%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT288+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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  : 300s
% DateTime : Thu Aug 31 06:03:39 EDT 2023

% Result   : Theorem 143.39s 143.73s
% Output   : Proof 143.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.50  % Problem    : LAT288+2 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.51  % Command    : do_cvc5 %s %d
% 0.51/0.72  % Computer : n014.cluster.edu
% 0.51/0.72  % Model    : x86_64 x86_64
% 0.51/0.72  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.51/0.72  % Memory   : 8042.1875MB
% 0.51/0.72  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.51/0.72  % CPULimit   : 300
% 0.51/0.72  % WCLimit    : 300
% 0.51/0.72  % DateTime   : Thu Aug 24 05:36:05 EDT 2023
% 0.51/0.72  % CPUTime    : 
% 0.68/1.53  %----Proving TF0_NAR, FOF, or CNF
% 143.39/143.73  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6BS4chOoFk/cvc5---1.0.5_26191.p...
% 143.39/143.73  ------- get file name : TPTP file name is LAT288+2
% 143.39/143.73  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26191.smt2...
% 143.39/143.73  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 143.39/143.73  --- Run --no-e-matching --full-saturate-quant at 5...
% 143.39/143.73  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 143.39/143.73  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 143.39/143.73  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 143.39/143.73  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 143.39/143.73  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 143.39/143.73  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 143.39/143.73  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 143.39/143.73  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 143.39/143.73  --- Run --relevant-triggers --full-saturate-quant at 5...
% 143.39/143.73  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 143.39/143.73  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 143.39/143.73  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 143.39/143.73  --- Run --no-cbqi --full-saturate-quant at 10...
% 143.39/143.73  --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 143.39/143.73  % SZS status Theorem for LAT288+2
% 143.39/143.73  % SZS output start Proof for LAT288+2
% 143.39/143.73  (
% 143.39/143.73  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_tarski (tptp.a_2_0_lopclset A B) (tptp.k7_lopclset A))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (not (tptp.v3_realset2 B)) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.k7_lopclset B)) (exists ((C $$unsorted)) (and (tptp.m1_filter_0 C B) (= C A) (tptp.v1_filter_0 C B)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (not (tptp.v3_realset2 B)) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_lopclset B C)) (exists ((D $$unsorted)) (and (tptp.m1_filter_0 D B) (= A D) (tptp.v1_filter_0 D B) (tptp.r2_hidden C D)))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_grcat_1 A B) (exists ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (and (= A (tptp.k4_mcart_1 C D E F)) (exists ((G $$unsorted)) (and (not (tptp.v3_struct_0 G)) (tptp.v1_rlvect_1 G) (tptp.v4_rlvect_1 G) (tptp.v5_rlvect_1 G) (tptp.v6_rlvect_1 G) (tptp.l1_rlvect_1 G) (= B G) (= C (tptp.u1_struct_0 G)) (= D (tptp.u1_rlvect_1 G)) (= E (tptp.k7_vectsp_1 G)) (= F (tptp.u2_struct_0 G)))))))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.v5_grcat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)))))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.v4_grcat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (not (tptp.v3_struct_0 B)) (tptp.v1_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)))))))) (let ((_let_7 (= (tptp.k7_vectsp_1 tptp.k2_algstr_1) tptp.k7_vectsp_2))) (let ((_let_8 (tptp.k1_tarski tptp.k1_xboole_0))) (let ((_let_9 (and (= (tptp.k1_binop_1 tptp.k2_midsp_1 tptp.k1_xboole_0 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.k7_vectsp_2 tptp.k1_xboole_0) tptp.k1_xboole_0) (= tptp.k8_vectsp_2 tptp.k1_xboole_0)))) (let ((_let_10 (tptp.u1_struct_0 tptp.k22_borsuk_1))) (let ((_let_11 (= tptp.k24_borsuk_1 tptp.np__1))) (let ((_let_12 (= tptp.k23_borsuk_1 tptp.np__0))) (let ((_let_13 (tptp.v3_vectsp_1 tptp.k3_vectsp_1))) (let ((_let_14 (tptp.v1_rlvect_1 tptp.k1_vectsp_1))) (let ((_let_15 (tptp.k2_group_1 tptp.k3_vectsp_1))) (let ((_let_16 (= tptp.k3_vectsp_1 (tptp.g3_vectsp_1 tptp.k1_numbers tptp.k33_binop_2 tptp.k35_binop_2 tptp.np__1 tptp.np__0)))) (let ((_let_17 (= tptp.k1_vectsp_1 (tptp.g1_rlvect_1 tptp.k1_numbers tptp.k33_binop_2 tptp.np__0)))) (let ((_let_18 (tptp.v2_group_1 tptp.k3_vectsp_1))) (let ((_let_19 (not (tptp.v3_struct_0 tptp.k3_vectsp_1)))) (let ((_let_20 (not (tptp.v3_struct_0 tptp.k1_vectsp_1)))) (let ((_let_21 (tptp.g1_group_1 tptp.k1_numbers tptp.k33_binop_2))) (let ((_let_22 (tptp.v4_group_1 _let_21))) (let ((_let_23 (tptp.v3_group_1 _let_21))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k7_cat_1 A B) (tptp.k3_cqc_lang A B))))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_cat_1 B A))) (= (tptp.k8_cat_1 A B) (tptp.g1_cat_1 (tptp.k1_tarski A) (tptp.k1_tarski B) _let_1 _let_1 (tptp.k1_cat_1 B B B) (tptp.k7_cat_1 A B))))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_cat_1 A B C) (tptp.k3_cqc_lang (tptp.k4_tarski A B) C))))) (let ((_let_27 (tptp.k6_finseq_1 tptp.k1_numbers))) (let ((_let_28 (tptp.k3_card_1 tptp.np__0))) (let ((_let_29 (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers))) (let ((_let_30 (tptp.k1_card_1 tptp.k5_numbers))) (let ((_let_31 (forall ((A $$unsorted)) (= (tptp.v1_card_4 A) (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k3_card_1 tptp.np__0)))))) (let ((_let_32 (tptp.v5_membered tptp.k5_ordinal2))) (let ((_let_33 (tptp.v4_membered tptp.k5_ordinal2))) (let ((_let_34 (tptp.v3_membered tptp.k5_ordinal2))) (let ((_let_35 (tptp.v2_membered tptp.k5_ordinal2))) (let ((_let_36 (tptp.v1_membered tptp.k5_ordinal2))) (let ((_let_37 (tptp.v3_ordinal1 tptp.k5_ordinal2))) (let ((_let_38 (tptp.v2_ordinal1 tptp.k5_ordinal2))) (let ((_let_39 (tptp.v1_ordinal1 tptp.k5_ordinal2))) (let ((_let_40 (not (tptp.v1_xboole_0 tptp.k5_ordinal2)))) (let ((_let_41 (forall ((A $$unsorted)) (= (tptp.v1_realset1 A) (not (and (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (not (= A (tptp.k1_tarski B)))))))))) (let ((_let_42 (= tptp.k7_cqc_lang tptp.a_0_0_cqc_lang))) (let ((_let_43 (= tptp.k9_cqc_lang tptp.k11_qc_lang1))) (let ((_let_44 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k9_funct_2 A B C) (tptp.k3_cqc_lang (tptp.k4_tarski A B) C))))) (let ((_let_45 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_cqc_lang A B) (tptp.k2_funcop_1 (tptp.k1_tarski A) B))))) (let ((_let_46 (= tptp.k1_qc_lang2 (tptp.k12_qc_lang1 tptp.k11_qc_lang1)))) (let ((_let_47 (= tptp.k5_qc_lang1 tptp.a_0_0_qc_lang1))) (let ((_let_48 (tptp.k1_zfmisc_1 tptp.k1_qc_lang1))) (let ((_let_49 (tptp.k4_tarski tptp.np__0 tptp.np__0))) (let ((_let_50 (tptp.k9_finseq_1 _let_49))) (let ((_let_51 (= tptp.k11_qc_lang1 _let_50))) (let ((_let_52 (forall ((A $$unsorted)) (= (tptp.v1_qc_lang1 A) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.k13_finseq_1 (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers)))) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k5_qc_lang1 (tptp.k7_qc_lang1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_qc_lang1 D B) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k12_finseq_1 (tptp.k7_qc_lang1 B) C) D) A))))))) (tptp.r2_hidden (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__0 tptp.np__0)) A) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers)) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__1 tptp.np__0)) B) A)))) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__2 tptp.np__0)) B) C) A)))))) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__3 tptp.np__0)) (tptp.k12_finseq_1 tptp.k2_qc_lang1 B)) C) A))))))))))) (let ((_let_53 (= tptp.k4_qc_lang1 (tptp.k2_zfmisc_1 (tptp.k1_tarski tptp.np__6) tptp.k5_numbers)))) (let ((_let_54 (= tptp.k3_qc_lang1 (tptp.k2_zfmisc_1 (tptp.k1_tarski tptp.np__5) tptp.k5_numbers)))) (let ((_let_55 (= tptp.k2_qc_lang1 (tptp.k2_zfmisc_1 (tptp.k1_tarski tptp.np__4) tptp.k5_numbers)))) (let ((_let_56 (= tptp.k1_qc_lang1 (tptp.k2_zfmisc_1 (tptp.k1_enumset1 tptp.np__4 tptp.np__5 tptp.np__6) tptp.k5_numbers)))) (let ((_let_57 (= tptp.k14_classes2 (tptp.k1_classes1 tptp.k13_classes2)))) (let ((_let_58 (tptp.k4_classes1 tptp.k5_ordinal2))) (let ((_let_59 (tptp.k1_card_1 tptp.k5_ordinal2))) (let ((_let_60 (= tptp.k13_classes2 (tptp.k1_classes1 tptp.k1_xboole_0)))) (let ((_let_61 (forall ((A $$unsorted)) (= (tptp.v1_classes2 A) (and (tptp.v1_ordinal1 A) (tptp.v2_classes1 A)))))) (let ((_let_62 (forall ((A $$unsorted)) (= (tptp.k1_eqrel_1 A) (tptp.k2_zfmisc_1 A A))))) (let ((_let_63 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m2_finseq_1 B A) (tptp.m1_finseq_1 B A))))) (let ((_let_64 (forall ((A $$unsorted)) (= (tptp.k9_finseq_1 A) (tptp.k1_tarski (tptp.k4_tarski tptp.np__1 A)))))) (let ((_let_65 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k11_finseq_1 A B C) (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k9_finseq_1 B)) (tptp.k9_finseq_1 C)))))) (let ((_let_66 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_finseq_1 A B) (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k9_finseq_1 B)))))) (let ((_let_67 (forall ((A $$unsorted)) (= (tptp.k6_finseq_1 A) tptp.k1_xboole_0)))) (let ((_let_68 (forall ((A $$unsorted)) (= (tptp.k5_finseq_1 A) (tptp.k1_tarski (tptp.k4_tarski tptp.np__1 A)))))) (let ((_let_69 (tptp.v1_finseq_1 tptp.k1_xboole_0))) (let ((_let_70 (tptp.v1_funct_1 tptp.k1_xboole_0))) (let ((_let_71 (tptp.v1_relat_1 tptp.k1_xboole_0))) (let ((_let_72 (tptp.v2_funct_1 tptp.k1_xboole_0))) (let ((_let_73 (tptp.v3_relat_1 tptp.k1_xboole_0))) (let ((_let_74 (tptp.v1_xboole_0 tptp.k1_xboole_0))) (let ((_let_75 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_wellord2 A B) (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)))))) (let ((_let_76 (forall ((A $$unsorted)) (= (tptp.v1_card_1 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (= A B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_wellord2 C B) (tptp.r1_ordinal1 B C)))))))))) (let ((_let_77 (forall ((A $$unsorted)) (= (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v4_ordinal2 B))))))) (let ((_let_78 (forall ((A $$unsorted)) (= (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_int_1 B))))))) (let ((_let_79 (forall ((A $$unsorted)) (= (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_rat_1 B))))))) (let ((_let_80 (forall ((A $$unsorted)) (= (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_xreal_0 B))))))) (let ((_let_81 (forall ((A $$unsorted)) (= (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_xcmplx_0 B))))))) (let ((_let_82 (not (tptp.v1_xboole_0 tptp.k4_numbers)))) (let ((_let_83 (not (tptp.v1_xboole_0 tptp.k3_numbers)))) (let ((_let_84 (not (tptp.v1_xboole_0 tptp.k1_numbers)))) (let ((_let_85 (not (tptp.v1_xboole_0 tptp.k2_numbers)))) (let ((_let_86 (tptp.k2_zfmisc_1 tptp.k5_numbers tptp.k5_numbers))) (let ((_let_87 (tptp.v1_funct_2 tptp.k48_binop_2 _let_86 tptp.k5_numbers))) (let ((_let_88 (tptp.v1_funct_1 tptp.k48_binop_2))) (let ((_let_89 (tptp.v1_funct_2 tptp.k47_binop_2 _let_86 tptp.k5_numbers))) (let ((_let_90 (tptp.v1_funct_1 tptp.k47_binop_2))) (let ((_let_91 (tptp.k2_zfmisc_1 tptp.k4_numbers tptp.k4_numbers))) (let ((_let_92 (tptp.v1_funct_2 tptp.k46_binop_2 _let_91 tptp.k4_numbers))) (let ((_let_93 (tptp.v1_funct_1 tptp.k46_binop_2))) (let ((_let_94 (tptp.v1_funct_2 tptp.k44_binop_2 _let_91 tptp.k4_numbers))) (let ((_let_95 (tptp.v1_funct_1 tptp.k44_binop_2))) (let ((_let_96 (tptp.k2_zfmisc_1 tptp.k3_numbers tptp.k3_numbers))) (let ((_let_97 (tptp.v1_funct_2 tptp.k41_binop_2 _let_96 tptp.k3_numbers))) (let ((_let_98 (tptp.v1_funct_1 tptp.k41_binop_2))) (let ((_let_99 (tptp.v1_funct_2 tptp.k39_binop_2 _let_96 tptp.k3_numbers))) (let ((_let_100 (tptp.v1_funct_1 tptp.k39_binop_2))) (let ((_let_101 (tptp.k2_zfmisc_1 tptp.k1_numbers tptp.k1_numbers))) (let ((_let_102 (tptp.v1_funct_2 tptp.k35_binop_2 _let_101 tptp.k1_numbers))) (let ((_let_103 (tptp.v1_funct_1 tptp.k35_binop_2))) (let ((_let_104 (tptp.v1_funct_2 tptp.k33_binop_2 _let_101 tptp.k1_numbers))) (let ((_let_105 (tptp.v1_funct_1 tptp.k33_binop_2))) (let ((_let_106 (tptp.k2_zfmisc_1 tptp.k2_numbers tptp.k2_numbers))) (let ((_let_107 (tptp.v1_funct_2 tptp.k29_binop_2 _let_106 tptp.k2_numbers))) (let ((_let_108 (tptp.v1_funct_1 tptp.k29_binop_2))) (let ((_let_109 (tptp.v1_funct_2 tptp.k27_binop_2 _let_106 tptp.k2_numbers))) (let ((_let_110 (tptp.v1_funct_1 tptp.k27_binop_2))) (let ((_let_111 (tptp.k3_binop_1 tptp.k2_numbers tptp.k29_binop_2))) (let ((_let_112 (= _let_111 tptp.np__1))) (let ((_let_113 (= (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2) tptp.np__0))) (let ((_let_114 (tptp.v2_binop_1 tptp.k48_binop_2 tptp.k5_numbers))) (let ((_let_115 (tptp.v1_binop_1 tptp.k48_binop_2 tptp.k5_numbers))) (let ((_let_116 (tptp.v2_binop_1 tptp.k46_binop_2 tptp.k4_numbers))) (let ((_let_117 (tptp.v1_binop_1 tptp.k46_binop_2 tptp.k4_numbers))) (let ((_let_118 (tptp.v2_binop_1 tptp.k41_binop_2 tptp.k3_numbers))) (let ((_let_119 (tptp.v1_binop_1 tptp.k41_binop_2 tptp.k3_numbers))) (let ((_let_120 (tptp.v2_binop_1 tptp.k35_binop_2 tptp.k1_numbers))) (let ((_let_121 (tptp.v1_binop_1 tptp.k35_binop_2 tptp.k1_numbers))) (let ((_let_122 (tptp.v2_binop_1 tptp.k29_binop_2 tptp.k2_numbers))) (let ((_let_123 (tptp.v1_binop_1 tptp.k29_binop_2 tptp.k2_numbers))) (let ((_let_124 (tptp.v2_binop_1 tptp.k47_binop_2 tptp.k5_numbers))) (let ((_let_125 (tptp.v1_binop_1 tptp.k47_binop_2 tptp.k5_numbers))) (let ((_let_126 (tptp.v2_binop_1 tptp.k44_binop_2 tptp.k4_numbers))) (let ((_let_127 (tptp.v1_binop_1 tptp.k44_binop_2 tptp.k4_numbers))) (let ((_let_128 (tptp.v2_binop_1 tptp.k39_binop_2 tptp.k3_numbers))) (let ((_let_129 (tptp.v1_binop_1 tptp.k39_binop_2 tptp.k3_numbers))) (let ((_let_130 (tptp.v2_binop_1 tptp.k33_binop_2 tptp.k1_numbers))) (let ((_let_131 (tptp.v1_binop_1 tptp.k33_binop_2 tptp.k1_numbers))) (let ((_let_132 (tptp.v2_binop_1 tptp.k27_binop_2 tptp.k2_numbers))) (let ((_let_133 (tptp.v1_binop_1 tptp.k27_binop_2 tptp.k2_numbers))) (let ((_let_134 (forall ((A $$unsorted)) (= (tptp.v1_int_1 A) (tptp.r2_hidden A tptp.k4_numbers))))) (let ((_let_135 (forall ((A $$unsorted)) (= (tptp.v1_xreal_0 A) (tptp.r2_hidden A tptp.k1_numbers))))) (let ((_let_136 (= tptp.k2_numbers (tptp.k2_xboole_0 (tptp.k4_xboole_0 (tptp.k1_funct_2 (tptp.k2_tarski tptp.np__0 tptp.k13_arytm_3) tptp.k1_numbers) tptp.a_0_0_numbers) tptp.k1_numbers)))) (let ((_let_137 (= tptp.k5_numbers tptp.k5_ordinal2))) (let ((_let_138 (tptp.k1_tarski _let_49))) (let ((_let_139 (tptp.k1_tarski tptp.np__0))) (let ((_let_140 (= tptp.k4_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k5_ordinal2 (tptp.k2_zfmisc_1 _let_139 tptp.k5_ordinal2)) _let_138)))) (let ((_let_141 (= tptp.k3_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k6_arytm_3 (tptp.k2_zfmisc_1 _let_139 tptp.k6_arytm_3)) _let_138)))) (let ((_let_142 (= tptp.k1_numbers (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_139 tptp.k2_arytm_2)) _let_138)))) (let ((_let_143 (= tptp.a_0_36_fraenkel tptp.a_0_37_fraenkel))) (let ((_let_144 (tptp.r1_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel))) (let ((_let_145 (= tptp.a_0_27_fraenkel tptp.a_0_29_fraenkel))) (let ((_let_146 (= tptp.a_0_24_fraenkel tptp.a_0_26_fraenkel))) (let ((_let_147 (= tptp.a_0_21_fraenkel tptp.a_0_23_fraenkel))) (let ((_let_148 (forall ((A $$unsorted)) (= (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))))) (let ((_let_149 (forall ((A $$unsorted)) (= (tptp.k1_setwiseo A) tptp.k1_xboole_0)))) (let ((_let_150 (forall ((A $$unsorted)) (= (tptp.v4_finsub_1 A) (and (tptp.v1_finsub_1 A) (tptp.v3_finsub_1 A)))))) (let ((_let_151 (forall ((A $$unsorted)) (= (tptp.v3_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k4_xboole_0 B C) A))))))) (let ((_let_152 (forall ((A $$unsorted)) (= (tptp.v2_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k3_xboole_0 B C) A))))))) (let ((_let_153 (forall ((A $$unsorted)) (= (tptp.v1_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k2_xboole_0 B C) A))))))) (let ((_let_154 (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (= (tptp.k2_relat_1 B) A) (tptp.r2_hidden (tptp.k1_relat_1 B) tptp.k5_ordinal2))))))) (let ((_let_155 (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s4_ordinal2))) (let ((_let_156 (forall ((A $$unsorted)) (= (tptp.v4_ordinal2 A) (tptp.r2_hidden A tptp.k5_ordinal2))))) (let ((_let_157 (forall ((A $$unsorted)) (= (tptp.k6_ordinal2 A) (tptp.k1_setfam_1 (tptp.k2_ordinal2 A)))))) (let ((_let_158 (= tptp.k4_ordinal2 (tptp.k1_ordinal1 tptp.k1_xboole_0)))) (let ((_let_159 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_funct_4 A B C D) (tptp.k1_funct_4 (tptp.k2_funcop_1 (tptp.k1_tarski A) C) (tptp.k2_funcop_1 (tptp.k1_tarski B) D)))))) (let ((_let_160 (forall ((A $$unsorted)) (= (tptp.k12_funct_3 A) (tptp.k11_funct_3 A))))) (let ((_let_161 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k10_funct_3 A B) (tptp.k8_funct_3 A B))))) (let ((_let_162 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k9_funct_3 A B) (tptp.k7_funct_3 A B))))) (let ((_let_163 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_funct_3 A B) (tptp.k4_funct_3 A B))))) (let ((_let_164 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_partfun1 A B (tptp.k3_partfun1 tptp.k1_xboole_0 A B)) (tptp.k1_funct_2 A B))))) (let ((_let_165 (forall ((A $$unsorted)) (= (tptp.k20_mcart_1 A) (tptp.k2_mcart_1 (tptp.k2_mcart_1 A)))))) (let ((_let_166 (forall ((A $$unsorted)) (= (tptp.k19_mcart_1 A) (tptp.k1_mcart_1 (tptp.k2_mcart_1 A)))))) (let ((_let_167 (forall ((A $$unsorted)) (= (tptp.k18_mcart_1 A) (tptp.k2_mcart_1 (tptp.k1_mcart_1 A)))))) (let ((_let_168 (forall ((A $$unsorted)) (= (tptp.k17_mcart_1 A) (tptp.k1_mcart_1 (tptp.k1_mcart_1 A)))))) (let ((_let_169 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_mcart_1 A B C D) (tptp.k4_tarski (tptp.k3_mcart_1 A B C) D))))) (let ((_let_170 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_mcart_1 A B C) (tptp.k4_tarski (tptp.k4_tarski A B) C))))) (let ((_let_171 (forall ((A $$unsorted)) (= (tptp.k6_partfun1 A) (tptp.k6_relat_1 A))))) (let ((_let_172 (= (tptp.k2_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0))) (let ((_let_173 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m2_relset_1 C A B) (tptp.m1_relset_1 C A B))))) (let ((_let_174 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.m1_relset_1 C A B) (tptp.r1_tarski C (tptp.k2_zfmisc_1 A B)))))) (let ((_let_175 (forall ((A $$unsorted)) (= (tptp.v6_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r3_xboole_0 B C))))))) (let ((_let_176 (forall ((A $$unsorted)) (= (tptp.v4_ordinal1 A) (= A (tptp.k3_tarski A)))))) (let ((_let_177 (tptp.v3_ordinal1 tptp.k1_xboole_0))) (let ((_let_178 (forall ((A $$unsorted)) (= (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A)))))) (let ((_let_179 (forall ((A $$unsorted)) (= (tptp.v2_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (tptp.r2_hidden B C)) (not (= B C)) (not (tptp.r2_hidden C B))))))))) (let ((_let_180 (forall ((A $$unsorted)) (= (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.r1_tarski B A))))))) (let ((_let_181 (forall ((A $$unsorted)) (= (tptp.k1_ordinal1 A) (tptp.k2_xboole_0 A (tptp.k1_tarski A)))))) (let ((_let_182 (forall ((A $$unsorted)) (= (tptp.v1_funct_1 A) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k4_tarski B C) A) (tptp.r2_hidden (tptp.k4_tarski B D) A)) (= C D))))))) (let ((_let_183 (forall ((A $$unsorted)) (= (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k4_tarski C D))))))))))) (let ((_let_184 (forall ((A $$unsorted)) (= (tptp.v2_setfam_1 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.r2_hidden B A)))))))) (let ((_let_185 (forall ((A $$unsorted)) (= (tptp.v1_setfam_1 A) (not (tptp.r2_hidden tptp.k1_xboole_0 A)))))) (let ((_let_186 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_setfam_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (tptp.r1_tarski D C))))))))))) (let ((_let_187 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_setfam_1 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (tptp.r1_tarski C D))))))))))) (let ((_let_188 (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) A)))) (let ((_let_189 (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) tptp.k1_xboole_0)))) (let ((_let_190 (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A (tptp.k1_tarski B)) A) (not (tptp.r2_hidden B A)))))) (let ((_let_191 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.k2_zfmisc_1 (tptp.k3_zfmisc_1 A B C) D))))) (let ((_let_192 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_zfmisc_1 A B C) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C))))) (let ((_let_193 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k5_enumset1 B C D E F G H)))))) (let ((_let_194 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k4_enumset1 B C D E F G)))))) (let ((_let_195 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k3_enumset1 B C D E F)))))) (let ((_let_196 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_enumset1 A B C D E) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k2_enumset1 B C D E)))))) (let ((_let_197 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k1_enumset1 B C D)))))) (let ((_let_198 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k2_tarski B C)))))) (let ((_let_199 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)))))) (let ((_let_200 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k4_xboole_0 A B)) (tptp.k3_xboole_0 A B))))) (let ((_let_201 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r3_xboole_0 A B) (or (tptp.r1_tarski A B) (tptp.r1_tarski B A)))))) (let ((_let_202 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_xboole_0 A B) (and (tptp.r1_tarski A B) (not (= A B))))))) (let ((_let_203 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_xboole_0 A B) (= (tptp.k3_xboole_0 A B) tptp.k1_xboole_0))))) (let ((_let_204 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)))))) (let ((_let_205 (forall ((A $$unsorted)) (= (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))))) (let ((_let_206 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_tarski A B) (exists ((C $$unsorted)) (and (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D A) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden (tptp.k4_tarski D E) C))))))) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (tptp.r2_hidden (tptp.k4_tarski E D) C))))))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k4_tarski D E) C) (tptp.r2_hidden (tptp.k4_tarski F G) C)) (= (= D F) (= E G)))))))))) (let ((_let_207 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_tarski A B) (tptp.k2_tarski (tptp.k2_tarski A B) (tptp.k1_tarski A)))))) (let ((_let_208 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))) (let ((_let_209 (tptp.v1_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_210 (tptp.m1_filter_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_211 (and _let_210 _let_209))) (let ((_let_212 (tptp.k1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146))) (let ((_let_213 (tptp.k7_lopclset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_214 (= _let_213 (tptp.k4_xboole_0 _let_213 _let_212)))) (let ((_let_215 (not _let_214))) (let ((_let_216 (= _let_215 _let_211))) (let ((_let_217 (not _let_211))) (let ((_let_218 (tptp.l3_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_219 (not _let_218))) (let ((_let_220 (tptp.v3_realset2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_221 (tptp.v17_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_222 (not _let_221))) (let ((_let_223 (tptp.v10_lattices SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_224 (not _let_223))) (let ((_let_225 (tptp.v3_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144))) (let ((_let_226 (or _let_225 _let_224 _let_222 _let_220 _let_219 _let_216))) (let ((_let_227 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_lopclset B))) (or (tptp.v3_struct_0 B) (not (tptp.v10_lattices B)) (not (tptp.v17_lattices B)) (tptp.v3_realset2 B) (not (tptp.l3_lattices B)) (= (and (tptp.m1_filter_0 A B) (tptp.v1_filter_0 A B)) (not (= _let_1 (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski A)))))))))) (let ((_let_228 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_208)) (MACRO_SR_EQ_INTRO :args (_let_208 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r1_tarski (lambda ((BOUND_VARIABLE_276923 $$unsorted) (BOUND_VARIABLE_276924 $$unsorted)) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_276923)) (tptp.r2_hidden C BOUND_VARIABLE_276924))))))))) (let ((_let_229 (TRUST_SUBS_EQ (ASSUME :args (_let_207)) :args ((= tptp.k4_tarski (lambda ((BOUND_VARIABLE_276936 $$unsorted) (BOUND_VARIABLE_276937 $$unsorted)) (tptp.k2_tarski (tptp.k2_tarski BOUND_VARIABLE_276936 BOUND_VARIABLE_276937) (tptp.k1_tarski BOUND_VARIABLE_276936)))))))) (let ((_let_230 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_206)) (MACRO_SR_EQ_INTRO :args (_let_206 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_229 _let_228) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_tarski A B) (not (forall ((C $$unsorted)) (or (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D A)) (not (forall ((E $$unsorted)) (or (not (tptp.r2_hidden E B)) (not (tptp.r2_hidden (tptp.k4_tarski D E) C)))))))) (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D B)) (not (forall ((E $$unsorted)) (or (not (tptp.r2_hidden E A)) (not (tptp.r2_hidden (tptp.k4_tarski E D) C)))))))) (not (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (or (not (tptp.r2_hidden (tptp.k4_tarski D E) C)) (not (tptp.r2_hidden (tptp.k4_tarski F G) C)) (= (= D F) (= E G)))))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r2_tarski (lambda ((BOUND_VARIABLE_277020 $$unsorted) (BOUND_VARIABLE_277021 $$unsorted)) (not (forall ((C $$unsorted)) (or (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D BOUND_VARIABLE_277020)) (not (forall ((E $$unsorted)) (or (not (tptp.r2_hidden E BOUND_VARIABLE_277021)) (not (tptp.r2_hidden (tptp.k2_tarski (tptp.k2_tarski D E) (tptp.k1_tarski D)) C)))))))) (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D BOUND_VARIABLE_277021)) (not (forall ((E $$unsorted)) (or (not (tptp.r2_hidden E BOUND_VARIABLE_277020)) (not (tptp.r2_hidden (tptp.k2_tarski (tptp.k2_tarski E D) (tptp.k1_tarski E)) C)))))))) (not (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (or (not (tptp.r2_hidden (tptp.k2_tarski (tptp.k2_tarski D E) (tptp.k1_tarski D)) C)) (not (tptp.r2_hidden (tptp.k2_tarski (tptp.k2_tarski F G) (tptp.k1_tarski F)) C)) (= (= D F) (= E G)))))))))))))) (let ((_let_231 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_205)) (MACRO_SR_EQ_INTRO :args (_let_205 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_xboole_0 (lambda ((BOUND_VARIABLE_277146 $$unsorted)) (= tptp.k1_xboole_0 BOUND_VARIABLE_277146))))))) (let ((_let_232 (TRUST_SUBS_EQ (ASSUME :args (_let_204)) :args ((= tptp.k5_xboole_0 (lambda ((BOUND_VARIABLE_277152 $$unsorted) (BOUND_VARIABLE_277153 $$unsorted)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 BOUND_VARIABLE_277152 BOUND_VARIABLE_277153) (tptp.k4_xboole_0 BOUND_VARIABLE_277153 BOUND_VARIABLE_277152)))))))) (let ((_let_233 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_203)) (MACRO_SR_EQ_INTRO :args (_let_203 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r1_xboole_0 (lambda ((BOUND_VARIABLE_277163 $$unsorted) (BOUND_VARIABLE_277164 $$unsorted)) (= tptp.k1_xboole_0 (tptp.k3_xboole_0 BOUND_VARIABLE_277163 BOUND_VARIABLE_277164)))))))) (let ((_let_234 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_202)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_202 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r2_xboole_0 (lambda ((BOUND_VARIABLE_277186 $$unsorted) (BOUND_VARIABLE_277187 $$unsorted)) (and (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_277186)) (tptp.r2_hidden C BOUND_VARIABLE_277187))) (not (= BOUND_VARIABLE_277186 BOUND_VARIABLE_277187))))))))) (let ((_let_235 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_201)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_201 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r3_xboole_0 (lambda ((BOUND_VARIABLE_277218 $$unsorted) (BOUND_VARIABLE_277219 $$unsorted)) (or (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_277218)) (tptp.r2_hidden C BOUND_VARIABLE_277219))) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C BOUND_VARIABLE_277219)) (tptp.r2_hidden C BOUND_VARIABLE_277218)))))))))) (let ((_let_236 (TRUST_SUBS_EQ (ASSUME :args (_let_200)) :args ((= tptp.k3_xboole_0 (lambda ((BOUND_VARIABLE_278231 $$unsorted) (BOUND_VARIABLE_278232 $$unsorted)) (tptp.k4_xboole_0 BOUND_VARIABLE_278231 (tptp.k4_xboole_0 BOUND_VARIABLE_278231 BOUND_VARIABLE_278232)))))))) (let ((_let_237 (TRUST_SUBS_EQ (ASSUME :args (_let_199)) :args ((= tptp.k2_tarski (lambda ((BOUND_VARIABLE_279692 $$unsorted) (BOUND_VARIABLE_279693 $$unsorted)) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279692) (tptp.k1_tarski BOUND_VARIABLE_279693)))))))) (let ((_let_238 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_198)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_198 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k1_enumset1 (lambda ((BOUND_VARIABLE_279714 $$unsorted) (BOUND_VARIABLE_279715 $$unsorted) (BOUND_VARIABLE_279716 $$unsorted)) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279714) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279715) (tptp.k1_tarski BOUND_VARIABLE_279716))))))))) (let ((_let_239 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_197)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_197 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k2_enumset1 (lambda ((BOUND_VARIABLE_279757 $$unsorted) (BOUND_VARIABLE_279758 $$unsorted) (BOUND_VARIABLE_279759 $$unsorted) (BOUND_VARIABLE_279760 $$unsorted)) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279757) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279758) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279759) (tptp.k1_tarski BOUND_VARIABLE_279760)))))))))) (let ((_let_240 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_196)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_196 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k3_enumset1 (lambda ((BOUND_VARIABLE_279828 $$unsorted) (BOUND_VARIABLE_279829 $$unsorted) (BOUND_VARIABLE_279830 $$unsorted) (BOUND_VARIABLE_279831 $$unsorted) (BOUND_VARIABLE_279832 $$unsorted)) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279828) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279829) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279830) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279831) (tptp.k1_tarski