287,plain,
    ! [SV377: $i] :
      ( ( ( v17_lattices @ SV377 )
        = $false )
      | ( ( v3_struct_0 @ SV377 )
        = $true )
      | ( ( v14_lattices @ SV377 )
        = $true )
      | ( ( l3_lattices @ SV377 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10203]) ).

thf(10288,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ! [SY535: $i] :
                          ( ( v3_struct_0 @ SY535 )
                          | ~ ( v10_lattices @ SY535 )
                          | ~ ( l3_lattices @ SY535 )
                          | ( v3_struct_0 @ SV170 )
                          | ~ ( v10_lattices @ SV170 )
                          | ~ ( v15_lattices @ SV170 )
                          | ~ ( v16_lattices @ SV170 )
                          | ~ ( l3_lattices @ SV170 )
                          | ( v3_struct_0 @ SY535 )
                          | ~ ( v10_lattices @ SY535 )
                          | ~ ( v15_lattices @ SY535 )
                          | ~ ( v16_lattices @ SY535 )
                          | ~ ( l3_lattices @ SY535 )
                          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                    | ~ ! [SY536: $i] :
                          ( ( v3_struct_0 @ SY536 )
                          | ~ ( v10_lattices @ SY536 )
                          | ~ ( l3_lattices @ SY536 )
                          | ( v3_struct_0 @ SV170 )
                          | ~ ( v10_lattices @ SV170 )
                          | ~ ( v15_lattices @ SV170 )
                          | ~ ( v16_lattices @ SV170 )
                          | ~ ( l3_lattices @ SV170 )
                          | ( v3_struct_0 @ SY536 )
                          | ~ ( v10_lattices @ SY536 )
                          | ~ ( v15_lattices @ SY536 )
                          | ~ ( v16_lattices @ SY536 )
                          | ~ ( l3_lattices @ SY536 )
                          | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
              | ~ ! [SY537: $i] :
                    ( ( v3_struct_0 @ SY537 )
                    | ~ ( v10_lattices @ SY537 )
                    | ~ ( l3_lattices @ SY537 )
                    | ( v3_struct_0 @ SV170 )
                    | ~ ( v10_lattices @ SV170 )
                    | ~ ( v15_lattices @ SV170 )
                    | ~ ( v16_lattices @ SV170 )
                    | ~ ( l3_lattices @ SV170 )
                    | ( v3_struct_0 @ SY537 )
                    | ~ ( v10_lattices @ SY537 )
                    | ~ ( v15_lattices @ SY537 )
                    | ~ ( v16_lattices @ SY537 )
                    | ~ ( l3_lattices @ SY537 )
                    | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10206]) ).

thf(10289,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY538: $i] :
              ( ( v3_struct_0 @ SY538 )
              | ~ ( v10_lattices @ SY538 )
              | ~ ( l3_lattices @ SY538 )
              | ( v3_struct_0 @ SV170 )
              | ~ ( v10_lattices @ SV170 )
              | ~ ( v15_lattices @ SV170 )
              | ~ ( v16_lattices @ SV170 )
              | ~ ( l3_lattices @ SV170 )
              | ( v3_struct_0 @ SY538 )
              | ~ ( v10_lattices @ SY538 )
              | ~ ( v15_lattices @ SY538 )
              | ~ ( v16_lattices @ SY538 )
              | ~ ( l3_lattices @ SY538 )
              | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY538 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10207]) ).

thf(10290,plain,
    ! [SV170: $i,SV406: $i] :
      ( ( ( ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( v15_lattices @ SV406 )
          | ~ ( v16_lattices @ SV406 )
          | ~ ( l3_lattices @ SV406 )
          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10208]) ).

thf(10291,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                        ( ( v3_struct_0 @ SY540 )
                                                        | ~ ( v10_lattices @ SY540 )
                                                        | ~ ( l3_lattices @ SY540 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                        | ~ ( v3_struct_0 @ SV170 ) )
                                                  | ~ ! [SY541: $i] :
                                                        ( ( v3_struct_0 @ SY541 )
                                                        | ~ ( v10_lattices @ SY541 )
                                                        | ~ ( l3_lattices @ SY541 )
                                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                        | ( v10_lattices @ SV170 ) ) )
                                            | ~ ! [SY542: $i] :
                                                  ( ( v3_struct_0 @ SY542 )
                                                  | ~ ( v10_lattices @ SY542 )
                                                  | ~ ( l3_lattices @ SY542 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                                  | ( v15_lattices @ SV170 ) ) )
                                      | ~ ! [SY543: $i] :
                                            ( ( v3_struct_0 @ SY543 )
                                            | ~ ( v10_lattices @ SY543 )
                                            | ~ ( l3_lattices @ SY543 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                            | ( v16_lattices @ SV170 ) ) )
                                | ~ ! [SY544: $i] :
                                      ( ( v3_struct_0 @ SY544 )
                                      | ~ ( v10_lattices @ SY544 )
                                      | ~ ( l3_lattices @ SY544 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                      | ( l3_lattices @ SV170 ) ) )
                          | ~ ! [SY545: $i] :
                                ( ( v3_struct_0 @ SY545 )
                                | ~ ( v10_lattices @ SY545 )
                                | ~ ( l3_lattices @ SY545 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                                | ~ ( v3_struct_0 @ SY545 ) ) )
                    | ~ ! [SY546: $i] :
                          ( ( v3_struct_0 @ SY546 )
                          | ~ ( v10_lattices @ SY546 )
                          | ~ ( l3_lattices @ SY546 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                          | ( v10_lattices @ SY546 ) ) )
              | ~ ! [SY547: $i] :
                    ( ( v3_struct_0 @ SY547 )
                    | ~ ( v10_lattices @ SY547 )
                    | ~ ( l3_lattices @ SY547 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                    | ( v15_lattices @ SY547 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10209]) ).

thf(10292,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY548: $i] :
              ( ( v3_struct_0 @ SY548 )
              | ~ ( v10_lattices @ SY548 )
              | ~ ( l3_lattices @ SY548 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY548 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY548 ) )
              | ( v16_lattices @ SY548 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10210]) ).

thf(10293,plain,
    ! [SV170: $i,SV407: $i] :
      ( ( ( ( v3_struct_0 @ SV407 )
          | ~ ( v10_lattices @ SV407 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV407 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ( l3_lattices @ SV407 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10211]) ).

thf(10294,plain,
    ! [SV378: $i] :
      ( ( ( v17_lattices @ SV378 )
        = $false )
      | ( ( v15_lattices @ SV378 )
        = $true )
      | ( ( v3_struct_0 @ SV378 )
        = $true )
      | ( ( l3_lattices @ SV378 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10212]) ).

thf(10295,plain,
    ! [SV379: $i] :
      ( ( ( v17_lattices @ SV379 )
        = $false )
      | ( ( v16_lattices @ SV379 )
        = $true )
      | ( ( v3_struct_0 @ SV379 )
        = $true )
      | ( ( l3_lattices @ SV379 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10213]) ).

thf(10296,plain,
    ! [SV346: $i,SV356: $i] :
      ( ( ( m1_filter_0 @ SV356 @ SV346 )
        = $false )
      | ( ( v10_lattices @ SV346 )
        = $false )
      | ( ( v3_struct_0 @ SV346 )
        = $true )
      | ( ( l3_lattices @ SV346 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_0 @ SV346 @ SV356 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10214]) ).

thf(10297,plain,
    ! [SV347: $i,SV357: $i] :
      ( ( ( m1_filter_0 @ SV357 @ SV347 )
        = $false )
      | ( ( v10_lattices @ SV347 )
        = $false )
      | ( ( v3_struct_0 @ SV347 )
        = $true )
      | ( ( l3_lattices @ SV347 )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_0 @ SV347 @ SV357 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10215]) ).

thf(10298,plain,
    ! [SV408: $i] :
      ( ( ( ( v3_struct_0 @ SV408 )
          | ~ ( v10_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV408 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV408 )
          | ~ ( v10_lattices @ SV408 )
          | ~ ( v11_lattices @ SV408 )
          | ~ ( l3_lattices @ SV408 )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10216]) ).

thf(10299,plain,
    ! [SV409: $i] :
      ( ( ( ( v3_struct_0 @ SV409 )
          | ~ ( v10_lattices @ SV409 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV409 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV409 )
          | ~ ( v10_lattices @ SV409 )
          | ~ ( v11_lattices @ SV409 )
          | ~ ( l3_lattices @ SV409 )
          | ( v10_lattices @ ( k1_lattice2 @ SV409 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10217]) ).

thf(10300,plain,
    ! [SV380: $i] :
      ( ( ( l3_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( ( v3_struct_0 @ SV380 )
          | ~ ( v10_lattices @ SV380 )
          | ~ ( v11_lattices @ SV380 )
          | ~ ( l3_lattices @ SV380 )
          | ( v11_lattices @ ( k1_lattice2 @ SV380 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10218]) ).

thf(10301,plain,
    ! [SV348: $i] :
      ( ( ( ( v3_struct_0 @ SV348 )
          | ~ ( v10_lattices @ SV348 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV348 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV348 ) )
        = $true )
      | ( ( l3_lattices @ ( k1_lattice2 @ SV348 ) )
        = $true )
      | ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( l3_lattices @ SV348 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10219]) ).

thf(10302,plain,
    ! [SV410: $i] :
      ( ( ( ( v3_struct_0 @ SV410 )
          | ~ ( v10_lattices @ SV410 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV410 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v3_struct_0 @ SV410 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10220]) ).

thf(10303,plain,
    ! [SV411: $i] :
      ( ( ( ( v3_struct_0 @ SV411 )
          | ~ ( v10_lattices @ SV411 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV411 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) )
          | ( v10_lattices @ SV411 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10221]) ).

thf(10304,plain,
    ! [SV381: $i] :
      ( ( ( l3_lattices @ SV381 )
        = $false )
      | ( ( v3_struct_0 @ SV381 )
        = $true )
      | ( ( v10_lattices @ SV381 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) )
          | ( v11_lattices @ SV381 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10222]) ).

thf(10305,plain,
    ! [SV349: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $true )
      | ( ( v10_lattices @ SV349 )
        = $false )
      | ( ( v3_struct_0 @ SV349 )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10223]) ).

thf(10306,plain,
    ! [SV312: $i,SV24: $i,SV390: $i] :
      ( ( ( v3_struct_0 @ SV390 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV390 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV390 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV24 @ SV312 )
          | ~ ( r1_filter_1 @ SV312 @ SV390 )
          | ( r1_filter_1 @ SV24 @ SV390 ) )
        = $true )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10224]) ).

thf(10307,plain,
    ! [SV320: $i,SV127: $i] :
      ( ( ( l3_lattices @ SV127 )
        = $false )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( v3_filter_0 @ SV127 )
        = $false )
      | ( ( v3_filter_0 @ ( k8_filter_0 @ SV127 @ SV320 ) )
        = $true )
      | ( ( m1_filter_0 @ SV320 @ SV127 )
        = $false )
      | ( ( v10_lattices @ SV127 )
        = $false )
      | ( ( v3_struct_0 @ SV127 )
        = $true )
      | ( ( l3_lattices @ SV127 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10225]) ).

thf(10308,plain,
    ! [SV140: $i,SV322: $i,SV413: $i] :
      ( ( ( ~ ( m1_lattice4 @ SV413 @ SV322 @ SV140 ) )
        = $true )
      | ( ( ~ ( v2_lattice4 @ SV413 @ SV322 @ SV140 )
          | ( v11_lattices @ SV140 ) )
        = $true )
      | ( ( v11_lattices @ SV322 )
        = $false )
      | ( ( v3_struct_0 @ SV322 )
        = $true )
      | ( ( v10_lattices @ SV322 )
        = $false )
      | ( ( l3_lattices @ SV322 )
        = $false )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10226]) ).

thf(10309,plain,
    ! [SV364: $i,SV151: $i] :
      ( ( ( ~ ( v12_lattices @ SV151 )
          | ~ ( v12_lattices @ SV364 ) )
        = $true )
      | ( ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV364 ) )
        = $true )
      | ( ( v10_lattices @ SV364 )
        = $false )
      | ( ( v3_struct_0 @ SV364 )
        = $true )
      | ( ( l3_lattices @ SV364 )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10227]) ).

thf(10310,plain,
    ! [SV151: $i,SV391: $i] :
      ( ( ( v3_struct_0 @ SV391 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV391 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV391 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV391 ) )
          | ( v12_lattices @ SV151 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10228]) ).

thf(10311,plain,
    ! [SV151: $i,SV392: $i] :
      ( ( ( v3_struct_0 @ SV392 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV392 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV392 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV392 ) )
          | ( v12_lattices @ SV392 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10229]) ).

thf(10312,plain,
    ! [SV365: $i,SV152: $i] :
      ( ( ( ~ ( r1_filter_1 @ SV152 @ SV365 ) )
        = $true )
      | ( ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV365 ) )
        = $true )
      | ( ( v10_lattices @ SV365 )
        = $false )
      | ( ( v3_struct_0 @ SV365 )
        = $true )
      | ( ( l3_lattices @ SV365 )
        = $false )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10230]) ).

thf(10313,plain,
    ! [SV366: $i,SV152: $i] :
      ( ( ( ~ ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV366 ) ) )
        = $true )
      | ( ( r1_filter_1 @ SV152 @ SV366 )
        = $true )
      | ( ( v10_lattices @ SV366 )
        = $false )
      | ( ( v3_struct_0 @ SV366 )
        = $true )
      | ( ( l3_lattices @ SV366 )
        = $false )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10231]) ).

thf(10314,plain,
    ! [SV323: $i] :
      ( ( ( v3_struct_0 @ ( k12_lopclset @ SV323 ) )
        = $false )
      | ( ( v17_lattices @ SV323 )
        = $false )
      | ( ( v3_struct_0 @ SV323 )
        = $true )
      | ( ( v10_lattices @ SV323 )
        = $false )
      | ( ( v3_realset2 @ SV323 )
        = $true )
      | ( ( l3_lattices @ SV323 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10232]) ).

thf(10315,plain,
    ! [SV350: $i,SV325: $i] :
      ( ( ( l1_pre_topc @ SV325 )
        = $false )
      | ( ( v3_struct_0 @ SV325 )
        = $true )
      | ( ( v2_pre_topc @ SV325 )
        = $false )
      | ( ( v3_struct_0 @ SV350 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10234]) ).

thf(10316,plain,
    ! [SV351: $i,SV326: $i] :
      ( ( ( l1_pre_topc @ SV326 )
        = $false )
      | ( ( v3_struct_0 @ SV326 )
        = $true )
      | ( ( v2_pre_topc @ SV326 )
        = $false )
      | ( ( v3_struct_0 @ SV351 )
        = $true )
      | ( ( ~ ( v2_pre_topc @ SV351 ) )
        = $true )
      | ( ( ~ ( l1_pre_topc @ SV351 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10235]) ).

thf(10317,plain,
    ! [SV369: $i,SV156: $i] :
      ( ( ( ! [SY589: $i] :
              ( ~ ( m1_lattice4 @ SY589 @ SV156 @ SV369 )
              | ~ ( v3_lattice4 @ SY589 @ SV156 @ SV369 ) ) )
        = $true )
      | ( ( r1_filter_1 @ SV156 @ SV369 )
        = $true )
      | ( ( v10_lattices @ SV369 )
        = $false )
      | ( ( v3_struct_0 @ SV369 )
        = $true )
      | ( ( l3_lattices @ SV369 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10237]) ).

thf(10318,plain,
    ! [SV370: $i,SV156: $i] :
      ( ( ( ~ ( r1_filter_1 @ SV156 @ SV370 ) )
        = $true )
      | ( ( ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
              | ~ ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) ) )
        = $true )
      | ( ( v10_lattices @ SV370 )
        = $false )
      | ( ( v3_struct_0 @ SV370 )
        = $true )
      | ( ( l3_lattices @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10238]) ).

thf(10319,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY485: $i] :
                ( ( v3_struct_0 @ SY485 )
                | ~ ( v10_lattices @ SY485 )
                | ~ ( l3_lattices @ SY485 )
                | ( v3_struct_0 @ SV157 )
                | ~ ( v10_lattices @ SV157 )
                | ~ ( v17_lattices @ SV157 )
                | ~ ( l3_lattices @ SV157 )
                | ( v3_struct_0 @ SY485 )
                | ~ ( v10_lattices @ SY485 )
                | ~ ( v17_lattices @ SY485 )
                | ~ ( l3_lattices @ SY485 )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) )
          | ~ ! [SY486: $i] :
                ( ( v3_struct_0 @ SY486 )
                | ~ ( v10_lattices @ SY486 )
                | ~ ( l3_lattices @ SY486 )
                | ( v3_struct_0 @ SV157 )
                | ~ ( v10_lattices @ SV157 )
                | ~ ( v17_lattices @ SV157 )
                | ~ ( l3_lattices @ SV157 )
                | ( v3_struct_0 @ SY486 )
                | ~ ( v10_lattices @ SY486 )
                | ~ ( v17_lattices @ SY486 )
                | ~ ( l3_lattices @ SY486 )
                | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10239]) ).

thf(10320,plain,
    ! [SV157: $i,SV417: $i] :
      ( ( ( ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 )
          | ~ ( l3_lattices @ SV417 )
          | ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 )
          | ~ ( v17_lattices @ SV417 )
          | ~ ( l3_lattices @ SV417 )
          | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10240]) ).

thf(10321,plain,
    ! [SV157: $i,SV393: $i] :
      ( ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 )
          | ~ ( v17_lattices @ SV393 )
          | ~ ( l3_lattices @ SV393 )
          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10241]) ).

thf(10322,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                        ( ( v3_struct_0 @ SY489 )
                                        | ~ ( v10_lattices @ SY489 )
                                        | ~ ( l3_lattices @ SY489 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                        | ~ ( v3_struct_0 @ SV157 ) )
                                  | ~ ! [SY490: $i] :
                                        ( ( v3_struct_0 @ SY490 )
                                        | ~ ( v10_lattices @ SY490 )
                                        | ~ ( l3_lattices @ SY490 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                        | ( v10_lattices @ SV157 ) ) )
                            | ~ ! [SY491: $i] :
                                  ( ( v3_struct_0 @ SY491 )
                                  | ~ ( v10_lattices @ SY491 )
                                  | ~ ( l3_lattices @ SY491 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                  | ( v17_lattices @ SV157 ) ) )
                      | ~ ! [SY492: $i] :
                            ( ( v3_struct_0 @ SY492 )
                            | ~ ( v10_lattices @ SY492 )
                            | ~ ( l3_lattices @ SY492 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                            | ( l3_lattices @ SV157 ) ) )
                | ~ ! [SY493: $i] :
                      ( ( v3_struct_0 @ SY493 )
                      | ~ ( v10_lattices @ SY493 )
                      | ~ ( l3_lattices @ SY493 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                      | ~ ( v3_struct_0 @ SY493 ) ) )
          | ~ ! [SY494: $i] :
                ( ( v3_struct_0 @ SY494 )
                | ~ ( v10_lattices @ SY494 )
                | ~ ( l3_lattices @ SY494 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                | ( v10_lattices @ SY494 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10242]) ).

thf(10323,plain,
    ! [SV157: $i,SV418: $i] :
      ( ( ( ( v3_struct_0 @ SV418 )
          | ~ ( v10_lattices @ SV418 )
          | ~ ( l3_lattices @ SV418 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ( v17_lattices @ SV418 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10243]) ).

thf(10324,plain,
    ! [SV157: $i,SV394: $i] :
      ( ( ( v3_struct_0 @ SV394 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV394 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV394 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ( l3_lattices @ SV394 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10244]) ).

thf(10325,plain,
    ! [SV371: $i,SV158: $i] :
      ( ( ( ~ ( v3_filter_0 @ SV158 )
          | ~ ( v3_filter_0 @ SV371 ) )
        = $true )
      | ( ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV371 ) )
        = $true )
      | ( ( v10_lattices @ SV371 )
        = $false )
      | ( ( v3_struct_0 @ SV371 )
        = $true )
      | ( ( l3_lattices @ SV371 )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10245]) ).

thf(10326,plain,
    ! [SV158: $i,SV395: $i] :
      ( ( ( v3_struct_0 @ SV395 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV395 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV395 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV395 ) )
          | ( v3_filter_0 @ SV158 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10246]) ).

thf(10327,plain,
    ! [SV158: $i,SV396: $i] :
      ( ( ( v3_struct_0 @ SV396 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV396 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV396 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV396 ) )
          | ( v3_filter_0 @ SV396 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10247]) ).

thf(10328,plain,
    ! [SV160: $i] :
      ( ( ( ~ ( ~ ! [SY501: $i] :
                    ( ( v3_struct_0 @ SY501 )
                    | ~ ( l3_lattices @ SY501 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                    | ~ ( v3_struct_0 @ SV160 ) )
              | ~ ! [SY502: $i] :
                    ( ( v3_struct_0 @ SY502 )
                    | ~ ( l3_lattices @ SY502 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                    | ( v10_lattices @ SV160 ) ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10248]) ).

thf(10329,plain,
    ! [SV160: $i] :
      ( ( ( ! [SY503: $i] :
              ( ( v3_struct_0 @ SY503 )
              | ~ ( l3_lattices @ SY503 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY503 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY503 ) )
              | ( l3_lattices @ SV160 ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10249]) ).

thf(10330,plain,
    ! [SV160: $i,SV412: $i] :
      ( ( ( v3_struct_0 @ SV412 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV412 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( v3_struct_0 @ SV412 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10250]) ).

thf(10331,plain,
    ! [SV383: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV383 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) ) )
        = $true )
      | ( ( v10_lattices @ SV383 )
        = $true )
      | ( ( v3_struct_0 @ SV383 )
        = $true )
      | ( ( l3_lattices @ SV383 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10251]) ).

thf(10332,plain,
    ! [SV352: $i,SV160: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV352 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV352 ) )
        = $false )
      | ( ( l3_lattices @ SV352 )
        = $true )
      | ( ( v3_struct_0 @ SV352 )
        = $true )
      | ( ( l3_lattices @ SV352 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10252]) ).

thf(10333,plain,
    ! [SV161: $i,SV387: $i] :
      ( ( ( SV387
          = ( k1_filter_0 @ SV161 ) )
        = $true )
      | ( ( ~ ( v2_filter_0 @ SV387 @ SV161 ) )
        = $true )
      | ( ( v1_filter_0 @ SV387 @ SV161 )
        = $true )
      | ( ( m1_filter_0 @ SV387 @ SV161 )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10253]) ).

thf(10334,plain,
    ! [SV161: $i,SV414: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV414 @ SV161 ) )
        = $true )
      | ( ( ~ ( v1_filter_0 @ SV414 @ SV161 )
          | ( SV414
           != ( k1_filter_0 @ SV161 ) ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10254]) ).

thf(10335,plain,
    ! [SV161: $i,SV415: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV415 @ SV161 ) )
        = $true )
      | ( ( ~ ( v1_filter_0 @ SV415 @ SV161 )
          | ( v2_filter_0 @ SV415 @ SV161 ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10255]) ).

thf(10336,plain,
    ! [SV162: $i] :
      ( ( ( ~ ! [SY510: $i] :
                ( ~ ( m1_filter_0 @ SY510 @ SV162 )
                | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10256]) ).

thf(10337,plain,
    ! [SV162: $i] :
      ( ( ( ~ ! [SY511: $i] :
                ( ~ ( m1_filter_0 @ SY511 @ SV162 )
                | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
        = $false )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10256]) ).

thf(10338,plain,
    ! [SV162: $i,SV416: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV416 @ SV162 ) )
        = $true )
      | ( ( v17_lattices @ ( k5_filter_1 @ SV162 @ SV416 ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10257]) ).

thf(10339,plain,
    ! [SV163: $i] :
      ( ( ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
          | ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10258]) ).

thf(10340,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY514: $i] :
                ( ( v3_struct_0 @ SY514 )
                | ~ ( v10_lattices @ SY514 )
                | ~ ( l3_lattices @ SY514 )
                | ( v3_struct_0 @ SV164 )
                | ~ ( v10_lattices @ SV164 )
                | ~ ( v11_lattices @ SV164 )
                | ~ ( l3_lattices @ SV164 )
                | ( v3_struct_0 @ SY514 )
                | ~ ( v10_lattices @ SY514 )
                | ~ ( v11_lattices @ SY514 )
                | ~ ( l3_lattices @ SY514 )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) )
          | ~ ! [SY515: $i] :
                ( ( v3_struct_0 @ SY515 )
                | ~ ( v10_lattices @ SY515 )
                | ~ ( l3_lattices @ SY515 )
                | ( v3_struct_0 @ SV164 )
                | ~ ( v10_lattices @ SV164 )
                | ~ ( v11_lattices @ SV164 )
                | ~ ( l3_lattices @ SV164 )
                | ( v3_struct_0 @ SY515 )
                | ~ ( v10_lattices @ SY515 )
                | ~ ( v11_lattices @ SY515 )
                | ~ ( l3_lattices @ SY515 )
                | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10260]) ).

thf(10341,plain,
    ! [SV164: $i,SV419: $i] :
      ( ( ( ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 )
          | ~ ( l3_lattices @ SV419 )
          | ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 )
          | ~ ( v11_lattices @ SV419 )
          | ~ ( l3_lattices @ SV419 )
          | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10261]) ).

thf(10342,plain,
    ! [SV164: $i,SV397: $i] :
      ( ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 )
          | ~ ( v11_lattices @ SV397 )
          | ~ ( l3_lattices @ SV397 )
          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10262]) ).

thf(10343,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                        ( ( v3_struct_0 @ SY518 )
                                        | ~ ( v10_lattices @ SY518 )
                                        | ~ ( l3_lattices @ SY518 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                        | ~ ( v3_struct_0 @ SV164 ) )
                                  | ~ ! [SY519: $i] :
                                        ( ( v3_struct_0 @ SY519 )
                                        | ~ ( v10_lattices @ SY519 )
                                        | ~ ( l3_lattices @ SY519 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                        | ( v10_lattices @ SV164 ) ) )
                            | ~ ! [SY520: $i] :
                                  ( ( v3_struct_0 @ SY520 )
                                  | ~ ( v10_lattices @ SY520 )
                                  | ~ ( l3_lattices @ SY520 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                  | ( v11_lattices @ SV164 ) ) )
                      | ~ ! [SY521: $i] :
                            ( ( v3_struct_0 @ SY521 )
                            | ~ ( v10_lattices @ SY521 )
                            | ~ ( l3_lattices @ SY521 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                            | ( l3_lattices @ SV164 ) ) )
                | ~ ! [SY522: $i] :
                      ( ( v3_struct_0 @ SY522 )
                      | ~ ( v10_lattices @ SY522 )
                      | ~ ( l3_lattices @ SY522 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                      | ~ ( v3_struct_0 @ SY522 ) ) )
          | ~ ! [SY523: $i] :
                ( ( v3_struct_0 @ SY523 )
                | ~ ( v10_lattices @ SY523 )
                | ~ ( l3_lattices @ SY523 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                | ( v10_lattices @ SY523 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10263]) ).

thf(10344,plain,
    ! [SV164: $i,SV420: $i] :
      ( ( ( ( v3_struct_0 @ SV420 )
          | ~ ( v10_lattices @ SV420 )
          | ~ ( l3_lattices @ SV420 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ( v11_lattices @ SV420 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10264]) ).

thf(10345,plain,
    ! [SV164: $i,SV398: $i] :
      ( ( ( v3_struct_0 @ SV398 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV398 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV398 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ( l3_lattices @ SV398 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10265]) ).

thf(10346,plain,
    ! [SV372: $i,SV165: $i] :
      ( ( ( ~ ( v15_lattices @ SV165 )
          | ~ ( v15_lattices @ SV372 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV372 ) )
        = $true )
      | ( ( v10_lattices @ SV372 )
        = $false )
      | ( ( v3_struct_0 @ SV372 )
        = $true )
      | ( ( l3_lattices @ SV372 )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10266]) ).

thf(10347,plain,
    ! [SV165: $i,SV399: $i] :
      ( ( ( v3_struct_0 @ SV399 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV399 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV399 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV399 ) )
          | ( v15_lattices @ SV165 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10267]) ).

thf(10348,plain,
    ! [SV165: $i,SV400: $i] :
      ( ( ( v3_struct_0 @ SV400 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV400 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV400 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV400 ) )
          | ( v15_lattices @ SV400 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10268]) ).

thf(10349,plain,
    ! [SV373: $i,SV168: $i] :
      ( ( ( ~ ( v14_lattices @ SV168 )
          | ~ ( v14_lattices @ SV373 ) )
        = $true )
      | ( ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV373 ) )
        = $true )
      | ( ( v10_lattices @ SV373 )
        = $false )
      | ( ( v3_struct_0 @ SV373 )
        = $true )
      | ( ( l3_lattices @ SV373 )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10269]) ).

thf(10350,plain,
    ! [SV168: $i,SV401: $i] :
      ( ( ( v3_struct_0 @ SV401 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV401 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV401 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV401 ) )
          | ( v14_lattices @ SV168 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10270]) ).

thf(10351,plain,
    ! [SV168: $i,SV402: $i] :
      ( ( ( v3_struct_0 @ SV402 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV402 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV402 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV402 ) )
          | ( v14_lattices @ SV402 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10271]) ).

thf(10352,plain,
    ! [SV384: $i,SV374: $i] :
      ( ( ( v10_lattices @ SV374 )
        = $false )
      | ( ( v3_struct_0 @ SV374 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV374 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV384 @ SV374 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k5_filter_1 @ SV374 @ SV384 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10272]) ).

thf(10353,plain,
    ! [SV385: $i,SV375: $i] :
      ( ( ( v10_lattices @ SV375 )
        = $false )
      | ( ( v3_struct_0 @ SV375 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV375 ) )
        = $true )
      | ( ( ~ ( m1_filter_0 @ SV385 @ SV375 ) )
        = $true )
      | ( ( v3_lattices @ ( k5_filter_1 @ SV375 @ SV385 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10273]) ).

thf(10354,plain,
    ! [SV334: $i,SV354: $i] :
      ( ( ( l1_pre_topc @ SV354 )
        = $false )
      | ( ( v2_pre_topc @ SV334 )
        = $false )
      | ( ( l1_pre_topc @ SV334 )
        = $false )
      | ( ( v2_pre_topc @ SV354 )
        = $false )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV334 @ SV354 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10275]) ).

thf(10355,plain,
    ! [SV335: $i,SV355: $i] :
      ( ( ( l1_pre_topc @ SV355 )
        = $false )
      | ( ( v2_pre_topc @ SV335 )
        = $false )
      | ( ( l1_pre_topc @ SV335 )
        = $false )
      | ( ( v2_pre_topc @ SV355 )
        = $false )
      | ( ( v2_pre_topc @ ( k6_borsuk_1 @ SV335 @ SV355 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10276]) ).

thf(10356,plain,
    ! [SV340: $i] :
      ( ( ( v3_struct_0 @ ( k11_lopclset @ SV340 ) )
        = $false )
      | ( ( v17_lattices @ SV340 )
        = $false )
      | ( ( v3_struct_0 @ SV340 )
        = $true )
      | ( ( v10_lattices @ SV340 )
        = $false )
      | ( ( v3_realset2 @ SV340 )
        = $true )
      | ( ( l3_lattices @ SV340 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10277]) ).

thf(10357,plain,
    ! [SV376: $i,SV169: $i] :
      ( ( ( ~ ( v13_lattices @ SV169 )
          | ~ ( v13_lattices @ SV376 ) )
        = $true )
      | ( ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV376 ) )
        = $true )
      | ( ( v10_lattices @ SV376 )
        = $false )
      | ( ( v3_struct_0 @ SV376 )
        = $true )
      | ( ( l3_lattices @ SV376 )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10279]) ).

thf(10358,plain,
    ! [SV169: $i,SV403: $i] :
      ( ( ( v3_struct_0 @ SV403 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV403 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV403 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV403 ) )
          | ( v13_lattices @ SV169 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10280]) ).

thf(10359,plain,
    ! [SV169: $i,SV404: $i] :
      ( ( ( v3_struct_0 @ SV404 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV404 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV404 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV404 ) )
          | ( v13_lattices @ SV404 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10281]) ).

thf(10360,plain,
    ! [SV421: $i] :
      ( ( ~ ( l3_lattices @ SV421 )
        | ( v3_struct_0 @ SV421 )
        | ~ ( v17_lattices @ SV421 )
        | ~ ( v3_struct_0 @ SV421 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10284]) ).

thf(10361,plain,
    ! [SV422: $i] :
      ( ( ~ ( l3_lattices @ SV422 )
        | ( v3_struct_0 @ SV422 )
        | ~ ( v17_lattices @ SV422 )
        | ( v11_lattices @ SV422 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10285]) ).

thf(10362,plain,
    ! [SV405: $i] :
      ( ( ( ( v3_struct_0 @ SV405 )
          | ~ ( v17_lattices @ SV405 ) )
        = $true )
      | ( ( v13_lattices @ SV405 )
        = $true )
      | ( ( l3_lattices @ SV405 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10286]) ).

thf(10363,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ! [SY535: $i] :
                      ( ( v3_struct_0 @ SY535 )
                      | ~ ( v10_lattices @ SY535 )
                      | ~ ( l3_lattices @ SY535 )
                      | ( v3_struct_0 @ SV170 )
                      | ~ ( v10_lattices @ SV170 )
                      | ~ ( v15_lattices @ SV170 )
                      | ~ ( v16_lattices @ SV170 )
                      | ~ ( l3_lattices @ SV170 )
                      | ( v3_struct_0 @ SY535 )
                      | ~ ( v10_lattices @ SY535 )
                      | ~ ( v15_lattices @ SY535 )
                      | ~ ( v16_lattices @ SY535 )
                      | ~ ( l3_lattices @ SY535 )
                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                | ~ ! [SY536: $i] :
                      ( ( v3_struct_0 @ SY536 )
                      | ~ ( v10_lattices @ SY536 )
                      | ~ ( l3_lattices @ SY536 )
                      | ( v3_struct_0 @ SV170 )
                      | ~ ( v10_lattices @ SV170 )
                      | ~ ( v15_lattices @ SV170 )
                      | ~ ( v16_lattices @ SV170 )
                      | ~ ( l3_lattices @ SV170 )
                      | ( v3_struct_0 @ SY536 )
                      | ~ ( v10_lattices @ SY536 )
                      | ~ ( v15_lattices @ SY536 )
                      | ~ ( v16_lattices @ SY536 )
                      | ~ ( l3_lattices @ SY536 )
                      | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
          | ~ ! [SY537: $i] :
                ( ( v3_struct_0 @ SY537 )
                | ~ ( v10_lattices @ SY537 )
                | ~ ( l3_lattices @ SY537 )
                | ( v3_struct_0 @ SV170 )
                | ~ ( v10_lattices @ SV170 )
                | ~ ( v15_lattices @ SV170 )
                | ~ ( v16_lattices @ SV170 )
                | ~ ( l3_lattices @ SV170 )
                | ( v3_struct_0 @ SY537 )
                | ~ ( v10_lattices @ SY537 )
                | ~ ( v15_lattices @ SY537 )
                | ~ ( v16_lattices @ SY537 )
                | ~ ( l3_lattices @ SY537 )
                | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10288]) ).

thf(10364,plain,
    ! [SV170: $i,SV423: $i] :
      ( ( ( ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( l3_lattices @ SV423 )
          | ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( v15_lattices @ SV423 )
          | ~ ( v16_lattices @ SV423 )
          | ~ ( l3_lattices @ SV423 )
          | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10289]) ).

thf(10365,plain,
    ! [SV170: $i,SV406: $i] :
      ( ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( v15_lattices @ SV406 )
          | ~ ( v16_lattices @ SV406 )
          | ~ ( l3_lattices @ SV406 )
          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10290]) ).

thf(10366,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                    ( ( v3_struct_0 @ SY540 )
                                                    | ~ ( v10_lattices @ SY540 )
                                                    | ~ ( l3_lattices @ SY540 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                    | ~ ( v3_struct_0 @ SV170 ) )
                                              | ~ ! [SY541: $i] :
                                                    ( ( v3_struct_0 @ SY541 )
                                                    | ~ ( v10_lattices @ SY541 )
                                                    | ~ ( l3_lattices @ SY541 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                    | ( v10_lattices @ SV170 ) ) )
                                        | ~ ! [SY542: $i] :
                                              ( ( v3_struct_0 @ SY542 )
                                              | ~ ( v10_lattices @ SY542 )
                                              | ~ ( l3_lattices @ SY542 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                              | ( v15_lattices @ SV170 ) ) )
                                  | ~ ! [SY543: $i] :
                                        ( ( v3_struct_0 @ SY543 )
                                        | ~ ( v10_lattices @ SY543 )
                                        | ~ ( l3_lattices @ SY543 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                        | ( v16_lattices @ SV170 ) ) )
                            | ~ ! [SY544: $i] :
                                  ( ( v3_struct_0 @ SY544 )
                                  | ~ ( v10_lattices @ SY544 )
                                  | ~ ( l3_lattices @ SY544 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                  | ( l3_lattices @ SV170 ) ) )
                      | ~ ! [SY545: $i] :
                            ( ( v3_struct_0 @ SY545 )
                            | ~ ( v10_lattices @ SY545 )
                            | ~ ( l3_lattices @ SY545 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                            | ~ ( v3_struct_0 @ SY545 ) ) )
                | ~ ! [SY546: $i] :
                      ( ( v3_struct_0 @ SY546 )
                      | ~ ( v10_lattices @ SY546 )
                      | ~ ( l3_lattices @ SY546 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                      | ( v10_lattices @ SY546 ) ) )
          | ~ ! [SY547: $i] :
                ( ( v3_struct_0 @ SY547 )
                | ~ ( v10_lattices @ SY547 )
                | ~ ( l3_lattices @ SY547 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                | ( v15_lattices @ SY547 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10291]) ).

thf(10367,plain,
    ! [SV170: $i,SV424: $i] :
      ( ( ( ( v3_struct_0 @ SV424 )
          | ~ ( v10_lattices @ SV424 )
          | ~ ( l3_lattices @ SV424 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ( v16_lattices @ SV424 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10292]) ).

thf(10368,plain,
    ! [SV170: $i,SV407: $i] :
      ( ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV407 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV407 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ( l3_lattices @ SV407 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10293]) ).

thf(10369,plain,
    ! [SV356: $i,SV346: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_0 @ SV346 @ SV356 ) )
        = $false )
      | ( ( l3_lattices @ SV346 )
        = $false )
      | ( ( v3_struct_0 @ SV346 )
        = $true )
      | ( ( v10_lattices @ SV346 )
        = $false )
      | ( ( m1_filter_0 @ SV356 @ SV346 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10296]) ).

thf(10370,plain,
    ! [SV408: $i] :
      ( ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV408 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV408 )
          | ~ ( v10_lattices @ SV408 )
          | ~ ( v11_lattices @ SV408 )
          | ~ ( l3_lattices @ SV408 )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10298]) ).

thf(10371,plain,
    ! [SV409: $i] :
      ( ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV409 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV409 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV409 )
          | ~ ( v10_lattices @ SV409 )
          | ~ ( v11_lattices @ SV409 )
          | ~ ( l3_lattices @ SV409 )
          | ( v10_lattices @ ( k1_lattice2 @ SV409 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10299]) ).

thf(10372,plain,
    ! [SV380: $i] :
      ( ( ( ( v3_struct_0 @ SV380 )
          | ~ ( v10_lattices @ SV380 )
          | ~ ( v11_lattices @ SV380 )
          | ~ ( l3_lattices @ SV380 ) )
        = $true )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV380 ) )
        = $true )
      | ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( l3_lattices @ SV380 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10300]) ).

thf(10373,plain,
    ! [SV348: $i] :
      ( ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV348 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV348 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV348 ) )
        = $true )
      | ( ( l3_lattices @ ( k1_lattice2 @ SV348 ) )
        = $true )
      | ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( l3_lattices @ SV348 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10301]) ).

thf(10374,plain,
    ! [SV410: $i] :
      ( ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV410 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV410 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v3_struct_0 @ SV410 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10302]) ).

thf(10375,plain,
    ! [SV411: $i] :
      ( ( ( v3_struct_0 @ SV411 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV411 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV411 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) )
          | ( v10_lattices @ SV411 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10303]) ).

thf(10376,plain,
    ! [SV381: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( v11_lattices @ SV381 )
        = $true )
      | ( ( v10_lattices @ SV381 )
        = $false )
      | ( ( v3_struct_0 @ SV381 )
        = $true )
      | ( ( l3_lattices @ SV381 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10304]) ).

thf(10377,plain,
    ! [SV349: $i] :
      ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $true )
      | ( ( v10_lattices @ SV349 )
        = $false )
      | ( ( v3_struct_0 @ SV349 )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10305]) ).

thf(10378,plain,
    ! [SV312: $i,SV24: $i,SV390: $i] :
      ( ( ( v10_lattices @ SV390 )
        = $false )
      | ( ( v3_struct_0 @ SV390 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV390 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV24 @ SV312 )
          | ~ ( r1_filter_1 @ SV312 @ SV390 )
          | ( r1_filter_1 @ SV24 @ SV390 ) )
        = $true )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10306]) ).

thf(10379,plain,
    ! [SV140: $i,SV322: $i,SV413: $i] :
      ( ( ( m1_lattice4 @ SV413 @ SV322 @ SV140 )
        = $false )
      | ( ( ~ ( v2_lattice4 @ SV413 @ SV322 @ SV140 )
          | ( v11_lattices @ SV140 ) )
        = $true )
      | ( ( v11_lattices @ SV322 )
        = $false )
      | ( ( v3_struct_0 @ SV322 )
        = $true )
      | ( ( v10_lattices @ SV322 )
        = $false )
      | ( ( l3_lattices @ SV322 )
        = $false )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10308]) ).

thf(10380,plain,
    ! [SV364: $i,SV151: $i] :
      ( ( ( ~ ( v12_lattices @ SV151 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ SV364 ) )
        = $true )
      | ( ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV364 ) )
        = $true )
      | ( ( v10_lattices @ SV364 )
        = $false )
      | ( ( v3_struct_0 @ SV364 )
        = $true )
      | ( ( l3_lattices @ SV364 )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10309]) ).

thf(10381,plain,
    ! [SV151: $i,SV391: $i] :
      ( ( ( v10_lattices @ SV391 )
        = $false )
      | ( ( v3_struct_0 @ SV391 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV391 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV391 ) )
          | ( v12_lattices @ SV151 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10310]) ).

thf(10382,plain,
    ! [SV151: $i,SV392: $i] :
      ( ( ( v10_lattices @ SV392 )
        = $false )
      | ( ( v3_struct_0 @ SV392 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV392 ) )
        = $true )
      | ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV392 ) )
          | ( v12_lattices @ SV392 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10311]) ).

thf(10383,plain,
    ! [SV365: $i,SV152: $i] :
      ( ( ( r1_filter_1 @ SV152 @ SV365 )
        = $false )
      | ( ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV365 ) )
        = $true )
      | ( ( v10_lattices @ SV365 )
        = $false )
      | ( ( v3_struct_0 @ SV365 )
        = $true )
      | ( ( l3_lattices @ SV365 )
        = $false )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10312]) ).

thf(10384,plain,
    ! [SV366: $i,SV152: $i] :
      ( ( ( r4_wellord1 @ ( k9_filter_1 @ SV152 ) @ ( k9_filter_1 @ SV366 ) )
        = $false )
      | ( ( r1_filter_1 @ SV152 @ SV366 )
        = $true )
      | ( ( v10_lattices @ SV366 )
        = $false )
      | ( ( v3_struct_0 @ SV366 )
        = $true )
      | ( ( l3_lattices @ SV366 )
        = $false )
      | ( ( v10_lattices @ SV152 )
        = $false )
      | ( ( v3_struct_0 @ SV152 )
        = $true )
      | ( ( l3_lattices @ SV152 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10313]) ).

thf(10385,plain,
    ! [SV325: $i,SV350: $i] :
      ( ( ( v2_pre_topc @ SV350 )
        = $false )
      | ( ( v3_struct_0 @ SV350 )
        = $true )
      | ( ( v2_pre_topc @ SV325 )
        = $false )
      | ( ( v3_struct_0 @ SV325 )
        = $true )
      | ( ( l1_pre_topc @ SV325 )
        = $false )
      | ( ( ~ ( l1_pre_topc @ SV350 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10315]) ).

thf(10386,plain,
    ! [SV326: $i,SV351: $i] :
      ( ( ( v2_pre_topc @ SV351 )
        = $false )
      | ( ( v3_struct_0 @ SV351 )
        = $true )
      | ( ( v2_pre_topc @ SV326 )
        = $false )
      | ( ( v3_struct_0 @ SV326 )
        = $true )
      | ( ( l1_pre_topc @ SV326 )
        = $false )
      | ( ( ~ ( l1_pre_topc @ SV351 ) )
        = $true )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10316]) ).

thf(10387,plain,
    ! [SV369: $i,SV156: $i,SV425: $i] :
      ( ( ( ~ ( m1_lattice4 @ SV425 @ SV156 @ SV369 )
          | ~ ( v3_lattice4 @ SV425 @ SV156 @ SV369 ) )
        = $true )
      | ( ( r1_filter_1 @ SV156 @ SV369 )
        = $true )
      | ( ( v10_lattices @ SV369 )
        = $false )
      | ( ( v3_struct_0 @ SV369 )
        = $true )
      | ( ( l3_lattices @ SV369 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10317]) ).

thf(10388,plain,
    ! [SV370: $i,SV156: $i] :
      ( ( ( r1_filter_1 @ SV156 @ SV370 )
        = $false )
      | ( ( ~ ( ~ ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
              | ~ ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) ) )
        = $true )
      | ( ( v10_lattices @ SV370 )
        = $false )
      | ( ( v3_struct_0 @ SV370 )
        = $true )
      | ( ( l3_lattices @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10318]) ).

thf(10389,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY485: $i] :
                ( ( v3_struct_0 @ SY485 )
                | ~ ( v10_lattices @ SY485 )
                | ~ ( l3_lattices @ SY485 )
                | ( v3_struct_0 @ SV157 )
                | ~ ( v10_lattices @ SV157 )
                | ~ ( v17_lattices @ SV157 )
                | ~ ( l3_lattices @ SV157 )
                | ( v3_struct_0 @ SY485 )
                | ~ ( v10_lattices @ SY485 )
                | ~ ( v17_lattices @ SY485 )
                | ~ ( l3_lattices @ SY485 )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10319]) ).

thf(10390,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY486: $i] :
                ( ( v3_struct_0 @ SY486 )
                | ~ ( v10_lattices @ SY486 )
                | ~ ( l3_lattices @ SY486 )
                | ( v3_struct_0 @ SV157 )
                | ~ ( v10_lattices @ SV157 )
                | ~ ( v17_lattices @ SV157 )
                | ~ ( l3_lattices @ SV157 )
                | ( v3_struct_0 @ SY486 )
                | ~ ( v10_lattices @ SY486 )
                | ~ ( v17_lattices @ SY486 )
                | ~ ( l3_lattices @ SY486 )
                | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10319]) ).

thf(10391,plain,
    ! [SV157: $i,SV417: $i] :
      ( ( ( ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 )
          | ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 )
          | ~ ( v17_lattices @ SV417 )
          | ~ ( l3_lattices @ SV417 )
          | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10320]) ).

thf(10392,plain,
    ! [SV157: $i,SV393: $i] :
      ( ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 )
          | ~ ( v17_lattices @ SV393 )
          | ~ ( l3_lattices @ SV393 )
          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10321]) ).

thf(10393,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                        ( ( v3_struct_0 @ SY489 )
                                        | ~ ( v10_lattices @ SY489 )
                                        | ~ ( l3_lattices @ SY489 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                        | ~ ( v3_struct_0 @ SV157 ) )
                                  | ~ ! [SY490: $i] :
                                        ( ( v3_struct_0 @ SY490 )
                                        | ~ ( v10_lattices @ SY490 )
                                        | ~ ( l3_lattices @ SY490 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                        | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                        | ( v10_lattices @ SV157 ) ) )
                            | ~ ! [SY491: $i] :
                                  ( ( v3_struct_0 @ SY491 )
                                  | ~ ( v10_lattices @ SY491 )
                                  | ~ ( l3_lattices @ SY491 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                  | ( v17_lattices @ SV157 ) ) )
                      | ~ ! [SY492: $i] :
                            ( ( v3_struct_0 @ SY492 )
                            | ~ ( v10_lattices @ SY492 )
                            | ~ ( l3_lattices @ SY492 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                            | ( l3_lattices @ SV157 ) ) )
                | ~ ! [SY493: $i] :
                      ( ( v3_struct_0 @ SY493 )
                      | ~ ( v10_lattices @ SY493 )
                      | ~ ( l3_lattices @ SY493 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                      | ~ ( v3_struct_0 @ SY493 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10322]) ).

thf(10394,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY494: $i] :
                ( ( v3_struct_0 @ SY494 )
                | ~ ( v10_lattices @ SY494 )
                | ~ ( l3_lattices @ SY494 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
                | ( v10_lattices @ SY494 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10322]) ).

thf(10395,plain,
    ! [SV157: $i,SV418: $i] :
      ( ( ( ( v3_struct_0 @ SV418 )
          | ~ ( v10_lattices @ SV418 )
          | ~ ( l3_lattices @ SV418 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ( v17_lattices @ SV418 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10323]) ).

thf(10396,plain,
    ! [SV157: $i,SV394: $i] :
      ( ( ( v10_lattices @ SV394 )
        = $false )
      | ( ( v3_struct_0 @ SV394 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV394 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ( l3_lattices @ SV394 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10324]) ).

thf(10397,plain,
    ! [SV371: $i,SV158: $i] :
      ( ( ( ~ ( v3_filter_0 @ SV158 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ SV371 ) )
        = $true )
      | ( ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV371 ) )
        = $true )
      | ( ( v10_lattices @ SV371 )
        = $false )
      | ( ( v3_struct_0 @ SV371 )
        = $true )
      | ( ( l3_lattices @ SV371 )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10325]) ).

thf(10398,plain,
    ! [SV158: $i,SV395: $i] :
      ( ( ( v10_lattices @ SV395 )
        = $false )
      | ( ( v3_struct_0 @ SV395 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV395 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV395 ) )
          | ( v3_filter_0 @ SV158 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10326]) ).

thf(10399,plain,
    ! [SV158: $i,SV396: $i] :
      ( ( ( v10_lattices @ SV396 )
        = $false )
      | ( ( v3_struct_0 @ SV396 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV396 ) )
        = $true )
      | ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV396 ) )
          | ( v3_filter_0 @ SV396 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10327]) ).

thf(10400,plain,
    ! [SV160: $i] :
      ( ( ( ~ ! [SY501: $i] :
                ( ( v3_struct_0 @ SY501 )
                | ~ ( l3_lattices @ SY501 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                | ~ ( v3_struct_0 @ SV160 ) )
          | ~ ! [SY502: $i] :
                ( ( v3_struct_0 @ SY502 )
                | ~ ( l3_lattices @ SY502 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                | ( v10_lattices @ SV160 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10328]) ).

thf(10401,plain,
    ! [SV160: $i,SV426: $i] :
      ( ( ( ( v3_struct_0 @ SV426 )
          | ~ ( l3_lattices @ SV426 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ( l3_lattices @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10329]) ).

thf(10402,plain,
    ! [SV160: $i,SV412: $i] :
      ( ( ( l3_lattices @ SV412 )
        = $false )
      | ( ( v3_struct_0 @ SV412 )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( v3_struct_0 @ SV412 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10330]) ).

thf(10403,plain,
    ! [SV383: $i,SV160: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV383 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) ) )
        = $true )
      | ( ( v10_lattices @ SV383 )
        = $true )
      | ( ( v3_struct_0 @ SV383 )
        = $true )
      | ( ( l3_lattices @ SV383 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10331]) ).

thf(10404,plain,
    ! [SV161: $i,SV387: $i] :
      ( ( ( v2_filter_0 @ SV387 @ SV161 )
        = $false )
      | ( ( SV387
          = ( k1_filter_0 @ SV161 ) )
        = $true )
      | ( ( v1_filter_0 @ SV387 @ SV161 )
        = $true )
      | ( ( m1_filter_0 @ SV387 @ SV161 )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10333]) ).

thf(10405,plain,
    ! [SV161: $i,SV414: $i] :
      ( ( ( m1_filter_0 @ SV414 @ SV161 )
        = $false )
      | ( ( ~ ( v1_filter_0 @ SV414 @ SV161 )
          | ( SV414
           != ( k1_filter_0 @ SV161 ) ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10334]) ).

thf(10406,plain,
    ! [SV161: $i,SV415: $i] :
      ( ( ( m1_filter_0 @ SV415 @ SV161 )
        = $false )
      | ( ( ~ ( v1_filter_0 @ SV415 @ SV161 )
          | ( v2_filter_0 @ SV415 @ SV161 ) )
        = $true )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10335]) ).

thf(10407,plain,
    ! [SV162: $i] :
      ( ( ( ! [SY510: $i] :
              ( ~ ( m1_filter_0 @ SY510 @ SV162 )
              | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SY510 ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10336]) ).

thf(10408,plain,
    ! [SV162: $i] :
      ( ( ( ! [SY511: $i] :
              ( ~ ( m1_filter_0 @ SY511 @ SV162 )
              | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SY511 ) ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10337]) ).

thf(10409,plain,
    ! [SV162: $i,SV416: $i] :
      ( ( ( m1_filter_0 @ SV416 @ SV162 )
        = $false )
      | ( ( v17_lattices @ ( k5_filter_1 @ SV162 @ SV416 ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10338]) ).

thf(10410,plain,
    ! [SV163: $i] :
      ( ( ( ~ ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10339]) ).

thf(10411,plain,
    ! [SV163: $i] :
      ( ( ( ~ ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10339]) ).

thf(10412,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY514: $i] :
                ( ( v3_struct_0 @ SY514 )
                | ~ ( v10_lattices @ SY514 )
                | ~ ( l3_lattices @ SY514 )
                | ( v3_struct_0 @ SV164 )
                | ~ ( v10_lattices @ SV164 )
                | ~ ( v11_lattices @ SV164 )
                | ~ ( l3_lattices @ SV164 )
                | ( v3_struct_0 @ SY514 )
                | ~ ( v10_lattices @ SY514 )
                | ~ ( v11_lattices @ SY514 )
                | ~ ( l3_lattices @ SY514 )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10340]) ).

thf(10413,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY515: $i] :
                ( ( v3_struct_0 @ SY515 )
                | ~ ( v10_lattices @ SY515 )
                | ~ ( l3_lattices @ SY515 )
                | ( v3_struct_0 @ SV164 )
                | ~ ( v10_lattices @ SV164 )
                | ~ ( v11_lattices @ SV164 )
                | ~ ( l3_lattices @ SV164 )
                | ( v3_struct_0 @ SY515 )
                | ~ ( v10_lattices @ SY515 )
                | ~ ( v11_lattices @ SY515 )
                | ~ ( l3_lattices @ SY515 )
                | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10340]) ).

thf(10414,plain,
    ! [SV164: $i,SV419: $i] :
      ( ( ( ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 )
          | ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 )
          | ~ ( v11_lattices @ SV419 )
          | ~ ( l3_lattices @ SV419 )
          | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10341]) ).

thf(10415,plain,
    ! [SV164: $i,SV397: $i] :
      ( ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 )
          | ~ ( v11_lattices @ SV397 )
          | ~ ( l3_lattices @ SV397 )
          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10342]) ).

thf(10416,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                        ( ( v3_struct_0 @ SY518 )
                                        | ~ ( v10_lattices @ SY518 )
                                        | ~ ( l3_lattices @ SY518 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                        | ~ ( v3_struct_0 @ SV164 ) )
                                  | ~ ! [SY519: $i] :
                                        ( ( v3_struct_0 @ SY519 )
                                        | ~ ( v10_lattices @ SY519 )
                                        | ~ ( l3_lattices @ SY519 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                        | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                        | ( v10_lattices @ SV164 ) ) )
                            | ~ ! [SY520: $i] :
                                  ( ( v3_struct_0 @ SY520 )
                                  | ~ ( v10_lattices @ SY520 )
                                  | ~ ( l3_lattices @ SY520 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                  | ( v11_lattices @ SV164 ) ) )
                      | ~ ! [SY521: $i] :
                            ( ( v3_struct_0 @ SY521 )
                            | ~ ( v10_lattices @ SY521 )
                            | ~ ( l3_lattices @ SY521 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                            | ( l3_lattices @ SV164 ) ) )
                | ~ ! [SY522: $i] :
                      ( ( v3_struct_0 @ SY522 )
                      | ~ ( v10_lattices @ SY522 )
                      | ~ ( l3_lattices @ SY522 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                      | ~ ( v3_struct_0 @ SY522 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10343]) ).

thf(10417,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY523: $i] :
                ( ( v3_struct_0 @ SY523 )
                | ~ ( v10_lattices @ SY523 )
                | ~ ( l3_lattices @ SY523 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
                | ( v10_lattices @ SY523 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10343]) ).

thf(10418,plain,
    ! [SV164: $i,SV420: $i] :
      ( ( ( ( v3_struct_0 @ SV420 )
          | ~ ( v10_lattices @ SV420 )
          | ~ ( l3_lattices @ SV420 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ( v11_lattices @ SV420 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10344]) ).

thf(10419,plain,
    ! [SV164: $i,SV398: $i] :
      ( ( ( v10_lattices @ SV398 )
        = $false )
      | ( ( v3_struct_0 @ SV398 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV398 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ( l3_lattices @ SV398 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10345]) ).

thf(10420,plain,
    ! [SV372: $i,SV165: $i] :
      ( ( ( ~ ( v15_lattices @ SV165 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV372 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV372 ) )
        = $true )
      | ( ( v10_lattices @ SV372 )
        = $false )
      | ( ( v3_struct_0 @ SV372 )
        = $true )
      | ( ( l3_lattices @ SV372 )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10346]) ).

thf(10421,plain,
    ! [SV165: $i,SV399: $i] :
      ( ( ( v10_lattices @ SV399 )
        = $false )
      | ( ( v3_struct_0 @ SV399 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV399 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV399 ) )
          | ( v15_lattices @ SV165 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10347]) ).

thf(10422,plain,
    ! [SV165: $i,SV400: $i] :
      ( ( ( v10_lattices @ SV400 )
        = $false )
      | ( ( v3_struct_0 @ SV400 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV400 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV400 ) )
          | ( v15_lattices @ SV400 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10348]) ).

thf(10423,plain,
    ! [SV373: $i,SV168: $i] :
      ( ( ( ~ ( v14_lattices @ SV168 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ SV373 ) )
        = $true )
      | ( ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV373 ) )
        = $true )
      | ( ( v10_lattices @ SV373 )
        = $false )
      | ( ( v3_struct_0 @ SV373 )
        = $true )
      | ( ( l3_lattices @ SV373 )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10349]) ).

thf(10424,plain,
    ! [SV168: $i,SV401: $i] :
      ( ( ( v10_lattices @ SV401 )
        = $false )
      | ( ( v3_struct_0 @ SV401 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV401 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV401 ) )
          | ( v14_lattices @ SV168 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10350]) ).

thf(10425,plain,
    ! [SV168: $i,SV402: $i] :
      ( ( ( v10_lattices @ SV402 )
        = $false )
      | ( ( v3_struct_0 @ SV402 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV402 ) )
        = $true )
      | ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV402 ) )
          | ( v14_lattices @ SV402 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10351]) ).

thf(10426,plain,
    ! [SV384: $i,SV374: $i] :
      ( ( ( l3_lattices @ SV374 )
        = $false )
      | ( ( v3_struct_0 @ SV374 )
        = $true )
      | ( ( v10_lattices @ SV374 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV384 @ SV374 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k5_filter_1 @ SV374 @ SV384 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10352]) ).

thf(10427,plain,
    ! [SV385: $i,SV375: $i] :
      ( ( ( l3_lattices @ SV375 )
        = $false )
      | ( ( v3_struct_0 @ SV375 )
        = $true )
      | ( ( v10_lattices @ SV375 )
        = $false )
      | ( ( ~ ( m1_filter_0 @ SV385 @ SV375 ) )
        = $true )
      | ( ( v3_lattices @ ( k5_filter_1 @ SV375 @ SV385 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10353]) ).

thf(10428,plain,
    ! [SV376: $i,SV169: $i] :
      ( ( ( ~ ( v13_lattices @ SV169 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ SV376 ) )
        = $true )
      | ( ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV376 ) )
        = $true )
      | ( ( v10_lattices @ SV376 )
        = $false )
      | ( ( v3_struct_0 @ SV376 )
        = $true )
      | ( ( l3_lattices @ SV376 )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10357]) ).

thf(10429,plain,
    ! [SV169: $i,SV403: $i] :
      ( ( ( v10_lattices @ SV403 )
        = $false )
      | ( ( v3_struct_0 @ SV403 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV403 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV403 ) )
          | ( v13_lattices @ SV169 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10358]) ).

thf(10430,plain,
    ! [SV169: $i,SV404: $i] :
      ( ( ( v10_lattices @ SV404 )
        = $false )
      | ( ( v3_struct_0 @ SV404 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV404 ) )
        = $true )
      | ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV404 ) )
          | ( v13_lattices @ SV404 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10359]) ).

thf(10431,plain,
    ! [SV421: $i] :
      ( ( ( ~ ( l3_lattices @ SV421 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV421 )
          | ~ ( v17_lattices @ SV421 )
          | ~ ( v3_struct_0 @ SV421 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10360]) ).

thf(10432,plain,
    ! [SV422: $i] :
      ( ( ( ~ ( l3_lattices @ SV422 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV422 )
          | ~ ( v17_lattices @ SV422 )
          | ( v11_lattices @ SV422 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[10361]) ).

thf(10433,plain,
    ! [SV405: $i] :
      ( ( ( v3_struct_0 @ SV405 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV405 ) )
        = $true )
      | ( ( v13_lattices @ SV405 )
        = $true )
      | ( ( l3_lattices @ SV405 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10362]) ).

thf(10434,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ! [SY535: $i] :
                      ( ( v3_struct_0 @ SY535 )
                      | ~ ( v10_lattices @ SY535 )
                      | ~ ( l3_lattices @ SY535 )
                      | ( v3_struct_0 @ SV170 )
                      | ~ ( v10_lattices @ SV170 )
                      | ~ ( v15_lattices @ SV170 )
                      | ~ ( v16_lattices @ SV170 )
                      | ~ ( l3_lattices @ SV170 )
                      | ( v3_struct_0 @ SY535 )
                      | ~ ( v10_lattices @ SY535 )
                      | ~ ( v15_lattices @ SY535 )
                      | ~ ( v16_lattices @ SY535 )
                      | ~ ( l3_lattices @ SY535 )
                      | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
                | ~ ! [SY536: $i] :
                      ( ( v3_struct_0 @ SY536 )
                      | ~ ( v10_lattices @ SY536 )
                      | ~ ( l3_lattices @ SY536 )
                      | ( v3_struct_0 @ SV170 )
                      | ~ ( v10_lattices @ SV170 )
                      | ~ ( v15_lattices @ SV170 )
                      | ~ ( v16_lattices @ SV170 )
                      | ~ ( l3_lattices @ SV170 )
                      | ( v3_struct_0 @ SY536 )
                      | ~ ( v10_lattices @ SY536 )
                      | ~ ( v15_lattices @ SY536 )
                      | ~ ( v16_lattices @ SY536 )
                      | ~ ( l3_lattices @ SY536 )
                      | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10363]) ).

thf(10435,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY537: $i] :
                ( ( v3_struct_0 @ SY537 )
                | ~ ( v10_lattices @ SY537 )
                | ~ ( l3_lattices @ SY537 )
                | ( v3_struct_0 @ SV170 )
                | ~ ( v10_lattices @ SV170 )
                | ~ ( v15_lattices @ SV170 )
                | ~ ( v16_lattices @ SV170 )
                | ~ ( l3_lattices @ SV170 )
                | ( v3_struct_0 @ SY537 )
                | ~ ( v10_lattices @ SY537 )
                | ~ ( v15_lattices @ SY537 )
                | ~ ( v16_lattices @ SY537 )
                | ~ ( l3_lattices @ SY537 )
                | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10363]) ).

thf(10436,plain,
    ! [SV170: $i,SV423: $i] :
      ( ( ( ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( v15_lattices @ SV423 )
          | ~ ( v16_lattices @ SV423 )
          | ~ ( l3_lattices @ SV423 )
          | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10364]) ).

thf(10437,plain,
    ! [SV170: $i,SV406: $i] :
      ( ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( v15_lattices @ SV406 )
          | ~ ( v16_lattices @ SV406 )
          | ~ ( l3_lattices @ SV406 )
          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10365]) ).

thf(10438,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                    ( ( v3_struct_0 @ SY540 )
                                                    | ~ ( v10_lattices @ SY540 )
                                                    | ~ ( l3_lattices @ SY540 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                    | ~ ( v3_struct_0 @ SV170 ) )
                                              | ~ ! [SY541: $i] :
                                                    ( ( v3_struct_0 @ SY541 )
                                                    | ~ ( v10_lattices @ SY541 )
                                                    | ~ ( l3_lattices @ SY541 )
                                                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                    | ( v10_lattices @ SV170 ) ) )
                                        | ~ ! [SY542: $i] :
                                              ( ( v3_struct_0 @ SY542 )
                                              | ~ ( v10_lattices @ SY542 )
                                              | ~ ( l3_lattices @ SY542 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                              | ( v15_lattices @ SV170 ) ) )
                                  | ~ ! [SY543: $i] :
                                        ( ( v3_struct_0 @ SY543 )
                                        | ~ ( v10_lattices @ SY543 )
                                        | ~ ( l3_lattices @ SY543 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                        | ( v16_lattices @ SV170 ) ) )
                            | ~ ! [SY544: $i] :
                                  ( ( v3_struct_0 @ SY544 )
                                  | ~ ( v10_lattices @ SY544 )
                                  | ~ ( l3_lattices @ SY544 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                  | ( l3_lattices @ SV170 ) ) )
                      | ~ ! [SY545: $i] :
                            ( ( v3_struct_0 @ SY545 )
                            | ~ ( v10_lattices @ SY545 )
                            | ~ ( l3_lattices @ SY545 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                            | ~ ( v3_struct_0 @ SY545 ) ) )
                | ~ ! [SY546: $i] :
                      ( ( v3_struct_0 @ SY546 )
                      | ~ ( v10_lattices @ SY546 )
                      | ~ ( l3_lattices @ SY546 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                      | ( v10_lattices @ SY546 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10366]) ).

thf(10439,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY547: $i] :
                ( ( v3_struct_0 @ SY547 )
                | ~ ( v10_lattices @ SY547 )
                | ~ ( l3_lattices @ SY547 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
                | ( v15_lattices @ SY547 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10366]) ).

thf(10440,plain,
    ! [SV170: $i,SV424: $i] :
      ( ( ( ( v3_struct_0 @ SV424 )
          | ~ ( v10_lattices @ SV424 )
          | ~ ( l3_lattices @ SV424 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ( v16_lattices @ SV424 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10367]) ).

thf(10441,plain,
    ! [SV170: $i,SV407: $i] :
      ( ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV407 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ( l3_lattices @ SV407 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10368]) ).

thf(10442,plain,
    ! [SV408: $i] :
      ( ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV408 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV408 )
          | ~ ( v10_lattices @ SV408 )
          | ~ ( v11_lattices @ SV408 )
          | ~ ( l3_lattices @ SV408 )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10370]) ).

thf(10443,plain,
    ! [SV409: $i] :
      ( ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV409 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV409 )
          | ~ ( v10_lattices @ SV409 )
          | ~ ( v11_lattices @ SV409 )
          | ~ ( l3_lattices @ SV409 )
          | ( v10_lattices @ ( k1_lattice2 @ SV409 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10371]) ).

thf(10444,plain,
    ! [SV380: $i] :
      ( ( ( ( v3_struct_0 @ SV380 )
          | ~ ( v10_lattices @ SV380 )
          | ~ ( v11_lattices @ SV380 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV380 ) )
        = $true )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV380 ) )
        = $true )
      | ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( l3_lattices @ SV380 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10372]) ).

thf(10445,plain,
    ! [SV348: $i] :
      ( ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV348 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV348 ) )
        = $true )
      | ( ( l3_lattices @ ( k1_lattice2 @ SV348 ) )
        = $true )
      | ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( l3_lattices @ SV348 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10373]) ).

thf(10446,plain,
    ! [SV410: $i] :
      ( ( ( v10_lattices @ SV410 )
        = $false )
      | ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV410 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v3_struct_0 @ SV410 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10374]) ).

thf(10447,plain,
    ! [SV411: $i] :
      ( ( ( v10_lattices @ SV411 )
        = $false )
      | ( ( v3_struct_0 @ SV411 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV411 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) )
          | ( v10_lattices @ SV411 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10375]) ).

thf(10448,plain,
    ! [SV381: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( v11_lattices @ SV381 )
        = $true )
      | ( ( v10_lattices @ SV381 )
        = $false )
      | ( ( v3_struct_0 @ SV381 )
        = $true )
      | ( ( l3_lattices @ SV381 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10376]) ).

thf(10449,plain,
    ! [SV349: $i] :
      ( ( ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $true )
      | ( ( v10_lattices @ SV349 )
        = $false )
      | ( ( v3_struct_0 @ SV349 )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10377]) ).

thf(10450,plain,
    ! [SV312: $i,SV24: $i,SV390: $i] :
      ( ( ( l3_lattices @ SV390 )
        = $false )
      | ( ( v3_struct_0 @ SV390 )
        = $true )
      | ( ( v10_lattices @ SV390 )
        = $false )
      | ( ( ~ ( r1_filter_1 @ SV24 @ SV312 )
          | ~ ( r1_filter_1 @ SV312 @ SV390 )
          | ( r1_filter_1 @ SV24 @ SV390 ) )
        = $true )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10378]) ).

thf(10451,plain,
    ! [SV140: $i,SV322: $i,SV413: $i] :
      ( ( ( ~ ( v2_lattice4 @ SV413 @ SV322 @ SV140 ) )
        = $true )
      | ( ( v11_lattices @ SV140 )
        = $true )
      | ( ( m1_lattice4 @ SV413 @ SV322 @ SV140 )
        = $false )
      | ( ( v11_lattices @ SV322 )
        = $false )
      | ( ( v3_struct_0 @ SV322 )
        = $true )
      | ( ( v10_lattices @ SV322 )
        = $false )
      | ( ( l3_lattices @ SV322 )
        = $false )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10379]) ).

thf(10452,plain,
    ! [SV364: $i,SV151: $i] :
      ( ( ( v12_lattices @ SV151 )
        = $false )
      | ( ( ~ ( v12_lattices @ SV364 ) )
        = $true )
      | ( ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV364 ) )
        = $true )
      | ( ( v10_lattices @ SV364 )
        = $false )
      | ( ( v3_struct_0 @ SV364 )
        = $true )
      | ( ( l3_lattices @ SV364 )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10380]) ).

thf(10453,plain,
    ! [SV151: $i,SV391: $i] :
      ( ( ( l3_lattices @ SV391 )
        = $false )
      | ( ( v3_struct_0 @ SV391 )
        = $true )
      | ( ( v10_lattices @ SV391 )
        = $false )
      | ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV391 ) )
          | ( v12_lattices @ SV151 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10381]) ).

thf(10454,plain,
    ! [SV151: $i,SV392: $i] :
      ( ( ( l3_lattices @ SV392 )
        = $false )
      | ( ( v3_struct_0 @ SV392 )
        = $true )
      | ( ( v10_lattices @ SV392 )
        = $false )
      | ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV392 ) )
          | ( v12_lattices @ SV392 ) )
        = $true )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10382]) ).

thf(10455,plain,
    ! [SV325: $i,SV350: $i] :
      ( ( ( l1_pre_topc @ SV350 )
        = $false )
      | ( ( l1_pre_topc @ SV325 )
        = $false )
      | ( ( v3_struct_0 @ SV325 )
        = $true )
      | ( ( v2_pre_topc @ SV325 )
        = $false )
      | ( ( v3_struct_0 @ SV350 )
        = $true )
      | ( ( v2_pre_topc @ SV350 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10385]) ).

thf(10456,plain,
    ! [SV326: $i,SV351: $i] :
      ( ( ( l1_pre_topc @ SV351 )
        = $false )
      | ( ( l1_pre_topc @ SV326 )
        = $false )
      | ( ( v3_struct_0 @ SV326 )
        = $true )
      | ( ( v2_pre_topc @ SV326 )
        = $false )
      | ( ( v3_struct_0 @ SV351 )
        = $true )
      | ( ( v2_pre_topc @ SV351 )
        = $false )
      | ( ( v1_pre_topc @ ( k6_borsuk_1 @ SV326 @ SV351 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10386]) ).