BOUND_VARIABLE_279832))))))))))) (let ((_let_241 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_195)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_195 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k4_enumset1 (lambda ((BOUND_VARIABLE_279932 $$unsorted) (BOUND_VARIABLE_279933 $$unsorted) (BOUND_VARIABLE_279934 $$unsorted) (BOUND_VARIABLE_279935 $$unsorted) (BOUND_VARIABLE_279936 $$unsorted) (BOUND_VARIABLE_279937 $$unsorted)) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279932) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279933) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279934) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279935) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_279936) (tptp.k1_tarski BOUND_VARIABLE_279937)))))))))))) (let ((_let_242 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_194)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_194 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k5_enumset1 (lambda ((BOUND_VARIABLE_280074 $$unsorted) (BOUND_VARIABLE_280075 $$unsorted) (BOUND_VARIABLE_280076 $$unsorted) (BOUND_VARIABLE_280077 $$unsorted) (BOUND_VARIABLE_280078 $$unsorted) (BOUND_VARIABLE_280079 $$unsorted) (BOUND_VARIABLE_280080 $$unsorted)) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280074) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280075) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280076) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280077) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280078) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280079) (tptp.k1_tarski BOUND_VARIABLE_280080))))))))))))) (let ((_let_243 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_193)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_193 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k6_enumset1 (lambda ((BOUND_VARIABLE_280259 $$unsorted) (BOUND_VARIABLE_280260 $$unsorted) (BOUND_VARIABLE_280261 $$unsorted) (BOUND_VARIABLE_280262 $$unsorted) (BOUND_VARIABLE_280263 $$unsorted) (BOUND_VARIABLE_280264 $$unsorted) (BOUND_VARIABLE_280265 $$unsorted) (BOUND_VARIABLE_280266 $$unsorted)) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280259) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280260) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280261) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280262) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280263) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280264) (tptp.k2_xboole_0 (tptp.k1_tarski BOUND_VARIABLE_280265) (tptp.k1_tarski BOUND_VARIABLE_280266)))))))))))))) (let ((_let_244 (TRUST_SUBS_EQ (ASSUME :args (_let_192)) :args ((= tptp.k3_zfmisc_1 (lambda ((BOUND_VARIABLE_281295 $$unsorted) (BOUND_VARIABLE_281296 $$unsorted) (BOUND_VARIABLE_281297 $$unsorted)) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 BOUND_VARIABLE_281295 BOUND_VARIABLE_281296) BOUND_VARIABLE_281297))))))) (let ((_let_245 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_191)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_191 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k4_zfmisc_1 (lambda ((BOUND_VARIABLE_281318 $$unsorted) (BOUND_VARIABLE_281319 $$unsorted) (BOUND_VARIABLE_281320 $$unsorted) (BOUND_VARIABLE_281321 $$unsorted)) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 BOUND_VARIABLE_281318 BOUND_VARIABLE_281319) BOUND_VARIABLE_281320) BOUND_VARIABLE_281321))))))) (let ((_let_246 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_190)) (MACRO_SR_EQ_INTRO :args (_let_190 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r2_hidden (lambda ((BOUND_VARIABLE_282039 $$unsorted) (BOUND_VARIABLE_282040 $$unsorted)) (not (= BOUND_VARIABLE_282040 (tptp.k4_xboole_0 BOUND_VARIABLE_282040 (tptp.k1_tarski BOUND_VARIABLE_282039)))))))))) (let ((_let_247 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_189)) (MACRO_SR_EQ_INTRO :args (_let_189 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k1_subset_1 (lambda ((BOUND_VARIABLE_284374 $$unsorted)) tptp.k1_xboole_0)))))) (let ((_let_248 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_188)) (MACRO_SR_EQ_INTRO :args (_let_188 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k2_subset_1 (lambda ((BOUND_VARIABLE_284379 $$unsorted)) BOUND_VARIABLE_284379)))))) (let ((_let_249 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_187)) (MACRO_SR_EQ_INTRO :args (_let_187 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_setfam_1 A B) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C A)) (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D B)) (not (tptp.r1_tarski C D))))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r1_setfam_1 (lambda ((BOUND_VARIABLE_285994 $$unsorted) (BOUND_VARIABLE_285995 $$unsorted)) (forall ((C $$unsorted)) (or (= BOUND_VARIABLE_285994 (tptp.k4_xboole_0 BOUND_VARIABLE_285994 (tptp.k1_tarski C))) (not (forall ((D $$unsorted)) (or (= BOUND_VARIABLE_285995 (tptp.k4_xboole_0 BOUND_VARIABLE_285995 (tptp.k1_tarski D))) (not (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (or (= C (tptp.k4_xboole_0 C _let_1)) (not (= D (tptp.k4_xboole_0 D _let_1)))))))))))))))))) (let ((_let_250 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_186)) (MACRO_SR_EQ_INTRO :args (_let_186 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_setfam_1 A B) (forall ((C $$unsorted)) (or (not (tptp.r2_hidden C B)) (not (forall ((D $$unsorted)) (or (not (tptp.r2_hidden D A)) (not (tptp.r1_tarski D C))))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r2_setfam_1 (lambda ((BOUND_VARIABLE_286057 $$unsorted) (BOUND_VARIABLE_286058 $$unsorted)) (forall ((C $$unsorted)) (or (= BOUND_VARIABLE_286058 (tptp.k4_xboole_0 BOUND_VARIABLE_286058 (tptp.k1_tarski C))) (not (forall ((D $$unsorted)) (or (= BOUND_VARIABLE_286057 (tptp.k4_xboole_0 BOUND_VARIABLE_286057 (tptp.k1_tarski D))) (not (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (or (= D (tptp.k4_xboole_0 D _let_1)) (not (= C (tptp.k4_xboole_0 C _let_1)))))))))))))))))) (let ((_let_251 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_185)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_185 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_setfam_1 (lambda ((BOUND_VARIABLE_286860 $$unsorted)) (= BOUND_VARIABLE_286860 (tptp.k4_xboole_0 BOUND_VARIABLE_286860 (tptp.k1_tarski tptp.k1_xboole_0))))))))) (let ((_let_252 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_184)) (MACRO_SR_EQ_INTRO :args (_let_184 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v2_setfam_1 A) (forall ((B $$unsorted)) (or (tptp.v1_xboole_0 B) (not (tptp.r2_hidden B A)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v2_setfam_1 (lambda ((BOUND_VARIABLE_287088 $$unsorted)) (forall ((B $$unsorted)) (or (= tptp.k1_xboole_0 B) (= BOUND_VARIABLE_287088 (tptp.k4_xboole_0 BOUND_VARIABLE_287088 (tptp.k1_tarski B))))))))))) (let ((_let_253 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_183)) (MACRO_SR_EQ_INTRO :args (_let_183 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (not (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k4_tarski C D))))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_relat_1 (lambda ((BOUND_VARIABLE_287381 $$unsorted)) (forall ((B $$unsorted)) (or (= BOUND_VARIABLE_287381 (tptp.k4_xboole_0 BOUND_VARIABLE_287381 (tptp.k1_tarski B))) (not (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (not (= B (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski D))) (tptp.k1_tarski _let_1))))))))))))))) (let ((_let_254 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_182)) (MACRO_SR_EQ_INTRO :args (_let_182 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v1_funct_1 A) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.r2_hidden (tptp.k4_tarski B C) A)) (not (tptp.r2_hidden (tptp.k4_tarski B D) A)) (= C D))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_funct_1 (lambda ((BOUND_VARIABLE_293777 $$unsorted)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski _let_1))) (or (= BOUND_VARIABLE_293777 (tptp.k4_xboole_0 BOUND_VARIABLE_293777 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski C))) _let_2)))) (= BOUND_VARIABLE_293777 (tptp.k4_xboole_0 BOUND_VARIABLE_293777 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski D))) _let_2)))) (= C D))))))))))) (let ((_let_255 (TRUST_SUBS_EQ (ASSUME :args (_let_181)) :args ((= tptp.k1_ordinal1 (lambda ((BOUND_VARIABLE_299355 $$unsorted)) (tptp.k2_xboole_0 BOUND_VARIABLE_299355 (tptp.k1_tarski BOUND_VARIABLE_299355)))))))) (let ((_let_256 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_180)) (MACRO_SR_EQ_INTRO :args (_let_180 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.r1_tarski B A))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_ordinal1 (lambda ((BOUND_VARIABLE_299464 $$unsorted)) (forall ((B $$unsorted) (BOUND_VARIABLE_299448 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_299448))) (or (= BOUND_VARIABLE_299464 (tptp.k4_xboole_0 BOUND_VARIABLE_299464 (tptp.k1_tarski B))) (= B (tptp.k4_xboole_0 B _let_1)) (not (= BOUND_VARIABLE_299464 (tptp.k4_xboole_0 BOUND_VARIABLE_299464 _let_1)))))))))))) (let ((_let_257 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_179)) (MACRO_SR_EQ_INTRO :args (_let_179 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v2_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden B A)) (not (tptp.r2_hidden C A)) (tptp.r2_hidden B C) (= B C) (tptp.r2_hidden C B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v2_ordinal1 (lambda ((BOUND_VARIABLE_299507 $$unsorted)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k1_tarski B))) (or (= BOUND_VARIABLE_299507 (tptp.k4_xboole_0 BOUND_VARIABLE_299507 _let_2)) (= BOUND_VARIABLE_299507 (tptp.k4_xboole_0 BOUND_VARIABLE_299507 _let_1)) (not (= C (tptp.k4_xboole_0 C _let_2))) (= B C) (not (= B (tptp.k4_xboole_0 B _let_1))))))))))))) (let ((_let_258 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_178)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_178 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v3_ordinal1 (lambda ((BOUND_VARIABLE_299540 $$unsorted)) (and (forall ((B $$unsorted) (BOUND_VARIABLE_299448 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_299448))) (or (= BOUND_VARIABLE_299540 (tptp.k4_xboole_0 BOUND_VARIABLE_299540 (tptp.k1_tarski B))) (= B (tptp.k4_xboole_0 B _let_1)) (not (= BOUND_VARIABLE_299540 (tptp.k4_xboole_0 BOUND_VARIABLE_299540 _let_1)))))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k1_tarski B))) (or (= BOUND_VARIABLE_299540 (tptp.k4_xboole_0 BOUND_VARIABLE_299540 _let_2)) (= BOUND_VARIABLE_299540 (tptp.k4_xboole_0 BOUND_VARIABLE_299540 _let_1)) (not (= C (tptp.k4_xboole_0 C _let_2))) (= B C) (not (= B (tptp.k4_xboole_0 B _let_1)))))))))))))) (let ((_let_259 (TRUST_SUBS_EQ (ASSUME :args (_let_176)) :args ((= tptp.v4_ordinal1 (lambda ((BOUND_VARIABLE_300988 $$unsorted)) (= BOUND_VARIABLE_300988 (tptp.k3_tarski BOUND_VARIABLE_300988)))))))) (let ((_let_260 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_175)) (MACRO_SR_EQ_INTRO :args (_let_175 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v6_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden B A)) (not (tptp.r2_hidden C A)) (tptp.r3_xboole_0 B C))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v6_ordinal1 (lambda ((BOUND_VARIABLE_301409 $$unsorted)) (forall ((B $$unsorted) (C $$unsorted) (BOUND_VARIABLE_301393 $$unsorted) (BOUND_VARIABLE_301384 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_301393))) (let ((_let_2 (tptp.k1_tarski BOUND_VARIABLE_301384))) (or (= BOUND_VARIABLE_301409 (tptp.k4_xboole_0 BOUND_VARIABLE_301409 (tptp.k1_tarski B))) (= BOUND_VARIABLE_301409 (tptp.k4_xboole_0 BOUND_VARIABLE_301409 (tptp.k1_tarski C))) (= B (tptp.k4_xboole_0 B _let_2)) (not (= C (tptp.k4_xboole_0 C _let_2))) (= C (tptp.k4_xboole_0 C _let_1)) (not (= B (tptp.k4_xboole_0 B _let_1))))))))))))) (let ((_let_261 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_174)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_174 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.m1_relset_1 (lambda ((BOUND_VARIABLE_301978 $$unsorted) (BOUND_VARIABLE_301979 $$unsorted) (BOUND_VARIABLE_301980 $$unsorted)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 BOUND_VARIABLE_301979 BOUND_VARIABLE_301980))) (or (= BOUND_VARIABLE_301978 (tptp.k4_xboole_0 BOUND_VARIABLE_301978 _let_1)) (not (= _let_2 (tptp.k4_xboole_0 _let_2 _let_1))))))))))))) (let ((_let_262 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_173)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_173 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.m2_relset_1 (lambda ((BOUND_VARIABLE_303077 $$unsorted) (BOUND_VARIABLE_303078 $$unsorted) (BOUND_VARIABLE_303079 $$unsorted)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 BOUND_VARIABLE_303078 BOUND_VARIABLE_303079))) (or (= BOUND_VARIABLE_303077 (tptp.k4_xboole_0 BOUND_VARIABLE_303077 _let_1)) (not (= _let_2 (tptp.k4_xboole_0 _let_2 _let_1))))))))))))) (let ((_let_263 (TRUST_SUBS_EQ (ASSUME :args (_let_171)) :args ((= tptp.k6_partfun1 (lambda ((BOUND_VARIABLE_309723 $$unsorted)) (tptp.k6_relat_1 BOUND_VARIABLE_309723))))))) (let ((_let_264 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_170)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_170 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k3_mcart_1 (lambda ((BOUND_VARIABLE_310589 $$unsorted) (BOUND_VARIABLE_310590 $$unsorted) (BOUND_VARIABLE_310591 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_310589))) (let ((_let_2 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski BOUND_VARIABLE_310590))) (tptp.k1_tarski _let_1))))) (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_2 (tptp.k1_tarski BOUND_VARIABLE_310591))) (tptp.k1_tarski _let_2)))))))))) (let ((_let_265 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_169)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_169 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k4_mcart_1 (lambda ((BOUND_VARIABLE_310731 $$unsorted) (BOUND_VARIABLE_310732 $$unsorted) (BOUND_VARIABLE_310733 $$unsorted) (BOUND_VARIABLE_310734 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_310731))) (let ((_let_2 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski BOUND_VARIABLE_310732))) (tptp.k1_tarski _let_1))))) (let ((_let_3 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_2 (tptp.k1_tarski BOUND_VARIABLE_310733))) (tptp.k1_tarski _let_2))))) (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_3 (tptp.k1_tarski BOUND_VARIABLE_310734))) (tptp.k1_tarski _let_3))))))))))) (let ((_let_266 (TRUST_SUBS_EQ (ASSUME :args (_let_168)) :args ((= tptp.k17_mcart_1 (lambda ((BOUND_VARIABLE_313377 $$unsorted)) (tptp.k1_mcart_1 (tptp.k1_mcart_1 BOUND_VARIABLE_313377)))))))) (let ((_let_267 (TRUST_SUBS_EQ (ASSUME :args (_let_167)) :args ((= tptp.k18_mcart_1 (lambda ((BOUND_VARIABLE_313384 $$unsorted)) (tptp.k2_mcart_1 (tptp.k1_mcart_1 BOUND_VARIABLE_313384)))))))) (let ((_let_268 (TRUST_SUBS_EQ (ASSUME :args (_let_166)) :args ((= tptp.k19_mcart_1 (lambda ((BOUND_VARIABLE_313391 $$unsorted)) (tptp.k1_mcart_1 (tptp.k2_mcart_1 BOUND_VARIABLE_313391)))))))) (let ((_let_269 (TRUST_SUBS_EQ (ASSUME :args (_let_165)) :args ((= tptp.k20_mcart_1 (lambda ((BOUND_VARIABLE_313398 $$unsorted)) (tptp.k2_mcart_1 (tptp.k2_mcart_1 BOUND_VARIABLE_313398)))))))) (let ((_let_270 (TRUST_SUBS_EQ (ASSUME :args (_let_164)) :args ((= tptp.k1_funct_2 (lambda ((BOUND_VARIABLE_318967 $$unsorted) (BOUND_VARIABLE_318968 $$unsorted)) (tptp.k5_partfun1 BOUND_VARIABLE_318967 BOUND_VARIABLE_318968 (tptp.k3_partfun1 tptp.k1_xboole_0 BOUND_VARIABLE_318967 BOUND_VARIABLE_318968)))))))) (let ((_let_271 (TRUST_SUBS_EQ (ASSUME :args (_let_163)) :args ((= tptp.k5_funct_3 (lambda ((BOUND_VARIABLE_324738 $$unsorted) (BOUND_VARIABLE_324739 $$unsorted)) (tptp.k4_funct_3 BOUND_VARIABLE_324738 BOUND_VARIABLE_324739))))))) (let ((_let_272 (TRUST_SUBS_EQ (ASSUME :args (_let_162)) :args ((= tptp.k9_funct_3 (lambda ((BOUND_VARIABLE_324877 $$unsorted) (BOUND_VARIABLE_324878 $$unsorted)) (tptp.k7_funct_3 BOUND_VARIABLE_324877 BOUND_VARIABLE_324878))))))) (let ((_let_273 (TRUST_SUBS_EQ (ASSUME :args (_let_161)) :args ((= tptp.k10_funct_3 (lambda ((BOUND_VARIABLE_324912 $$unsorted) (BOUND_VARIABLE_324913 $$unsorted)) (tptp.k8_funct_3 BOUND_VARIABLE_324912 BOUND_VARIABLE_324913))))))) (let ((_let_274 (TRUST_SUBS_EQ (ASSUME :args (_let_160)) :args ((= tptp.k12_funct_3 (lambda ((BOUND_VARIABLE_324969 $$unsorted)) (tptp.k11_funct_3 BOUND_VARIABLE_324969))))))) (let ((_let_275 (TRUST_SUBS_EQ (ASSUME :args (_let_159)) :args ((= tptp.k4_funct_4 (lambda ((BOUND_VARIABLE_330662 $$unsorted) (BOUND_VARIABLE_330663 $$unsorted) (BOUND_VARIABLE_330664 $$unsorted) (BOUND_VARIABLE_330665 $$unsorted)) (tptp.k1_funct_4 (tptp.k2_funcop_1 (tptp.k1_tarski BOUND_VARIABLE_330662) BOUND_VARIABLE_330664) (tptp.k2_funcop_1 (tptp.k1_tarski BOUND_VARIABLE_330663) BOUND_VARIABLE_330665)))))))) (let ((_let_276 (EQ_RESOLVE (ASSUME :args (_let_158)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_158 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_277 (TRUST_SUBS_EQ (ASSUME :args (_let_157)) :args ((= tptp.k6_ordinal2 (lambda ((BOUND_VARIABLE_332948 $$unsorted)) (tptp.k1_setfam_1 (tptp.k2_ordinal2 BOUND_VARIABLE_332948)))))))) (let ((_let_278 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_156)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_156 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v4_ordinal2 (lambda ((BOUND_VARIABLE_336249 $$unsorted)) (not (= tptp.k5_ordinal2 (tptp.k4_xboole_0 tptp.k5_ordinal2 (tptp.k1_tarski BOUND_VARIABLE_336249)))))))))) (let ((_let_279 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_154)) (MACRO_SR_EQ_INTRO :args (_let_154 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (not (forall ((B $$unsorted)) (or (not (tptp.v1_relat_1 B)) (not (tptp.v1_funct_1 B)) (not (= A (tptp.k2_relat_1 B))) (not (tptp.r2_hidden (tptp.k1_relat_1 B) tptp.k5_ordinal2))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_finset_1 (lambda ((BOUND_VARIABLE_338059 $$unsorted)) (not (forall ((B $$unsorted)) (or (not (forall ((B $$unsorted)) (or (= B (tptp.k4_xboole_0 B (tptp.k1_tarski B))) (not (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (not (= B (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski D))) (tptp.k1_tarski _let_1)))))))))) (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski _let_1))) (or (= B (tptp.k4_xboole_0 B (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski C))) _let_2)))) (= B (tptp.k4_xboole_0 B (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski D))) _let_2)))) (= C D)))))) (not (= BOUND_VARIABLE_338059 (tptp.k2_relat_1 B))) (= tptp.k5_ordinal2 (tptp.k4_xboole_0 tptp.k5_ordinal2 (tptp.k1_tarski (tptp.k1_relat_1 B))))))))))))) (let ((_let_280 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_153)) (MACRO_SR_EQ_INTRO :args (_let_153 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v1_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden B A)) (not (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k2_xboole_0 B C) A))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_finsub_1 (lambda ((BOUND_VARIABLE_340012 $$unsorted)) (forall ((B $$unsorted) (C $$unsorted)) (or (= BOUND_VARIABLE_340012 (tptp.k4_xboole_0 BOUND_VARIABLE_340012 (tptp.k1_tarski B))) (= BOUND_VARIABLE_340012 (tptp.k4_xboole_0 BOUND_VARIABLE_340012 (tptp.k1_tarski C))) (not (= BOUND_VARIABLE_340012 (tptp.k4_xboole_0 BOUND_VARIABLE_340012 (tptp.k1_tarski (tptp.k2_xboole_0 B C))))))))))))) (let ((_let_281 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_152)) (MACRO_SR_EQ_INTRO :args (_let_152 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v2_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden B A)) (not (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k3_xboole_0 B C) A))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v2_finsub_1 (lambda ((BOUND_VARIABLE_340058 $$unsorted)) (forall ((B $$unsorted) (C $$unsorted)) (or (= BOUND_VARIABLE_340058 (tptp.k4_xboole_0 BOUND_VARIABLE_340058 (tptp.k1_tarski B))) (= BOUND_VARIABLE_340058 (tptp.k4_xboole_0 BOUND_VARIABLE_340058 (tptp.k1_tarski C))) (not (= BOUND_VARIABLE_340058 (tptp.k4_xboole_0 BOUND_VARIABLE_340058 (tptp.k1_tarski (tptp.k4_xboole_0 B (tptp.k4_xboole_0 B C)))))))))))))) (let ((_let_282 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_151)) (MACRO_SR_EQ_INTRO :args (_let_151 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v3_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.r2_hidden