thf(10457,plain,
    ! [SV369: $i,SV156: $i,SV425: $i] :
      ( ( ( ~ ( m1_lattice4 @ SV425 @ SV156 @ SV369 ) )
        = $true )
      | ( ( ~ ( v3_lattice4 @ SV425 @ SV156 @ SV369 ) )
        = $true )
      | ( ( r1_filter_1 @ SV156 @ SV369 )
        = $true )
      | ( ( v10_lattices @ SV369 )
        = $false )
      | ( ( v3_struct_0 @ SV369 )
        = $true )
      | ( ( l3_lattices @ SV369 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10387]) ).

thf(10458,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( ~ ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
          | ~ ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) )
        = $false )
      | ( ( r1_filter_1 @ SV156 @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV370 )
        = $false )
      | ( ( v3_struct_0 @ SV370 )
        = $true )
      | ( ( l3_lattices @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10388]) ).

thf(10459,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY485: $i] :
              ( ( v3_struct_0 @ SY485 )
              | ~ ( v10_lattices @ SY485 )
              | ~ ( l3_lattices @ SY485 )
              | ( v3_struct_0 @ SV157 )
              | ~ ( v10_lattices @ SV157 )
              | ~ ( v17_lattices @ SV157 )
              | ~ ( l3_lattices @ SV157 )
              | ( v3_struct_0 @ SY485 )
              | ~ ( v10_lattices @ SY485 )
              | ~ ( v17_lattices @ SY485 )
              | ~ ( l3_lattices @ SY485 )
              | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY485 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10389]) ).

thf(10460,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY486: $i] :
              ( ( v3_struct_0 @ SY486 )
              | ~ ( v10_lattices @ SY486 )
              | ~ ( l3_lattices @ SY486 )
              | ( v3_struct_0 @ SV157 )
              | ~ ( v10_lattices @ SV157 )
              | ~ ( v17_lattices @ SV157 )
              | ~ ( l3_lattices @ SV157 )
              | ( v3_struct_0 @ SY486 )
              | ~ ( v10_lattices @ SY486 )
              | ~ ( v17_lattices @ SY486 )
              | ~ ( l3_lattices @ SY486 )
              | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY486 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10390]) ).

thf(10461,plain,
    ! [SV157: $i,SV417: $i] :
      ( ( ( ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 )
          | ~ ( v17_lattices @ SV417 )
          | ~ ( l3_lattices @ SV417 )
          | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10391]) ).

thf(10462,plain,
    ! [SV157: $i,SV393: $i] :
      ( ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 )
          | ~ ( v17_lattices @ SV393 )
          | ~ ( l3_lattices @ SV393 )
          | ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10392]) ).

thf(10463,plain,
    ! [SV157: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                      ( ( v3_struct_0 @ SY489 )
                                      | ~ ( v10_lattices @ SY489 )
                                      | ~ ( l3_lattices @ SY489 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                      | ~ ( v3_struct_0 @ SV157 ) )
                                | ~ ! [SY490: $i] :
                                      ( ( v3_struct_0 @ SY490 )
                                      | ~ ( v10_lattices @ SY490 )
                                      | ~ ( l3_lattices @ SY490 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                      | ( v10_lattices @ SV157 ) ) )
                          | ~ ! [SY491: $i] :
                                ( ( v3_struct_0 @ SY491 )
                                | ~ ( v10_lattices @ SY491 )
                                | ~ ( l3_lattices @ SY491 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                                | ( v17_lattices @ SV157 ) ) )
                    | ~ ! [SY492: $i] :
                          ( ( v3_struct_0 @ SY492 )
                          | ~ ( v10_lattices @ SY492 )
                          | ~ ( l3_lattices @ SY492 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                          | ( l3_lattices @ SV157 ) ) )
              | ~ ! [SY493: $i] :
                    ( ( v3_struct_0 @ SY493 )
                    | ~ ( v10_lattices @ SY493 )
                    | ~ ( l3_lattices @ SY493 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                    | ~ ( v3_struct_0 @ SY493 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10393]) ).

thf(10464,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY494: $i] :
              ( ( v3_struct_0 @ SY494 )
              | ~ ( v10_lattices @ SY494 )
              | ~ ( l3_lattices @ SY494 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY494 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY494 ) )
              | ( v10_lattices @ SY494 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10394]) ).

thf(10465,plain,
    ! [SV157: $i,SV418: $i] :
      ( ( ( ( v3_struct_0 @ SV418 )
          | ~ ( v10_lattices @ SV418 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV418 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ( v17_lattices @ SV418 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10395]) ).

thf(10466,plain,
    ! [SV157: $i,SV394: $i] :
      ( ( ( l3_lattices @ SV394 )
        = $false )
      | ( ( v3_struct_0 @ SV394 )
        = $true )
      | ( ( v10_lattices @ SV394 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ( l3_lattices @ SV394 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10396]) ).

thf(10467,plain,
    ! [SV371: $i,SV158: $i] :
      ( ( ( v3_filter_0 @ SV158 )
        = $false )
      | ( ( ~ ( v3_filter_0 @ SV371 ) )
        = $true )
      | ( ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV371 ) )
        = $true )
      | ( ( v10_lattices @ SV371 )
        = $false )
      | ( ( v3_struct_0 @ SV371 )
        = $true )
      | ( ( l3_lattices @ SV371 )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10397]) ).

thf(10468,plain,
    ! [SV158: $i,SV395: $i] :
      ( ( ( l3_lattices @ SV395 )
        = $false )
      | ( ( v3_struct_0 @ SV395 )
        = $true )
      | ( ( v10_lattices @ SV395 )
        = $false )
      | ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV395 ) )
          | ( v3_filter_0 @ SV158 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10398]) ).

thf(10469,plain,
    ! [SV158: $i,SV396: $i] :
      ( ( ( l3_lattices @ SV396 )
        = $false )
      | ( ( v3_struct_0 @ SV396 )
        = $true )
      | ( ( v10_lattices @ SV396 )
        = $false )
      | ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV396 ) )
          | ( v3_filter_0 @ SV396 ) )
        = $true )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10399]) ).

thf(10470,plain,
    ! [SV160: $i] :
      ( ( ( ~ ! [SY501: $i] :
                ( ( v3_struct_0 @ SY501 )
                | ~ ( l3_lattices @ SY501 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
                | ~ ( v3_struct_0 @ SV160 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10400]) ).

thf(10471,plain,
    ! [SV160: $i] :
      ( ( ( ~ ! [SY502: $i] :
                ( ( v3_struct_0 @ SY502 )
                | ~ ( l3_lattices @ SY502 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
                | ( v10_lattices @ SV160 ) ) )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10400]) ).

thf(10472,plain,
    ! [SV160: $i,SV426: $i] :
      ( ( ( ( v3_struct_0 @ SV426 )
          | ~ ( l3_lattices @ SV426 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ( l3_lattices @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10401]) ).

thf(10473,plain,
    ! [SV412: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV412 ) )
        = $true )
      | ( ( v3_struct_0 @ SV412 )
        = $true )
      | ( ( l3_lattices @ SV412 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10402]) ).

thf(10474,plain,
    ! [SV383: $i,SV160: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV383 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) ) )
        = $true )
      | ( ( v10_lattices @ SV383 )
        = $true )
      | ( ( v3_struct_0 @ SV383 )
        = $true )
      | ( ( l3_lattices @ SV383 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10403]) ).

thf(10475,plain,
    ! [SV161: $i,SV414: $i] :
      ( ( ( ~ ( v1_filter_0 @ SV414 @ SV161 ) )
        = $true )
      | ( ( ( SV414
           != ( k1_filter_0 @ SV161 ) ) )
        = $true )
      | ( ( m1_filter_0 @ SV414 @ SV161 )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10405]) ).

thf(10476,plain,
    ! [SV161: $i,SV415: $i] :
      ( ( ( ~ ( v1_filter_0 @ SV415 @ SV161 ) )
        = $true )
      | ( ( v2_filter_0 @ SV415 @ SV161 )
        = $true )
      | ( ( m1_filter_0 @ SV415 @ SV161 )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10406]) ).

thf(10477,plain,
    ! [SV162: $i,SV427: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV427 @ SV162 )
          | ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SV427 ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10407]) ).

thf(10478,plain,
    ! [SV162: $i,SV428: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV428 @ SV162 )
          | ( v10_lattices @ ( k5_filter_1 @ SV162 @ SV428 ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10408]) ).

thf(10479,plain,
    ! [SV163: $i] :
      ( ( ( m1_pre_topc @ ( sK7_B @ SV163 ) @ SV163 )
        = $true )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10410]) ).

thf(10480,plain,
    ! [SV163: $i] :
      ( ( ( ~ ( v3_struct_0 @ ( sK7_B @ SV163 ) ) )
        = $true )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10411]) ).

thf(10481,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY514: $i] :
              ( ( v3_struct_0 @ SY514 )
              | ~ ( v10_lattices @ SY514 )
              | ~ ( l3_lattices @ SY514 )
              | ( v3_struct_0 @ SV164 )
              | ~ ( v10_lattices @ SV164 )
              | ~ ( v11_lattices @ SV164 )
              | ~ ( l3_lattices @ SV164 )
              | ( v3_struct_0 @ SY514 )
              | ~ ( v10_lattices @ SY514 )
              | ~ ( v11_lattices @ SY514 )
              | ~ ( l3_lattices @ SY514 )
              | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY514 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10412]) ).

thf(10482,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY515: $i] :
              ( ( v3_struct_0 @ SY515 )
              | ~ ( v10_lattices @ SY515 )
              | ~ ( l3_lattices @ SY515 )
              | ( v3_struct_0 @ SV164 )
              | ~ ( v10_lattices @ SV164 )
              | ~ ( v11_lattices @ SV164 )
              | ~ ( l3_lattices @ SV164 )
              | ( v3_struct_0 @ SY515 )
              | ~ ( v10_lattices @ SY515 )
              | ~ ( v11_lattices @ SY515 )
              | ~ ( l3_lattices @ SY515 )
              | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY515 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10413]) ).

thf(10483,plain,
    ! [SV164: $i,SV419: $i] :
      ( ( ( ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 )
          | ~ ( v11_lattices @ SV419 )
          | ~ ( l3_lattices @ SV419 )
          | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10414]) ).

thf(10484,plain,
    ! [SV164: $i,SV397: $i] :
      ( ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 )
          | ~ ( v11_lattices @ SV397 )
          | ~ ( l3_lattices @ SV397 )
          | ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10415]) ).

thf(10485,plain,
    ! [SV164: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                      ( ( v3_struct_0 @ SY518 )
                                      | ~ ( v10_lattices @ SY518 )
                                      | ~ ( l3_lattices @ SY518 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                      | ~ ( v3_struct_0 @ SV164 ) )
                                | ~ ! [SY519: $i] :
                                      ( ( v3_struct_0 @ SY519 )
                                      | ~ ( v10_lattices @ SY519 )
                                      | ~ ( l3_lattices @ SY519 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                      | ( v10_lattices @ SV164 ) ) )
                          | ~ ! [SY520: $i] :
                                ( ( v3_struct_0 @ SY520 )
                                | ~ ( v10_lattices @ SY520 )
                                | ~ ( l3_lattices @ SY520 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                                | ( v11_lattices @ SV164 ) ) )
                    | ~ ! [SY521: $i] :
                          ( ( v3_struct_0 @ SY521 )
                          | ~ ( v10_lattices @ SY521 )
                          | ~ ( l3_lattices @ SY521 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                          | ( l3_lattices @ SV164 ) ) )
              | ~ ! [SY522: $i] :
                    ( ( v3_struct_0 @ SY522 )
                    | ~ ( v10_lattices @ SY522 )
                    | ~ ( l3_lattices @ SY522 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                    | ~ ( v3_struct_0 @ SY522 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10416]) ).

thf(10486,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY523: $i] :
              ( ( v3_struct_0 @ SY523 )
              | ~ ( v10_lattices @ SY523 )
              | ~ ( l3_lattices @ SY523 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY523 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY523 ) )
              | ( v10_lattices @ SY523 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10417]) ).

thf(10487,plain,
    ! [SV164: $i,SV420: $i] :
      ( ( ( ( v3_struct_0 @ SV420 )
          | ~ ( v10_lattices @ SV420 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV420 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ( v11_lattices @ SV420 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10418]) ).

thf(10488,plain,
    ! [SV164: $i,SV398: $i] :
      ( ( ( l3_lattices @ SV398 )
        = $false )
      | ( ( v3_struct_0 @ SV398 )
        = $true )
      | ( ( v10_lattices @ SV398 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ( l3_lattices @ SV398 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10419]) ).

thf(10489,plain,
    ! [SV372: $i,SV165: $i] :
      ( ( ( v15_lattices @ SV165 )
        = $false )
      | ( ( ~ ( v15_lattices @ SV372 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV372 ) )
        = $true )
      | ( ( v10_lattices @ SV372 )
        = $false )
      | ( ( v3_struct_0 @ SV372 )
        = $true )
      | ( ( l3_lattices @ SV372 )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10420]) ).

thf(10490,plain,
    ! [SV165: $i,SV399: $i] :
      ( ( ( l3_lattices @ SV399 )
        = $false )
      | ( ( v3_struct_0 @ SV399 )
        = $true )
      | ( ( v10_lattices @ SV399 )
        = $false )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV399 ) )
          | ( v15_lattices @ SV165 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10421]) ).

thf(10491,plain,
    ! [SV165: $i,SV400: $i] :
      ( ( ( l3_lattices @ SV400 )
        = $false )
      | ( ( v3_struct_0 @ SV400 )
        = $true )
      | ( ( v10_lattices @ SV400 )
        = $false )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV400 ) )
          | ( v15_lattices @ SV400 ) )
        = $true )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10422]) ).

thf(10492,plain,
    ! [SV373: $i,SV168: $i] :
      ( ( ( v14_lattices @ SV168 )
        = $false )
      | ( ( ~ ( v14_lattices @ SV373 ) )
        = $true )
      | ( ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV373 ) )
        = $true )
      | ( ( v10_lattices @ SV373 )
        = $false )
      | ( ( v3_struct_0 @ SV373 )
        = $true )
      | ( ( l3_lattices @ SV373 )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10423]) ).

thf(10493,plain,
    ! [SV168: $i,SV401: $i] :
      ( ( ( l3_lattices @ SV401 )
        = $false )
      | ( ( v3_struct_0 @ SV401 )
        = $true )
      | ( ( v10_lattices @ SV401 )
        = $false )
      | ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV401 ) )
          | ( v14_lattices @ SV168 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10424]) ).

thf(10494,plain,
    ! [SV168: $i,SV402: $i] :
      ( ( ( l3_lattices @ SV402 )
        = $false )
      | ( ( v3_struct_0 @ SV402 )
        = $true )
      | ( ( v10_lattices @ SV402 )
        = $false )
      | ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV402 ) )
          | ( v14_lattices @ SV402 ) )
        = $true )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10425]) ).

thf(10495,plain,
    ! [SV374: $i,SV384: $i] :
      ( ( ( m1_filter_0 @ SV384 @ SV374 )
        = $false )
      | ( ( v10_lattices @ SV374 )
        = $false )
      | ( ( v3_struct_0 @ SV374 )
        = $true )
      | ( ( l3_lattices @ SV374 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k5_filter_1 @ SV374 @ SV384 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10426]) ).

thf(10496,plain,
    ! [SV375: $i,SV385: $i] :
      ( ( ( m1_filter_0 @ SV385 @ SV375 )
        = $false )
      | ( ( v10_lattices @ SV375 )
        = $false )
      | ( ( v3_struct_0 @ SV375 )
        = $true )
      | ( ( l3_lattices @ SV375 )
        = $false )
      | ( ( v3_lattices @ ( k5_filter_1 @ SV375 @ SV385 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10427]) ).

thf(10497,plain,
    ! [SV376: $i,SV169: $i] :
      ( ( ( v13_lattices @ SV169 )
        = $false )
      | ( ( ~ ( v13_lattices @ SV376 ) )
        = $true )
      | ( ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV376 ) )
        = $true )
      | ( ( v10_lattices @ SV376 )
        = $false )
      | ( ( v3_struct_0 @ SV376 )
        = $true )
      | ( ( l3_lattices @ SV376 )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10428]) ).

thf(10498,plain,
    ! [SV169: $i,SV403: $i] :
      ( ( ( l3_lattices @ SV403 )
        = $false )
      | ( ( v3_struct_0 @ SV403 )
        = $true )
      | ( ( v10_lattices @ SV403 )
        = $false )
      | ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV403 ) )
          | ( v13_lattices @ SV169 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10429]) ).

thf(10499,plain,
    ! [SV169: $i,SV404: $i] :
      ( ( ( l3_lattices @ SV404 )
        = $false )
      | ( ( v3_struct_0 @ SV404 )
        = $true )
      | ( ( v10_lattices @ SV404 )
        = $false )
      | ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV404 ) )
          | ( v13_lattices @ SV404 ) )
        = $true )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10430]) ).

thf(10500,plain,
    ! [SV421: $i] :
      ( ( ( l3_lattices @ SV421 )
        = $false )
      | ( ( ( v3_struct_0 @ SV421 )
          | ~ ( v17_lattices @ SV421 )
          | ~ ( v3_struct_0 @ SV421 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10431]) ).

thf(10501,plain,
    ! [SV422: $i] :
      ( ( ( l3_lattices @ SV422 )
        = $false )
      | ( ( ( v3_struct_0 @ SV422 )
          | ~ ( v17_lattices @ SV422 )
          | ( v11_lattices @ SV422 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10432]) ).

thf(10502,plain,
    ! [SV405: $i] :
      ( ( ( v17_lattices @ SV405 )
        = $false )
      | ( ( v3_struct_0 @ SV405 )
        = $true )
      | ( ( v13_lattices @ SV405 )
        = $true )
      | ( ( l3_lattices @ SV405 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10433]) ).

thf(10503,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ! [SY535: $i] :
                    ( ( v3_struct_0 @ SY535 )
                    | ~ ( v10_lattices @ SY535 )
                    | ~ ( l3_lattices @ SY535 )
                    | ( v3_struct_0 @ SV170 )
                    | ~ ( v10_lattices @ SV170 )
                    | ~ ( v15_lattices @ SV170 )
                    | ~ ( v16_lattices @ SV170 )
                    | ~ ( l3_lattices @ SV170 )
                    | ( v3_struct_0 @ SY535 )
                    | ~ ( v10_lattices @ SY535 )
                    | ~ ( v15_lattices @ SY535 )
                    | ~ ( v16_lattices @ SY535 )
                    | ~ ( l3_lattices @ SY535 )
                    | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
              | ~ ! [SY536: $i] :
                    ( ( v3_struct_0 @ SY536 )
                    | ~ ( v10_lattices @ SY536 )
                    | ~ ( l3_lattices @ SY536 )
                    | ( v3_struct_0 @ SV170 )
                    | ~ ( v10_lattices @ SV170 )
                    | ~ ( v15_lattices @ SV170 )
                    | ~ ( v16_lattices @ SV170 )
                    | ~ ( l3_lattices @ SV170 )
                    | ( v3_struct_0 @ SY536 )
                    | ~ ( v10_lattices @ SY536 )
                    | ~ ( v15_lattices @ SY536 )
                    | ~ ( v16_lattices @ SY536 )
                    | ~ ( l3_lattices @ SY536 )
                    | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10434]) ).

thf(10504,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY537: $i] :
              ( ( v3_struct_0 @ SY537 )
              | ~ ( v10_lattices @ SY537 )
              | ~ ( l3_lattices @ SY537 )
              | ( v3_struct_0 @ SV170 )
              | ~ ( v10_lattices @ SV170 )
              | ~ ( v15_lattices @ SV170 )
              | ~ ( v16_lattices @ SV170 )
              | ~ ( l3_lattices @ SV170 )
              | ( v3_struct_0 @ SY537 )
              | ~ ( v10_lattices @ SY537 )
              | ~ ( v15_lattices @ SY537 )
              | ~ ( v16_lattices @ SY537 )
              | ~ ( l3_lattices @ SY537 )
              | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY537 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10435]) ).

thf(10505,plain,
    ! [SV170: $i,SV423: $i] :
      ( ( ( ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( v15_lattices @ SV423 )
          | ~ ( v16_lattices @ SV423 )
          | ~ ( l3_lattices @ SV423 )
          | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10436]) ).

thf(10506,plain,
    ! [SV170: $i,SV406: $i] :
      ( ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( v15_lattices @ SV406 )
          | ~ ( v16_lattices @ SV406 )
          | ~ ( l3_lattices @ SV406 )
          | ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10437]) ).

thf(10507,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                                  ( ( v3_struct_0 @ SY540 )
                                                  | ~ ( v10_lattices @ SY540 )
                                                  | ~ ( l3_lattices @ SY540 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                                  | ~ ( v3_struct_0 @ SV170 ) )
                                            | ~ ! [SY541: $i] :
                                                  ( ( v3_struct_0 @ SY541 )
                                                  | ~ ( v10_lattices @ SY541 )
                                                  | ~ ( l3_lattices @ SY541 )
                                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                                  | ( v10_lattices @ SV170 ) ) )
                                      | ~ ! [SY542: $i] :
                                            ( ( v3_struct_0 @ SY542 )
                                            | ~ ( v10_lattices @ SY542 )
                                            | ~ ( l3_lattices @ SY542 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                            | ( v15_lattices @ SV170 ) ) )
                                | ~ ! [SY543: $i] :
                                      ( ( v3_struct_0 @ SY543 )
                                      | ~ ( v10_lattices @ SY543 )
                                      | ~ ( l3_lattices @ SY543 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                      | ( v16_lattices @ SV170 ) ) )
                          | ~ ! [SY544: $i] :
                                ( ( v3_struct_0 @ SY544 )
                                | ~ ( v10_lattices @ SY544 )
                                | ~ ( l3_lattices @ SY544 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                                | ( l3_lattices @ SV170 ) ) )
                    | ~ ! [SY545: $i] :
                          ( ( v3_struct_0 @ SY545 )
                          | ~ ( v10_lattices @ SY545 )
                          | ~ ( l3_lattices @ SY545 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                          | ~ ( v3_struct_0 @ SY545 ) ) )
              | ~ ! [SY546: $i] :
                    ( ( v3_struct_0 @ SY546 )
                    | ~ ( v10_lattices @ SY546 )
                    | ~ ( l3_lattices @ SY546 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                    | ( v10_lattices @ SY546 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10438]) ).

thf(10508,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY547: $i] :
              ( ( v3_struct_0 @ SY547 )
              | ~ ( v10_lattices @ SY547 )
              | ~ ( l3_lattices @ SY547 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY547 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY547 ) )
              | ( v15_lattices @ SY547 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10439]) ).

thf(10509,plain,
    ! [SV170: $i,SV424: $i] :
      ( ( ( ( v3_struct_0 @ SV424 )
          | ~ ( v10_lattices @ SV424 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV424 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ( v16_lattices @ SV424 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10440]) ).

thf(10510,plain,
    ! [SV170: $i,SV407: $i] :
      ( ( ( l3_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ( l3_lattices @ SV407 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10441]) ).

thf(10511,plain,
    ! [SV408: $i] :
      ( ( ( l3_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( ( v3_struct_0 @ SV408 )
          | ~ ( v10_lattices @ SV408 )
          | ~ ( v11_lattices @ SV408 )
          | ~ ( l3_lattices @ SV408 )
          | ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10442]) ).

thf(10512,plain,
    ! [SV409: $i] :
      ( ( ( l3_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( ( v3_struct_0 @ SV409 )
          | ~ ( v10_lattices @ SV409 )
          | ~ ( v11_lattices @ SV409 )
          | ~ ( l3_lattices @ SV409 )
          | ( v10_lattices @ ( k1_lattice2 @ SV409 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10443]) ).

thf(10513,plain,
    ! [SV380: $i] :
      ( ( ( ( v3_struct_0 @ SV380 )
          | ~ ( v10_lattices @ SV380 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV380 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV380 ) )
        = $true )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV380 ) )
        = $true )
      | ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( l3_lattices @ SV380 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10444]) ).

thf(10514,plain,
    ! [SV348: $i] :
      ( ( ( v11_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV348 ) )
        = $true )
      | ( ( l3_lattices @ ( k1_lattice2 @ SV348 ) )
        = $true )
      | ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( l3_lattices @ SV348 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10445]) ).

thf(10515,plain,
    ! [SV410: $i] :
      ( ( ( l3_lattices @ SV410 )
        = $false )
      | ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( v10_lattices @ SV410 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v3_struct_0 @ SV410 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10446]) ).

thf(10516,plain,
    ! [SV411: $i] :
      ( ( ( l3_lattices @ SV411 )
        = $false )
      | ( ( v3_struct_0 @ SV411 )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) )
          | ( v10_lattices @ SV411 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10447]) ).

thf(10517,plain,
    ! [SV381: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( v11_lattices @ SV381 )
        = $true )
      | ( ( v10_lattices @ SV381 )
        = $false )
      | ( ( v3_struct_0 @ SV381 )
        = $true )
      | ( ( l3_lattices @ SV381 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10448]) ).

thf(10518,plain,
    ! [SV349: $i] :
      ( ( ( v11_lattices @ ( k1_lattice2 @ SV349 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV349 ) ) )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $true )
      | ( ( v10_lattices @ SV349 )
        = $false )
      | ( ( v3_struct_0 @ SV349 )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10449]) ).

thf(10519,plain,
    ! [SV390: $i,SV312: $i,SV24: $i] :
      ( ( ( ~ ( r1_filter_1 @ SV24 @ SV312 )
          | ~ ( r1_filter_1 @ SV312 @ SV390 ) )
        = $true )
      | ( ( r1_filter_1 @ SV24 @ SV390 )
        = $true )
      | ( ( v10_lattices @ SV390 )
        = $false )
      | ( ( v3_struct_0 @ SV390 )
        = $true )
      | ( ( l3_lattices @ SV390 )
        = $false )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10450]) ).

thf(10520,plain,
    ! [SV140: $i,SV322: $i,SV413: $i] :
      ( ( ( v2_lattice4 @ SV413 @ SV322 @ SV140 )
        = $false )
      | ( ( v11_lattices @ SV140 )
        = $true )
      | ( ( m1_lattice4 @ SV413 @ SV322 @ SV140 )
        = $false )
      | ( ( v11_lattices @ SV322 )
        = $false )
      | ( ( v3_struct_0 @ SV322 )
        = $true )
      | ( ( v10_lattices @ SV322 )
        = $false )
      | ( ( l3_lattices @ SV322 )
        = $false )
      | ( ( v10_lattices @ SV140 )
        = $false )
      | ( ( v3_struct_0 @ SV140 )
        = $true )
      | ( ( l3_lattices @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10451]) ).

thf(10521,plain,
    ! [SV151: $i,SV364: $i] :
      ( ( ( v12_lattices @ SV364 )
        = $false )
      | ( ( v12_lattices @ SV151 )
        = $false )
      | ( ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV364 ) )
        = $true )
      | ( ( v10_lattices @ SV364 )
        = $false )
      | ( ( v3_struct_0 @ SV364 )
        = $true )
      | ( ( l3_lattices @ SV364 )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10452]) ).

thf(10522,plain,
    ! [SV391: $i,SV151: $i] :
      ( ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV391 ) ) )
        = $true )
      | ( ( v12_lattices @ SV151 )
        = $true )
      | ( ( v10_lattices @ SV391 )
        = $false )
      | ( ( v3_struct_0 @ SV391 )
        = $true )
      | ( ( l3_lattices @ SV391 )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10453]) ).

thf(10523,plain,
    ! [SV392: $i,SV151: $i] :
      ( ( ( ~ ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV392 ) ) )
        = $true )
      | ( ( v12_lattices @ SV392 )
        = $true )
      | ( ( v10_lattices @ SV392 )
        = $false )
      | ( ( v3_struct_0 @ SV392 )
        = $true )
      | ( ( l3_lattices @ SV392 )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10454]) ).

thf(10524,plain,
    ! [SV350: $i,SV325: $i] :
      ( ( ( v3_struct_0 @ ( k6_borsuk_1 @ SV325 @ SV350 ) )
        = $false )
      | ( ( v2_pre_topc @ SV350 )
        = $false )
      | ( ( v3_struct_0 @ SV350 )
        = $true )
      | ( ( v2_pre_topc @ SV325 )
        = $false )
      | ( ( v3_struct_0 @ SV325 )
        = $true )
      | ( ( l1_pre_topc @ SV325 )
        = $false )
      | ( ( l1_pre_topc @ SV350 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10455]) ).

thf(10525,plain,
    ! [SV369: $i,SV156: $i,SV425: $i] :
      ( ( ( m1_lattice4 @ SV425 @ SV156 @ SV369 )
        = $false )
      | ( ( ~ ( v3_lattice4 @ SV425 @ SV156 @ SV369 ) )
        = $true )
      | ( ( r1_filter_1 @ SV156 @ SV369 )
        = $true )
      | ( ( v10_lattices @ SV369 )
        = $false )
      | ( ( v3_struct_0 @ SV369 )
        = $true )
      | ( ( l3_lattices @ SV369 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10457]) ).

thf(10526,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( ~ ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) )
        = $false )
      | ( ( r1_filter_1 @ SV156 @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV370 )
        = $false )
      | ( ( v3_struct_0 @ SV370 )
        = $true )
      | ( ( l3_lattices @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10458]) ).

thf(10527,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( ~ ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 ) )
        = $false )
      | ( ( r1_filter_1 @ SV156 @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV370 )
        = $false )
      | ( ( v3_struct_0 @ SV370 )
        = $true )
      | ( ( l3_lattices @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10458]) ).

thf(10528,plain,
    ! [SV157: $i,SV429: $i] :
      ( ( ( ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 )
          | ~ ( l3_lattices @ SV429 )
          | ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 )
          | ~ ( v17_lattices @ SV429 )
          | ~ ( l3_lattices @ SV429 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10459]) ).

thf(10529,plain,
    ! [SV157: $i,SV430: $i] :
      ( ( ( ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 )
          | ~ ( l3_lattices @ SV430 )
          | ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 )
          | ~ ( v17_lattices @ SV430 )
          | ~ ( l3_lattices @ SV430 )
          | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10460]) ).

thf(10530,plain,
    ! [SV157: $i,SV417: $i] :
      ( ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 )
          | ~ ( v17_lattices @ SV417 )
          | ~ ( l3_lattices @ SV417 )
          | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10461]) ).

thf(10531,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 )
          | ~ ( v17_lattices @ SV393 )
          | ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10462]) ).

thf(10532,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                  ( ( v3_struct_0 @ SY489 )
                                  | ~ ( v10_lattices @ SY489 )
                                  | ~ ( l3_lattices @ SY489 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                  | ~ ( v3_struct_0 @ SV157 ) )
                            | ~ ! [SY490: $i] :
                                  ( ( v3_struct_0 @ SY490 )
                                  | ~ ( v10_lattices @ SY490 )
                                  | ~ ( l3_lattices @ SY490 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                  | ( v10_lattices @ SV157 ) ) )
                      | ~ ! [SY491: $i] :
                            ( ( v3_struct_0 @ SY491 )
                            | ~ ( v10_lattices @ SY491 )
                            | ~ ( l3_lattices @ SY491 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                            | ( v17_lattices @ SV157 ) ) )
                | ~ ! [SY492: $i] :
                      ( ( v3_struct_0 @ SY492 )
                      | ~ ( v10_lattices @ SY492 )
                      | ~ ( l3_lattices @ SY492 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                      | ( l3_lattices @ SV157 ) ) )
          | ~ ! [SY493: $i] :
                ( ( v3_struct_0 @ SY493 )
                | ~ ( v10_lattices @ SY493 )
                | ~ ( l3_lattices @ SY493 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                | ~ ( v3_struct_0 @ SY493 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10463]) ).

thf(10533,plain,
    ! [SV157: $i,SV431: $i] :
      ( ( ( ( v3_struct_0 @ SV431 )
          | ~ ( v10_lattices @ SV431 )
          | ~ ( l3_lattices @ SV431 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ( v10_lattices @ SV431 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10464]) ).

thf(10534,plain,
    ! [SV157: $i,SV418: $i] :
      ( ( ( v3_struct_0 @ SV418 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV418 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV418 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ( v17_lattices @ SV418 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10465]) ).

thf(10535,plain,
    ! [SV394: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $true )
      | ( ( v10_lattices @ SV394 )
        = $false )
      | ( ( v3_struct_0 @ SV394 )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10466]) ).

thf(10536,plain,
    ! [SV158: $i,SV371: $i] :
      ( ( ( v3_filter_0 @ SV371 )
        = $false )
      | ( ( v3_filter_0 @ SV158 )
        = $false )
      | ( ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV371 ) )
        = $true )
      | ( ( v10_lattices @ SV371 )
        = $false )
      | ( ( v3_struct_0 @ SV371 )
        = $true )
      | ( ( l3_lattices @ SV371 )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10467]) ).

thf(10537,plain,
    ! [SV395: $i,SV158: $i] :
      ( ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV395 ) ) )
        = $true )
      | ( ( v3_filter_0 @ SV158 )
        = $true )
      | ( ( v10_lattices @ SV395 )
        = $false )
      | ( ( v3_struct_0 @ SV395 )
        = $true )
      | ( ( l3_lattices @ SV395 )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10468]) ).

thf(10538,plain,
    ! [SV396: $i,SV158: $i] :
      ( ( ( ~ ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV396 ) ) )
        = $true )
      | ( ( v3_filter_0 @ SV396 )
        = $true )
      | ( ( v10_lattices @ SV396 )
        = $false )
      | ( ( v3_struct_0 @ SV396 )
        = $true )
      | ( ( l3_lattices @ SV396 )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10469]) ).

thf(10539,plain,
    ! [SV160: $i] :
      ( ( ( ! [SY501: $i] :
              ( ( v3_struct_0 @ SY501 )
              | ~ ( l3_lattices @ SY501 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY501 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY501 ) )
              | ~ ( v3_struct_0 @ SV160 ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10470]) ).

thf(10540,plain,
    ! [SV160: $i] :
      ( ( ( ! [SY502: $i] :
              ( ( v3_struct_0 @ SY502 )
              | ~ ( l3_lattices @ SY502 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SY502 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SY502 ) )
              | ( v10_lattices @ SV160 ) ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10471]) ).

thf(10541,plain,
    ! [SV160: $i,SV426: $i] :
      ( ( ( v3_struct_0 @ SV426 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV426 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ( l3_lattices @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10472]) ).

thf(10542,plain,
    ! [SV412: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV412 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV412 ) )
        = $true )
      | ( ( v3_struct_0 @ SV412 )
        = $true )
      | ( ( l3_lattices @ SV412 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10473]) ).

thf(10543,plain,
    ! [SV383: $i,SV160: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV383 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV383 ) )
        = $false )
      | ( ( v10_lattices @ SV383 )
        = $true )
      | ( ( v3_struct_0 @ SV383 )
        = $true )
      | ( ( l3_lattices @ SV383 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10474]) ).

thf(10544,plain,
    ! [SV161: $i,SV414: $i] :
      ( ( ( v1_filter_0 @ SV414 @ SV161 )
        = $false )
      | ( ( ( SV414
           != ( k1_filter_0 @ SV161 ) ) )
        = $true )
      | ( ( m1_filter_0 @ SV414 @ SV161 )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10475]) ).

thf(10545,plain,
    ! [SV161: $i,SV415: $i] :
      ( ( ( v1_filter_0 @ SV415 @ SV161 )
        = $false )
      | ( ( v2_filter_0 @ SV415 @ SV161 )
        = $true )
      | ( ( m1_filter_0 @ SV415 @ SV161 )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10476]) ).

thf(10546,plain,
    ! [SV162: $i,SV427: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV427 @ SV162 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SV427 ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10477]) ).

thf(10547,plain,
    ! [SV162: $i,SV428: $i] :
      ( ( ( ~ ( m1_filter_0 @ SV428 @ SV162 ) )
        = $true )
      | ( ( v10_lattices @ ( k5_filter_1 @ SV162 @ SV428 ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10478]) ).

thf(10548,plain,
    ! [SV163: $i] :
      ( ( ( v3_struct_0 @ ( sK7_B @ SV163 ) )
        = $false )
      | ( ( v2_pre_topc @ SV163 )
        = $false )
      | ( ( v3_struct_0 @ SV163 )
        = $true )
      | ( ( l1_pre_topc @ SV163 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10480]) ).

thf(10549,plain,
    ! [SV164: $i,SV432: $i] :
      ( ( ( ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 )
          | ~ ( l3_lattices @ SV432 )
          | ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 )
          | ~ ( v11_lattices @ SV432 )
          | ~ ( l3_lattices @ SV432 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10481]) ).

thf(10550,plain,
    ! [SV164: $i,SV433: $i] :
      ( ( ( ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 )
          | ~ ( l3_lattices @ SV433 )
          | ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 )
          | ~ ( v11_lattices @ SV433 )
          | ~ ( l3_lattices @ SV433 )
          | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10482]) ).

thf(10551,plain,
    ! [SV164: $i,SV419: $i] :
      ( ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 )
          | ~ ( v11_lattices @ SV419 )
          | ~ ( l3_lattices @ SV419 )
          | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10483]) ).

thf(10552,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 )
          | ~ ( v11_lattices @ SV397 )
          | ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10484]) ).

thf(10553,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                  ( ( v3_struct_0 @ SY518 )
                                  | ~ ( v10_lattices @ SY518 )
                                  | ~ ( l3_lattices @ SY518 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                  | ~ ( v3_struct_0 @ SV164 ) )
                            | ~ ! [SY519: $i] :
                                  ( ( v3_struct_0 @ SY519 )
                                  | ~ ( v10_lattices @ SY519 )
                                  | ~ ( l3_lattices @ SY519 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                  | ( v10_lattices @ SV164 ) ) )
                      | ~ ! [SY520: $i] :
                            ( ( v3_struct_0 @ SY520 )
                            | ~ ( v10_lattices @ SY520 )
                            | ~ ( l3_lattices @ SY520 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                            | ( v11_lattices @ SV164 ) ) )
                | ~ ! [SY521: $i] :
                      ( ( v3_struct_0 @ SY521 )
                      | ~ ( v10_lattices @ SY521 )
                      | ~ ( l3_lattices @ SY521 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                      | ( l3_lattices @ SV164 ) ) )
          | ~ ! [SY522: $i] :
                ( ( v3_struct_0 @ SY522 )
                | ~ ( v10_lattices @ SY522 )
                | ~ ( l3_lattices @ SY522 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                | ~ ( v3_struct_0 @ SY522 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10485]) ).

thf(10554,plain,
    ! [SV164: $i,SV434: $i] :
      ( ( ( ( v3_struct_0 @ SV434 )
          | ~ ( v10_lattices @ SV434 )
          | ~ ( l3_lattices @ SV434 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ( v10_lattices @ SV434 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10486]) ).

thf(10555,plain,
    ! [SV164: $i,SV420: $i] :
      ( ( ( v3_struct_0 @ SV420 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV420 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV420 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ( v11_lattices @ SV420 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10487]) ).

thf(10556,plain,
    ! [SV398: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $true )
      | ( ( v10_lattices @ SV398 )
        = $false )
      | ( ( v3_struct_0 @ SV398 )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10488]) ).

thf(10557,plain,
    ! [SV165: $i,SV372: $i] :
      ( ( ( v15_lattices @ SV372 )
        = $false )
      | ( ( v15_lattices @ SV165 )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV372 ) )
        = $true )
      | ( ( v10_lattices @ SV372 )
        = $false )
      | ( ( v3_struct_0 @ SV372 )
        = $true )
      | ( ( l3_lattices @ SV372 )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10489]) ).

thf(10558,plain,
    ! [SV399: $i,SV165: $i] :
      ( ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV399 ) ) )
        = $true )
      | ( ( v15_lattices @ SV165 )
        = $true )
      | ( ( v10_lattices @ SV399 )
        = $false )
      | ( ( v3_struct_0 @ SV399 )
        = $true )
      | ( ( l3_lattices @ SV399 )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10490]) ).

thf(10559,plain,
    ! [SV400: $i,SV165: $i] :
      ( ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV400 ) ) )
        = $true )
      | ( ( v15_lattices @ SV400 )
        = $true )
      | ( ( v10_lattices @ SV400 )
        = $false )
      | ( ( v3_struct_0 @ SV400 )
        = $true )
      | ( ( l3_lattices @ SV400 )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10491]) ).

thf(10560,plain,
    ! [SV168: $i,SV373: $i] :
      ( ( ( v14_lattices @ SV373 )
        = $false )
      | ( ( v14_lattices @ SV168 )
        = $false )
      | ( ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV373 ) )
        = $true )
      | ( ( v10_lattices @ SV373 )
        = $false )
      | ( ( v3_struct_0 @ SV373 )
        = $true )
      | ( ( l3_lattices @ SV373 )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10492]) ).

thf(10561,plain,
    ! [SV401: $i,SV168: $i] :
      ( ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV401 ) ) )
        = $true )
      | ( ( v14_lattices @ SV168 )
        = $true )
      | ( ( v10_lattices @ SV401 )
        = $false )
      | ( ( v3_struct_0 @ SV401 )
        = $true )
      | ( ( l3_lattices @ SV401 )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10493]) ).

thf(10562,plain,
    ! [SV402: $i,SV168: $i] :
      ( ( ( ~ ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV402 ) ) )
        = $true )
      | ( ( v14_lattices @ SV402 )
        = $true )
      | ( ( v10_lattices @ SV402 )
        = $false )
      | ( ( v3_struct_0 @ SV402 )
        = $true )
      | ( ( l3_lattices @ SV402 )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10494]) ).

thf(10563,plain,
    ! [SV384: $i,SV374: $i] :
      ( ( ( v3_struct_0 @ ( k5_filter_1 @ SV374 @ SV384 ) )
        = $false )
      | ( ( l3_lattices @ SV374 )
        = $false )
      | ( ( v3_struct_0 @ SV374 )
        = $true )
      | ( ( v10_lattices @ SV374 )
        = $false )
      | ( ( m1_filter_0 @ SV384 @ SV374 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10495]) ).

thf(10564,plain,
    ! [SV169: $i,SV376: $i] :
      ( ( ( v13_lattices @ SV376 )
        = $false )
      | ( ( v13_lattices @ SV169 )
        = $false )
      | ( ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV376 ) )
        = $true )
      | ( ( v10_lattices @ SV376 )
        = $false )
      | ( ( v3_struct_0 @ SV376 )
        = $true )
      | ( ( l3_lattices @ SV376 )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10497]) ).

thf(10565,plain,
    ! [SV403: $i,SV169: $i] :
      ( ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV403 ) ) )
        = $true )
      | ( ( v13_lattices @ SV169 )
        = $true )
      | ( ( v10_lattices @ SV403 )
        = $false )
      | ( ( v3_struct_0 @ SV403 )
        = $true )
      | ( ( l3_lattices @ SV403 )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10498]) ).

thf(10566,plain,
    ! [SV404: $i,SV169: $i] :
      ( ( ( ~ ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV404 ) ) )
        = $true )
      | ( ( v13_lattices @ SV404 )
        = $true )
      | ( ( v10_lattices @ SV404 )
        = $false )
      | ( ( v3_struct_0 @ SV404 )
        = $true )
      | ( ( l3_lattices @ SV404 )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10499]) ).

thf(10567,plain,
    ! [SV421: $i] :
      ( ( ( ( v3_struct_0 @ SV421 )
          | ~ ( v17_lattices @ SV421 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV421 ) )
        = $true )
      | ( ( l3_lattices @ SV421 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10500]) ).

thf(10568,plain,
    ! [SV422: $i] :
      ( ( ( ( v3_struct_0 @ SV422 )
          | ~ ( v17_lattices @ SV422 ) )
        = $true )
      | ( ( v11_lattices @ SV422 )
        = $true )
      | ( ( l3_lattices @ SV422 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10501]) ).

thf(10569,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY535: $i] :
                ( ( v3_struct_0 @ SY535 )
                | ~ ( v10_lattices @ SY535 )
                | ~ ( l3_lattices @ SY535 )
                | ( v3_struct_0 @ SV170 )
                | ~ ( v10_lattices @ SV170 )
                | ~ ( v15_lattices @ SV170 )
                | ~ ( v16_lattices @ SV170 )
                | ~ ( l3_lattices @ SV170 )
                | ( v3_struct_0 @ SY535 )
                | ~ ( v10_lattices @ SY535 )
                | ~ ( v15_lattices @ SY535 )
                | ~ ( v16_lattices @ SY535 )
                | ~ ( l3_lattices @ SY535 )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) )
          | ~ ! [SY536: $i] :
                ( ( v3_struct_0 @ SY536 )
                | ~ ( v10_lattices @ SY536 )
                | ~ ( l3_lattices @ SY536 )
                | ( v3_struct_0 @ SV170 )
                | ~ ( v10_lattices @ SV170 )
                | ~ ( v15_lattices @ SV170 )
                | ~ ( v16_lattices @ SV170 )
                | ~ ( l3_lattices @ SV170 )
                | ( v3_struct_0 @ SY536 )
                | ~ ( v10_lattices @ SY536 )
                | ~ ( v15_lattices @ SY536 )
                | ~ ( v16_lattices @ SY536 )
                | ~ ( l3_lattices @ SY536 )
                | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10503]) ).

thf(10570,plain,
    ! [SV170: $i,SV435: $i] :
      ( ( ( ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( l3_lattices @ SV435 )
          | ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( v15_lattices @ SV435 )
          | ~ ( v16_lattices @ SV435 )
          | ~ ( l3_lattices @ SV435 )
          | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10504]) ).

thf(10571,plain,
    ! [SV170: $i,SV423: $i] :
      ( ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( v15_lattices @ SV423 )
          | ~ ( v16_lattices @ SV423 )
          | ~ ( l3_lattices @ SV423 )
          | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10505]) ).

thf(10572,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( v15_lattices @ SV406 )
          | ~ ( v16_lattices @ SV406 )
          | ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10506]) ).

thf(10573,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                              ( ( v3_struct_0 @ SY540 )
                                              | ~ ( v10_lattices @ SY540 )
                                              | ~ ( l3_lattices @ SY540 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                              | ~ ( v3_struct_0 @ SV170 ) )
                                        | ~ ! [SY541: $i] :
                                              ( ( v3_struct_0 @ SY541 )
                                              | ~ ( v10_lattices @ SY541 )
                                              | ~ ( l3_lattices @ SY541 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                              | ( v10_lattices @ SV170 ) ) )
                                  | ~ ! [SY542: $i] :
                                        ( ( v3_struct_0 @ SY542 )
                                        | ~ ( v10_lattices @ SY542 )
                                        | ~ ( l3_lattices @ SY542 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                        | ( v15_lattices @ SV170 ) ) )
                            | ~ ! [SY543: $i] :
                                  ( ( v3_struct_0 @ SY543 )
                                  | ~ ( v10_lattices @ SY543 )
                                  | ~ ( l3_lattices @ SY543 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                  | ( v16_lattices @ SV170 ) ) )
                      | ~ ! [SY544: $i] :
                            ( ( v3_struct_0 @ SY544 )
                            | ~ ( v10_lattices @ SY544 )
                            | ~ ( l3_lattices @ SY544 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                            | ( l3_lattices @ SV170 ) ) )
                | ~ ! [SY545: $i] :
                      ( ( v3_struct_0 @ SY545 )
                      | ~ ( v10_lattices @ SY545 )
                      | ~ ( l3_lattices @ SY545 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                      | ~ ( v3_struct_0 @ SY545 ) ) )
          | ~ ! [SY546: $i] :
                ( ( v3_struct_0 @ SY546 )
                | ~ ( v10_lattices @ SY546 )
                | ~ ( l3_lattices @ SY546 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                | ( v10_lattices @ SY546 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10507]) ).

thf(10574,plain,
    ! [SV170: $i,SV436: $i] :
      ( ( ( ( v3_struct_0 @ SV436 )
          | ~ ( v10_lattices @ SV436 )
          | ~ ( l3_lattices @ SV436 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ( v15_lattices @ SV436 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10508]) ).

thf(10575,plain,
    ! [SV170: $i,SV424: $i] :
      ( ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV424 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV424 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ( v16_lattices @ SV424 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10509]) ).

thf(10576,plain,
    ! [SV407: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $true )
      | ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10510]) ).

thf(10577,plain,
    ! [SV408: $i] :
      ( ( ( ( v3_struct_0 @ SV408 )
          | ~ ( v10_lattices @ SV408 )
          | ~ ( v11_lattices @ SV408 )
          | ~ ( l3_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( l3_lattices @ SV408 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10511]) ).

thf(10578,plain,
    ! [SV409: $i] :
      ( ( ( ( v3_struct_0 @ SV409 )
          | ~ ( v10_lattices @ SV409 )
          | ~ ( v11_lattices @ SV409 )
          | ~ ( l3_lattices @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( l3_lattices @ SV409 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10512]) ).

thf(10579,plain,
    ! [SV380: $i] :
      ( ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV380 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV380 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV380 ) )
        = $true )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV380 ) )
        = $true )
      | ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( l3_lattices @ SV380 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10513]) ).

thf(10580,plain,
    ! [SV348: $i] :
      ( ( ( l3_lattices @ SV348 )
        = $false )
      | ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( v11_lattices @ SV348 )
        = $false )
      | ( ( l3_lattices @ ( k1_lattice2 @ SV348 ) )
        = $true )
      | ( ( v10_lattices @ SV348 )
        = $false )
      | ( ( v3_struct_0 @ SV348 )
        = $true )
      | ( ( l3_lattices @ SV348 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10514]) ).

thf(10581,plain,
    ! [SV410: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV410 ) )
        = $true )
      | ( ( v10_lattices @ SV410 )
        = $false )
      | ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( l3_lattices @ SV410 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10515]) ).

thf(10582,plain,
    ! [SV411: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $false )
      | ( ( v3_struct_0 @ SV411 )
        = $true )
      | ( ( l3_lattices @ SV411 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10516]) ).

thf(10583,plain,
    ! [SV381: $i] :
      ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( v11_lattices @ SV381 )
        = $true )
      | ( ( v10_lattices @ SV381 )
        = $false )
      | ( ( v3_struct_0 @ SV381 )
        = $true )
      | ( ( l3_lattices @ SV381 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10517]) ).

thf(10584,plain,
    ! [SV349: $i] :
      ( ( ( l3_lattices @ ( k1_lattice2 @ SV349 ) )
        = $false )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV349 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV349 ) )
        = $true )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV349 ) )
        = $false )
      | ( ( l3_lattices @ SV349 )
        = $true )
      | ( ( v10_lattices @ SV349 )
        = $false )
      | ( ( v3_struct_0 @ SV349 )
        = $true )
      | ( ( l3_lattices @ SV349 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10518]) ).

thf(10585,plain,
    ! [SV390: $i,SV312: $i,SV24: $i] :
      ( ( ( ~ ( r1_filter_1 @ SV24 @ SV312 ) )
        = $true )
      | ( ( ~ ( r1_filter_1 @ SV312 @ SV390 ) )
        = $true )
      | ( ( r1_filter_1 @ SV24 @ SV390 )
        = $true )
      | ( ( v10_lattices @ SV390 )
        = $false )
      | ( ( v3_struct_0 @ SV390 )
        = $true )
      | ( ( l3_lattices @ SV390 )
        = $false )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10519]) ).

thf(10586,plain,
    ! [SV391: $i,SV151: $i] :
      ( ( ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV391 ) )
        = $false )
      | ( ( v12_lattices @ SV151 )
        = $true )
      | ( ( v10_lattices @ SV391 )
        = $false )
      | ( ( v3_struct_0 @ SV391 )
        = $true )
      | ( ( l3_lattices @ SV391 )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10522]) ).

thf(10587,plain,
    ! [SV392: $i,SV151: $i] :
      ( ( ( v12_lattices @ ( k8_filter_1 @ SV151 @ SV392 ) )
        = $false )
      | ( ( v12_lattices @ SV392 )
        = $true )
      | ( ( v10_lattices @ SV392 )
        = $false )
      | ( ( v3_struct_0 @ SV392 )
        = $true )
      | ( ( l3_lattices @ SV392 )
        = $false )
      | ( ( v10_lattices @ SV151 )
        = $false )
      | ( ( v3_struct_0 @ SV151 )
        = $true )
      | ( ( l3_lattices @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10523]) ).

thf(10588,plain,
    ! [SV369: $i,SV156: $i,SV425: $i] :
      ( ( ( v3_lattice4 @ SV425 @ SV156 @ SV369 )
        = $false )
      | ( ( m1_lattice4 @ SV425 @ SV156 @ SV369 )
        = $false )
      | ( ( r1_filter_1 @ SV156 @ SV369 )
        = $true )
      | ( ( v10_lattices @ SV369 )
        = $false )
      | ( ( v3_struct_0 @ SV369 )
        = $true )
      | ( ( l3_lattices @ SV369 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10525]) ).

thf(10589,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( m1_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
        = $true )
      | ( ( r1_filter_1 @ SV156 @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV370 )
        = $false )
      | ( ( v3_struct_0 @ SV370 )
        = $true )
      | ( ( l3_lattices @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10526]) ).

thf(10590,plain,
    ! [SV156: $i,SV370: $i] :
      ( ( ( v3_lattice4 @ ( sK52_C @ SV370 @ SV156 ) @ SV156 @ SV370 )
        = $true )
      | ( ( r1_filter_1 @ SV156 @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV370 )
        = $false )
      | ( ( v3_struct_0 @ SV370 )
        = $true )
      | ( ( l3_lattices @ SV370 )
        = $false )
      | ( ( v10_lattices @ SV156 )
        = $false )
      | ( ( v3_struct_0 @ SV156 )
        = $true )
      | ( ( l3_lattices @ SV156 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10527]) ).

thf(10591,plain,
    ! [SV157: $i,SV429: $i] :
      ( ( ( ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 )
          | ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 )
          | ~ ( v17_lattices @ SV429 )
          | ~ ( l3_lattices @ SV429 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10528]) ).

thf(10592,plain,
    ! [SV157: $i,SV430: $i] :
      ( ( ( ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 )
          | ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 )
          | ~ ( v17_lattices @ SV430 )
          | ~ ( l3_lattices @ SV430 )
          | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10529]) ).

thf(10593,plain,
    ! [SV157: $i,SV417: $i] :
      ( ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 )
          | ~ ( v17_lattices @ SV417 )
          | ~ ( l3_lattices @ SV417 )
          | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10530]) ).

thf(10594,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 )
          | ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10531]) ).

thf(10595,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                  ( ( v3_struct_0 @ SY489 )
                                  | ~ ( v10_lattices @ SY489 )
                                  | ~ ( l3_lattices @ SY489 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                  | ~ ( v3_struct_0 @ SV157 ) )
                            | ~ ! [SY490: $i] :
                                  ( ( v3_struct_0 @ SY490 )
                                  | ~ ( v10_lattices @ SY490 )
                                  | ~ ( l3_lattices @ SY490 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                  | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                  | ( v10_lattices @ SV157 ) ) )
                      | ~ ! [SY491: $i] :
                            ( ( v3_struct_0 @ SY491 )
                            | ~ ( v10_lattices @ SY491 )
                            | ~ ( l3_lattices @ SY491 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                            | ( v17_lattices @ SV157 ) ) )
                | ~ ! [SY492: $i] :
                      ( ( v3_struct_0 @ SY492 )
                      | ~ ( v10_lattices @ SY492 )
                      | ~ ( l3_lattices @ SY492 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                      | ( l3_lattices @ SV157 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10532]) ).

thf(10596,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY493: $i] :
                ( ( v3_struct_0 @ SY493 )
                | ~ ( v10_lattices @ SY493 )
                | ~ ( l3_lattices @ SY493 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
                | ~ ( v3_struct_0 @ SY493 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10532]) ).

thf(10597,plain,
    ! [SV157: $i,SV431: $i] :
      ( ( ( ( v3_struct_0 @ SV431 )
          | ~ ( v10_lattices @ SV431 )
          | ~ ( l3_lattices @ SV431 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ( v10_lattices @ SV431 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10533]) ).

thf(10598,plain,
    ! [SV157: $i,SV418: $i] :
      ( ( ( v10_lattices @ SV418 )
        = $false )
      | ( ( v3_struct_0 @ SV418 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV418 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ( v17_lattices @ SV418 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10534]) ).

thf(10599,plain,
    ! [SV394: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $true )
      | ( ( v10_lattices @ SV394 )
        = $false )
      | ( ( v3_struct_0 @ SV394 )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10535]) ).

thf(10600,plain,
    ! [SV395: $i,SV158: $i] :
      ( ( ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV395 ) )
        = $false )
      | ( ( v3_filter_0 @ SV158 )
        = $true )
      | ( ( v10_lattices @ SV395 )
        = $false )
      | ( ( v3_struct_0 @ SV395 )
        = $true )
      | ( ( l3_lattices @ SV395 )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10537]) ).

thf(10601,plain,
    ! [SV396: $i,SV158: $i] :
      ( ( ( v3_filter_0 @ ( k8_filter_1 @ SV158 @ SV396 ) )
        = $false )
      | ( ( v3_filter_0 @ SV396 )
        = $true )
      | ( ( v10_lattices @ SV396 )
        = $false )
      | ( ( v3_struct_0 @ SV396 )
        = $true )
      | ( ( l3_lattices @ SV396 )
        = $false )
      | ( ( v10_lattices @ SV158 )
        = $false )
      | ( ( v3_struct_0 @ SV158 )
        = $true )
      | ( ( l3_lattices @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10538]) ).

thf(10602,plain,
    ! [SV160: $i,SV437: $i] :
      ( ( ( ( v3_struct_0 @ SV437 )
          | ~ ( l3_lattices @ SV437 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( v3_struct_0 @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10539]) ).

thf(10603,plain,
    ! [SV160: $i,SV438: $i] :
      ( ( ( ( v3_struct_0 @ SV438 )
          | ~ ( l3_lattices @ SV438 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ( v10_lattices @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10540]) ).

thf(10604,plain,
    ! [SV160: $i,SV426: $i] :
      ( ( ( l3_lattices @ SV426 )
        = $false )
      | ( ( v3_struct_0 @ SV426 )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ( l3_lattices @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10541]) ).

thf(10605,plain,
    ! [SV412: $i,SV160: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV412 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV412 ) )
        = $true )
      | ( ( v3_struct_0 @ SV412 )
        = $true )
      | ( ( l3_lattices @ SV412 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10542]) ).

thf(10606,plain,
    ! [SV161: $i,SV414: $i] :
      ( ( ( SV414
          = ( k1_filter_0 @ SV161 ) )
        = $false )
      | ( ( v1_filter_0 @ SV414 @ SV161 )
        = $false )
      | ( ( m1_filter_0 @ SV414 @ SV161 )
        = $false )
      | ( ( v17_lattices @ SV161 )
        = $false )
      | ( ( v3_struct_0 @ SV161 )
        = $true )
      | ( ( v10_lattices @ SV161 )
        = $false )
      | ( ( l3_lattices @ SV161 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10544]) ).

thf(10607,plain,
    ! [SV162: $i,SV427: $i] :
      ( ( ( m1_filter_0 @ SV427 @ SV162 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SV427 ) ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10546]) ).

thf(10608,plain,
    ! [SV162: $i,SV428: $i] :
      ( ( ( m1_filter_0 @ SV428 @ SV162 )
        = $false )
      | ( ( v10_lattices @ ( k5_filter_1 @ SV162 @ SV428 ) )
        = $true )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10547]) ).

thf(10609,plain,
    ! [SV164: $i,SV432: $i] :
      ( ( ( ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 )
          | ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 )
          | ~ ( v11_lattices @ SV432 )
          | ~ ( l3_lattices @ SV432 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10549]) ).

thf(10610,plain,
    ! [SV164: $i,SV433: $i] :
      ( ( ( ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 )
          | ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 )
          | ~ ( v11_lattices @ SV433 )
          | ~ ( l3_lattices @ SV433 )
          | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10550]) ).

thf(10611,plain,
    ! [SV164: $i,SV419: $i] :
      ( ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 )
          | ~ ( v11_lattices @ SV419 )
          | ~ ( l3_lattices @ SV419 )
          | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10551]) ).

thf(10612,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 )
          | ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10552]) ).

thf(10613,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                  ( ( v3_struct_0 @ SY518 )
                                  | ~ ( v10_lattices @ SY518 )
                                  | ~ ( l3_lattices @ SY518 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                  | ~ ( v3_struct_0 @ SV164 ) )
                            | ~ ! [SY519: $i] :
                                  ( ( v3_struct_0 @ SY519 )
                                  | ~ ( v10_lattices @ SY519 )
                                  | ~ ( l3_lattices @ SY519 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                  | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                  | ( v10_lattices @ SV164 ) ) )
                      | ~ ! [SY520: $i] :
                            ( ( v3_struct_0 @ SY520 )
                            | ~ ( v10_lattices @ SY520 )
                            | ~ ( l3_lattices @ SY520 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                            | ( v11_lattices @ SV164 ) ) )
                | ~ ! [SY521: $i] :
                      ( ( v3_struct_0 @ SY521 )
                      | ~ ( v10_lattices @ SY521 )
                      | ~ ( l3_lattices @ SY521 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                      | ( l3_lattices @ SV164 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10553]) ).

thf(10614,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY522: $i] :
                ( ( v3_struct_0 @ SY522 )
                | ~ ( v10_lattices @ SY522 )
                | ~ ( l3_lattices @ SY522 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
                | ~ ( v3_struct_0 @ SY522 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10553]) ).

thf(10615,plain,
    ! [SV164: $i,SV434: $i] :
      ( ( ( ( v3_struct_0 @ SV434 )
          | ~ ( v10_lattices @ SV434 )
          | ~ ( l3_lattices @ SV434 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ( v10_lattices @ SV434 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10554]) ).

thf(10616,plain,
    ! [SV164: $i,SV420: $i] :
      ( ( ( v10_lattices @ SV420 )
        = $false )
      | ( ( v3_struct_0 @ SV420 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV420 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ( v11_lattices @ SV420 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10555]) ).

thf(10617,plain,
    ! [SV398: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $true )
      | ( ( v10_lattices @ SV398 )
        = $false )
      | ( ( v3_struct_0 @ SV398 )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10556]) ).

thf(10618,plain,
    ! [SV399: $i,SV165: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV399 ) )
        = $false )
      | ( ( v15_lattices @ SV165 )
        = $true )
      | ( ( v10_lattices @ SV399 )
        = $false )
      | ( ( v3_struct_0 @ SV399 )
        = $true )
      | ( ( l3_lattices @ SV399 )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10558]) ).

thf(10619,plain,
    ! [SV400: $i,SV165: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV165 @ SV400 ) )
        = $false )
      | ( ( v15_lattices @ SV400 )
        = $true )
      | ( ( v10_lattices @ SV400 )
        = $false )
      | ( ( v3_struct_0 @ SV400 )
        = $true )
      | ( ( l3_lattices @ SV400 )
        = $false )
      | ( ( v10_lattices @ SV165 )
        = $false )
      | ( ( v3_struct_0 @ SV165 )
        = $true )
      | ( ( l3_lattices @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10559]) ).

thf(10620,plain,
    ! [SV401: $i,SV168: $i] :
      ( ( ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV401 ) )
        = $false )
      | ( ( v14_lattices @ SV168 )
        = $true )
      | ( ( v10_lattices @ SV401 )
        = $false )
      | ( ( v3_struct_0 @ SV401 )
        = $true )
      | ( ( l3_lattices @ SV401 )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10561]) ).

thf(10621,plain,
    ! [SV402: $i,SV168: $i] :
      ( ( ( v14_lattices @ ( k8_filter_1 @ SV168 @ SV402 ) )
        = $false )
      | ( ( v14_lattices @ SV402 )
        = $true )
      | ( ( v10_lattices @ SV402 )
        = $false )
      | ( ( v3_struct_0 @ SV402 )
        = $true )
      | ( ( l3_lattices @ SV402 )
        = $false )
      | ( ( v10_lattices @ SV168 )
        = $false )
      | ( ( v3_struct_0 @ SV168 )
        = $true )
      | ( ( l3_lattices @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10562]) ).

thf(10622,plain,
    ! [SV403: $i,SV169: $i] :
      ( ( ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV403 ) )
        = $false )
      | ( ( v13_lattices @ SV169 )
        = $true )
      | ( ( v10_lattices @ SV403 )
        = $false )
      | ( ( v3_struct_0 @ SV403 )
        = $true )
      | ( ( l3_lattices @ SV403 )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10565]) ).

thf(10623,plain,
    ! [SV404: $i,SV169: $i] :
      ( ( ( v13_lattices @ ( k8_filter_1 @ SV169 @ SV404 ) )
        = $false )
      | ( ( v13_lattices @ SV404 )
        = $true )
      | ( ( v10_lattices @ SV404 )
        = $false )
      | ( ( v3_struct_0 @ SV404 )
        = $true )
      | ( ( l3_lattices @ SV404 )
        = $false )
      | ( ( v10_lattices @ SV169 )
        = $false )
      | ( ( v3_struct_0 @ SV169 )
        = $true )
      | ( ( l3_lattices @ SV169 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10566]) ).

thf(10624,plain,
    ! [SV421: $i] :
      ( ( ( v3_struct_0 @ SV421 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV421 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV421 ) )
        = $true )
      | ( ( l3_lattices @ SV421 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10567]) ).

thf(10625,plain,
    ! [SV422: $i] :
      ( ( ( v3_struct_0 @ SV422 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV422 ) )
        = $true )
      | ( ( v11_lattices @ SV422 )
        = $true )
      | ( ( l3_lattices @ SV422 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10568]) ).

thf(10626,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY535: $i] :
                ( ( v3_struct_0 @ SY535 )
                | ~ ( v10_lattices @ SY535 )
                | ~ ( l3_lattices @ SY535 )
                | ( v3_struct_0 @ SV170 )
                | ~ ( v10_lattices @ SV170 )
                | ~ ( v15_lattices @ SV170 )
                | ~ ( v16_lattices @ SV170 )
                | ~ ( l3_lattices @ SV170 )
                | ( v3_struct_0 @ SY535 )
                | ~ ( v10_lattices @ SY535 )
                | ~ ( v15_lattices @ SY535 )
                | ~ ( v16_lattices @ SY535 )
                | ~ ( l3_lattices @ SY535 )
                | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10569]) ).

thf(10627,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY536: $i] :
                ( ( v3_struct_0 @ SY536 )
                | ~ ( v10_lattices @ SY536 )
                | ~ ( l3_lattices @ SY536 )
                | ( v3_struct_0 @ SV170 )
                | ~ ( v10_lattices @ SV170 )
                | ~ ( v15_lattices @ SV170 )
                | ~ ( v16_lattices @ SV170 )
                | ~ ( l3_lattices @ SV170 )
                | ( v3_struct_0 @ SY536 )
                | ~ ( v10_lattices @ SY536 )
                | ~ ( v15_lattices @ SY536 )
                | ~ ( v16_lattices @ SY536 )
                | ~ ( l3_lattices @ SY536 )
                | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10569]) ).

thf(10628,plain,
    ! [SV170: $i,SV435: $i] :
      ( ( ( ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( v15_lattices @ SV435 )
          | ~ ( v16_lattices @ SV435 )
          | ~ ( l3_lattices @ SV435 )
          | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10570]) ).

thf(10629,plain,
    ! [SV170: $i,SV423: $i] :
      ( ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( v15_lattices @ SV423 )
          | ~ ( v16_lattices @ SV423 )
          | ~ ( l3_lattices @ SV423 )
          | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10571]) ).

thf(10630,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( v15_lattices @ SV406 )
          | ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10572]) ).

thf(10631,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                              ( ( v3_struct_0 @ SY540 )
                                              | ~ ( v10_lattices @ SY540 )
                                              | ~ ( l3_lattices @ SY540 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                              | ~ ( v3_struct_0 @ SV170 ) )
                                        | ~ ! [SY541: $i] :
                                              ( ( v3_struct_0 @ SY541 )
                                              | ~ ( v10_lattices @ SY541 )
                                              | ~ ( l3_lattices @ SY541 )
                                              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                              | ( v10_lattices @ SV170 ) ) )
                                  | ~ ! [SY542: $i] :
                                        ( ( v3_struct_0 @ SY542 )
                                        | ~ ( v10_lattices @ SY542 )
                                        | ~ ( l3_lattices @ SY542 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                        | ( v15_lattices @ SV170 ) ) )
                            | ~ ! [SY543: $i] :
                                  ( ( v3_struct_0 @ SY543 )
                                  | ~ ( v10_lattices @ SY543 )
                                  | ~ ( l3_lattices @ SY543 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                  | ( v16_lattices @ SV170 ) ) )
                      | ~ ! [SY544: $i] :
                            ( ( v3_struct_0 @ SY544 )
                            | ~ ( v10_lattices @ SY544 )
                            | ~ ( l3_lattices @ SY544 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                            | ( l3_lattices @ SV170 ) ) )
                | ~ ! [SY545: $i] :
                      ( ( v3_struct_0 @ SY545 )
                      | ~ ( v10_lattices @ SY545 )
                      | ~ ( l3_lattices @ SY545 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                      | ~ ( v3_struct_0 @ SY545 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10573]) ).

thf(10632,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY546: $i] :
                ( ( v3_struct_0 @ SY546 )
                | ~ ( v10_lattices @ SY546 )
                | ~ ( l3_lattices @ SY546 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
                | ( v10_lattices @ SY546 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10573]) ).

thf(10633,plain,
    ! [SV170: $i,SV436: $i] :
      ( ( ( ( v3_struct_0 @ SV436 )
          | ~ ( v10_lattices @ SV436 )
          | ~ ( l3_lattices @ SV436 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ( v15_lattices @ SV436 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10574]) ).

thf(10634,plain,
    ! [SV170: $i,SV424: $i] :
      ( ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV424 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ( v16_lattices @ SV424 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10575]) ).

thf(10635,plain,
    ! [SV407: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $true )
      | ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10576]) ).

thf(10636,plain,
    ! [SV408: $i] :
      ( ( ( ( v3_struct_0 @ SV408 )
          | ~ ( v10_lattices @ SV408 )
          | ~ ( v11_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( l3_lattices @ SV408 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10577]) ).

thf(10637,plain,
    ! [SV409: $i] :
      ( ( ( ( v3_struct_0 @ SV409 )
          | ~ ( v10_lattices @ SV409 )
          | ~ ( v11_lattices @ SV409 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( l3_lattices @ SV409 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10578]) ).

thf(10638,plain,
    ! [SV380: $i] :
      ( ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV380 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV380 ) )
        = $true )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV380 ) )
        = $true )
      | ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( l3_lattices @ SV380 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10579]) ).

thf(10639,plain,
    ! [SV410: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV410 ) )
        = $true )
      | ( ( v10_lattices @ SV410 )
        = $false )
      | ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( l3_lattices @ SV410 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10581]) ).

thf(10640,plain,
    ! [SV411: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $false )
      | ( ( v3_struct_0 @ SV411 )
        = $true )
      | ( ( l3_lattices @ SV411 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10582]) ).

thf(10641,plain,
    ! [SV381: $i] :
      ( ( ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( v11_lattices @ SV381 )
        = $true )
      | ( ( v10_lattices @ SV381 )
        = $false )
      | ( ( v3_struct_0 @ SV381 )
        = $true )
      | ( ( l3_lattices @ SV381 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10583]) ).

thf(10642,plain,
    ! [SV390: $i,SV312: $i,SV24: $i] :
      ( ( ( r1_filter_1 @ SV24 @ SV312 )
        = $false )
      | ( ( ~ ( r1_filter_1 @ SV312 @ SV390 ) )
        = $true )
      | ( ( r1_filter_1 @ SV24 @ SV390 )
        = $true )
      | ( ( v10_lattices @ SV390 )
        = $false )
      | ( ( v3_struct_0 @ SV390 )
        = $true )
      | ( ( l3_lattices @ SV390 )
        = $false )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10585]) ).

thf(10643,plain,
    ! [SV157: $i,SV429: $i] :
      ( ( ( ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 )
          | ~ ( v17_lattices @ SV429 )
          | ~ ( l3_lattices @ SV429 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10591]) ).

thf(10644,plain,
    ! [SV157: $i,SV430: $i] :
      ( ( ( ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 )
          | ~ ( v17_lattices @ SV430 )
          | ~ ( l3_lattices @ SV430 )
          | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10592]) ).