B A)) (not (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k4_xboole_0 B C) A))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v3_finsub_1 (lambda ((BOUND_VARIABLE_340100 $$unsorted)) (forall ((B $$unsorted) (C $$unsorted)) (or (= BOUND_VARIABLE_340100 (tptp.k4_xboole_0 BOUND_VARIABLE_340100 (tptp.k1_tarski B))) (= BOUND_VARIABLE_340100 (tptp.k4_xboole_0 BOUND_VARIABLE_340100 (tptp.k1_tarski C))) (not (= BOUND_VARIABLE_340100 (tptp.k4_xboole_0 BOUND_VARIABLE_340100 (tptp.k1_tarski (tptp.k4_xboole_0 B C))))))))))))) (let ((_let_283 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_150)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_150 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v4_finsub_1 (lambda ((BOUND_VARIABLE_340141 $$unsorted)) (and (forall ((B $$unsorted) (C $$unsorted)) (or (= BOUND_VARIABLE_340141 (tptp.k4_xboole_0 BOUND_VARIABLE_340141 (tptp.k1_tarski B))) (= BOUND_VARIABLE_340141 (tptp.k4_xboole_0 BOUND_VARIABLE_340141 (tptp.k1_tarski C))) (not (= BOUND_VARIABLE_340141 (tptp.k4_xboole_0 BOUND_VARIABLE_340141 (tptp.k1_tarski (tptp.k2_xboole_0 B C))))))) (forall ((B $$unsorted) (C $$unsorted)) (or (= BOUND_VARIABLE_340141 (tptp.k4_xboole_0 BOUND_VARIABLE_340141 (tptp.k1_tarski B))) (= BOUND_VARIABLE_340141 (tptp.k4_xboole_0 BOUND_VARIABLE_340141 (tptp.k1_tarski C))) (not (= BOUND_VARIABLE_340141 (tptp.k4_xboole_0 BOUND_VARIABLE_340141 (tptp.k1_tarski (tptp.k4_xboole_0 B C)))))))))))))) (let ((_let_284 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_149)) (MACRO_SR_EQ_INTRO :args (_let_149 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k1_setwiseo (lambda ((BOUND_VARIABLE_342160 $$unsorted)) tptp.k1_xboole_0)))))) (let ((_let_285 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_148)) (MACRO_SR_EQ_INTRO :args (_let_148 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_fraenkel (lambda ((BOUND_VARIABLE_345060 $$unsorted)) (forall ((B $$unsorted) (BOUND_VARIABLE_345026 $$unsorted) (BOUND_VARIABLE_345024 $$unsorted) (BOUND_VARIABLE_345022 $$unsorted) (BOUND_VARIABLE_345012 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_345022))) (let ((_let_2 (tptp.k1_tarski _let_1))) (or (= BOUND_VARIABLE_345060 (tptp.k4_xboole_0 BOUND_VARIABLE_345060 (tptp.k1_tarski B))) (and (or (= B (tptp.k4_xboole_0 B (tptp.k1_tarski BOUND_VARIABLE_345012))) (not (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (not (= (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski D))) (tptp.k1_tarski _let_1)) BOUND_VARIABLE_345012)))))) (or (= B (tptp.k4_xboole_0 B (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski BOUND_VARIABLE_345024))) _let_2)))) (= B (tptp.k4_xboole_0 B (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski BOUND_VARIABLE_345026))) _let_2)))) (= BOUND_VARIABLE_345024 BOUND_VARIABLE_345026))))))))))))) (let ((_let_286 (SYMM (ASSUME :args (_let_147))))) (let ((_let_287 (SYMM (ASSUME :args (_let_146))))) (let ((_let_288 (SYMM (ASSUME :args (_let_145))))) (let ((_let_289 (EQ_RESOLVE (ASSUME :args (_let_144)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_144 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_290 (SYMM (ASSUME :args (_let_143))))) (let ((_let_291 (EQ_RESOLVE (ASSUME :args (_let_142)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_142 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_292 (EQ_RESOLVE (ASSUME :args (_let_141)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_141 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_293 (EQ_RESOLVE (ASSUME :args (_let_140)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_140 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_294 (SYMM (ASSUME :args (_let_137))))) (let ((_let_295 (EQ_RESOLVE (ASSUME :args (_let_136)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_136 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_296 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_135)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_135 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_xreal_0 (lambda ((BOUND_VARIABLE_346832 $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.np__0))) (let ((_let_2 (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_1 tptp.k2_arytm_2)) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 _let_1)) (tptp.k1_tarski _let_1)))))) (not (= _let_2 (tptp.k4_xboole_0 _let_2 (tptp.k1_tarski BOUND_VARIABLE_346832)))))))))))) (let ((_let_297 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_134)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_134 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_int_1 (lambda ((BOUND_VARIABLE_347240 $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.np__0))) (let ((_let_2 (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k5_numbers (tptp.k2_zfmisc_1 _let_1 tptp.k5_numbers)) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 _let_1)) (tptp.k1_tarski _let_1)))))) (not (= _let_2 (tptp.k4_xboole_0 _let_2 (tptp.k1_tarski BOUND_VARIABLE_347240)))))))))))) (let ((_let_298 (SYMM (ASSUME :args (_let_113))))) (let ((_let_299 (EQ_RESOLVE (SYMM (ASSUME :args (_let_112))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((= tptp.np__1 _let_111) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_300 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_81)) (MACRO_SR_EQ_INTRO :args (_let_81 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v1_membered A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.v1_xcmplx_0 B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_membered (lambda ((BOUND_VARIABLE_351204 $$unsorted)) (forall ((B $$unsorted)) (or (= BOUND_VARIABLE_351204 (tptp.k4_xboole_0 BOUND_VARIABLE_351204 (tptp.k1_tarski B))) (tptp.v1_xcmplx_0 B))))))))) (let ((_let_301 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_80)) (MACRO_SR_EQ_INTRO :args (_let_80 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v2_membered A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.v1_xreal_0 B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v2_membered (lambda ((BOUND_VARIABLE_351233 $$unsorted)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2)))) (let ((_let_3 (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_2 tptp.k2_arytm_2)) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_2 _let_2)) (tptp.k1_tarski _let_2)))))) (or (= BOUND_VARIABLE_351233 (tptp.k4_xboole_0 BOUND_VARIABLE_351233 _let_1)) (not (= _let_3 (tptp.k4_xboole_0 _let_3 _let_1)))))))))))))) (let ((_let_302 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_79)) (MACRO_SR_EQ_INTRO :args (_let_79 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v3_membered A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.v1_rat_1 B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v3_membered (lambda ((BOUND_VARIABLE_351258 $$unsorted)) (forall ((B $$unsorted)) (or (= BOUND_VARIABLE_351258 (tptp.k4_xboole_0 BOUND_VARIABLE_351258 (tptp.k1_tarski B))) (tptp.v1_rat_1 B))))))))) (let ((_let_303 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_78)) (MACRO_SR_EQ_INTRO :args (_let_78 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v4_membered A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.v1_int_1 B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v4_membered (lambda ((BOUND_VARIABLE_351287 $$unsorted)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2)))) (let ((_let_3 (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k5_numbers (tptp.k2_zfmisc_1 _let_2 tptp.k5_numbers)) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_2 _let_2)) (tptp.k1_tarski _let_2)))))) (or (= BOUND_VARIABLE_351287 (tptp.k4_xboole_0 BOUND_VARIABLE_351287 _let_1)) (not (= _let_3 (tptp.k4_xboole_0 _let_3 _let_1)))))))))))))) (let ((_let_304 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_77)) (MACRO_SR_EQ_INTRO :args (_let_77 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v5_membered A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (tptp.v4_ordinal2 B))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v5_membered (lambda ((BOUND_VARIABLE_351316 $$unsorted)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (or (= BOUND_VARIABLE_351316 (tptp.k4_xboole_0 BOUND_VARIABLE_351316 _let_1)) (not (= tptp.k5_numbers (tptp.k4_xboole_0 tptp.k5_numbers _let_1)))))))))))) (let ((_let_305 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_76)) (MACRO_SR_EQ_INTRO :args (_let_76 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v1_card_1 A) (and (tptp.v3_ordinal1 A) (forall ((C $$unsorted)) (or (not (tptp.v3_ordinal1 C)) (not (tptp.r2_wellord2 C A)) (tptp.r1_ordinal1 A C)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_card_1 (lambda ((BOUND_VARIABLE_353733 $$unsorted)) (and (forall ((C $$unsorted)) (or (not (forall ((B $$unsorted) (BOUND_VARIABLE_299448 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_299448))) (or (= C (tptp.k4_xboole_0 C (tptp.k1_tarski B))) (= B (tptp.k4_xboole_0 B _let_1)) (not (= C (tptp.k4_xboole_0 C _let_1))))))) (not (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k1_tarski B))) (or (= C (tptp.k4_xboole_0 C _let_2)) (= C (tptp.k4_xboole_0 C _let_1)) (not (= C (tptp.k4_xboole_0 C _let_2))) (= B C) (not (= B (tptp.k4_xboole_0 B _let_1)))))))) (not (tptp.r2_wellord2 C BOUND_VARIABLE_353733)) (tptp.r1_ordinal1 BOUND_VARIABLE_353733 C))) (forall ((B $$unsorted) (BOUND_VARIABLE_299448 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_299448))) (or (= BOUND_VARIABLE_353733 (tptp.k4_xboole_0 BOUND_VARIABLE_353733 (tptp.k1_tarski B))) (= B (tptp.k4_xboole_0 B _let_1)) (not (= BOUND_VARIABLE_353733 (tptp.k4_xboole_0 BOUND_VARIABLE_353733 _let_1)))))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k1_tarski B))) (or (= BOUND_VARIABLE_353733 (tptp.k4_xboole_0 BOUND_VARIABLE_353733 _let_2)) (= BOUND_VARIABLE_353733 (tptp.k4_xboole_0 BOUND_VARIABLE_353733 _let_1)) (not (= C (tptp.k4_xboole_0 C _let_2))) (= B C) (not (= B (tptp.k4_xboole_0 B _let_1)))))))))))))) (let ((_let_306 (TRUST_SUBS_EQ (ASSUME :args (_let_75)) :args ((= tptp.r2_wellord2 (lambda ((BOUND_VARIABLE_354049 $$unsorted) (BOUND_VARIABLE_354050 $$unsorted)) (= (tptp.k1_card_1 BOUND_VARIABLE_354049) (tptp.k1_card_1 BOUND_VARIABLE_354050)))))))) (let ((_let_307 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_68)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_68 