thf(10645,plain,
    ! [SV157: $i,SV417: $i] :
      ( ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 )
          | ~ ( v17_lattices @ SV417 )
          | ~ ( l3_lattices @ SV417 )
          | ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10593]) ).

thf(10646,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV393 )
          | ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10594]) ).

thf(10647,plain,
    ! [SV157: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                                ( ( v3_struct_0 @ SY489 )
                                | ~ ( v10_lattices @ SY489 )
                                | ~ ( l3_lattices @ SY489 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                                | ~ ( v3_struct_0 @ SV157 ) )
                          | ~ ! [SY490: $i] :
                                ( ( v3_struct_0 @ SY490 )
                                | ~ ( v10_lattices @ SY490 )
                                | ~ ( l3_lattices @ SY490 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                                | ( v10_lattices @ SV157 ) ) )
                    | ~ ! [SY491: $i] :
                          ( ( v3_struct_0 @ SY491 )
                          | ~ ( v10_lattices @ SY491 )
                          | ~ ( l3_lattices @ SY491 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                          | ( v17_lattices @ SV157 ) ) )
              | ~ ! [SY492: $i] :
                    ( ( v3_struct_0 @ SY492 )
                    | ~ ( v10_lattices @ SY492 )
                    | ~ ( l3_lattices @ SY492 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                    | ( l3_lattices @ SV157 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10595]) ).

thf(10648,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY493: $i] :
              ( ( v3_struct_0 @ SY493 )
              | ~ ( v10_lattices @ SY493 )
              | ~ ( l3_lattices @ SY493 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY493 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY493 ) )
              | ~ ( v3_struct_0 @ SY493 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10596]) ).

thf(10649,plain,
    ! [SV157: $i,SV431: $i] :
      ( ( ( ( v3_struct_0 @ SV431 )
          | ~ ( v10_lattices @ SV431 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV431 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ( v10_lattices @ SV431 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10597]) ).

thf(10650,plain,
    ! [SV157: $i,SV418: $i] :
      ( ( ( l3_lattices @ SV418 )
        = $false )
      | ( ( v3_struct_0 @ SV418 )
        = $true )
      | ( ( v10_lattices @ SV418 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ( v17_lattices @ SV418 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10598]) ).

thf(10651,plain,
    ! [SV394: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $true )
      | ( ( v10_lattices @ SV394 )
        = $false )
      | ( ( v3_struct_0 @ SV394 )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10599]) ).

thf(10652,plain,
    ! [SV160: $i,SV437: $i] :
      ( ( ( ( v3_struct_0 @ SV437 )
          | ~ ( l3_lattices @ SV437 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( v3_struct_0 @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10602]) ).

thf(10653,plain,
    ! [SV160: $i,SV438: $i] :
      ( ( ( ( v3_struct_0 @ SV438 )
          | ~ ( l3_lattices @ SV438 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ( v10_lattices @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10603]) ).

thf(10654,plain,
    ! [SV426: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) ) )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $true )
      | ( ( v3_struct_0 @ SV426 )
        = $true )
      | ( ( l3_lattices @ SV426 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10604]) ).

thf(10655,plain,
    ! [SV412: $i,SV160: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV412 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV412 ) )
        = $true )
      | ( ( v3_struct_0 @ SV412 )
        = $true )
      | ( ( l3_lattices @ SV412 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10605]) ).

thf(10656,plain,
    ! [SV427: $i,SV162: $i] :
      ( ( ( v3_struct_0 @ ( k5_filter_1 @ SV162 @ SV427 ) )
        = $false )
      | ( ( m1_filter_0 @ SV427 @ SV162 )
        = $false )
      | ( ( v17_lattices @ SV162 )
        = $false )
      | ( ( v3_struct_0 @ SV162 )
        = $true )
      | ( ( v10_lattices @ SV162 )
        = $false )
      | ( ( l3_lattices @ SV162 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10607]) ).

thf(10657,plain,
    ! [SV164: $i,SV432: $i] :
      ( ( ( ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 )
          | ~ ( v11_lattices @ SV432 )
          | ~ ( l3_lattices @ SV432 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10609]) ).

thf(10658,plain,
    ! [SV164: $i,SV433: $i] :
      ( ( ( ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 )
          | ~ ( v11_lattices @ SV433 )
          | ~ ( l3_lattices @ SV433 )
          | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10610]) ).

thf(10659,plain,
    ! [SV164: $i,SV419: $i] :
      ( ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 )
          | ~ ( v11_lattices @ SV419 )
          | ~ ( l3_lattices @ SV419 )
          | ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10611]) ).

thf(10660,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV397 )
          | ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10612]) ).

thf(10661,plain,
    ! [SV164: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                                ( ( v3_struct_0 @ SY518 )
                                | ~ ( v10_lattices @ SY518 )
                                | ~ ( l3_lattices @ SY518 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                                | ~ ( v3_struct_0 @ SV164 ) )
                          | ~ ! [SY519: $i] :
                                ( ( v3_struct_0 @ SY519 )
                                | ~ ( v10_lattices @ SY519 )
                                | ~ ( l3_lattices @ SY519 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                                | ( v10_lattices @ SV164 ) ) )
                    | ~ ! [SY520: $i] :
                          ( ( v3_struct_0 @ SY520 )
                          | ~ ( v10_lattices @ SY520 )
                          | ~ ( l3_lattices @ SY520 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                          | ( v11_lattices @ SV164 ) ) )
              | ~ ! [SY521: $i] :
                    ( ( v3_struct_0 @ SY521 )
                    | ~ ( v10_lattices @ SY521 )
                    | ~ ( l3_lattices @ SY521 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                    | ( l3_lattices @ SV164 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10613]) ).

thf(10662,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY522: $i] :
              ( ( v3_struct_0 @ SY522 )
              | ~ ( v10_lattices @ SY522 )
              | ~ ( l3_lattices @ SY522 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY522 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY522 ) )
              | ~ ( v3_struct_0 @ SY522 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10614]) ).

thf(10663,plain,
    ! [SV164: $i,SV434: $i] :
      ( ( ( ( v3_struct_0 @ SV434 )
          | ~ ( v10_lattices @ SV434 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV434 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ( v10_lattices @ SV434 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10615]) ).

thf(10664,plain,
    ! [SV164: $i,SV420: $i] :
      ( ( ( l3_lattices @ SV420 )
        = $false )
      | ( ( v3_struct_0 @ SV420 )
        = $true )
      | ( ( v10_lattices @ SV420 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ( v11_lattices @ SV420 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10616]) ).

thf(10665,plain,
    ! [SV398: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $true )
      | ( ( v10_lattices @ SV398 )
        = $false )
      | ( ( v3_struct_0 @ SV398 )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10617]) ).

thf(10666,plain,
    ! [SV421: $i] :
      ( ( ( v17_lattices @ SV421 )
        = $false )
      | ( ( v3_struct_0 @ SV421 )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV421 ) )
        = $true )
      | ( ( l3_lattices @ SV421 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10624]) ).

thf(10667,plain,
    ! [SV422: $i] :
      ( ( ( v17_lattices @ SV422 )
        = $false )
      | ( ( v3_struct_0 @ SV422 )
        = $true )
      | ( ( v11_lattices @ SV422 )
        = $true )
      | ( ( l3_lattices @ SV422 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10625]) ).

thf(10668,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY535: $i] :
              ( ( v3_struct_0 @ SY535 )
              | ~ ( v10_lattices @ SY535 )
              | ~ ( l3_lattices @ SY535 )
              | ( v3_struct_0 @ SV170 )
              | ~ ( v10_lattices @ SV170 )
              | ~ ( v15_lattices @ SV170 )
              | ~ ( v16_lattices @ SV170 )
              | ~ ( l3_lattices @ SV170 )
              | ( v3_struct_0 @ SY535 )
              | ~ ( v10_lattices @ SY535 )
              | ~ ( v15_lattices @ SY535 )
              | ~ ( v16_lattices @ SY535 )
              | ~ ( l3_lattices @ SY535 )
              | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY535 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10626]) ).

thf(10669,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY536: $i] :
              ( ( v3_struct_0 @ SY536 )
              | ~ ( v10_lattices @ SY536 )
              | ~ ( l3_lattices @ SY536 )
              | ( v3_struct_0 @ SV170 )
              | ~ ( v10_lattices @ SV170 )
              | ~ ( v15_lattices @ SV170 )
              | ~ ( v16_lattices @ SV170 )
              | ~ ( l3_lattices @ SV170 )
              | ( v3_struct_0 @ SY536 )
              | ~ ( v10_lattices @ SY536 )
              | ~ ( v15_lattices @ SY536 )
              | ~ ( v16_lattices @ SY536 )
              | ~ ( l3_lattices @ SY536 )
              | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY536 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10627]) ).

thf(10670,plain,
    ! [SV170: $i,SV435: $i] :
      ( ( ( ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( v15_lattices @ SV435 )
          | ~ ( v16_lattices @ SV435 )
          | ~ ( l3_lattices @ SV435 )
          | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10628]) ).

thf(10671,plain,
    ! [SV170: $i,SV423: $i] :
      ( ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( v15_lattices @ SV423 )
          | ~ ( v16_lattices @ SV423 )
          | ~ ( l3_lattices @ SV423 )
          | ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10629]) ).

thf(10672,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 )
          | ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10630]) ).

thf(10673,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                            ( ( v3_struct_0 @ SY540 )
                                            | ~ ( v10_lattices @ SY540 )
                                            | ~ ( l3_lattices @ SY540 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                            | ~ ( v3_struct_0 @ SV170 ) )
                                      | ~ ! [SY541: $i] :
                                            ( ( v3_struct_0 @ SY541 )
                                            | ~ ( v10_lattices @ SY541 )
                                            | ~ ( l3_lattices @ SY541 )
                                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                            | ( v10_lattices @ SV170 ) ) )
                                | ~ ! [SY542: $i] :
                                      ( ( v3_struct_0 @ SY542 )
                                      | ~ ( v10_lattices @ SY542 )
                                      | ~ ( l3_lattices @ SY542 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                      | ( v15_lattices @ SV170 ) ) )
                          | ~ ! [SY543: $i] :
                                ( ( v3_struct_0 @ SY543 )
                                | ~ ( v10_lattices @ SY543 )
                                | ~ ( l3_lattices @ SY543 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                                | ( v16_lattices @ SV170 ) ) )
                    | ~ ! [SY544: $i] :
                          ( ( v3_struct_0 @ SY544 )
                          | ~ ( v10_lattices @ SY544 )
                          | ~ ( l3_lattices @ SY544 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                          | ( l3_lattices @ SV170 ) ) )
              | ~ ! [SY545: $i] :
                    ( ( v3_struct_0 @ SY545 )
                    | ~ ( v10_lattices @ SY545 )
                    | ~ ( l3_lattices @ SY545 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                    | ~ ( v3_struct_0 @ SY545 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10631]) ).

thf(10674,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY546: $i] :
              ( ( v3_struct_0 @ SY546 )
              | ~ ( v10_lattices @ SY546 )
              | ~ ( l3_lattices @ SY546 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY546 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY546 ) )
              | ( v10_lattices @ SY546 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10632]) ).

thf(10675,plain,
    ! [SV170: $i,SV436: $i] :
      ( ( ( ( v3_struct_0 @ SV436 )
          | ~ ( v10_lattices @ SV436 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV436 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ( v15_lattices @ SV436 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10633]) ).

thf(10676,plain,
    ! [SV170: $i,SV424: $i] :
      ( ( ( l3_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ( v16_lattices @ SV424 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10634]) ).

thf(10677,plain,
    ! [SV407: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $true )
      | ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10635]) ).

thf(10678,plain,
    ! [SV408: $i] :
      ( ( ( ( v3_struct_0 @ SV408 )
          | ~ ( v10_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( l3_lattices @ SV408 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10636]) ).

thf(10679,plain,
    ! [SV409: $i] :
      ( ( ( ( v3_struct_0 @ SV409 )
          | ~ ( v10_lattices @ SV409 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV409 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( l3_lattices @ SV409 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10637]) ).

thf(10680,plain,
    ! [SV380: $i] :
      ( ( ( v11_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV380 ) )
        = $true )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV380 ) )
        = $true )
      | ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( l3_lattices @ SV380 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10638]) ).

thf(10681,plain,
    ! [SV410: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV410 ) )
        = $true )
      | ( ( v10_lattices @ SV410 )
        = $false )
      | ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( l3_lattices @ SV410 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10639]) ).

thf(10682,plain,
    ! [SV411: $i] :
      ( ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
          | ~ ( v10_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $false )
      | ( ( v3_struct_0 @ SV411 )
        = $true )
      | ( ( l3_lattices @ SV411 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10640]) ).

thf(10683,plain,
    ! [SV381: $i] :
      ( ( ( v11_lattices @ ( k1_lattice2 @ SV381 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV381 ) ) )
        = $true )
      | ( ( v11_lattices @ SV381 )
        = $true )
      | ( ( v10_lattices @ SV381 )
        = $false )
      | ( ( v3_struct_0 @ SV381 )
        = $true )
      | ( ( l3_lattices @ SV381 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10641]) ).

thf(10684,plain,
    ! [SV24: $i,SV390: $i,SV312: $i] :
      ( ( ( r1_filter_1 @ SV312 @ SV390 )
        = $false )
      | ( ( r1_filter_1 @ SV24 @ SV312 )
        = $false )
      | ( ( r1_filter_1 @ SV24 @ SV390 )
        = $true )
      | ( ( v10_lattices @ SV390 )
        = $false )
      | ( ( v3_struct_0 @ SV390 )
        = $true )
      | ( ( l3_lattices @ SV390 )
        = $false )
      | ( ( v10_lattices @ SV312 )
        = $false )
      | ( ( v3_struct_0 @ SV312 )
        = $true )
      | ( ( l3_lattices @ SV312 )
        = $false )
      | ( ( v10_lattices @ SV24 )
        = $false )
      | ( ( v3_struct_0 @ SV24 )
        = $true )
      | ( ( l3_lattices @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10642]) ).

thf(10685,plain,
    ! [SV157: $i,SV429: $i] :
      ( ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 )
          | ~ ( v17_lattices @ SV429 )
          | ~ ( l3_lattices @ SV429 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10643]) ).

thf(10686,plain,
    ! [SV157: $i,SV430: $i] :
      ( ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 )
          | ~ ( v17_lattices @ SV430 )
          | ~ ( l3_lattices @ SV430 )
          | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10644]) ).

thf(10687,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 )
          | ~ ( v17_lattices @ SV417 )
          | ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10645]) ).

thf(10688,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV393 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10646]) ).

thf(10689,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                            ( ( v3_struct_0 @ SY489 )
                            | ~ ( v10_lattices @ SY489 )
                            | ~ ( l3_lattices @ SY489 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                            | ~ ( v3_struct_0 @ SV157 ) )
                      | ~ ! [SY490: $i] :
                            ( ( v3_struct_0 @ SY490 )
                            | ~ ( v10_lattices @ SY490 )
                            | ~ ( l3_lattices @ SY490 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                            | ( v10_lattices @ SV157 ) ) )
                | ~ ! [SY491: $i] :
                      ( ( v3_struct_0 @ SY491 )
                      | ~ ( v10_lattices @ SY491 )
                      | ~ ( l3_lattices @ SY491 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                      | ( v17_lattices @ SV157 ) ) )
          | ~ ! [SY492: $i] :
                ( ( v3_struct_0 @ SY492 )
                | ~ ( v10_lattices @ SY492 )
                | ~ ( l3_lattices @ SY492 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                | ( l3_lattices @ SV157 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10647]) ).

thf(10690,plain,
    ! [SV157: $i,SV439: $i] :
      ( ( ( ( v3_struct_0 @ SV439 )
          | ~ ( v10_lattices @ SV439 )
          | ~ ( l3_lattices @ SV439 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10648]) ).

thf(10691,plain,
    ! [SV157: $i,SV431: $i] :
      ( ( ( v3_struct_0 @ SV431 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV431 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV431 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ( v10_lattices @ SV431 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10649]) ).

thf(10692,plain,
    ! [SV418: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( v17_lattices @ SV418 )
        = $true )
      | ( ( v10_lattices @ SV418 )
        = $false )
      | ( ( v3_struct_0 @ SV418 )
        = $true )
      | ( ( l3_lattices @ SV418 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10650]) ).

thf(10693,plain,
    ! [SV394: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $true )
      | ( ( v10_lattices @ SV394 )
        = $false )
      | ( ( v3_struct_0 @ SV394 )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10651]) ).

thf(10694,plain,
    ! [SV160: $i,SV437: $i] :
      ( ( ( v3_struct_0 @ SV437 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV437 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( v3_struct_0 @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10652]) ).

thf(10695,plain,
    ! [SV160: $i,SV438: $i] :
      ( ( ( v3_struct_0 @ SV438 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV438 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ( v10_lattices @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10653]) ).

thf(10696,plain,
    ! [SV426: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV426 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) ) )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $true )
      | ( ( v3_struct_0 @ SV426 )
        = $true )
      | ( ( l3_lattices @ SV426 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10654]) ).

thf(10697,plain,
    ! [SV412: $i,SV160: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV412 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV412 ) )
        = $true )
      | ( ( v3_struct_0 @ SV412 )
        = $true )
      | ( ( l3_lattices @ SV412 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10655]) ).

thf(10698,plain,
    ! [SV164: $i,SV432: $i] :
      ( ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 )
          | ~ ( v11_lattices @ SV432 )
          | ~ ( l3_lattices @ SV432 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10657]) ).

thf(10699,plain,
    ! [SV164: $i,SV433: $i] :
      ( ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 )
          | ~ ( v11_lattices @ SV433 )
          | ~ ( l3_lattices @ SV433 )
          | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10658]) ).

thf(10700,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 )
          | ~ ( v11_lattices @ SV419 )
          | ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10659]) ).

thf(10701,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV397 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10660]) ).

thf(10702,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                            ( ( v3_struct_0 @ SY518 )
                            | ~ ( v10_lattices @ SY518 )
                            | ~ ( l3_lattices @ SY518 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                            | ~ ( v3_struct_0 @ SV164 ) )
                      | ~ ! [SY519: $i] :
                            ( ( v3_struct_0 @ SY519 )
                            | ~ ( v10_lattices @ SY519 )
                            | ~ ( l3_lattices @ SY519 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                            | ( v10_lattices @ SV164 ) ) )
                | ~ ! [SY520: $i] :
                      ( ( v3_struct_0 @ SY520 )
                      | ~ ( v10_lattices @ SY520 )
                      | ~ ( l3_lattices @ SY520 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                      | ( v11_lattices @ SV164 ) ) )
          | ~ ! [SY521: $i] :
                ( ( v3_struct_0 @ SY521 )
                | ~ ( v10_lattices @ SY521 )
                | ~ ( l3_lattices @ SY521 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                | ( l3_lattices @ SV164 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10661]) ).

thf(10703,plain,
    ! [SV164: $i,SV440: $i] :
      ( ( ( ( v3_struct_0 @ SV440 )
          | ~ ( v10_lattices @ SV440 )
          | ~ ( l3_lattices @ SV440 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10662]) ).

thf(10704,plain,
    ! [SV164: $i,SV434: $i] :
      ( ( ( v3_struct_0 @ SV434 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV434 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV434 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ( v10_lattices @ SV434 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10663]) ).

thf(10705,plain,
    ! [SV420: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( v11_lattices @ SV420 )
        = $true )
      | ( ( v10_lattices @ SV420 )
        = $false )
      | ( ( v3_struct_0 @ SV420 )
        = $true )
      | ( ( l3_lattices @ SV420 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10664]) ).

thf(10706,plain,
    ! [SV398: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $true )
      | ( ( v10_lattices @ SV398 )
        = $false )
      | ( ( v3_struct_0 @ SV398 )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10665]) ).

thf(10707,plain,
    ! [SV421: $i] :
      ( ( ( v3_struct_0 @ SV421 )
        = $false )
      | ( ( v3_struct_0 @ SV421 )
        = $true )
      | ( ( v17_lattices @ SV421 )
        = $false )
      | ( ( l3_lattices @ SV421 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10666]) ).

thf(10708,plain,
    ! [SV170: $i,SV441: $i] :
      ( ( ( ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( l3_lattices @ SV441 )
          | ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( v15_lattices @ SV441 )
          | ~ ( v16_lattices @ SV441 )
          | ~ ( l3_lattices @ SV441 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10668]) ).

thf(10709,plain,
    ! [SV170: $i,SV442: $i] :
      ( ( ( ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( l3_lattices @ SV442 )
          | ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( v15_lattices @ SV442 )
          | ~ ( v16_lattices @ SV442 )
          | ~ ( l3_lattices @ SV442 )
          | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10669]) ).

thf(10710,plain,
    ! [SV170: $i,SV435: $i] :
      ( ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( v15_lattices @ SV435 )
          | ~ ( v16_lattices @ SV435 )
          | ~ ( l3_lattices @ SV435 )
          | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10670]) ).

thf(10711,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( v15_lattices @ SV423 )
          | ~ ( v16_lattices @ SV423 )
          | ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10671]) ).

thf(10712,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 )
          | ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10672]) ).

thf(10713,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                        ( ( v3_struct_0 @ SY540 )
                                        | ~ ( v10_lattices @ SY540 )
                                        | ~ ( l3_lattices @ SY540 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                        | ~ ( v3_struct_0 @ SV170 ) )
                                  | ~ ! [SY541: $i] :
                                        ( ( v3_struct_0 @ SY541 )
                                        | ~ ( v10_lattices @ SY541 )
                                        | ~ ( l3_lattices @ SY541 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                        | ( v10_lattices @ SV170 ) ) )
                            | ~ ! [SY542: $i] :
                                  ( ( v3_struct_0 @ SY542 )
                                  | ~ ( v10_lattices @ SY542 )
                                  | ~ ( l3_lattices @ SY542 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                  | ( v15_lattices @ SV170 ) ) )
                      | ~ ! [SY543: $i] :
                            ( ( v3_struct_0 @ SY543 )
                            | ~ ( v10_lattices @ SY543 )
                            | ~ ( l3_lattices @ SY543 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                            | ( v16_lattices @ SV170 ) ) )
                | ~ ! [SY544: $i] :
                      ( ( v3_struct_0 @ SY544 )
                      | ~ ( v10_lattices @ SY544 )
                      | ~ ( l3_lattices @ SY544 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                      | ( l3_lattices @ SV170 ) ) )
          | ~ ! [SY545: $i] :
                ( ( v3_struct_0 @ SY545 )
                | ~ ( v10_lattices @ SY545 )
                | ~ ( l3_lattices @ SY545 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                | ~ ( v3_struct_0 @ SY545 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10673]) ).

thf(10714,plain,
    ! [SV170: $i,SV443: $i] :
      ( ( ( ( v3_struct_0 @ SV443 )
          | ~ ( v10_lattices @ SV443 )
          | ~ ( l3_lattices @ SV443 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ( v10_lattices @ SV443 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10674]) ).

thf(10715,plain,
    ! [SV170: $i,SV436: $i] :
      ( ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV436 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV436 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ( v15_lattices @ SV436 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10675]) ).

thf(10716,plain,
    ! [SV424: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( v16_lattices @ SV424 )
        = $true )
      | ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( l3_lattices @ SV424 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10676]) ).

thf(10717,plain,
    ! [SV407: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $true )
      | ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10677]) ).

thf(10718,plain,
    ! [SV408: $i] :
      ( ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( l3_lattices @ SV408 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10678]) ).

thf(10719,plain,
    ! [SV409: $i] :
      ( ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV409 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV409 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( l3_lattices @ SV409 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10679]) ).

thf(10720,plain,
    ! [SV380: $i] :
      ( ( ( l3_lattices @ SV380 )
        = $false )
      | ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( v11_lattices @ SV380 )
        = $false )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV380 ) )
        = $true )
      | ( ( v10_lattices @ SV380 )
        = $false )
      | ( ( v3_struct_0 @ SV380 )
        = $true )
      | ( ( l3_lattices @ SV380 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10680]) ).

thf(10721,plain,
    ! [SV410: $i] :
      ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV410 ) )
        = $true )
      | ( ( v10_lattices @ SV410 )
        = $false )
      | ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( l3_lattices @ SV410 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10681]) ).

thf(10722,plain,
    ! [SV411: $i] :
      ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $false )
      | ( ( v3_struct_0 @ SV411 )
        = $true )
      | ( ( l3_lattices @ SV411 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10682]) ).

thf(10723,plain,
    ! [SV381: $i] :
      ( ( ( l3_lattices @ ( k1_lattice2 @ SV381 ) )
        = $false )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV381 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV381 ) )
        = $true )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV381 ) )
        = $false )
      | ( ( v11_lattices @ SV381 )
        = $true )
      | ( ( v10_lattices @ SV381 )
        = $false )
      | ( ( v3_struct_0 @ SV381 )
        = $true )
      | ( ( l3_lattices @ SV381 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10683]) ).

thf(10724,plain,
    ! [SV157: $i,SV429: $i] :
      ( ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 )
          | ~ ( v17_lattices @ SV429 )
          | ~ ( l3_lattices @ SV429 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10685]) ).

thf(10725,plain,
    ! [SV157: $i,SV430: $i] :
      ( ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 )
          | ~ ( v17_lattices @ SV430 )
          | ~ ( l3_lattices @ SV430 )
          | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10686]) ).

thf(10726,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 )
          | ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10687]) ).

thf(10727,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10688]) ).

thf(10728,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY489: $i] :
                            ( ( v3_struct_0 @ SY489 )
                            | ~ ( v10_lattices @ SY489 )
                            | ~ ( l3_lattices @ SY489 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                            | ~ ( v3_struct_0 @ SV157 ) )
                      | ~ ! [SY490: $i] :
                            ( ( v3_struct_0 @ SY490 )
                            | ~ ( v10_lattices @ SY490 )
                            | ~ ( l3_lattices @ SY490 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                            | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                            | ( v10_lattices @ SV157 ) ) )
                | ~ ! [SY491: $i] :
                      ( ( v3_struct_0 @ SY491 )
                      | ~ ( v10_lattices @ SY491 )
                      | ~ ( l3_lattices @ SY491 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                      | ( v17_lattices @ SV157 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10689]) ).

thf(10729,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY492: $i] :
                ( ( v3_struct_0 @ SY492 )
                | ~ ( v10_lattices @ SY492 )
                | ~ ( l3_lattices @ SY492 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
                | ( l3_lattices @ SV157 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10689]) ).

thf(10730,plain,
    ! [SV157: $i,SV439: $i] :
      ( ( ( ( v3_struct_0 @ SV439 )
          | ~ ( v10_lattices @ SV439 )
          | ~ ( l3_lattices @ SV439 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10690]) ).

thf(10731,plain,
    ! [SV157: $i,SV431: $i] :
      ( ( ( v10_lattices @ SV431 )
        = $false )
      | ( ( v3_struct_0 @ SV431 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV431 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ( v10_lattices @ SV431 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10691]) ).

thf(10732,plain,
    ! [SV418: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( v17_lattices @ SV418 )
        = $true )
      | ( ( v10_lattices @ SV418 )
        = $false )
      | ( ( v3_struct_0 @ SV418 )
        = $true )
      | ( ( l3_lattices @ SV418 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10692]) ).

thf(10733,plain,
    ! [SV394: $i,SV157: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $true )
      | ( ( v10_lattices @ SV394 )
        = $false )
      | ( ( v3_struct_0 @ SV394 )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10693]) ).

thf(10734,plain,
    ! [SV160: $i,SV437: $i] :
      ( ( ( l3_lattices @ SV437 )
        = $false )
      | ( ( v3_struct_0 @ SV437 )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( v3_struct_0 @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10694]) ).

thf(10735,plain,
    ! [SV160: $i,SV438: $i] :
      ( ( ( l3_lattices @ SV438 )
        = $false )
      | ( ( v3_struct_0 @ SV438 )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ( v10_lattices @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10695]) ).

thf(10736,plain,
    ! [SV426: $i,SV160: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV426 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) ) )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $true )
      | ( ( v3_struct_0 @ SV426 )
        = $true )
      | ( ( l3_lattices @ SV426 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10696]) ).

thf(10737,plain,
    ! [SV160: $i,SV412: $i] :
      ( ( ( v3_struct_0 @ SV412 )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV412 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV412 ) )
        = $false )
      | ( ( v3_struct_0 @ SV412 )
        = $true )
      | ( ( l3_lattices @ SV412 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10697]) ).

thf(10738,plain,
    ! [SV164: $i,SV432: $i] :
      ( ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 )
          | ~ ( v11_lattices @ SV432 )
          | ~ ( l3_lattices @ SV432 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10698]) ).

thf(10739,plain,
    ! [SV164: $i,SV433: $i] :
      ( ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 )
          | ~ ( v11_lattices @ SV433 )
          | ~ ( l3_lattices @ SV433 )
          | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10699]) ).

thf(10740,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 )
          | ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10700]) ).

thf(10741,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10701]) ).

thf(10742,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY518: $i] :
                            ( ( v3_struct_0 @ SY518 )
                            | ~ ( v10_lattices @ SY518 )
                            | ~ ( l3_lattices @ SY518 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                            | ~ ( v3_struct_0 @ SV164 ) )
                      | ~ ! [SY519: $i] :
                            ( ( v3_struct_0 @ SY519 )
                            | ~ ( v10_lattices @ SY519 )
                            | ~ ( l3_lattices @ SY519 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                            | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                            | ( v10_lattices @ SV164 ) ) )
                | ~ ! [SY520: $i] :
                      ( ( v3_struct_0 @ SY520 )
                      | ~ ( v10_lattices @ SY520 )
                      | ~ ( l3_lattices @ SY520 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                      | ( v11_lattices @ SV164 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10702]) ).

thf(10743,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY521: $i] :
                ( ( v3_struct_0 @ SY521 )
                | ~ ( v10_lattices @ SY521 )
                | ~ ( l3_lattices @ SY521 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
                | ( l3_lattices @ SV164 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10702]) ).

thf(10744,plain,
    ! [SV164: $i,SV440: $i] :
      ( ( ( ( v3_struct_0 @ SV440 )
          | ~ ( v10_lattices @ SV440 )
          | ~ ( l3_lattices @ SV440 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10703]) ).

thf(10745,plain,
    ! [SV164: $i,SV434: $i] :
      ( ( ( v10_lattices @ SV434 )
        = $false )
      | ( ( v3_struct_0 @ SV434 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV434 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ( v10_lattices @ SV434 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10704]) ).

thf(10746,plain,
    ! [SV420: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( v11_lattices @ SV420 )
        = $true )
      | ( ( v10_lattices @ SV420 )
        = $false )
      | ( ( v3_struct_0 @ SV420 )
        = $true )
      | ( ( l3_lattices @ SV420 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10705]) ).

thf(10747,plain,
    ! [SV398: $i,SV164: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $true )
      | ( ( v10_lattices @ SV398 )
        = $false )
      | ( ( v3_struct_0 @ SV398 )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10706]) ).

thf(10748,plain,
    ! [SV170: $i,SV441: $i] :
      ( ( ( ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( v15_lattices @ SV441 )
          | ~ ( v16_lattices @ SV441 )
          | ~ ( l3_lattices @ SV441 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10708]) ).

thf(10749,plain,
    ! [SV170: $i,SV442: $i] :
      ( ( ( ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( v15_lattices @ SV442 )
          | ~ ( v16_lattices @ SV442 )
          | ~ ( l3_lattices @ SV442 )
          | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10709]) ).

thf(10750,plain,
    ! [SV170: $i,SV435: $i] :
      ( ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( v15_lattices @ SV435 )
          | ~ ( v16_lattices @ SV435 )
          | ~ ( l3_lattices @ SV435 )
          | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10710]) ).

thf(10751,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( v15_lattices @ SV423 )
          | ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10711]) ).

thf(10752,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV406 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10712]) ).

thf(10753,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                        ( ( v3_struct_0 @ SY540 )
                                        | ~ ( v10_lattices @ SY540 )
                                        | ~ ( l3_lattices @ SY540 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                        | ~ ( v3_struct_0 @ SV170 ) )
                                  | ~ ! [SY541: $i] :
                                        ( ( v3_struct_0 @ SY541 )
                                        | ~ ( v10_lattices @ SY541 )
                                        | ~ ( l3_lattices @ SY541 )
                                        | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                        | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                        | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                        | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                        | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                        | ( v10_lattices @ SV170 ) ) )
                            | ~ ! [SY542: $i] :
                                  ( ( v3_struct_0 @ SY542 )
                                  | ~ ( v10_lattices @ SY542 )
                                  | ~ ( l3_lattices @ SY542 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                  | ( v15_lattices @ SV170 ) ) )
                      | ~ ! [SY543: $i] :
                            ( ( v3_struct_0 @ SY543 )
                            | ~ ( v10_lattices @ SY543 )
                            | ~ ( l3_lattices @ SY543 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                            | ( v16_lattices @ SV170 ) ) )
                | ~ ! [SY544: $i] :
                      ( ( v3_struct_0 @ SY544 )
                      | ~ ( v10_lattices @ SY544 )
                      | ~ ( l3_lattices @ SY544 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                      | ( l3_lattices @ SV170 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10713]) ).

thf(10754,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY545: $i] :
                ( ( v3_struct_0 @ SY545 )
                | ~ ( v10_lattices @ SY545 )
                | ~ ( l3_lattices @ SY545 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
                | ~ ( v3_struct_0 @ SY545 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10713]) ).

thf(10755,plain,
    ! [SV170: $i,SV443: $i] :
      ( ( ( ( v3_struct_0 @ SV443 )
          | ~ ( v10_lattices @ SV443 )
          | ~ ( l3_lattices @ SV443 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ( v10_lattices @ SV443 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10714]) ).

thf(10756,plain,
    ! [SV170: $i,SV436: $i] :
      ( ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV436 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ( v15_lattices @ SV436 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10715]) ).

thf(10757,plain,
    ! [SV424: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( v16_lattices @ SV424 )
        = $true )
      | ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( l3_lattices @ SV424 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10716]) ).

thf(10758,plain,
    ! [SV407: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $true )
      | ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10717]) ).

thf(10759,plain,
    ! [SV408: $i] :
      ( ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( l3_lattices @ SV408 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10718]) ).

thf(10760,plain,
    ! [SV409: $i] :
      ( ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV409 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( l3_lattices @ SV409 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10719]) ).

thf(10761,plain,
    ! [SV410: $i] :
      ( ( ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV410 ) )
        = $true )
      | ( ( v10_lattices @ SV410 )
        = $false )
      | ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( l3_lattices @ SV410 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10721]) ).

thf(10762,plain,
    ! [SV411: $i] :
      ( ( ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $false )
      | ( ( v3_struct_0 @ SV411 )
        = $true )
      | ( ( l3_lattices @ SV411 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10722]) ).

thf(10763,plain,
    ! [SV157: $i,SV429: $i] :
      ( ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 )
          | ~ ( v17_lattices @ SV429 )
          | ~ ( l3_lattices @ SV429 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10724]) ).

thf(10764,plain,
    ! [SV157: $i,SV430: $i] :
      ( ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 )
          | ~ ( v17_lattices @ SV430 )
          | ~ ( l3_lattices @ SV430 )
          | ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10725]) ).

thf(10765,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV417 )
          | ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10726]) ).

thf(10766,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10727]) ).

thf(10767,plain,
    ! [SV157: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ! [SY489: $i] :
                          ( ( v3_struct_0 @ SY489 )
                          | ~ ( v10_lattices @ SY489 )
                          | ~ ( l3_lattices @ SY489 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                          | ~ ( v3_struct_0 @ SV157 ) )
                    | ~ ! [SY490: $i] :
                          ( ( v3_struct_0 @ SY490 )
                          | ~ ( v10_lattices @ SY490 )
                          | ~ ( l3_lattices @ SY490 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                          | ( v10_lattices @ SV157 ) ) )
              | ~ ! [SY491: $i] :
                    ( ( v3_struct_0 @ SY491 )
                    | ~ ( v10_lattices @ SY491 )
                    | ~ ( l3_lattices @ SY491 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                    | ( v17_lattices @ SV157 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10728]) ).

thf(10768,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY492: $i] :
              ( ( v3_struct_0 @ SY492 )
              | ~ ( v10_lattices @ SY492 )
              | ~ ( l3_lattices @ SY492 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY492 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY492 ) )
              | ( l3_lattices @ SV157 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10729]) ).

thf(10769,plain,
    ! [SV157: $i,SV439: $i] :
      ( ( ( ( v3_struct_0 @ SV439 )
          | ~ ( v10_lattices @ SV439 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV439 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10730]) ).

thf(10770,plain,
    ! [SV157: $i,SV431: $i] :
      ( ( ( l3_lattices @ SV431 )
        = $false )
      | ( ( v3_struct_0 @ SV431 )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ( v10_lattices @ SV431 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10731]) ).

thf(10771,plain,
    ! [SV418: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( v17_lattices @ SV418 )
        = $true )
      | ( ( v10_lattices @ SV418 )
        = $false )
      | ( ( v3_struct_0 @ SV418 )
        = $true )
      | ( ( l3_lattices @ SV418 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10732]) ).

thf(10772,plain,
    ! [SV394: $i,SV157: $i] :
      ( ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) ) )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $true )
      | ( ( v10_lattices @ SV394 )
        = $false )
      | ( ( v3_struct_0 @ SV394 )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10733]) ).

thf(10773,plain,
    ! [SV437: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV437 )
        = $true )
      | ( ( l3_lattices @ SV437 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10734]) ).

thf(10774,plain,
    ! [SV438: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) ) )
        = $true )
      | ( ( v10_lattices @ SV160 )
        = $true )
      | ( ( v3_struct_0 @ SV438 )
        = $true )
      | ( ( l3_lattices @ SV438 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10735]) ).

thf(10775,plain,
    ! [SV426: $i,SV160: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV426 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) ) )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $true )
      | ( ( v3_struct_0 @ SV426 )
        = $true )
      | ( ( l3_lattices @ SV426 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10736]) ).

thf(10776,plain,
    ! [SV164: $i,SV432: $i] :
      ( ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 )
          | ~ ( v11_lattices @ SV432 )
          | ~ ( l3_lattices @ SV432 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10738]) ).

thf(10777,plain,
    ! [SV164: $i,SV433: $i] :
      ( ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 )
          | ~ ( v11_lattices @ SV433 )
          | ~ ( l3_lattices @ SV433 )
          | ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10739]) ).

thf(10778,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV419 )
          | ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10740]) ).

thf(10779,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10741]) ).

thf(10780,plain,
    ! [SV164: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ! [SY518: $i] :
                          ( ( v3_struct_0 @ SY518 )
                          | ~ ( v10_lattices @ SY518 )
                          | ~ ( l3_lattices @ SY518 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                          | ~ ( v3_struct_0 @ SV164 ) )
                    | ~ ! [SY519: $i] :
                          ( ( v3_struct_0 @ SY519 )
                          | ~ ( v10_lattices @ SY519 )
                          | ~ ( l3_lattices @ SY519 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                          | ( v10_lattices @ SV164 ) ) )
              | ~ ! [SY520: $i] :
                    ( ( v3_struct_0 @ SY520 )
                    | ~ ( v10_lattices @ SY520 )
                    | ~ ( l3_lattices @ SY520 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                    | ( v11_lattices @ SV164 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10742]) ).

thf(10781,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY521: $i] :
              ( ( v3_struct_0 @ SY521 )
              | ~ ( v10_lattices @ SY521 )
              | ~ ( l3_lattices @ SY521 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY521 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY521 ) )
              | ( l3_lattices @ SV164 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10743]) ).

thf(10782,plain,
    ! [SV164: $i,SV440: $i] :
      ( ( ( ( v3_struct_0 @ SV440 )
          | ~ ( v10_lattices @ SV440 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV440 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10744]) ).

thf(10783,plain,
    ! [SV164: $i,SV434: $i] :
      ( ( ( l3_lattices @ SV434 )
        = $false )
      | ( ( v3_struct_0 @ SV434 )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ( v10_lattices @ SV434 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10745]) ).

thf(10784,plain,
    ! [SV420: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( v11_lattices @ SV420 )
        = $true )
      | ( ( v10_lattices @ SV420 )
        = $false )
      | ( ( v3_struct_0 @ SV420 )
        = $true )
      | ( ( l3_lattices @ SV420 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10746]) ).

thf(10785,plain,
    ! [SV398: $i,SV164: $i] :
      ( ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) ) )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $true )
      | ( ( v10_lattices @ SV398 )
        = $false )
      | ( ( v3_struct_0 @ SV398 )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10747]) ).

thf(10786,plain,
    ! [SV170: $i,SV441: $i] :
      ( ( ( ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( v15_lattices @ SV441 )
          | ~ ( v16_lattices @ SV441 )
          | ~ ( l3_lattices @ SV441 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10748]) ).

thf(10787,plain,
    ! [SV170: $i,SV442: $i] :
      ( ( ( ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( v15_lattices @ SV442 )
          | ~ ( v16_lattices @ SV442 )
          | ~ ( l3_lattices @ SV442 )
          | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10749]) ).

thf(10788,plain,
    ! [SV170: $i,SV435: $i] :
      ( ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( v15_lattices @ SV435 )
          | ~ ( v16_lattices @ SV435 )
          | ~ ( l3_lattices @ SV435 )
          | ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10750]) ).

thf(10789,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 )
          | ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10751]) ).

thf(10790,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10752]) ).

thf(10791,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                      ( ( v3_struct_0 @ SY540 )
                                      | ~ ( v10_lattices @ SY540 )
                                      | ~ ( l3_lattices @ SY540 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                      | ~ ( v3_struct_0 @ SV170 ) )
                                | ~ ! [SY541: $i] :
                                      ( ( v3_struct_0 @ SY541 )
                                      | ~ ( v10_lattices @ SY541 )
                                      | ~ ( l3_lattices @ SY541 )
                                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                      | ( v10_lattices @ SV170 ) ) )
                          | ~ ! [SY542: $i] :
                                ( ( v3_struct_0 @ SY542 )
                                | ~ ( v10_lattices @ SY542 )
                                | ~ ( l3_lattices @ SY542 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                                | ( v15_lattices @ SV170 ) ) )
                    | ~ ! [SY543: $i] :
                          ( ( v3_struct_0 @ SY543 )
                          | ~ ( v10_lattices @ SY543 )
                          | ~ ( l3_lattices @ SY543 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                          | ( v16_lattices @ SV170 ) ) )
              | ~ ! [SY544: $i] :
                    ( ( v3_struct_0 @ SY544 )
                    | ~ ( v10_lattices @ SY544 )
                    | ~ ( l3_lattices @ SY544 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                    | ( l3_lattices @ SV170 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10753]) ).

thf(10792,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY545: $i] :
              ( ( v3_struct_0 @ SY545 )
              | ~ ( v10_lattices @ SY545 )
              | ~ ( l3_lattices @ SY545 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY545 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY545 ) )
              | ~ ( v3_struct_0 @ SY545 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10754]) ).

thf(10793,plain,
    ! [SV170: $i,SV443: $i] :
      ( ( ( ( v3_struct_0 @ SV443 )
          | ~ ( v10_lattices @ SV443 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV443 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ( v10_lattices @ SV443 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10755]) ).

thf(10794,plain,
    ! [SV170: $i,SV436: $i] :
      ( ( ( l3_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ( v15_lattices @ SV436 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10756]) ).

thf(10795,plain,
    ! [SV424: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( v16_lattices @ SV424 )
        = $true )
      | ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( l3_lattices @ SV424 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10757]) ).

thf(10796,plain,
    ! [SV407: $i,SV170: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $true )
      | ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10758]) ).

thf(10797,plain,
    ! [SV408: $i] :
      ( ( ( v11_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV408 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( l3_lattices @ SV408 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10759]) ).

thf(10798,plain,
    ! [SV409: $i] :
      ( ( ( v11_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( l3_lattices @ SV409 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10760]) ).

thf(10799,plain,
    ! [SV410: $i] :
      ( ( ( v11_lattices @ ( k1_lattice2 @ SV410 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV410 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV410 ) )
        = $true )
      | ( ( v10_lattices @ SV410 )
        = $false )
      | ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( l3_lattices @ SV410 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10761]) ).

thf(10800,plain,
    ! [SV411: $i] :
      ( ( ( v11_lattices @ ( k1_lattice2 @ SV411 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k1_lattice2 @ SV411 ) ) )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $false )
      | ( ( v3_struct_0 @ SV411 )
        = $true )
      | ( ( l3_lattices @ SV411 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10762]) ).

thf(10801,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 )
          | ~ ( v17_lattices @ SV429 )
          | ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10763]) ).

thf(10802,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 )
          | ~ ( v17_lattices @ SV430 )
          | ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10764]) ).

thf(10803,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV417 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10765]) ).

thf(10804,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10766]) ).

thf(10805,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ! [SY489: $i] :
                      ( ( v3_struct_0 @ SY489 )
                      | ~ ( v10_lattices @ SY489 )
                      | ~ ( l3_lattices @ SY489 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                      | ~ ( v3_struct_0 @ SV157 ) )
                | ~ ! [SY490: $i] :
                      ( ( v3_struct_0 @ SY490 )
                      | ~ ( v10_lattices @ SY490 )
                      | ~ ( l3_lattices @ SY490 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                      | ( v10_lattices @ SV157 ) ) )
          | ~ ! [SY491: $i] :
                ( ( v3_struct_0 @ SY491 )
                | ~ ( v10_lattices @ SY491 )
                | ~ ( l3_lattices @ SY491 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                | ( v17_lattices @ SV157 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10767]) ).

thf(10806,plain,
    ! [SV157: $i,SV444: $i] :
      ( ( ( ( v3_struct_0 @ SV444 )
          | ~ ( v10_lattices @ SV444 )
          | ~ ( l3_lattices @ SV444 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10768]) ).

thf(10807,plain,
    ! [SV157: $i,SV439: $i] :
      ( ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV439 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV439 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10769]) ).

thf(10808,plain,
    ! [SV431: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $false )
      | ( ( v3_struct_0 @ SV431 )
        = $true )
      | ( ( l3_lattices @ SV431 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10770]) ).

thf(10809,plain,
    ! [SV418: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( v17_lattices @ SV418 )
        = $true )
      | ( ( v10_lattices @ SV418 )
        = $false )
      | ( ( v3_struct_0 @ SV418 )
        = $true )
      | ( ( l3_lattices @ SV418 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10771]) ).

thf(10810,plain,
    ! [SV394: $i,SV157: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV394 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV394 ) )
        = $false )
      | ( ( l3_lattices @ SV394 )
        = $true )
      | ( ( v10_lattices @ SV394 )
        = $false )
      | ( ( v3_struct_0 @ SV394 )
        = $true )
      | ( ( l3_lattices @ SV394 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10772]) ).

thf(10811,plain,
    ! [SV437: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV437 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV437 )
        = $true )
      | ( ( l3_lattices @ SV437 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10773]) ).

thf(10812,plain,
    ! [SV438: $i,SV160: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV438 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) ) )
        = $true )
      | ( ( v10_lattices @ SV160 )
        = $true )
      | ( ( v3_struct_0 @ SV438 )
        = $true )
      | ( ( l3_lattices @ SV438 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10774]) ).

thf(10813,plain,
    ! [SV426: $i,SV160: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV426 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV426 ) )
        = $false )
      | ( ( l3_lattices @ SV160 )
        = $true )
      | ( ( v3_struct_0 @ SV426 )
        = $true )
      | ( ( l3_lattices @ SV426 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10775]) ).

thf(10814,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 )
          | ~ ( v11_lattices @ SV432 )
          | ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10776]) ).

thf(10815,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 )
          | ~ ( v11_lattices @ SV433 )
          | ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10777]) ).

thf(10816,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV419 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10778]) ).

thf(10817,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10779]) ).

thf(10818,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ! [SY518: $i] :
                      ( ( v3_struct_0 @ SY518 )
                      | ~ ( v10_lattices @ SY518 )
                      | ~ ( l3_lattices @ SY518 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                      | ~ ( v3_struct_0 @ SV164 ) )
                | ~ ! [SY519: $i] :
                      ( ( v3_struct_0 @ SY519 )
                      | ~ ( v10_lattices @ SY519 )
                      | ~ ( l3_lattices @ SY519 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                      | ( v10_lattices @ SV164 ) ) )
          | ~ ! [SY520: $i] :
                ( ( v3_struct_0 @ SY520 )
                | ~ ( v10_lattices @ SY520 )
                | ~ ( l3_lattices @ SY520 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                | ( v11_lattices @ SV164 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10780]) ).

thf(10819,plain,
    ! [SV164: $i,SV445: $i] :
      ( ( ( ( v3_struct_0 @ SV445 )
          | ~ ( v10_lattices @ SV445 )
          | ~ ( l3_lattices @ SV445 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10781]) ).

thf(10820,plain,
    ! [SV164: $i,SV440: $i] :
      ( ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV440 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV440 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10782]) ).

thf(10821,plain,
    ! [SV434: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $false )
      | ( ( v3_struct_0 @ SV434 )
        = $true )
      | ( ( l3_lattices @ SV434 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10783]) ).

thf(10822,plain,
    ! [SV420: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( v11_lattices @ SV420 )
        = $true )
      | ( ( v10_lattices @ SV420 )
        = $false )
      | ( ( v3_struct_0 @ SV420 )
        = $true )
      | ( ( l3_lattices @ SV420 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10784]) ).

thf(10823,plain,
    ! [SV398: $i,SV164: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV398 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV398 ) )
        = $false )
      | ( ( l3_lattices @ SV398 )
        = $true )
      | ( ( v10_lattices @ SV398 )
        = $false )
      | ( ( v3_struct_0 @ SV398 )
        = $true )
      | ( ( l3_lattices @ SV398 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10785]) ).

thf(10824,plain,
    ! [SV170: $i,SV441: $i] :
      ( ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( v15_lattices @ SV441 )
          | ~ ( v16_lattices @ SV441 )
          | ~ ( l3_lattices @ SV441 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10786]) ).

thf(10825,plain,
    ! [SV170: $i,SV442: $i] :
      ( ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( v15_lattices @ SV442 )
          | ~ ( v16_lattices @ SV442 )
          | ~ ( l3_lattices @ SV442 )
          | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10787]) ).

thf(10826,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( v15_lattices @ SV435 )
          | ~ ( v16_lattices @ SV435 )
          | ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10788]) ).

thf(10827,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 )
          | ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10789]) ).

thf(10828,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10790]) ).

thf(10829,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                  ( ( v3_struct_0 @ SY540 )
                                  | ~ ( v10_lattices @ SY540 )
                                  | ~ ( l3_lattices @ SY540 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                  | ~ ( v3_struct_0 @ SV170 ) )
                            | ~ ! [SY541: $i] :
                                  ( ( v3_struct_0 @ SY541 )
                                  | ~ ( v10_lattices @ SY541 )
                                  | ~ ( l3_lattices @ SY541 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                  | ( v10_lattices @ SV170 ) ) )
                      | ~ ! [SY542: $i] :
                            ( ( v3_struct_0 @ SY542 )
                            | ~ ( v10_lattices @ SY542 )
                            | ~ ( l3_lattices @ SY542 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                            | ( v15_lattices @ SV170 ) ) )
                | ~ ! [SY543: $i] :
                      ( ( v3_struct_0 @ SY543 )
                      | ~ ( v10_lattices @ SY543 )
                      | ~ ( l3_lattices @ SY543 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                      | ( v16_lattices @ SV170 ) ) )
          | ~ ! [SY544: $i] :
                ( ( v3_struct_0 @ SY544 )
                | ~ ( v10_lattices @ SY544 )
                | ~ ( l3_lattices @ SY544 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                | ( l3_lattices @ SV170 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10791]) ).

thf(10830,plain,
    ! [SV170: $i,SV446: $i] :
      ( ( ( ( v3_struct_0 @ SV446 )
          | ~ ( v10_lattices @ SV446 )
          | ~ ( l3_lattices @ SV446 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10792]) ).

thf(10831,plain,
    ! [SV170: $i,SV443: $i] :
      ( ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV443 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV443 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ( v10_lattices @ SV443 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10793]) ).

thf(10832,plain,
    ! [SV436: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( v15_lattices @ SV436 )
        = $true )
      | ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( l3_lattices @ SV436 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10794]) ).

thf(10833,plain,
    ! [SV424: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( v16_lattices @ SV424 )
        = $true )
      | ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( l3_lattices @ SV424 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10795]) ).

thf(10834,plain,
    ! [SV407: $i,SV170: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $false )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $true )
      | ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10796]) ).

thf(10835,plain,
    ! [SV408: $i] :
      ( ( ( l3_lattices @ SV408 )
        = $false )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( v11_lattices @ SV408 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) ) )
        = $true )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( l3_lattices @ SV408 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10797]) ).

thf(10836,plain,
    ! [SV409: $i] :
      ( ( ( l3_lattices @ SV409 )
        = $false )
      | ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( v11_lattices @ SV409 )
        = $false )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV409 ) )
        = $true )
      | ( ( v10_lattices @ SV409 )
        = $false )
      | ( ( v3_struct_0 @ SV409 )
        = $true )
      | ( ( l3_lattices @ SV409 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10798]) ).

thf(10837,plain,
    ! [SV410: $i] :
      ( ( ( l3_lattices @ ( k1_lattice2 @ SV410 ) )
        = $false )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
        = $true )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV410 ) )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV410 ) )
        = $true )
      | ( ( v10_lattices @ SV410 )
        = $false )
      | ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( l3_lattices @ SV410 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10799]) ).

thf(10838,plain,
    ! [SV411: $i] :
      ( ( ( l3_lattices @ ( k1_lattice2 @ SV411 ) )
        = $false )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV411 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV411 ) )
        = $true )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV411 ) )
        = $false )
      | ( ( v10_lattices @ SV411 )
        = $true )
      | ( ( v10_lattices @ SV411 )
        = $false )
      | ( ( v3_struct_0 @ SV411 )
        = $true )
      | ( ( l3_lattices @ SV411 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10800]) ).

thf(10839,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 )
          | ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10801]) ).

thf(10840,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 )
          | ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10802]) ).

thf(10841,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10803]) ).

thf(10842,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10804]) ).

thf(10843,plain,
    ! [SV157: $i] :
      ( ( ( ~ ~ ( ~ ! [SY489: $i] :
                      ( ( v3_struct_0 @ SY489 )
                      | ~ ( v10_lattices @ SY489 )
                      | ~ ( l3_lattices @ SY489 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                      | ~ ( v3_struct_0 @ SV157 ) )
                | ~ ! [SY490: $i] :
                      ( ( v3_struct_0 @ SY490 )
                      | ~ ( v10_lattices @ SY490 )
                      | ~ ( l3_lattices @ SY490 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                      | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                      | ( v10_lattices @ SV157 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10805]) ).

thf(10844,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY491: $i] :
                ( ( v3_struct_0 @ SY491 )
                | ~ ( v10_lattices @ SY491 )
                | ~ ( l3_lattices @ SY491 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
                | ( v17_lattices @ SV157 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10805]) ).

thf(10845,plain,
    ! [SV157: $i,SV444: $i] :
      ( ( ( ( v3_struct_0 @ SV444 )
          | ~ ( v10_lattices @ SV444 )
          | ~ ( l3_lattices @ SV444 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10806]) ).

thf(10846,plain,
    ! [SV157: $i,SV439: $i] :
      ( ( ( v10_lattices @ SV439 )
        = $false )
      | ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV439 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10807]) ).

thf(10847,plain,
    ! [SV431: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $false )
      | ( ( v3_struct_0 @ SV431 )
        = $true )
      | ( ( l3_lattices @ SV431 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10808]) ).

thf(10848,plain,
    ! [SV418: $i,SV157: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( v17_lattices @ SV418 )
        = $true )
      | ( ( v10_lattices @ SV418 )
        = $false )
      | ( ( v3_struct_0 @ SV418 )
        = $true )
      | ( ( l3_lattices @ SV418 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10809]) ).

thf(10849,plain,
    ! [SV437: $i,SV160: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV437 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV437 )
        = $true )
      | ( ( l3_lattices @ SV437 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10811]) ).

thf(10850,plain,
    ! [SV438: $i,SV160: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV438 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) ) )
        = $true )
      | ( ( v10_lattices @ SV160 )
        = $true )
      | ( ( v3_struct_0 @ SV438 )
        = $true )
      | ( ( l3_lattices @ SV438 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10812]) ).

thf(10851,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 )
          | ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10814]) ).

thf(10852,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 )
          | ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10815]) ).

thf(10853,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10816]) ).

thf(10854,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10817]) ).

thf(10855,plain,
    ! [SV164: $i] :
      ( ( ( ~ ~ ( ~ ! [SY518: $i] :
                      ( ( v3_struct_0 @ SY518 )
                      | ~ ( v10_lattices @ SY518 )
                      | ~ ( l3_lattices @ SY518 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                      | ~ ( v3_struct_0 @ SV164 ) )
                | ~ ! [SY519: $i] :
                      ( ( v3_struct_0 @ SY519 )
                      | ~ ( v10_lattices @ SY519 )
                      | ~ ( l3_lattices @ SY519 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                      | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                      | ( v10_lattices @ SV164 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10818]) ).

thf(10856,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY520: $i] :
                ( ( v3_struct_0 @ SY520 )
                | ~ ( v10_lattices @ SY520 )
                | ~ ( l3_lattices @ SY520 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
                | ( v11_lattices @ SV164 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10818]) ).

thf(10857,plain,
    ! [SV164: $i,SV445: $i] :
      ( ( ( ( v3_struct_0 @ SV445 )
          | ~ ( v10_lattices @ SV445 )
          | ~ ( l3_lattices @ SV445 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10819]) ).

thf(10858,plain,
    ! [SV164: $i,SV440: $i] :
      ( ( ( v10_lattices @ SV440 )
        = $false )
      | ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV440 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10820]) ).

thf(10859,plain,
    ! [SV434: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $false )
      | ( ( v3_struct_0 @ SV434 )
        = $true )
      | ( ( l3_lattices @ SV434 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10821]) ).

thf(10860,plain,
    ! [SV420: $i,SV164: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( v11_lattices @ SV420 )
        = $true )
      | ( ( v10_lattices @ SV420 )
        = $false )
      | ( ( v3_struct_0 @ SV420 )
        = $true )
      | ( ( l3_lattices @ SV420 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10822]) ).

thf(10861,plain,
    ! [SV170: $i,SV441: $i] :
      ( ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( v15_lattices @ SV441 )
          | ~ ( v16_lattices @ SV441 )
          | ~ ( l3_lattices @ SV441 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10824]) ).

thf(10862,plain,
    ! [SV170: $i,SV442: $i] :
      ( ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( v15_lattices @ SV442 )
          | ~ ( v16_lattices @ SV442 )
          | ~ ( l3_lattices @ SV442 )
          | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10825]) ).

thf(10863,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( v15_lattices @ SV435 )
          | ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10826]) ).

thf(10864,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV423 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10827]) ).

thf(10865,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10828]) ).

thf(10866,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                  ( ( v3_struct_0 @ SY540 )
                                  | ~ ( v10_lattices @ SY540 )
                                  | ~ ( l3_lattices @ SY540 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                  | ~ ( v3_struct_0 @ SV170 ) )
                            | ~ ! [SY541: $i] :
                                  ( ( v3_struct_0 @ SY541 )
                                  | ~ ( v10_lattices @ SY541 )
                                  | ~ ( l3_lattices @ SY541 )
                                  | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                  | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                  | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                  | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                  | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                  | ( v10_lattices @ SV170 ) ) )
                      | ~ ! [SY542: $i] :
                            ( ( v3_struct_0 @ SY542 )
                            | ~ ( v10_lattices @ SY542 )
                            | ~ ( l3_lattices @ SY542 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                            | ( v15_lattices @ SV170 ) ) )
                | ~ ! [SY543: $i] :
                      ( ( v3_struct_0 @ SY543 )
                      | ~ ( v10_lattices @ SY543 )
                      | ~ ( l3_lattices @ SY543 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                      | ( v16_lattices @ SV170 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10829]) ).

thf(10867,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY544: $i] :
                ( ( v3_struct_0 @ SY544 )
                | ~ ( v10_lattices @ SY544 )
                | ~ ( l3_lattices @ SY544 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
                | ( l3_lattices @ SV170 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10829]) ).

thf(10868,plain,
    ! [SV170: $i,SV446: $i] :
      ( ( ( ( v3_struct_0 @ SV446 )
          | ~ ( v10_lattices @ SV446 )
          | ~ ( l3_lattices @ SV446 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10830]) ).

thf(10869,plain,
    ! [SV170: $i,SV443: $i] :
      ( ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV443 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ( v10_lattices @ SV443 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10831]) ).

thf(10870,plain,
    ! [SV436: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( v15_lattices @ SV436 )
        = $true )
      | ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( l3_lattices @ SV436 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10832]) ).

thf(10871,plain,
    ! [SV424: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( v16_lattices @ SV424 )
        = $true )
      | ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( l3_lattices @ SV424 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10833]) ).

thf(10872,plain,
    ! [SV407: $i,SV170: $i] :
      ( ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) ) )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $true )
      | ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10834]) ).

thf(10873,plain,
    ! [SV408: $i] :
      ( ( ( v3_struct_0 @ ( k1_lattice2 @ SV408 ) )
        = $false )
      | ( ( v11_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( l3_lattices @ SV408 )
        = $false )
      | ( ( v10_lattices @ SV408 )
        = $false )
      | ( ( v3_struct_0 @ SV408 )
        = $true )
      | ( ( l3_lattices @ SV408 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10835]) ).

thf(10874,plain,
    ! [SV410: $i] :
      ( ( ( v3_struct_0 @ SV410 )
        = $false )
      | ( ( v11_lattices @ ( k1_lattice2 @ SV410 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k1_lattice2 @ SV410 ) )
        = $true )
      | ( ( v10_lattices @ ( k1_lattice2 @ SV410 ) )
        = $false )
      | ( ( l3_lattices @ ( k1_lattice2 @ SV410 ) )
        = $false )
      | ( ( v10_lattices @ SV410 )
        = $false )
      | ( ( v3_struct_0 @ SV410 )
        = $true )
      | ( ( l3_lattices @ SV410 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10837]) ).

thf(10875,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV429 )
          | ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10839]) ).

thf(10876,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV430 )
          | ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10840]) ).

thf(10877,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10841]) ).

thf(10878,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10842]) ).

thf(10879,plain,
    ! [SV157: $i] :
      ( ( ( ~ ( ~ ! [SY489: $i] :
                    ( ( v3_struct_0 @ SY489 )
                    | ~ ( v10_lattices @ SY489 )
                    | ~ ( l3_lattices @ SY489 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                    | ~ ( v3_struct_0 @ SV157 ) )
              | ~ ! [SY490: $i] :
                    ( ( v3_struct_0 @ SY490 )
                    | ~ ( v10_lattices @ SY490 )
                    | ~ ( l3_lattices @ SY490 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                    | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                    | ( v10_lattices @ SV157 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10843]) ).

thf(10880,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY491: $i] :
              ( ( v3_struct_0 @ SY491 )
              | ~ ( v10_lattices @ SY491 )
              | ~ ( l3_lattices @ SY491 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY491 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY491 ) )
              | ( v17_lattices @ SV157 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10844]) ).

thf(10881,plain,
    ! [SV157: $i,SV444: $i] :
      ( ( ( ( v3_struct_0 @ SV444 )
          | ~ ( v10_lattices @ SV444 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV444 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10845]) ).

thf(10882,plain,
    ! [SV157: $i,SV439: $i] :
      ( ( ( l3_lattices @ SV439 )
        = $false )
      | ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( v10_lattices @ SV439 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10846]) ).

thf(10883,plain,
    ! [SV431: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $false )
      | ( ( v3_struct_0 @ SV431 )
        = $true )
      | ( ( l3_lattices @ SV431 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10847]) ).

thf(10884,plain,
    ! [SV418: $i,SV157: $i] :
      ( ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) ) )
        = $true )
      | ( ( v17_lattices @ SV418 )
        = $true )
      | ( ( v10_lattices @ SV418 )
        = $false )
      | ( ( v3_struct_0 @ SV418 )
        = $true )
      | ( ( l3_lattices @ SV418 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10848]) ).

thf(10885,plain,
    ! [SV437: $i,SV160: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV437 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV437 )
        = $true )
      | ( ( l3_lattices @ SV437 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10849]) ).

thf(10886,plain,
    ! [SV438: $i,SV160: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV438 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) ) )
        = $true )
      | ( ( v10_lattices @ SV160 )
        = $true )
      | ( ( v3_struct_0 @ SV438 )
        = $true )
      | ( ( l3_lattices @ SV438 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10850]) ).

thf(10887,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV432 )
          | ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10851]) ).

thf(10888,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV433 )
          | ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10852]) ).

thf(10889,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10853]) ).

thf(10890,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10854]) ).

thf(10891,plain,
    ! [SV164: $i] :
      ( ( ( ~ ( ~ ! [SY518: $i] :
                    ( ( v3_struct_0 @ SY518 )
                    | ~ ( v10_lattices @ SY518 )
                    | ~ ( l3_lattices @ SY518 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                    | ~ ( v3_struct_0 @ SV164 ) )
              | ~ ! [SY519: $i] :
                    ( ( v3_struct_0 @ SY519 )
                    | ~ ( v10_lattices @ SY519 )
                    | ~ ( l3_lattices @ SY519 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                    | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                    | ( v10_lattices @ SV164 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10855]) ).

thf(10892,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY520: $i] :
              ( ( v3_struct_0 @ SY520 )
              | ~ ( v10_lattices @ SY520 )
              | ~ ( l3_lattices @ SY520 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY520 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY520 ) )
              | ( v11_lattices @ SV164 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10856]) ).

thf(10893,plain,
    ! [SV164: $i,SV445: $i] :
      ( ( ( ( v3_struct_0 @ SV445 )
          | ~ ( v10_lattices @ SV445 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV445 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10857]) ).

thf(10894,plain,
    ! [SV164: $i,SV440: $i] :
      ( ( ( l3_lattices @ SV440 )
        = $false )
      | ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( v10_lattices @ SV440 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10858]) ).

thf(10895,plain,
    ! [SV434: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $false )
      | ( ( v3_struct_0 @ SV434 )
        = $true )
      | ( ( l3_lattices @ SV434 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10859]) ).

thf(10896,plain,
    ! [SV420: $i,SV164: $i] :
      ( ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) ) )
        = $true )
      | ( ( v11_lattices @ SV420 )
        = $true )
      | ( ( v10_lattices @ SV420 )
        = $false )
      | ( ( v3_struct_0 @ SV420 )
        = $true )
      | ( ( l3_lattices @ SV420 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10860]) ).

thf(10897,plain,
    ! [SV170: $i,SV441: $i] :
      ( ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( v15_lattices @ SV441 )
          | ~ ( v16_lattices @ SV441 )
          | ~ ( l3_lattices @ SV441 )
          | ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10861]) ).

thf(10898,plain,
    ! [SV170: $i,SV442: $i] :
      ( ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( v15_lattices @ SV442 )
          | ~ ( v16_lattices @ SV442 )
          | ~ ( l3_lattices @ SV442 )
          | ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10862]) ).

thf(10899,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 )
          | ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10863]) ).

thf(10900,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10864]) ).

thf(10901,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10865]) ).

thf(10902,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                                ( ( v3_struct_0 @ SY540 )
                                | ~ ( v10_lattices @ SY540 )
                                | ~ ( l3_lattices @ SY540 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                                | ~ ( v3_struct_0 @ SV170 ) )
                          | ~ ! [SY541: $i] :
                                ( ( v3_struct_0 @ SY541 )
                                | ~ ( v10_lattices @ SY541 )
                                | ~ ( l3_lattices @ SY541 )
                                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                                | ( v10_lattices @ SV170 ) ) )
                    | ~ ! [SY542: $i] :
                          ( ( v3_struct_0 @ SY542 )
                          | ~ ( v10_lattices @ SY542 )
                          | ~ ( l3_lattices @ SY542 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                          | ( v15_lattices @ SV170 ) ) )
              | ~ ! [SY543: $i] :
                    ( ( v3_struct_0 @ SY543 )
                    | ~ ( v10_lattices @ SY543 )
                    | ~ ( l3_lattices @ SY543 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                    | ( v16_lattices @ SV170 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10866]) ).

thf(10903,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY544: $i] :
              ( ( v3_struct_0 @ SY544 )
              | ~ ( v10_lattices @ SY544 )
              | ~ ( l3_lattices @ SY544 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY544 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY544 ) )
              | ( l3_lattices @ SV170 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10867]) ).

thf(10904,plain,
    ! [SV170: $i,SV446: $i] :
      ( ( ( ( v3_struct_0 @ SV446 )
          | ~ ( v10_lattices @ SV446 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV446 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10868]) ).

thf(10905,plain,
    ! [SV170: $i,SV443: $i] :
      ( ( ( l3_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ( v10_lattices @ SV443 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10869]) ).

thf(10906,plain,
    ! [SV436: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( v15_lattices @ SV436 )
        = $true )
      | ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( l3_lattices @ SV436 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10870]) ).

thf(10907,plain,
    ! [SV424: $i,SV170: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( v16_lattices @ SV424 )
        = $true )
      | ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( l3_lattices @ SV424 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10871]) ).

thf(10908,plain,
    ! [SV407: $i,SV170: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV407 ) )
        = $false )
      | ( ( l3_lattices @ SV407 )
        = $true )
      | ( ( v10_lattices @ SV407 )
        = $false )
      | ( ( v3_struct_0 @ SV407 )
        = $true )
      | ( ( l3_lattices @ SV407 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10872]) ).

thf(10909,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV429 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10875]) ).

thf(10910,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 )
          | ( v3_struct_0 @ SV430 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10876]) ).

thf(10911,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10877]) ).

thf(10912,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10878]) ).

thf(10913,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY489: $i] :
                ( ( v3_struct_0 @ SY489 )
                | ~ ( v10_lattices @ SY489 )
                | ~ ( l3_lattices @ SY489 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                | ~ ( v3_struct_0 @ SV157 ) )
          | ~ ! [SY490: $i] :
                ( ( v3_struct_0 @ SY490 )
                | ~ ( v10_lattices @ SY490 )
                | ~ ( l3_lattices @ SY490 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                | ( v10_lattices @ SV157 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10879]) ).

thf(10914,plain,
    ! [SV157: $i,SV447: $i] :
      ( ( ( ( v3_struct_0 @ SV447 )
          | ~ ( v10_lattices @ SV447 )
          | ~ ( l3_lattices @ SV447 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10880]) ).

thf(10915,plain,
    ! [SV157: $i,SV444: $i] :
      ( ( ( v3_struct_0 @ SV444 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV444 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV444 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10881]) ).

thf(10916,plain,
    ! [SV439: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV439 )
        = $false )
      | ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( l3_lattices @ SV439 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10882]) ).

thf(10917,plain,
    ! [SV431: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $false )
      | ( ( v3_struct_0 @ SV431 )
        = $true )
      | ( ( l3_lattices @ SV431 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10883]) ).

thf(10918,plain,
    ! [SV418: $i,SV157: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV418 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV418 ) )
        = $false )
      | ( ( v17_lattices @ SV418 )
        = $true )
      | ( ( v10_lattices @ SV418 )
        = $false )
      | ( ( v3_struct_0 @ SV418 )
        = $true )
      | ( ( l3_lattices @ SV418 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10884]) ).

thf(10919,plain,
    ! [SV437: $i,SV160: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV437 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV160 ) )
        = $true )
      | ( ( v3_struct_0 @ SV437 )
        = $true )
      | ( ( l3_lattices @ SV437 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10885]) ).

thf(10920,plain,
    ! [SV438: $i,SV160: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV438 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV438 ) )
        = $false )
      | ( ( v10_lattices @ SV160 )
        = $true )
      | ( ( v3_struct_0 @ SV438 )
        = $true )
      | ( ( l3_lattices @ SV438 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10886]) ).

thf(10921,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV432 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10887]) ).

thf(10922,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 )
          | ( v3_struct_0 @ SV433 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10888]) ).

thf(10923,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10889]) ).

thf(10924,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10890]) ).

thf(10925,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY518: $i] :
                ( ( v3_struct_0 @ SY518 )
                | ~ ( v10_lattices @ SY518 )
                | ~ ( l3_lattices @ SY518 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                | ~ ( v3_struct_0 @ SV164 ) )
          | ~ ! [SY519: $i] :
                ( ( v3_struct_0 @ SY519 )
                | ~ ( v10_lattices @ SY519 )
                | ~ ( l3_lattices @ SY519 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                | ( v10_lattices @ SV164 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10891]) ).

thf(10926,plain,
    ! [SV164: $i,SV448: $i] :
      ( ( ( ( v3_struct_0 @ SV448 )
          | ~ ( v10_lattices @ SV448 )
          | ~ ( l3_lattices @ SV448 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10892]) ).

thf(10927,plain,
    ! [SV164: $i,SV445: $i] :
      ( ( ( v3_struct_0 @ SV445 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV445 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV445 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10893]) ).

thf(10928,plain,
    ! [SV440: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV440 )
        = $false )
      | ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( l3_lattices @ SV440 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10894]) ).

thf(10929,plain,
    ! [SV434: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $false )
      | ( ( v3_struct_0 @ SV434 )
        = $true )
      | ( ( l3_lattices @ SV434 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10895]) ).

thf(10930,plain,
    ! [SV420: $i,SV164: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV420 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV420 ) )
        = $false )
      | ( ( v11_lattices @ SV420 )
        = $true )
      | ( ( v10_lattices @ SV420 )
        = $false )
      | ( ( v3_struct_0 @ SV420 )
        = $true )
      | ( ( l3_lattices @ SV420 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10896]) ).

thf(10931,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( v15_lattices @ SV441 )
          | ~ ( v16_lattices @ SV441 )
          | ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10897]) ).

thf(10932,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( v15_lattices @ SV442 )
          | ~ ( v16_lattices @ SV442 )
          | ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10898]) ).

thf(10933,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 )
          | ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10899]) ).

thf(10934,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10900]) ).

thf(10935,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10901]) ).

thf(10936,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                            ( ( v3_struct_0 @ SY540 )
                            | ~ ( v10_lattices @ SY540 )
                            | ~ ( l3_lattices @ SY540 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                            | ~ ( v3_struct_0 @ SV170 ) )
                      | ~ ! [SY541: $i] :
                            ( ( v3_struct_0 @ SY541 )
                            | ~ ( v10_lattices @ SY541 )
                            | ~ ( l3_lattices @ SY541 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                            | ( v10_lattices @ SV170 ) ) )
                | ~ ! [SY542: $i] :
                      ( ( v3_struct_0 @ SY542 )
                      | ~ ( v10_lattices @ SY542 )
                      | ~ ( l3_lattices @ SY542 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                      | ( v15_lattices @ SV170 ) ) )
          | ~ ! [SY543: $i] :
                ( ( v3_struct_0 @ SY543 )
                | ~ ( v10_lattices @ SY543 )
                | ~ ( l3_lattices @ SY543 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                | ( v16_lattices @ SV170 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10902]) ).

thf(10937,plain,
    ! [SV170: $i,SV449: $i] :
      ( ( ( ( v3_struct_0 @ SV449 )
          | ~ ( v10_lattices @ SV449 )
          | ~ ( l3_lattices @ SV449 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10903]) ).

thf(10938,plain,
    ! [SV170: $i,SV446: $i] :
      ( ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV446 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV446 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10904]) ).

thf(10939,plain,
    ! [SV443: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( l3_lattices @ SV443 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10905]) ).

thf(10940,plain,
    ! [SV436: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( v15_lattices @ SV436 )
        = $true )
      | ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( l3_lattices @ SV436 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10906]) ).

thf(10941,plain,
    ! [SV424: $i,SV170: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $false )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( v16_lattices @ SV424 )
        = $true )
      | ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( l3_lattices @ SV424 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10907]) ).

thf(10942,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10909]) ).

thf(10943,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 )
          | ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10910]) ).

thf(10944,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10911]) ).

thf(10945,plain,
    ! [SV393: $i,SV157: $i] :
      ( ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10912]) ).

thf(10946,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY489: $i] :
                ( ( v3_struct_0 @ SY489 )
                | ~ ( v10_lattices @ SY489 )
                | ~ ( l3_lattices @ SY489 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
                | ~ ( v3_struct_0 @ SV157 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10913]) ).

thf(10947,plain,
    ! [SV157: $i] :
      ( ( ( ~ ! [SY490: $i] :
                ( ( v3_struct_0 @ SY490 )
                | ~ ( v10_lattices @ SY490 )
                | ~ ( l3_lattices @ SY490 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
                | ( v10_lattices @ SV157 ) ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10913]) ).

thf(10948,plain,
    ! [SV157: $i,SV447: $i] :
      ( ( ( ( v3_struct_0 @ SV447 )
          | ~ ( v10_lattices @ SV447 )
          | ~ ( l3_lattices @ SV447 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10914]) ).

thf(10949,plain,
    ! [SV157: $i,SV444: $i] :
      ( ( ( v10_lattices @ SV444 )
        = $false )
      | ( ( v3_struct_0 @ SV444 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV444 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10915]) ).

thf(10950,plain,
    ! [SV439: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV439 )
        = $false )
      | ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( l3_lattices @ SV439 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10916]) ).

thf(10951,plain,
    ! [SV431: $i,SV157: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $false )
      | ( ( v3_struct_0 @ SV431 )
        = $true )
      | ( ( l3_lattices @ SV431 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10917]) ).

thf(10952,plain,
    ! [SV437: $i,SV160: $i] :
      ( ( ( v3_struct_0 @ SV160 )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV160 @ SV437 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV160 @ SV437 ) )
        = $false )
      | ( ( v3_struct_0 @ SV437 )
        = $true )
      | ( ( l3_lattices @ SV437 )
        = $false )
      | ( ( v3_struct_0 @ SV160 )
        = $true )
      | ( ( l3_lattices @ SV160 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10919]) ).

thf(10953,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10921]) ).

thf(10954,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 )
          | ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10922]) ).

thf(10955,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10923]) ).

thf(10956,plain,
    ! [SV397: $i,SV164: $i] :
      ( ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10924]) ).

thf(10957,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY518: $i] :
                ( ( v3_struct_0 @ SY518 )
                | ~ ( v10_lattices @ SY518 )
                | ~ ( l3_lattices @ SY518 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
                | ~ ( v3_struct_0 @ SV164 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10925]) ).

thf(10958,plain,
    ! [SV164: $i] :
      ( ( ( ~ ! [SY519: $i] :
                ( ( v3_struct_0 @ SY519 )
                | ~ ( v10_lattices @ SY519 )
                | ~ ( l3_lattices @ SY519 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
                | ( v10_lattices @ SV164 ) ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10925]) ).

thf(10959,plain,
    ! [SV164: $i,SV448: $i] :
      ( ( ( ( v3_struct_0 @ SV448 )
          | ~ ( v10_lattices @ SV448 )
          | ~ ( l3_lattices @ SV448 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10926]) ).

thf(10960,plain,
    ! [SV164: $i,SV445: $i] :
      ( ( ( v10_lattices @ SV445 )
        = $false )
      | ( ( v3_struct_0 @ SV445 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV445 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10927]) ).

thf(10961,plain,
    ! [SV440: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV440 )
        = $false )
      | ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( l3_lattices @ SV440 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10928]) ).

thf(10962,plain,
    ! [SV434: $i,SV164: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $false )
      | ( ( v3_struct_0 @ SV434 )
        = $true )
      | ( ( l3_lattices @ SV434 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10929]) ).

thf(10963,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( v15_lattices @ SV441 )
          | ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10931]) ).

thf(10964,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( v15_lattices @ SV442 )
          | ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10932]) ).

thf(10965,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV435 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10933]) ).

thf(10966,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10934]) ).

thf(10967,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10935]) ).

thf(10968,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY540: $i] :
                            ( ( v3_struct_0 @ SY540 )
                            | ~ ( v10_lattices @ SY540 )
                            | ~ ( l3_lattices @ SY540 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                            | ~ ( v3_struct_0 @ SV170 ) )
                      | ~ ! [SY541: $i] :
                            ( ( v3_struct_0 @ SY541 )
                            | ~ ( v10_lattices @ SY541 )
                            | ~ ( l3_lattices @ SY541 )
                            | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                            | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                            | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                            | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                            | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                            | ( v10_lattices @ SV170 ) ) )
                | ~ ! [SY542: $i] :
                      ( ( v3_struct_0 @ SY542 )
                      | ~ ( v10_lattices @ SY542 )
                      | ~ ( l3_lattices @ SY542 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                      | ( v15_lattices @ SV170 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10936]) ).

thf(10969,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY543: $i] :
                ( ( v3_struct_0 @ SY543 )
                | ~ ( v10_lattices @ SY543 )
                | ~ ( l3_lattices @ SY543 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
                | ( v16_lattices @ SV170 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[10936]) ).

thf(10970,plain,
    ! [SV170: $i,SV449: $i] :
      ( ( ( ( v3_struct_0 @ SV449 )
          | ~ ( v10_lattices @ SV449 )
          | ~ ( l3_lattices @ SV449 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10937]) ).

thf(10971,plain,
    ! [SV170: $i,SV446: $i] :
      ( ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV446 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10938]) ).

thf(10972,plain,
    ! [SV443: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( l3_lattices @ SV443 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10939]) ).

thf(10973,plain,
    ! [SV436: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( v15_lattices @ SV436 )
        = $true )
      | ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( l3_lattices @ SV436 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10940]) ).

thf(10974,plain,
    ! [SV424: $i,SV170: $i] :
      ( ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) ) )
        = $true )
      | ( ( v16_lattices @ SV424 )
        = $true )
      | ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( l3_lattices @ SV424 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10941]) ).

thf(10975,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10942]) ).

thf(10976,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 )
          | ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10943]) ).

thf(10977,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10944]) ).

thf(10978,plain,
    ! [SV157: $i,SV393: $i] :
      ( ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( ~ ( v17_lattices @ SV393 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10945]) ).

thf(10979,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY489: $i] :
              ( ( v3_struct_0 @ SY489 )
              | ~ ( v10_lattices @ SY489 )
              | ~ ( l3_lattices @ SY489 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY489 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY489 ) )
              | ~ ( v3_struct_0 @ SV157 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10946]) ).

thf(10980,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY490: $i] :
              ( ( v3_struct_0 @ SY490 )
              | ~ ( v10_lattices @ SY490 )
              | ~ ( l3_lattices @ SY490 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SY490 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
              | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SY490 ) )
              | ( v10_lattices @ SV157 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10947]) ).

thf(10981,plain,
    ! [SV157: $i,SV447: $i] :
      ( ( ( ( v3_struct_0 @ SV447 )
          | ~ ( v10_lattices @ SV447 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV447 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10948]) ).

thf(10982,plain,
    ! [SV157: $i,SV444: $i] :
      ( ( ( l3_lattices @ SV444 )
        = $false )
      | ( ( v3_struct_0 @ SV444 )
        = $true )
      | ( ( v10_lattices @ SV444 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10949]) ).

thf(10983,plain,
    ! [SV439: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV439 )
        = $false )
      | ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( l3_lattices @ SV439 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10950]) ).

thf(10984,plain,
    ! [SV431: $i,SV157: $i] :
      ( ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) ) )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $false )
      | ( ( v3_struct_0 @ SV431 )
        = $true )
      | ( ( l3_lattices @ SV431 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10951]) ).

thf(10985,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10953]) ).

thf(10986,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 )
          | ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10954]) ).

thf(10987,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10955]) ).

thf(10988,plain,
    ! [SV164: $i,SV397: $i] :
      ( ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( ~ ( v11_lattices @ SV397 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10956]) ).

thf(10989,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY518: $i] :
              ( ( v3_struct_0 @ SY518 )
              | ~ ( v10_lattices @ SY518 )
              | ~ ( l3_lattices @ SY518 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY518 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY518 ) )
              | ~ ( v3_struct_0 @ SV164 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10957]) ).

thf(10990,plain,
    ! [SV164: $i] :
      ( ( ( ! [SY519: $i] :
              ( ( v3_struct_0 @ SY519 )
              | ~ ( v10_lattices @ SY519 )
              | ~ ( l3_lattices @ SY519 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SY519 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
              | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SY519 ) )
              | ( v10_lattices @ SV164 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10958]) ).

thf(10991,plain,
    ! [SV164: $i,SV448: $i] :
      ( ( ( ( v3_struct_0 @ SV448 )
          | ~ ( v10_lattices @ SV448 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV448 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10959]) ).

thf(10992,plain,
    ! [SV164: $i,SV445: $i] :
      ( ( ( l3_lattices @ SV445 )
        = $false )
      | ( ( v3_struct_0 @ SV445 )
        = $true )
      | ( ( v10_lattices @ SV445 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10960]) ).

thf(10993,plain,
    ! [SV440: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV440 )
        = $false )
      | ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( l3_lattices @ SV440 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10961]) ).

thf(10994,plain,
    ! [SV434: $i,SV164: $i] :
      ( ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) ) )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $false )
      | ( ( v3_struct_0 @ SV434 )
        = $true )
      | ( ( l3_lattices @ SV434 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10962]) ).

thf(10995,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 )
          | ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10963]) ).

thf(10996,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 )
          | ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10964]) ).

thf(10997,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10965]) ).

thf(10998,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10966]) ).

thf(10999,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10967]) ).

thf(11000,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ! [SY540: $i] :
                          ( ( v3_struct_0 @ SY540 )
                          | ~ ( v10_lattices @ SY540 )
                          | ~ ( l3_lattices @ SY540 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                          | ~ ( v3_struct_0 @ SV170 ) )
                    | ~ ! [SY541: $i] :
                          ( ( v3_struct_0 @ SY541 )
                          | ~ ( v10_lattices @ SY541 )
                          | ~ ( l3_lattices @ SY541 )
                          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                          | ( v10_lattices @ SV170 ) ) )
              | ~ ! [SY542: $i] :
                    ( ( v3_struct_0 @ SY542 )
                    | ~ ( v10_lattices @ SY542 )
                    | ~ ( l3_lattices @ SY542 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                    | ( v15_lattices @ SV170 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10968]) ).

thf(11001,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY543: $i] :
              ( ( v3_struct_0 @ SY543 )
              | ~ ( v10_lattices @ SY543 )
              | ~ ( l3_lattices @ SY543 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY543 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY543 ) )
              | ( v16_lattices @ SV170 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[10969]) ).

thf(11002,plain,
    ! [SV170: $i,SV449: $i] :
      ( ( ( ( v3_struct_0 @ SV449 )
          | ~ ( v10_lattices @ SV449 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV449 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10970]) ).

thf(11003,plain,
    ! [SV170: $i,SV446: $i] :
      ( ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10971]) ).

thf(11004,plain,
    ! [SV443: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( l3_lattices @ SV443 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10972]) ).

thf(11005,plain,
    ! [SV436: $i,SV170: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( v15_lattices @ SV436 )
        = $true )
      | ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( l3_lattices @ SV436 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10973]) ).

thf(11006,plain,
    ! [SV424: $i,SV170: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV424 ) )
        = $false )
      | ( ( v16_lattices @ SV424 )
        = $true )
      | ( ( v10_lattices @ SV424 )
        = $false )
      | ( ( v3_struct_0 @ SV424 )
        = $true )
      | ( ( l3_lattices @ SV424 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10974]) ).

thf(11007,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10975]) ).

thf(11008,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ SV157 )
          | ~ ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10976]) ).

thf(11009,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10977]) ).

thf(11010,plain,
    ! [SV157: $i,SV393: $i] :
      ( ( ( v17_lattices @ SV393 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV393 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10978]) ).

thf(11011,plain,
    ! [SV157: $i,SV450: $i] :
      ( ( ( ( v3_struct_0 @ SV450 )
          | ~ ( v10_lattices @ SV450 )
          | ~ ( l3_lattices @ SV450 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10979]) ).

thf(11012,plain,
    ! [SV157: $i,SV451: $i] :
      ( ( ( ( v3_struct_0 @ SV451 )
          | ~ ( v10_lattices @ SV451 )
          | ~ ( l3_lattices @ SV451 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10980]) ).

thf(11013,plain,
    ! [SV157: $i,SV447: $i] :
      ( ( ( v3_struct_0 @ SV447 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV447 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV447 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10981]) ).

thf(11014,plain,
    ! [SV444: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV444 )
        = $false )
      | ( ( v3_struct_0 @ SV444 )
        = $true )
      | ( ( l3_lattices @ SV444 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10982]) ).

thf(11015,plain,
    ! [SV439: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV439 )
        = $false )
      | ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( l3_lattices @ SV439 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10983]) ).

thf(11016,plain,
    ! [SV431: $i,SV157: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV431 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV431 ) )
        = $false )
      | ( ( v10_lattices @ SV431 )
        = $true )
      | ( ( v10_lattices @ SV431 )
        = $false )
      | ( ( v3_struct_0 @ SV431 )
        = $true )
      | ( ( l3_lattices @ SV431 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10984]) ).

thf(11017,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10985]) ).

thf(11018,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ SV164 )
          | ~ ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10986]) ).

thf(11019,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10987]) ).

thf(11020,plain,
    ! [SV164: $i,SV397: $i] :
      ( ( ( v11_lattices @ SV397 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV397 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10988]) ).

thf(11021,plain,
    ! [SV164: $i,SV452: $i] :
      ( ( ( ( v3_struct_0 @ SV452 )
          | ~ ( v10_lattices @ SV452 )
          | ~ ( l3_lattices @ SV452 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10989]) ).

thf(11022,plain,
    ! [SV164: $i,SV453: $i] :
      ( ( ( ( v3_struct_0 @ SV453 )
          | ~ ( v10_lattices @ SV453 )
          | ~ ( l3_lattices @ SV453 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[10990]) ).

thf(11023,plain,
    ! [SV164: $i,SV448: $i] :
      ( ( ( v3_struct_0 @ SV448 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV448 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV448 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10991]) ).

thf(11024,plain,
    ! [SV445: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV445 )
        = $false )
      | ( ( v3_struct_0 @ SV445 )
        = $true )
      | ( ( l3_lattices @ SV445 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10992]) ).

thf(11025,plain,
    ! [SV440: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV440 )
        = $false )
      | ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( l3_lattices @ SV440 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10993]) ).

thf(11026,plain,
    ! [SV434: $i,SV164: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV434 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV434 ) )
        = $false )
      | ( ( v10_lattices @ SV434 )
        = $true )
      | ( ( v10_lattices @ SV434 )
        = $false )
      | ( ( v3_struct_0 @ SV434 )
        = $true )
      | ( ( l3_lattices @ SV434 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10994]) ).

thf(11027,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 )
          | ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10995]) ).

thf(11028,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 )
          | ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10996]) ).

thf(11029,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10997]) ).

thf(11030,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[10998]) ).

thf(11031,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[10999]) ).

thf(11032,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ! [SY540: $i] :
                      ( ( v3_struct_0 @ SY540 )
                      | ~ ( v10_lattices @ SY540 )
                      | ~ ( l3_lattices @ SY540 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                      | ~ ( v3_struct_0 @ SV170 ) )
                | ~ ! [SY541: $i] :
                      ( ( v3_struct_0 @ SY541 )
                      | ~ ( v10_lattices @ SY541 )
                      | ~ ( l3_lattices @ SY541 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                      | ( v10_lattices @ SV170 ) ) )
          | ~ ! [SY542: $i] :
                ( ( v3_struct_0 @ SY542 )
                | ~ ( v10_lattices @ SY542 )
                | ~ ( l3_lattices @ SY542 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                | ( v15_lattices @ SV170 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11000]) ).

thf(11033,plain,
    ! [SV170: $i,SV454: $i] :
      ( ( ( ( v3_struct_0 @ SV454 )
          | ~ ( v10_lattices @ SV454 )
          | ~ ( l3_lattices @ SV454 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[11001]) ).

thf(11034,plain,
    ! [SV170: $i,SV449: $i] :
      ( ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV449 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV449 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11002]) ).

thf(11035,plain,
    ! [SV446: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11003]) ).

thf(11036,plain,
    ! [SV443: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( l3_lattices @ SV443 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11004]) ).

thf(11037,plain,
    ! [SV436: $i,SV170: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $false )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( v15_lattices @ SV436 )
        = $true )
      | ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( l3_lattices @ SV436 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11005]) ).

thf(11038,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11007]) ).

thf(11039,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11008]) ).

thf(11040,plain,
    ! [SV417: $i,SV157: $i] :
      ( ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11009]) ).

thf(11041,plain,
    ! [SV157: $i,SV393: $i] :
      ( ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v17_lattices @ SV393 )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV393 ) )
        = $true )
      | ( ( v10_lattices @ SV393 )
        = $false )
      | ( ( v3_struct_0 @ SV393 )
        = $true )
      | ( ( l3_lattices @ SV393 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11010]) ).

thf(11042,plain,
    ! [SV157: $i,SV450: $i] :
      ( ( ( ( v3_struct_0 @ SV450 )
          | ~ ( v10_lattices @ SV450 )
          | ~ ( l3_lattices @ SV450 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11011]) ).

thf(11043,plain,
    ! [SV157: $i,SV451: $i] :
      ( ( ( ( v3_struct_0 @ SV451 )
          | ~ ( v10_lattices @ SV451 )
          | ~ ( l3_lattices @ SV451 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11012]) ).

thf(11044,plain,
    ! [SV157: $i,SV447: $i] :
      ( ( ( v10_lattices @ SV447 )
        = $false )
      | ( ( v3_struct_0 @ SV447 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV447 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11013]) ).

thf(11045,plain,
    ! [SV444: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV444 )
        = $false )
      | ( ( v3_struct_0 @ SV444 )
        = $true )
      | ( ( l3_lattices @ SV444 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11014]) ).

thf(11046,plain,
    ! [SV439: $i,SV157: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV439 )
        = $false )
      | ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( l3_lattices @ SV439 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11015]) ).

thf(11047,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11017]) ).

thf(11048,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11018]) ).

thf(11049,plain,
    ! [SV419: $i,SV164: $i] :
      ( ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11019]) ).

thf(11050,plain,
    ! [SV164: $i,SV397: $i] :
      ( ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v11_lattices @ SV397 )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV397 ) )
        = $true )
      | ( ( v10_lattices @ SV397 )
        = $false )
      | ( ( v3_struct_0 @ SV397 )
        = $true )
      | ( ( l3_lattices @ SV397 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11020]) ).

thf(11051,plain,
    ! [SV164: $i,SV452: $i] :
      ( ( ( ( v3_struct_0 @ SV452 )
          | ~ ( v10_lattices @ SV452 )
          | ~ ( l3_lattices @ SV452 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11021]) ).

thf(11052,plain,
    ! [SV164: $i,SV453: $i] :
      ( ( ( ( v3_struct_0 @ SV453 )
          | ~ ( v10_lattices @ SV453 )
          | ~ ( l3_lattices @ SV453 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11022]) ).

thf(11053,plain,
    ! [SV164: $i,SV448: $i] :
      ( ( ( v10_lattices @ SV448 )
        = $false )
      | ( ( v3_struct_0 @ SV448 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV448 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11023]) ).

thf(11054,plain,
    ! [SV445: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV445 )
        = $false )
      | ( ( v3_struct_0 @ SV445 )
        = $true )
      | ( ( l3_lattices @ SV445 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11024]) ).

thf(11055,plain,
    ! [SV440: $i,SV164: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV440 )
        = $false )
      | ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( l3_lattices @ SV440 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11025]) ).

thf(11056,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV441 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11027]) ).

thf(11057,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 )
          | ( v3_struct_0 @ SV442 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11028]) ).

thf(11058,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11029]) ).

thf(11059,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11030]) ).

thf(11060,plain,
    ! [SV406: $i,SV170: $i] :
      ( ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11031]) ).

thf(11061,plain,
    ! [SV170: $i] :
      ( ( ( ~ ~ ( ~ ! [SY540: $i] :
                      ( ( v3_struct_0 @ SY540 )
                      | ~ ( v10_lattices @ SY540 )
                      | ~ ( l3_lattices @ SY540 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                      | ~ ( v3_struct_0 @ SV170 ) )
                | ~ ! [SY541: $i] :
                      ( ( v3_struct_0 @ SY541 )
                      | ~ ( v10_lattices @ SY541 )
                      | ~ ( l3_lattices @ SY541 )
                      | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                      | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                      | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                      | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                      | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                      | ( v10_lattices @ SV170 ) ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11032]) ).

thf(11062,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY542: $i] :
                ( ( v3_struct_0 @ SY542 )
                | ~ ( v10_lattices @ SY542 )
                | ~ ( l3_lattices @ SY542 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
                | ( v15_lattices @ SV170 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11032]) ).

thf(11063,plain,
    ! [SV170: $i,SV454: $i] :
      ( ( ( ( v3_struct_0 @ SV454 )
          | ~ ( v10_lattices @ SV454 )
          | ~ ( l3_lattices @ SV454 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11033]) ).

thf(11064,plain,
    ! [SV170: $i,SV449: $i] :
      ( ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV449 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11034]) ).

thf(11065,plain,
    ! [SV446: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11035]) ).

thf(11066,plain,
    ! [SV443: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( l3_lattices @ SV443 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11036]) ).

thf(11067,plain,
    ! [SV436: $i,SV170: $i] :
      ( ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) ) )
        = $true )
      | ( ( v15_lattices @ SV436 )
        = $true )
      | ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( l3_lattices @ SV436 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11037]) ).

thf(11068,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11038]) ).

thf(11069,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( ~ ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11039]) ).

thf(11070,plain,
    ! [SV157: $i,SV417: $i] :
      ( ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( ~ ( v17_lattices @ SV417 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11040]) ).

thf(11071,plain,
    ! [SV157: $i,SV450: $i] :
      ( ( ( ( v3_struct_0 @ SV450 )
          | ~ ( v10_lattices @ SV450 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV450 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11042]) ).

thf(11072,plain,
    ! [SV157: $i,SV451: $i] :
      ( ( ( ( v3_struct_0 @ SV451 )
          | ~ ( v10_lattices @ SV451 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV451 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11043]) ).

thf(11073,plain,
    ! [SV157: $i,SV447: $i] :
      ( ( ( l3_lattices @ SV447 )
        = $false )
      | ( ( v3_struct_0 @ SV447 )
        = $true )
      | ( ( v10_lattices @ SV447 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ( v17_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11044]) ).

thf(11074,plain,
    ! [SV444: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV444 )
        = $false )
      | ( ( v3_struct_0 @ SV444 )
        = $true )
      | ( ( l3_lattices @ SV444 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11045]) ).

thf(11075,plain,
    ! [SV439: $i,SV157: $i] :
      ( ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV439 )
        = $false )
      | ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( l3_lattices @ SV439 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11046]) ).

thf(11076,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11047]) ).

thf(11077,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( ~ ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11048]) ).

thf(11078,plain,
    ! [SV164: $i,SV419: $i] :
      ( ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( ~ ( v11_lattices @ SV419 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11049]) ).

thf(11079,plain,
    ! [SV164: $i,SV452: $i] :
      ( ( ( ( v3_struct_0 @ SV452 )
          | ~ ( v10_lattices @ SV452 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV452 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11051]) ).

thf(11080,plain,
    ! [SV164: $i,SV453: $i] :
      ( ( ( ( v3_struct_0 @ SV453 )
          | ~ ( v10_lattices @ SV453 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV453 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11052]) ).

thf(11081,plain,
    ! [SV164: $i,SV448: $i] :
      ( ( ( l3_lattices @ SV448 )
        = $false )
      | ( ( v3_struct_0 @ SV448 )
        = $true )
      | ( ( v10_lattices @ SV448 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ( v11_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11053]) ).

thf(11082,plain,
    ! [SV445: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV445 )
        = $false )
      | ( ( v3_struct_0 @ SV445 )
        = $true )
      | ( ( l3_lattices @ SV445 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11054]) ).

thf(11083,plain,
    ! [SV440: $i,SV164: $i] :
      ( ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV440 )
        = $false )
      | ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( l3_lattices @ SV440 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11055]) ).

thf(11084,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11056]) ).

thf(11085,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 )
          | ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11057]) ).

thf(11086,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11058]) ).

thf(11087,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11059]) ).

thf(11088,plain,
    ! [SV170: $i,SV406: $i] :
      ( ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( ~ ( v15_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11060]) ).

thf(11089,plain,
    ! [SV170: $i] :
      ( ( ( ~ ( ~ ! [SY540: $i] :
                    ( ( v3_struct_0 @ SY540 )
                    | ~ ( v10_lattices @ SY540 )
                    | ~ ( l3_lattices @ SY540 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                    | ~ ( v3_struct_0 @ SV170 ) )
              | ~ ! [SY541: $i] :
                    ( ( v3_struct_0 @ SY541 )
                    | ~ ( v10_lattices @ SY541 )
                    | ~ ( l3_lattices @ SY541 )
                    | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                    | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                    | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                    | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                    | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                    | ( v10_lattices @ SV170 ) ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11061]) ).

thf(11090,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY542: $i] :
              ( ( v3_struct_0 @ SY542 )
              | ~ ( v10_lattices @ SY542 )
              | ~ ( l3_lattices @ SY542 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY542 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY542 ) )
              | ( v15_lattices @ SV170 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11062]) ).

thf(11091,plain,
    ! [SV170: $i,SV454: $i] :
      ( ( ( ( v3_struct_0 @ SV454 )
          | ~ ( v10_lattices @ SV454 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV454 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11063]) ).

thf(11092,plain,
    ! [SV170: $i,SV449: $i] :
      ( ( ( l3_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11064]) ).

thf(11093,plain,
    ! [SV446: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11065]) ).

thf(11094,plain,
    ! [SV443: $i,SV170: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( l3_lattices @ SV443 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11066]) ).

thf(11095,plain,
    ! [SV436: $i,SV170: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV436 ) )
        = $false )
      | ( ( v15_lattices @ SV436 )
        = $true )
      | ( ( v10_lattices @ SV436 )
        = $false )
      | ( ( v3_struct_0 @ SV436 )
        = $true )
      | ( ( l3_lattices @ SV436 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11067]) ).

thf(11096,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11068]) ).

thf(11097,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV157 ) )
        = $true )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11069]) ).

thf(11098,plain,
    ! [SV157: $i,SV417: $i] :
      ( ( ( v17_lattices @ SV417 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV417 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11070]) ).

thf(11099,plain,
    ! [SV157: $i,SV450: $i] :
      ( ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV450 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV450 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11071]) ).

thf(11100,plain,
    ! [SV157: $i,SV451: $i] :
      ( ( ( v3_struct_0 @ SV451 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV451 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV451 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11072]) ).

thf(11101,plain,
    ! [SV447: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV447 )
        = $false )
      | ( ( v3_struct_0 @ SV447 )
        = $true )
      | ( ( l3_lattices @ SV447 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11073]) ).

thf(11102,plain,
    ! [SV444: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV444 )
        = $false )
      | ( ( v3_struct_0 @ SV444 )
        = $true )
      | ( ( l3_lattices @ SV444 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11074]) ).

thf(11103,plain,
    ! [SV439: $i,SV157: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ SV439 )
        = $false )
      | ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( l3_lattices @ SV439 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11075]) ).

thf(11104,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11076]) ).

thf(11105,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV164 ) )
        = $true )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11077]) ).

thf(11106,plain,
    ! [SV164: $i,SV419: $i] :
      ( ( ( v11_lattices @ SV419 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV419 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11078]) ).

thf(11107,plain,
    ! [SV164: $i,SV452: $i] :
      ( ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV452 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV452 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11079]) ).

thf(11108,plain,
    ! [SV164: $i,SV453: $i] :
      ( ( ( v3_struct_0 @ SV453 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV453 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV453 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11080]) ).

thf(11109,plain,
    ! [SV448: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV448 )
        = $false )
      | ( ( v3_struct_0 @ SV448 )
        = $true )
      | ( ( l3_lattices @ SV448 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11081]) ).

thf(11110,plain,
    ! [SV445: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV445 )
        = $false )
      | ( ( v3_struct_0 @ SV445 )
        = $true )
      | ( ( l3_lattices @ SV445 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11082]) ).

thf(11111,plain,
    ! [SV440: $i,SV164: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ SV440 )
        = $false )
      | ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( l3_lattices @ SV440 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11083]) ).

thf(11112,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11084]) ).

thf(11113,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 )
          | ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11085]) ).

thf(11114,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11086]) ).

thf(11115,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11087]) ).

thf(11116,plain,
    ! [SV170: $i,SV406: $i] :
      ( ( ( v15_lattices @ SV406 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV406 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11088]) ).

thf(11117,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY540: $i] :
                ( ( v3_struct_0 @ SY540 )
                | ~ ( v10_lattices @ SY540 )
                | ~ ( l3_lattices @ SY540 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                | ~ ( v3_struct_0 @ SV170 ) )
          | ~ ! [SY541: $i] :
                ( ( v3_struct_0 @ SY541 )
                | ~ ( v10_lattices @ SY541 )
                | ~ ( l3_lattices @ SY541 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                | ( v10_lattices @ SV170 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11089]) ).

thf(11118,plain,
    ! [SV170: $i,SV455: $i] :
      ( ( ( ( v3_struct_0 @ SV455 )
          | ~ ( v10_lattices @ SV455 )
          | ~ ( l3_lattices @ SV455 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[11090]) ).

thf(11119,plain,
    ! [SV170: $i,SV454: $i] :
      ( ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV454 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV454 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11091]) ).

thf(11120,plain,
    ! [SV449: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( l3_lattices @ SV449 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11092]) ).

thf(11121,plain,
    ! [SV446: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11093]) ).

thf(11122,plain,
    ! [SV443: $i,SV170: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $false )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( l3_lattices @ SV443 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11094]) ).

thf(11123,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11096]) ).

thf(11124,plain,
    ! [SV430: $i,SV157: $i] :
      ( ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11097]) ).

thf(11125,plain,
    ! [SV157: $i,SV417: $i] :
      ( ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v17_lattices @ SV417 )
        = $false )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV417 ) )
        = $true )
      | ( ( v10_lattices @ SV417 )
        = $false )
      | ( ( v3_struct_0 @ SV417 )
        = $true )
      | ( ( l3_lattices @ SV417 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11098]) ).

thf(11126,plain,
    ! [SV157: $i,SV450: $i] :
      ( ( ( v10_lattices @ SV450 )
        = $false )
      | ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV450 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11099]) ).

thf(11127,plain,
    ! [SV157: $i,SV451: $i] :
      ( ( ( v10_lattices @ SV451 )
        = $false )
      | ( ( v3_struct_0 @ SV451 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV451 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11100]) ).

thf(11128,plain,
    ! [SV447: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV447 )
        = $false )
      | ( ( v3_struct_0 @ SV447 )
        = $true )
      | ( ( l3_lattices @ SV447 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11101]) ).

thf(11129,plain,
    ! [SV444: $i,SV157: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV444 )
        = $false )
      | ( ( v3_struct_0 @ SV444 )
        = $true )
      | ( ( l3_lattices @ SV444 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11102]) ).

thf(11130,plain,
    ! [SV157: $i,SV439: $i] :
      ( ( ( v3_struct_0 @ SV439 )
        = $false )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV439 ) )
        = $false )
      | ( ( v10_lattices @ SV439 )
        = $false )
      | ( ( v3_struct_0 @ SV439 )
        = $true )
      | ( ( l3_lattices @ SV439 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11103]) ).

thf(11131,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11104]) ).

thf(11132,plain,
    ! [SV433: $i,SV164: $i] :
      ( ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11105]) ).

thf(11133,plain,
    ! [SV164: $i,SV419: $i] :
      ( ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v11_lattices @ SV419 )
        = $false )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV419 ) )
        = $true )
      | ( ( v10_lattices @ SV419 )
        = $false )
      | ( ( v3_struct_0 @ SV419 )
        = $true )
      | ( ( l3_lattices @ SV419 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11106]) ).

thf(11134,plain,
    ! [SV164: $i,SV452: $i] :
      ( ( ( v10_lattices @ SV452 )
        = $false )
      | ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV452 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11107]) ).

thf(11135,plain,
    ! [SV164: $i,SV453: $i] :
      ( ( ( v10_lattices @ SV453 )
        = $false )
      | ( ( v3_struct_0 @ SV453 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV453 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11108]) ).

thf(11136,plain,
    ! [SV448: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV448 )
        = $false )
      | ( ( v3_struct_0 @ SV448 )
        = $true )
      | ( ( l3_lattices @ SV448 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11109]) ).

thf(11137,plain,
    ! [SV445: $i,SV164: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV445 )
        = $false )
      | ( ( v3_struct_0 @ SV445 )
        = $true )
      | ( ( l3_lattices @ SV445 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11110]) ).

thf(11138,plain,
    ! [SV164: $i,SV440: $i] :
      ( ( ( v3_struct_0 @ SV440 )
        = $false )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV440 ) )
        = $false )
      | ( ( v10_lattices @ SV440 )
        = $false )
      | ( ( v3_struct_0 @ SV440 )
        = $true )
      | ( ( l3_lattices @ SV440 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11111]) ).

thf(11139,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11112]) ).

thf(11140,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 )
          | ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11113]) ).

thf(11141,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11114]) ).

thf(11142,plain,
    ! [SV423: $i,SV170: $i] :
      ( ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11115]) ).

thf(11143,plain,
    ! [SV170: $i,SV406: $i] :
      ( ( ( v16_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV406 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV406 ) )
        = $true )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11116]) ).

thf(11144,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY540: $i] :
                ( ( v3_struct_0 @ SY540 )
                | ~ ( v10_lattices @ SY540 )
                | ~ ( l3_lattices @ SY540 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
                | ~ ( v3_struct_0 @ SV170 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11117]) ).

thf(11145,plain,
    ! [SV170: $i] :
      ( ( ( ~ ! [SY541: $i] :
                ( ( v3_struct_0 @ SY541 )
                | ~ ( v10_lattices @ SY541 )
                | ~ ( l3_lattices @ SY541 )
                | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
                | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
                | ( v10_lattices @ SV170 ) ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[11117]) ).

thf(11146,plain,
    ! [SV170: $i,SV455: $i] :
      ( ( ( ( v3_struct_0 @ SV455 )
          | ~ ( v10_lattices @ SV455 )
          | ~ ( l3_lattices @ SV455 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11118]) ).

thf(11147,plain,
    ! [SV170: $i,SV454: $i] :
      ( ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV454 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11119]) ).

thf(11148,plain,
    ! [SV449: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( l3_lattices @ SV449 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11120]) ).

thf(11149,plain,
    ! [SV446: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11121]) ).

thf(11150,plain,
    ! [SV443: $i,SV170: $i] :
      ( ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) ) )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( l3_lattices @ SV443 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11122]) ).

thf(11151,plain,
    ! [SV157: $i,SV429: $i] :
      ( ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( ~ ( v17_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11123]) ).

thf(11152,plain,
    ! [SV157: $i,SV430: $i] :
      ( ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( ~ ( v17_lattices @ SV430 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11124]) ).

thf(11153,plain,
    ! [SV157: $i,SV450: $i] :
      ( ( ( l3_lattices @ SV450 )
        = $false )
      | ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( v10_lattices @ SV450 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11126]) ).

thf(11154,plain,
    ! [SV157: $i,SV451: $i] :
      ( ( ( l3_lattices @ SV451 )
        = $false )
      | ( ( v3_struct_0 @ SV451 )
        = $true )
      | ( ( v10_lattices @ SV451 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ( v10_lattices @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11127]) ).

thf(11155,plain,
    ! [SV447: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV447 )
        = $false )
      | ( ( v3_struct_0 @ SV447 )
        = $true )
      | ( ( l3_lattices @ SV447 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11128]) ).

thf(11156,plain,
    ! [SV444: $i,SV157: $i] :
      ( ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) ) )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV444 )
        = $false )
      | ( ( v3_struct_0 @ SV444 )
        = $true )
      | ( ( l3_lattices @ SV444 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11129]) ).

thf(11157,plain,
    ! [SV164: $i,SV432: $i] :
      ( ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( ~ ( v11_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11131]) ).

thf(11158,plain,
    ! [SV164: $i,SV433: $i] :
      ( ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( ~ ( v11_lattices @ SV433 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11132]) ).

thf(11159,plain,
    ! [SV164: $i,SV452: $i] :
      ( ( ( l3_lattices @ SV452 )
        = $false )
      | ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( v10_lattices @ SV452 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11134]) ).

thf(11160,plain,
    ! [SV164: $i,SV453: $i] :
      ( ( ( l3_lattices @ SV453 )
        = $false )
      | ( ( v3_struct_0 @ SV453 )
        = $true )
      | ( ( v10_lattices @ SV453 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ( v10_lattices @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11135]) ).

thf(11161,plain,
    ! [SV448: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV448 )
        = $false )
      | ( ( v3_struct_0 @ SV448 )
        = $true )
      | ( ( l3_lattices @ SV448 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11136]) ).

thf(11162,plain,
    ! [SV445: $i,SV164: $i] :
      ( ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) ) )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV445 )
        = $false )
      | ( ( v3_struct_0 @ SV445 )
        = $true )
      | ( ( l3_lattices @ SV445 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11137]) ).

thf(11163,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11139]) ).

thf(11164,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ SV170 )
          | ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11140]) ).

thf(11165,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11141]) ).

thf(11166,plain,
    ! [SV170: $i,SV423: $i] :
      ( ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( ~ ( v15_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11142]) ).

thf(11167,plain,
    ! [SV170: $i,SV406: $i] :
      ( ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v15_lattices @ SV406 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v16_lattices @ SV406 )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV406 ) )
        = $true )
      | ( ( v10_lattices @ SV406 )
        = $false )
      | ( ( v3_struct_0 @ SV406 )
        = $true )
      | ( ( l3_lattices @ SV406 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11143]) ).

thf(11168,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY540: $i] :
              ( ( v3_struct_0 @ SY540 )
              | ~ ( v10_lattices @ SY540 )
              | ~ ( l3_lattices @ SY540 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY540 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY540 ) )
              | ~ ( v3_struct_0 @ SV170 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11144]) ).

thf(11169,plain,
    ! [SV170: $i] :
      ( ( ( ! [SY541: $i] :
              ( ( v3_struct_0 @ SY541 )
              | ~ ( v10_lattices @ SY541 )
              | ~ ( l3_lattices @ SY541 )
              | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SY541 ) )
              | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
              | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
              | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
              | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SY541 ) )
              | ( v10_lattices @ SV170 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[11145]) ).

thf(11170,plain,
    ! [SV170: $i,SV455: $i] :
      ( ( ( ( v3_struct_0 @ SV455 )
          | ~ ( v10_lattices @ SV455 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV455 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11146]) ).

thf(11171,plain,
    ! [SV170: $i,SV454: $i] :
      ( ( ( l3_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11147]) ).

thf(11172,plain,
    ! [SV449: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( l3_lattices @ SV449 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11148]) ).

thf(11173,plain,
    ! [SV446: $i,SV170: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11149]) ).

thf(11174,plain,
    ! [SV443: $i,SV170: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV443 ) )
        = $false )
      | ( ( v10_lattices @ SV443 )
        = $true )
      | ( ( v10_lattices @ SV443 )
        = $false )
      | ( ( v3_struct_0 @ SV443 )
        = $true )
      | ( ( l3_lattices @ SV443 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11150]) ).

thf(11175,plain,
    ! [SV157: $i,SV429: $i] :
      ( ( ( v17_lattices @ SV429 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV429 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11151]) ).

thf(11176,plain,
    ! [SV157: $i,SV430: $i] :
      ( ( ( v17_lattices @ SV430 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11152]) ).

thf(11177,plain,
    ! [SV450: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV450 )
        = $false )
      | ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( l3_lattices @ SV450 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11153]) ).

thf(11178,plain,
    ! [SV451: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV451 )
        = $false )
      | ( ( v3_struct_0 @ SV451 )
        = $true )
      | ( ( l3_lattices @ SV451 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11154]) ).

thf(11179,plain,
    ! [SV447: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV447 )
        = $false )
      | ( ( v3_struct_0 @ SV447 )
        = $true )
      | ( ( l3_lattices @ SV447 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11155]) ).

thf(11180,plain,
    ! [SV444: $i,SV157: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV444 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV444 ) )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV444 )
        = $false )
      | ( ( v3_struct_0 @ SV444 )
        = $true )
      | ( ( l3_lattices @ SV444 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11156]) ).

thf(11181,plain,
    ! [SV164: $i,SV432: $i] :
      ( ( ( v11_lattices @ SV432 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV432 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11157]) ).

thf(11182,plain,
    ! [SV164: $i,SV433: $i] :
      ( ( ( v11_lattices @ SV433 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11158]) ).

thf(11183,plain,
    ! [SV452: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV452 )
        = $false )
      | ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( l3_lattices @ SV452 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11159]) ).

thf(11184,plain,
    ! [SV453: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV453 )
        = $false )
      | ( ( v3_struct_0 @ SV453 )
        = $true )
      | ( ( l3_lattices @ SV453 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11160]) ).

thf(11185,plain,
    ! [SV448: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV448 )
        = $false )
      | ( ( v3_struct_0 @ SV448 )
        = $true )
      | ( ( l3_lattices @ SV448 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11161]) ).

thf(11186,plain,
    ! [SV445: $i,SV164: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV445 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV445 ) )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV445 )
        = $false )
      | ( ( v3_struct_0 @ SV445 )
        = $true )
      | ( ( l3_lattices @ SV445 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11162]) ).

thf(11187,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11163]) ).

thf(11188,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11164]) ).

thf(11189,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11165]) ).

thf(11190,plain,
    ! [SV170: $i,SV423: $i] :
      ( ( ( v15_lattices @ SV423 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV423 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11166]) ).

thf(11191,plain,
    ! [SV170: $i,SV456: $i] :
      ( ( ( ( v3_struct_0 @ SV456 )
          | ~ ( v10_lattices @ SV456 )
          | ~ ( l3_lattices @ SV456 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[11168]) ).

thf(11192,plain,
    ! [SV170: $i,SV457: $i] :
      ( ( ( ( v3_struct_0 @ SV457 )
          | ~ ( v10_lattices @ SV457 )
          | ~ ( l3_lattices @ SV457 )
          | ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[11169]) ).

thf(11193,plain,
    ! [SV170: $i,SV455: $i] :
      ( ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV455 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV455 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11170]) ).

thf(11194,plain,
    ! [SV454: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( l3_lattices @ SV454 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11171]) ).

thf(11195,plain,
    ! [SV449: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( l3_lattices @ SV449 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11172]) ).

thf(11196,plain,
    ! [SV446: $i,SV170: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11173]) ).

thf(11197,plain,
    ! [SV157: $i,SV429: $i] :
      ( ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v17_lattices @ SV429 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) ) )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11175]) ).

thf(11198,plain,
    ! [SV157: $i,SV430: $i] :
      ( ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v17_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV430 ) )
        = $true )
      | ( ( v10_lattices @ SV430 )
        = $false )
      | ( ( v3_struct_0 @ SV430 )
        = $true )
      | ( ( l3_lattices @ SV430 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11176]) ).

thf(11199,plain,
    ! [SV450: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV450 )
        = $false )
      | ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( l3_lattices @ SV450 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11177]) ).

thf(11200,plain,
    ! [SV451: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV451 )
        = $false )
      | ( ( v3_struct_0 @ SV451 )
        = $true )
      | ( ( l3_lattices @ SV451 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11178]) ).

thf(11201,plain,
    ! [SV447: $i,SV157: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV447 )
        = $false )
      | ( ( v3_struct_0 @ SV447 )
        = $true )
      | ( ( l3_lattices @ SV447 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11179]) ).

thf(11202,plain,
    ! [SV164: $i,SV432: $i] :
      ( ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v11_lattices @ SV432 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) ) )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11181]) ).

thf(11203,plain,
    ! [SV164: $i,SV433: $i] :
      ( ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v11_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV433 ) )
        = $true )
      | ( ( v10_lattices @ SV433 )
        = $false )
      | ( ( v3_struct_0 @ SV433 )
        = $true )
      | ( ( l3_lattices @ SV433 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11182]) ).

thf(11204,plain,
    ! [SV452: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV452 )
        = $false )
      | ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( l3_lattices @ SV452 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11183]) ).

thf(11205,plain,
    ! [SV453: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV453 )
        = $false )
      | ( ( v3_struct_0 @ SV453 )
        = $true )
      | ( ( l3_lattices @ SV453 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11184]) ).

thf(11206,plain,
    ! [SV448: $i,SV164: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV448 )
        = $false )
      | ( ( v3_struct_0 @ SV448 )
        = $true )
      | ( ( l3_lattices @ SV448 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11185]) ).

thf(11207,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11187]) ).

thf(11208,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( ~ ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11188]) ).

thf(11209,plain,
    ! [SV435: $i,SV170: $i] :
      ( ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11189]) ).

thf(11210,plain,
    ! [SV170: $i,SV423: $i] :
      ( ( ( v16_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV423 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV423 ) )
        = $true )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11190]) ).

thf(11211,plain,
    ! [SV170: $i,SV456: $i] :
      ( ( ( ( v3_struct_0 @ SV456 )
          | ~ ( v10_lattices @ SV456 )
          | ~ ( l3_lattices @ SV456 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11191]) ).

thf(11212,plain,
    ! [SV170: $i,SV457: $i] :
      ( ( ( ( v3_struct_0 @ SV457 )
          | ~ ( v10_lattices @ SV457 )
          | ~ ( l3_lattices @ SV457 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11192]) ).

thf(11213,plain,
    ! [SV170: $i,SV455: $i] :
      ( ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV455 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11193]) ).

thf(11214,plain,
    ! [SV454: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( l3_lattices @ SV454 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11194]) ).

thf(11215,plain,
    ! [SV449: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( l3_lattices @ SV449 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11195]) ).

thf(11216,plain,
    ! [SV446: $i,SV170: $i] :
      ( ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11196]) ).

thf(11217,plain,
    ! [SV429: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV429 ) )
        = $false )
      | ( ( v17_lattices @ SV429 )
        = $false )
      | ( ( l3_lattices @ SV157 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV429 )
        = $false )
      | ( ( v3_struct_0 @ SV429 )
        = $true )
      | ( ( l3_lattices @ SV429 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11197]) ).

thf(11218,plain,
    ! [SV450: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV450 )
        = $false )
      | ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( l3_lattices @ SV450 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11199]) ).

thf(11219,plain,
    ! [SV451: $i,SV157: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV451 )
        = $false )
      | ( ( v3_struct_0 @ SV451 )
        = $true )
      | ( ( l3_lattices @ SV451 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11200]) ).

thf(11220,plain,
    ! [SV447: $i,SV157: $i] :
      ( ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) ) )
        = $true )
      | ( ( v17_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV447 )
        = $false )
      | ( ( v3_struct_0 @ SV447 )
        = $true )
      | ( ( l3_lattices @ SV447 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11201]) ).

thf(11221,plain,
    ! [SV432: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV432 ) )
        = $false )
      | ( ( v11_lattices @ SV432 )
        = $false )
      | ( ( l3_lattices @ SV164 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV432 )
        = $false )
      | ( ( v3_struct_0 @ SV432 )
        = $true )
      | ( ( l3_lattices @ SV432 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11202]) ).

thf(11222,plain,
    ! [SV452: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV452 )
        = $false )
      | ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( l3_lattices @ SV452 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11204]) ).

thf(11223,plain,
    ! [SV453: $i,SV164: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV453 )
        = $false )
      | ( ( v3_struct_0 @ SV453 )
        = $true )
      | ( ( l3_lattices @ SV453 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11205]) ).

thf(11224,plain,
    ! [SV448: $i,SV164: $i] :
      ( ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) ) )
        = $true )
      | ( ( v11_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV448 )
        = $false )
      | ( ( v3_struct_0 @ SV448 )
        = $true )
      | ( ( l3_lattices @ SV448 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11206]) ).

thf(11225,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11207]) ).

thf(11226,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV170 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11208]) ).

thf(11227,plain,
    ! [SV170: $i,SV435: $i] :
      ( ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( ~ ( v15_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11209]) ).

thf(11228,plain,
    ! [SV170: $i,SV423: $i] :
      ( ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v15_lattices @ SV423 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v16_lattices @ SV423 )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV423 ) )
        = $true )
      | ( ( v10_lattices @ SV423 )
        = $false )
      | ( ( v3_struct_0 @ SV423 )
        = $true )
      | ( ( l3_lattices @ SV423 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11210]) ).

thf(11229,plain,
    ! [SV170: $i,SV456: $i] :
      ( ( ( ( v3_struct_0 @ SV456 )
          | ~ ( v10_lattices @ SV456 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV456 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11211]) ).

thf(11230,plain,
    ! [SV170: $i,SV457: $i] :
      ( ( ( ( v3_struct_0 @ SV457 )
          | ~ ( v10_lattices @ SV457 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV457 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11212]) ).

thf(11231,plain,
    ! [SV170: $i,SV455: $i] :
      ( ( ( l3_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ( v15_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11213]) ).

thf(11232,plain,
    ! [SV454: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( l3_lattices @ SV454 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11214]) ).

thf(11233,plain,
    ! [SV449: $i,SV170: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( l3_lattices @ SV449 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11215]) ).

thf(11234,plain,
    ! [SV446: $i,SV170: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV446 ) )
        = $true )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11216]) ).

thf(11235,plain,
    ! [SV450: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV450 )
        = $false )
      | ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( l3_lattices @ SV450 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11218]) ).

thf(11236,plain,
    ! [SV451: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV451 )
        = $false )
      | ( ( v3_struct_0 @ SV451 )
        = $true )
      | ( ( l3_lattices @ SV451 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11219]) ).

thf(11237,plain,
    ! [SV447: $i,SV157: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV447 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV447 ) )
        = $false )
      | ( ( v17_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV447 )
        = $false )
      | ( ( v3_struct_0 @ SV447 )
        = $true )
      | ( ( l3_lattices @ SV447 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11220]) ).

thf(11238,plain,
    ! [SV452: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV452 )
        = $false )
      | ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( l3_lattices @ SV452 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11222]) ).

thf(11239,plain,
    ! [SV453: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV453 )
        = $false )
      | ( ( v3_struct_0 @ SV453 )
        = $true )
      | ( ( l3_lattices @ SV453 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11223]) ).

thf(11240,plain,
    ! [SV448: $i,SV164: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV448 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV448 ) )
        = $false )
      | ( ( v11_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV448 )
        = $false )
      | ( ( v3_struct_0 @ SV448 )
        = $true )
      | ( ( l3_lattices @ SV448 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11224]) ).

thf(11241,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11225]) ).

thf(11242,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV170 ) )
        = $true )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11226]) ).

thf(11243,plain,
    ! [SV170: $i,SV435: $i] :
      ( ( ( v15_lattices @ SV435 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV435 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11227]) ).

thf(11244,plain,
    ! [SV170: $i,SV456: $i] :
      ( ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV456 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV456 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11229]) ).

thf(11245,plain,
    ! [SV170: $i,SV457: $i] :
      ( ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV457 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV457 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11230]) ).

thf(11246,plain,
    ! [SV455: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( l3_lattices @ SV455 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11231]) ).

thf(11247,plain,
    ! [SV454: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( l3_lattices @ SV454 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11232]) ).

thf(11248,plain,
    ! [SV449: $i,SV170: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $false )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( l3_lattices @ SV449 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11233]) ).

thf(11249,plain,
    ! [SV170: $i,SV446: $i] :
      ( ( ( v3_struct_0 @ SV446 )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV446 ) )
        = $false )
      | ( ( v10_lattices @ SV446 )
        = $false )
      | ( ( v3_struct_0 @ SV446 )
        = $true )
      | ( ( l3_lattices @ SV446 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11234]) ).

thf(11250,plain,
    ! [SV450: $i,SV157: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV450 )
        = $false )
      | ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( l3_lattices @ SV450 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11235]) ).

thf(11251,plain,
    ! [SV451: $i,SV157: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
        = $true )
      | ( ( ~ ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV451 )
        = $false )
      | ( ( v3_struct_0 @ SV451 )
        = $true )
      | ( ( l3_lattices @ SV451 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11236]) ).

thf(11252,plain,
    ! [SV452: $i,SV164: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV452 )
        = $false )
      | ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( l3_lattices @ SV452 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11238]) ).

thf(11253,plain,
    ! [SV453: $i,SV164: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
        = $true )
      | ( ( ~ ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV453 )
        = $false )
      | ( ( v3_struct_0 @ SV453 )
        = $true )
      | ( ( l3_lattices @ SV453 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11239]) ).

thf(11254,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11241]) ).

thf(11255,plain,
    ! [SV442: $i,SV170: $i] :
      ( ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( ~ ( v10_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11242]) ).

thf(11256,plain,
    ! [SV170: $i,SV435: $i] :
      ( ( ( v16_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV435 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV435 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11243]) ).

thf(11257,plain,
    ! [SV170: $i,SV456: $i] :
      ( ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV456 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11244]) ).

thf(11258,plain,
    ! [SV170: $i,SV457: $i] :
      ( ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( ~ ( l3_lattices @ SV457 ) )
        = $true )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11245]) ).

thf(11259,plain,
    ! [SV455: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( l3_lattices @ SV455 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11246]) ).

thf(11260,plain,
    ! [SV454: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( l3_lattices @ SV454 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11247]) ).

thf(11261,plain,
    ! [SV449: $i,SV170: $i] :
      ( ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) ) )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( l3_lattices @ SV449 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11248]) ).

thf(11262,plain,
    ! [SV450: $i,SV157: $i] :
      ( ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV450 )
        = $false )
      | ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( l3_lattices @ SV450 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11250]) ).

thf(11263,plain,
    ! [SV451: $i,SV157: $i] :
      ( ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) ) )
        = $true )
      | ( ( v10_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV451 )
        = $false )
      | ( ( v3_struct_0 @ SV451 )
        = $true )
      | ( ( l3_lattices @ SV451 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11251]) ).

thf(11264,plain,
    ! [SV452: $i,SV164: $i] :
      ( ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV452 )
        = $false )
      | ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( l3_lattices @ SV452 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11252]) ).

thf(11265,plain,
    ! [SV453: $i,SV164: $i] :
      ( ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) ) )
        = $true )
      | ( ( v10_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV453 )
        = $false )
      | ( ( v3_struct_0 @ SV453 )
        = $true )
      | ( ( l3_lattices @ SV453 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11253]) ).

thf(11266,plain,
    ! [SV170: $i,SV441: $i] :
      ( ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( ~ ( v15_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11254]) ).

thf(11267,plain,
    ! [SV170: $i,SV442: $i] :
      ( ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( ~ ( v15_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11255]) ).

thf(11268,plain,
    ! [SV170: $i,SV435: $i] :
      ( ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v15_lattices @ SV435 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v16_lattices @ SV435 )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV435 ) )
        = $true )
      | ( ( v10_lattices @ SV435 )
        = $false )
      | ( ( v3_struct_0 @ SV435 )
        = $true )
      | ( ( l3_lattices @ SV435 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11256]) ).

thf(11269,plain,
    ! [SV170: $i,SV456: $i] :
      ( ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11257]) ).

thf(11270,plain,
    ! [SV170: $i,SV457: $i] :
      ( ( ( l3_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ( v10_lattices @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11258]) ).

thf(11271,plain,
    ! [SV455: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( l3_lattices @ SV455 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11259]) ).

thf(11272,plain,
    ! [SV454: $i,SV170: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( l3_lattices @ SV454 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11260]) ).

thf(11273,plain,
    ! [SV449: $i,SV170: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV449 ) )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV449 )
        = $false )
      | ( ( v3_struct_0 @ SV449 )
        = $true )
      | ( ( l3_lattices @ SV449 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11261]) ).

thf(11274,plain,
    ! [SV450: $i,SV157: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV157 ) )
        = $true )
      | ( ( v10_lattices @ SV450 )
        = $false )
      | ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( l3_lattices @ SV450 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11262]) ).

thf(11275,plain,
    ! [SV451: $i,SV157: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV451 ) )
        = $true )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV451 ) )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $true )
      | ( ( v10_lattices @ SV451 )
        = $false )
      | ( ( v3_struct_0 @ SV451 )
        = $true )
      | ( ( l3_lattices @ SV451 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11263]) ).

thf(11276,plain,
    ! [SV452: $i,SV164: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV164 ) )
        = $true )
      | ( ( v10_lattices @ SV452 )
        = $false )
      | ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( l3_lattices @ SV452 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11264]) ).

thf(11277,plain,
    ! [SV453: $i,SV164: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV453 ) )
        = $true )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV453 ) )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $true )
      | ( ( v10_lattices @ SV453 )
        = $false )
      | ( ( v3_struct_0 @ SV453 )
        = $true )
      | ( ( l3_lattices @ SV453 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11265]) ).

thf(11278,plain,
    ! [SV170: $i,SV441: $i] :
      ( ( ( v15_lattices @ SV441 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11266]) ).

thf(11279,plain,
    ! [SV170: $i,SV442: $i] :
      ( ( ( v15_lattices @ SV442 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( ~ ( v16_lattices @ SV442 ) )
        = $true )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11267]) ).

thf(11280,plain,
    ! [SV456: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11269]) ).

thf(11281,plain,
    ! [SV457: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( l3_lattices @ SV457 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11270]) ).

thf(11282,plain,
    ! [SV455: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( l3_lattices @ SV455 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11271]) ).

thf(11283,plain,
    ! [SV454: $i,SV170: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $false )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( l3_lattices @ SV454 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11272]) ).

thf(11284,plain,
    ! [SV450: $i,SV157: $i] :
      ( ( ( v3_struct_0 @ SV157 )
        = $false )
      | ( ( v17_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV157 @ SV450 ) )
        = $false )
      | ( ( v10_lattices @ SV450 )
        = $false )
      | ( ( v3_struct_0 @ SV450 )
        = $true )
      | ( ( l3_lattices @ SV450 )
        = $false )
      | ( ( v10_lattices @ SV157 )
        = $false )
      | ( ( v3_struct_0 @ SV157 )
        = $true )
      | ( ( l3_lattices @ SV157 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11274]) ).

thf(11285,plain,
    ! [SV452: $i,SV164: $i] :
      ( ( ( v3_struct_0 @ SV164 )
        = $false )
      | ( ( v11_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV164 @ SV452 ) )
        = $false )
      | ( ( v10_lattices @ SV452 )
        = $false )
      | ( ( v3_struct_0 @ SV452 )
        = $true )
      | ( ( l3_lattices @ SV452 )
        = $false )
      | ( ( v10_lattices @ SV164 )
        = $false )
      | ( ( v3_struct_0 @ SV164 )
        = $true )
      | ( ( l3_lattices @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11276]) ).

thf(11286,plain,
    ! [SV170: $i,SV441: $i] :
      ( ( ( v16_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV441 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV441 ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11278]) ).

thf(11287,plain,
    ! [SV170: $i,SV442: $i] :
      ( ( ( v16_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV442 )
        = $false )
      | ( ( ~ ( l3_lattices @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11279]) ).

thf(11288,plain,
    ! [SV456: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11280]) ).

thf(11289,plain,
    ! [SV457: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( l3_lattices @ SV457 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11281]) ).

thf(11290,plain,
    ! [SV455: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( l3_lattices @ SV455 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11282]) ).

thf(11291,plain,
    ! [SV454: $i,SV170: $i] :
      ( ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) ) )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( l3_lattices @ SV454 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11283]) ).

thf(11292,plain,
    ! [SV170: $i,SV441: $i] :
      ( ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v15_lattices @ SV441 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v16_lattices @ SV441 )
        = $false )
      | ( ( ~ ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) ) )
        = $true )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11286]) ).

thf(11293,plain,
    ! [SV170: $i,SV442: $i] :
      ( ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v15_lattices @ SV442 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v16_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV442 ) )
        = $true )
      | ( ( v10_lattices @ SV442 )
        = $false )
      | ( ( v3_struct_0 @ SV442 )
        = $true )
      | ( ( l3_lattices @ SV442 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11287]) ).

thf(11294,plain,
    ! [SV456: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11288]) ).

thf(11295,plain,
    ! [SV457: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( l3_lattices @ SV457 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11289]) ).

thf(11296,plain,
    ! [SV455: $i,SV170: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( l3_lattices @ SV455 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11290]) ).

thf(11297,plain,
    ! [SV454: $i,SV170: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV454 ) )
        = $false )
      | ( ( v16_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV454 )
        = $false )
      | ( ( v3_struct_0 @ SV454 )
        = $true )
      | ( ( l3_lattices @ SV454 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11291]) ).

thf(11298,plain,
    ! [SV441: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV441 ) )
        = $false )
      | ( ( v16_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( v16_lattices @ SV170 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $false )
      | ( ( l3_lattices @ SV170 )
        = $false )
      | ( ( v15_lattices @ SV441 )
        = $false )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV441 )
        = $false )
      | ( ( v3_struct_0 @ SV441 )
        = $true )
      | ( ( l3_lattices @ SV441 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11292]) ).

thf(11299,plain,
    ! [SV456: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11294]) ).

thf(11300,plain,
    ! [SV457: $i,SV170: $i] :
      ( ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
          | ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( l3_lattices @ SV457 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11295]) ).

thf(11301,plain,
    ! [SV455: $i,SV170: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $false )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( l3_lattices @ SV455 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11296]) ).

thf(11302,plain,
    ! [SV456: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11299]) ).

thf(11303,plain,
    ! [SV457: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $true )
      | ( ( ~ ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( l3_lattices @ SV457 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[11300]) ).

thf(11304,plain,
    ! [SV455: $i,SV170: $i] :
      ( ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) ) )
        = $true )
      | ( ( v15_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( l3_lattices @ SV455 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11301]) ).

thf(11305,plain,
    ! [SV456: $i,SV170: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11302]) ).

thf(11306,plain,
    ! [SV457: $i,SV170: $i] :
      ( ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $true )
      | ( ( ~ ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( l3_lattices @ SV457 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11303]) ).

thf(11307,plain,
    ! [SV455: $i,SV170: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV455 ) )
        = $false )
      | ( ( v15_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV455 )
        = $false )
      | ( ( v3_struct_0 @ SV455 )
        = $true )
      | ( ( l3_lattices @ SV455 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11304]) ).

thf(11308,plain,
    ! [SV456: $i,SV170: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11305]) ).

thf(11309,plain,
    ! [SV457: $i,SV170: $i] :
      ( ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $false )
      | ( ( ~ ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( l3_lattices @ SV457 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11306]) ).

thf(11310,plain,
    ! [SV456: $i,SV170: $i] :
      ( ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) ) )
        = $true )
      | ( ( ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11308]) ).

thf(11311,plain,
    ! [SV457: $i,SV170: $i] :
      ( ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $false )
      | ( ( ~ ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) ) )
        = $true )
      | ( ( v10_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( l3_lattices @ SV457 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11309]) ).

thf(11312,plain,
    ! [SV456: $i,SV170: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( ~ ( v3_struct_0 @ SV170 ) )
        = $true )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11310]) ).

thf(11313,plain,
    ! [SV457: $i,SV170: $i] :
      ( ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $false )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $true )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV457 ) )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $true )
      | ( ( v10_lattices @ SV457 )
        = $false )
      | ( ( v3_struct_0 @ SV457 )
        = $true )
      | ( ( l3_lattices @ SV457 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11311]) ).

thf(11314,plain,
    ! [SV456: $i,SV170: $i] :
      ( ( ( v3_struct_0 @ SV170 )
        = $false )
      | ( ( v16_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( v10_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( v3_struct_0 @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $true )
      | ( ( v15_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( l3_lattices @ ( k8_filter_1 @ SV170 @ SV456 ) )
        = $false )
      | ( ( v10_lattices @ SV456 )
        = $false )
      | ( ( v3_struct_0 @ SV456 )
        = $true )
      | ( ( l3_lattices @ SV456 )
        = $false )
      | ( ( v10_lattices @ SV170 )
        = $false )
      | ( ( v3_struct_0 @ SV170 )
        = $true )
      | ( ( l3_lattices @ SV170 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[11312]) ).

thf(11315,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[7033,11314,11313,11307,11298,11297,11293,11285,11284,11277,11275,11273,11268,11249,11240,11237,11228,11221,11217,11203,11198,11186,11180,11174,11167,11138,11133,11130,11125,11095,11050,11041,11026,11016,11006,10952,10930,10920,10918,10908,10874,10873,10838,10836,10823,10813,10810,10737,10723,10720,10707,10684,10667,10656,10623,10622,10621,10620,10619,10618,10608,10606,10601,10600,10590,10589,10588,10587,10586,10584,10580,10564,10563,10560,10557,10548,10545,10543,10536,10524,10521,10520,10502,10496,10479,10456,10409,10404,10384,10383,10369,10356,10355,10354,10332,10314,10307,10297,10295,10294,10287,10283,10282,10278,10274,10259,10236,10233,10205,10204,10192,10183,10182,10181,10180,10168,10136,10135,10133,10132,10130,10117,10110,10099,10098,10097,10096,10094,10083,10055,10047,10025,10022,10011,10007,10001,9996,9989,9971,9970,9969,9965,9964,9963,9956,9948,9941,9938,9930,9929,9924,9923,9922,9921,9920,9918,9917,9893,9892,9862,9861,9857,9855,9839,9838,9837,9836,9832,9831,9827,9825,9813,9812,9796,9791,9790,9789,9786,9770,9766,9757,9743,9719,9692,9681,9657,9656,9637,9633,9620,9616,9615,9609,9608,9601,9573,9549,9543,9542,9540,9527,9526,9525,9524,9523,9522,9521,9516,9508,9507,9506,9505,9504,9501,9500,9499,9496,9486,9435,9434,9425,9421,9409,9408,9399,9398,9395,9394,9379,9378,9352,9341,9339,9328,9325,9314,9313,9312,9310,9304,9287,9268,9264,9258,9257,9253,9248,9245,9228,9216,9208,9206,9200,9190,9165,9158,9130,9113,9111,9091,9086,9079,9078,9077,9076,9065,9061,9060,9057,9056,9055,9054,9053,9052,9038,9037,9035,9034,9033,9020,9018,9017,9011,9010,9005,9004,9003,8999,8996,8995,8994,8990,8989,8985,8984,8973,8972,8969,8967,8954,8953,8951,8950,8948,8947,8946,8945,8944,8943,8940,8933,8932,8927,8922,8921,8920,8919,8918,8917,8908,8906,8905,8900,8899,8898,8727,8726,8713,8712,8705,8704,8700,8698,8694,8692,8650,8649,8648,8647,8645,8644,8634,8606,8597,8594,8576,8572,8569,8562,8556,8555,8552,8538,8512,8511,8508,8474,8472,8471,8470,8468,8467,8465,8464,8448,8447,8437,8396,8395,8391,8385,8381,8380,8372,8370,8365,8364,8363,8362,8361,8360,8349,8348,8347,8346,8345,8344,8343,8339,8337,8331,8327,8325,8324,8323,8320,8314,8313,8310,8308,8307,8296,8295,8290,8288,8287,8284,8280,8279,8274,8268,8266,8263,8262,8258,8248,8242,8241,8240,8235,8230,8223,8221,8214,8213,8212,8211,8210,8209,8206,8204,8203,8197,8182,8166,8164,8163,8162,8161,8160,8159,8158,8157,8156,8154,8153,8152,8148,8145,8144,8142,8141,8137,8136,8127,8123,8115,8114,8111,8064,8062,8060,8059,8058,7801,7799,7796,7784,7767,7766,7592,7591,7542,7541,7540,7539,7538,7537,7536,7532,7531,7530,7529,7523,7519,7485,7316,7315,7313,7262,7260,7258,7252,7248,7246,7235,7233,7223,7221,7134,7133,7106,7045]) ).

thf(11316,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[11315]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT292+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 29 07:12:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 3.37/3.60  ..................................................................................................................................................................................................................................
% 138.35/138.59  
% 138.35/138.59   No.of.Axioms: 6467
% 138.35/138.59  
% 138.35/138.59   Length.of.Defs: 0
% 138.35/138.59  
% 138.35/138.59   Contains.Choice.Funs: false
% 140.97/141.24  ................................................................................................................................................................................................................................................................................................................................................................................
% 142.48/142.75  (rf:2,axioms:287,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:6469,loop_count:0,foatp_calls:0,translation:fof_full).......................................................................................................................................................................................................................................................................................
% 176.70/177.02  
% 176.70/177.02  ********************************
% 176.70/177.02  *   All subproblems solved!    *
% 176.70/177.02  ********************************
% 176.70/177.02  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:292,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:67,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:11315,loop_count:0,foatp_calls:1,translation:fof_full)
% 184.49/184.81  
% 184.49/184.81  %**** Beginning of derivation protocol ****
% 184.49/184.81  % SZS output start CNFRefutation
% See solution above
% 184.52/184.84  
% 184.52/184.84  %**** End of derivation protocol ****
% 184.52/184.84  %**** no. of clauses in derivation: 5136 ****
% 184.52/184.84  %**** clause counter: 11315 ****
% 184.52/184.84  
% 184.52/184.84  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:292,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:67,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:11315,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------