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k5_finseq_1 (lambda ((BOUND_VARIABLE_358746 $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2)))) (let ((_let_2 (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_1 tptp.k2_arytm_2)) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 _let_1)) (tptp.k1_tarski _let_1)))))) (let ((_let_3 (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski tptp.k13_arytm_3)))) (let ((_let_4 (tptp.k1_tarski (tptp.k3_binop_1 (tptp.k2_xboole_0 (tptp.k4_xboole_0 (tptp.k5_partfun1 _let_3 _let_2 (tptp.k3_partfun1 (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)) _let_3 _let_2)) tptp.a_0_0_numbers) _let_2) tptp.k29_binop_2)))) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_4 (tptp.k1_tarski BOUND_VARIABLE_358746))) (tptp.k1_tarski _let_4))))))))))))) (let ((_let_308 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_67)) (MACRO_SR_EQ_INTRO :args (_let_67 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= tptp.k1_xboole_0 (tptp.k6_finseq_1 A))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k6_finseq_1 (lambda ((BOUND_VARIABLE_358761 $$unsorted)) (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)))))))) (let ((_let_309 (TRUST_SUBS_EQ (ASSUME :args (_let_66)) :args ((= tptp.k10_finseq_1 (lambda ((BOUND_VARIABLE_359693 $$unsorted) (BOUND_VARIABLE_359694 $$unsorted)) (tptp.k7_finseq_1 (tptp.k9_finseq_1 BOUND_VARIABLE_359693) (tptp.k9_finseq_1 BOUND_VARIABLE_359694)))))))) (let ((_let_310 (TRUST_SUBS_EQ (ASSUME :args (_let_65)) :args ((= tptp.k11_finseq_1 (lambda ((BOUND_VARIABLE_359704 $$unsorted) (BOUND_VARIABLE_359705 $$unsorted) (BOUND_VARIABLE_359706 $$unsorted)) (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 BOUND_VARIABLE_359704) (tptp.k9_finseq_1 BOUND_VARIABLE_359705)) (tptp.k9_finseq_1 BOUND_VARIABLE_359706)))))))) (let ((_let_311 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_64)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_64 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k9_finseq_1 (lambda ((BOUND_VARIABLE_359735 $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2)))) (let ((_let_2 (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_1 tptp.k2_arytm_2)) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 _let_1)) (tptp.k1_tarski _let_1)))))) (let ((_let_3 (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski tptp.k13_arytm_3)))) (let ((_let_4 (tptp.k1_tarski (tptp.k3_binop_1 (tptp.k2_xboole_0 (tptp.k4_xboole_0 (tptp.k5_partfun1 _let_3 _let_2 (tptp.k3_partfun1 (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)) _let_3 _let_2)) tptp.a_0_0_numbers) _let_2) tptp.k29_binop_2)))) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_4 (tptp.k1_tarski BOUND_VARIABLE_359735))) (tptp.k1_tarski _let_4))))))))))))) (let ((_let_312 (TRUST_SUBS_EQ (ASSUME :args (_let_63)) :args ((= tptp.m2_finseq_1 (lambda ((BOUND_VARIABLE_361380 $$unsorted) (BOUND_VARIABLE_361381 $$unsorted)) (tptp.m1_finseq_1 BOUND_VARIABLE_361380 BOUND_VARIABLE_361381))))))) (let ((_let_313 (TRUST_SUBS_EQ (ASSUME :args (_let_62)) :args ((= tptp.k1_eqrel_1 (lambda ((BOUND_VARIABLE_361965 $$unsorted)) (tptp.k2_zfmisc_1 BOUND_VARIABLE_361965 BOUND_VARIABLE_361965))))))) (let ((_let_314 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_61)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_61 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_classes2 (lambda ((BOUND_VARIABLE_369988 $$unsorted)) (and (forall ((B $$unsorted) (BOUND_VARIABLE_299448 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_299448))) (or (= BOUND_VARIABLE_369988 (tptp.k4_xboole_0 BOUND_VARIABLE_369988 (tptp.k1_tarski B))) (= B (tptp.k4_xboole_0 B _let_1)) (not (= BOUND_VARIABLE_369988 (tptp.k4_xboole_0 BOUND_VARIABLE_369988 _let_1)))))) (tptp.v2_classes1 BOUND_VARIABLE_369988)))))))) (let ((_let_315 (EQ_RESOLVE (ASSUME :args (_let_60)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_60 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_316 (EQ_RESOLVE (ASSUME :args (_let_57)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_57 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_317 (EQ_RESOLVE (ASSUME :args (_let_56)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_56 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_318 (ASSUME :args (_let_55)))) (let ((_let_319 (ASSUME :args (_let_54)))) (let ((_let_320 (ASSUME :args (_let_53)))) (let ((_let_321 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v1_qc_lang1 A) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 (tptp.k13_finseq_1 (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers)))) (forall ((B $$unsorted) (BOUND_VARIABLE_166943 $$unsorted) (BOUND_VARIABLE_166941 $$unsorted)) (let ((_let_1 (tptp.k7_qc_lang1 B))) (or (not (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers)) (not (tptp.m2_subset_1 BOUND_VARIABLE_166941 tptp.k5_qc_lang1 _let_1)) (not (tptp.m1_qc_lang1 BOUND_VARIABLE_166943 B)) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k12_finseq_1 _let_1 BOUND_VARIABLE_166941) BOUND_VARIABLE_166943) A)))) (tptp.r2_hidden (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__0 tptp.np__0)) A) (forall ((B $$unsorted)) (or (not (tptp.m2_finseq_1 B (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers))) (not (tptp.r2_hidden B A)) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__1 tptp.np__0)) B) A))) (forall ((B $$unsorted) (BOUND_VARIABLE_166979 $$unsorted)) (let ((_let_1 (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers))) (or (not (tptp.m2_finseq_1 B _let_1)) (not (tptp.r2_hidden B A)) (not (tptp.m2_finseq_1 BOUND_VARIABLE_166979 _let_1)) (not (tptp.r2_hidden BOUND_VARIABLE_166979 A)) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__2 tptp.np__0)) B) BOUND_VARIABLE_166979) A)))) (forall ((B $$unsorted) (BOUND_VARIABLE_167003 $$unsorted)) (or (not (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1)) (not (tptp.m2_finseq_1 BOUND_VARIABLE_167003 (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers))) (not (tptp.r2_hidden BOUND_VARIABLE_167003 A)) (tptp.r2_hidden (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__3 tptp.np__0)) (tptp.k12_finseq_1 tptp.k2_qc_lang1 B)) BOUND_VARIABLE_167003) A)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_qc_lang1 (lambda ((BOUND_VARIABLE_372810 $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2)))) (let ((_let_2 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 _let_1)) (tptp.k1_tarski _let_1))))) (let ((_let_3 (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_1 tptp.k2_arytm_2)) _let_2))) (let ((_let_4 (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski tptp.k13_arytm_3)))) (let ((_let_5 (tptp.k1_tarski (tptp.k3_binop_1 (tptp.k2_xboole_0 (tptp.k4_xboole_0 (tptp.k5_partfun1 _let_4 _let_3 (tptp.k3_partfun1 (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)) _let_4 _let_3)) tptp.a_0_0_numbers) _let_3) tptp.k29_binop_2)))) (and (tptp.m1_subset_1 BOUND_VARIABLE_372810 (tptp.k1_zfmisc_1 (tptp.k13_finseq_1 (tptp.k12_mcart_1 _let_3 _let_3 tptp.k5_numbers tptp.k5_numbers)))) (forall ((B $$unsorted) (BOUND_VARIABLE_166943 $$unsorted) (BOUND_VARIABLE_166941 $$unsorted)) (let ((_let_1 (tptp.k7_qc_lang1 B))) (let ((_let_2 (tptp.k1_tarski (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2)))) (or (not (tptp.m2_subset_1 B (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_2 tptp.k2_arytm_2)) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_2 _let_2)) (tptp.k1_tarski _let_2)))) tptp.k5_numbers)) (not (tptp.m2_subset_1 BOUND_VARIABLE_166941 tptp.k5_qc_lang1 _let_1)) (not (tptp.m1_qc_lang1 BOUND_VARIABLE_166943 B)) (not (= BOUND_VARIABLE_372810 (tptp.k4_xboole_0 BOUND_VARIABLE_372810 (tptp.k1_tarski (tptp.k7_finseq_1 (tptp.k12_finseq_1 _let_1 BOUND_VARIABLE_166941) BOUND_VARIABLE_166943))))))))) (not (= BOUND_VARIABLE_372810 (tptp.k4_xboole_0 BOUND_VARIABLE_372810 (tptp.k1_tarski (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_5 _let_2)) (tptp.k1_tarski _let_5))))))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2)))) (let ((_let_2 (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_1 tptp.k2_arytm_2)) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 _let_1)) (tptp.k1_tarski _let_1)))))) (let ((_let_3 (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski tptp.k13_arytm_3)))) (let ((_let_4 (tptp.k1_tarski (tptp.k3_binop_1 (tptp.k2_xboole_0 (tptp.k4_xboole_0 (tptp.k5_partfun1 _let_3 _let_2 (tptp.k3_partfun1 (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)) _let_3 _let_2)) tptp.a_0_0_numbers) _let_2) tptp.k29_binop_2)))) (let ((_let_5 (tptp.k1_tarski _let_4))) (or (not (tptp.m1_finseq_1 B (tptp.k12_mcart_1 _let_2 _let_2 tptp.k5_numbers tptp.k5_numbers))) (= BOUND_VARIABLE_372810 (tptp.k4_xboole_0 BOUND_VARIABLE_372810 (tptp.k1_tarski B))) (not (= BOUND_VARIABLE_372810 (tptp.k4_xboole_0 BOUND_VARIABLE_372810 (tptp.k1_tarski (tptp.k7_finseq_1 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_4 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_4 _let_1)) _let_5)))) _let_5)) B)))))))))))) (forall ((B $$unsorted) (BOUND_VARIABLE_166979 $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2)))) (let ((_let_2 (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_1 tptp.k2_arytm_2)) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 _let_1)) (tptp.k1_tarski _let_1)))))) (let ((_let_3 (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski tptp.k13_arytm_3)))) (let ((_let_4 (tptp.k1_tarski (tptp.k3_binop_1 (tptp.k2_xboole_0 (tptp.k4_xboole_0 (tptp.k5_partfun1 _let_3 _let_2 (tptp.k3_partfun1 (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)) _let_3 _let_2)) tptp.a_0_0_numbers) _let_2) tptp.k29_binop_2)))) (let ((_let_5 (tptp.k1_tarski tptp.np__2))) (let ((_let_6 (tptp.k12_mcart_1 _let_2 _let_2 tptp.k5_numbers tptp.k5_numbers))) (or (not (tptp.m1_finseq_1 B _let_6)) (= BOUND_VARIABLE_372810 (tptp.k4_xboole_0 BOUND_VARIABLE_372810 (tptp.k1_tarski B))) (not (tptp.m1_finseq_1 BOUND_VARIABLE_166979 _let_6)) (= BOUND_VARIABLE_372810 (tptp.k4_xboole_0 BOUND_VARIABLE_372810 (tptp.k1_tarski BOUND_VARIABLE_166979))) (not (= BOUND_VARIABLE_372810 (tptp.k4_xboole_0 BOUND_VARIABLE_372810 (tptp.k1_tarski (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_4 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_5 _let_1)) (tptp.k1_tarski _let_5))))) (tptp.k1_tarski _let_4))) B) BOUND_VARIABLE_166979))))))))))))) (forall ((B $$unsorted) (BOUND_VARIABLE_167003 $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.np__4))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 tptp.k5_numbers))) (let ((_let_3 (tptp.k1_tarski (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2)))) (let ((_let_4 (tptp.k4_xboole_0 (tptp.k2_xboole_0 tptp.k2_arytm_2 (tptp.k2_zfmisc_1 _let_3 tptp.k2_arytm_2)) (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_3 _let_3)) (tptp.k1_tarski _let_3)))))) (let ((_let_5 (tptp.k2_xboole_0 _let_3 (tptp.k1_tarski tptp.k13_arytm_3)))) (let ((_let_6 (tptp.k1_tarski (tptp.k3_binop_1 (tptp.k2_xboole_0 (tptp.k4_xboole_0 (tptp.k5_partfun1 _let_5 _let_4 (tptp.k3_partfun1 (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel)) _let_5 _let_4)) tptp.a_0_0_numbers) _let_4) tptp.k29_binop_2)))) (let ((_let_7 (tptp.k1_tarski tptp.np__3))) (or (not (tptp.m2_subset_1 B (tptp.k2_zfmisc_1 (tptp.k2_xboole_0 _let_1 (tptp.k2_xboole_0 (tptp.k1_tarski tptp.np__5) (tptp.k1_tarski tptp.np__6))) tptp.k5_numbers) _let_2)) (not (tptp.m1_finseq_1 BOUND_VARIABLE_167003 (tptp.k12_mcart_1 _let_4 _let_4 tptp.k5_numbers tptp.k5_numbers))) (= BOUND_VARIABLE_372810 (tptp.k4_xboole_0 BOUND_VARIABLE_372810 (tptp.k1_tarski BOUND_VARIABLE_167003))) (not (= BOUND_VARIABLE_372810 (tptp.k4_xboole_0 BOUND_VARIABLE_372810 (tptp.k1_tarski (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_6 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_7 _let_3)) (tptp.k1_tarski _let_7))))) (tptp.k1_tarski _let_6))) (tptp.k12_finseq_1 _let_2 B)) BOUND_VARIABLE_167003)))))))))))))))))))))))))) (let ((_let_322 (EQ_RESOLVE (SYMM (ASSUME :args (_let_51))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((= _let_50 tptp.k11_qc_lang1) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_323 (ASSUME :args (_let_47)))) (let ((_let_324 (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_46 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_325 (TRUST_SUBS_EQ (ASSUME :args (_let_45)) :args ((= tptp.k3_cqc_lang (lambda ((BOUND_VARIABLE_374212 $$unsorted) (BOUND_VARIABLE_374213 $$unsorted)) (tptp.k2_funcop_1 (tptp.k1_tarski BOUND_VARIABLE_374212) BOUND_VARIABLE_374213))))))) (let ((_let_326 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k9_funct_2 (lambda ((BOUND_VARIABLE_374643 $$unsorted) (BOUND_VARIABLE_374644 $$unsorted) (BOUND_VARIABLE_374645 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_374643))) (tptp.k2_funcop_1 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski BOUND_VARIABLE_374644))) (tptp.k1_tarski _let_1))) BOUND_VARIABLE_374645)))))))) (let ((_let_327 (EQ_RESOLVE (SYMM (ASSUME :args (_let_43))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((= tptp.k11_qc_lang1 tptp.k9_cqc_lang) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_328 (ASSUME :args (_let_42)))) (let ((_let_329 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v1_realset1 A) (or (tptp.v1_xboole_0 A) (not (forall ((B $$unsorted)) (not (= A (tptp.k1_tarski B)))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_realset1 (lambda ((BOUND_VARIABLE_375489 $$unsorted)) (or (= BOUND_VARIABLE_375489 (tptp.k4_xboole_0 tptp.a_0_33_fraenkel (tptp.k4_xboole_0 tptp.a_0_33_fraenkel tptp.f2_s18_fraenkel))) (not (forall ((B $$unsorted)) (not (= BOUND_VARIABLE_375489 (tptp.k1_tarski B)))))))))))) (let ((_let_330 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v1_card_4 (lambda ((BOUND_VARIABLE_379877 $$unsorted)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k3_card_1 (tptp.k3_binop_1 tptp.k5_numbers tptp.k47_binop_2)))) (let ((_let_3 (tptp.k1_card_1 BOUND_VARIABLE_379877))) (or (= _let_3 (tptp.k4_xboole_0 _let_3 _let_1)) (not (= _let_2 (tptp.k4_xboole_0 _let_2 _let_1)))))))))))))) (let ((_let_331 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k1_cat_1 (lambda ((BOUND_VARIABLE_385524 $$unsorted) (BOUND_VARIABLE_385525 $$unsorted) (BOUND_VARIABLE_385526 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_385524))) (tptp.k2_funcop_1 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski BOUND_VARIABLE_385525))) (tptp.k1_tarski _let_1))) BOUND_VARIABLE_385526)))))))) (let ((_let_332 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k8_cat_1 (lambda ((BOUND_VARIABLE_386009 $$unsorted) (BOUND_VARIABLE_386010 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_386010))) (let ((_let_2 (tptp.k7_cat_1 BOUND_VARIABLE_386010 BOUND_VARIABLE_386009))) (tptp.g1_cat_1 (tptp.k1_tarski BOUND_VARIABLE_386009) _let_1 _let_2 _let_2 (tptp.k2_funcop_1 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 _let_1)) (tptp.k1_tarski _let_1))) BOUND_VARIABLE_386010) (tptp.k7_cat_1 BOUND_VARIABLE_386009 BOUND_VARIABLE_386010)))))))))) (let ((_let_333 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.k7_cat_1 (lambda ((BOUND_VARIABLE_387098 $$unsorted) (BOUND_VARIABLE_387099 $$unsorted)) (tptp.k2_funcop_1 (tptp.k1_tarski BOUND_VARIABLE_387098) BOUND_VARIABLE_387099))))))) (let ((_let_334 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_335 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_336 (SYMM (EQ_RESOLVE (SYMM (ASSUME :args (_let_12))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((= tptp.np__0 tptp.k23_borsuk_1) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_337 (EQ_RESOLVE (SYMM (ASSUME :args (_let_11))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((= tptp.np__1 tptp.k24_borsuk_1) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_338 (EQ_RESOLVE (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args (2)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((= tptp.k1_xboole_0 tptp.k8_vectsp_2) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_339 (SYMM (ASSUME :args (_let_7))))) (let ((_let_340 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v4_grcat_1 A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (and (not (tptp.v3_struct_0 B)) (tptp.v1_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v4_grcat_1 (lambda ((BOUND_VARIABLE_405525 $$unsorted)) (forall ((B $$unsorted)) (or (= BOUND_VARIABLE_405525 (tptp.k4_xboole_0 BOUND_VARIABLE_405525 (tptp.k1_tarski B))) (and (not (tptp.v3_struct_0 B)) (tptp.v1_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)))))))))) (let ((_let_341 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted)) (= (tptp.v5_grcat_1 A) (forall ((B $$unsorted)) (or (not (tptp.r2_hidden B A)) (and (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.v5_grcat_1 (lambda ((BOUND_VARIABLE_405550 $$unsorted)) (forall ((B $$unsorted)) (or (= BOUND_VARIABLE_405550 (tptp.k4_xboole_0 BOUND_VARIABLE_405550 (tptp.k1_tarski B))) (and (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)))))))))) (let ((_let_342 (AND_INTRO (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_grcat_1 A B) (and (not (tptp.v3_struct_0 B)) (tptp.v1_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (= A (tptp.k4_mcart_1 (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.k7_vectsp_1 B) (tptp.u2_struct_0 B)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.r1_grcat_1 (lambda ((BOUND_VARIABLE_405741 $$unsorted) (BOUND_VARIABLE_405742 $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.u1_struct_0 BOUND_VARIABLE_405742)))) (let ((_let_2 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski (tptp.u1_rlvect_1 BOUND_VARIABLE_405742)))) (tptp.k1_tarski _let_1))))) (let ((_let_3 (tptp.k1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_2 (tptp.k1_tarski (tptp.k7_vectsp_1 BOUND_VARIABLE_405742)))) (tptp.k1_tarski _let_2))))) (and (not (tptp.v3_struct_0 BOUND_VARIABLE_405742)) (tptp.v1_rlvect_1 BOUND_VARIABLE_405742) (tptp.v4_rlvect_1 BOUND_VARIABLE_405742) (tptp.v5_rlvect_1 BOUND_VARIABLE_405742) (tptp.v6_rlvect_1 BOUND_VARIABLE_405742) (tptp.l1_rlvect_1 BOUND_VARIABLE_405742) (= BOUND_VARIABLE_405741 (tptp.k2_xboole_0 (tptp.k1_tarski (tptp.k2_xboole_0 _let_3 (tptp.k1_tarski (tptp.u2_struct_0 BOUND_VARIABLE_405742)))) (tptp.k1_tarski _let_3))))))))))) _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228))) (let ((_let_343 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_342 :args ((forall ((A $$unsorted) (B $$unsorted)) (or (tptp.v3_struct_0 B) (not (tptp.v10_lattices B)) (not (tptp.v17_lattices B)) (tptp.v3_realset2 B) (not (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.k7_lopclset B)) (and (tptp.m1_filter_0 A B) (tptp.v1_filter_0 A B))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_344 (tptp.a_2_0_lopclset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_145))) (let ((_let_345 (= _let_344 (tptp.k4_xboole_0 _let_344 _let_212)))) (let ((_let_346 (tptp.m1_subset_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_145 (tptp.u1_struct_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144)))) (let ((_let_347 (not _let_346))) (let ((_let_348 (or _let_225 _let_224 _let_222 _let_220 _let_219 _let_347 _let_345 _let_215))) (let ((_let_349 (forall ((A $$unsorted) (BOUND_VARIABLE_276902 $$unsorted) (BOUND_VARIABLE_415493 $$unsorted)) (let ((_let_1 (tptp.k1_tarski BOUND_VARIABLE_415493))) (let ((_let_2 (tptp.k7_lopclset A))) (let ((_let_3 (tptp.a_2_0_lopclset A BOUND_VARIABLE_276902))) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v17_lattices A)) (tptp.v3_realset2 A) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_276902 (tptp.u1_struct_0 A))) (= _let_3 (tptp.k4_xboole_0 _let_3 _let_1)) (not (= _let_2 (tptp.k4_xboole_0 _let_2 _let_1)))))))))) (let ((_let_350 (not _let_348))) (let ((_let_351 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_342 :args ((not (forall ((A $$unsorted) (BOUND_VARIABLE_276902 $$unsorted)) (or (tptp.v3_struct_0 A) (not (tptp.v10_lattices A)) (not (tptp.v17_lattices A)) (tptp.v3_realset2 A) (not (tptp.l3_lattices A)) (not (tptp.m1_subset_1 BOUND_VARIABLE_276902 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.a_2_0_lopclset A BOUND_VARIABLE_276902) (tptp.k7_lopclset A))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_352 (or))) (let ((_let_353 (not _let_349))) (let ((_let_354 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_351) :args (_let_353))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_353) _let_349))) (REFL :args (_let_350)) :args _let_352)) _let_351 :args (_let_350 true _let_349)))) (let ((_let_355 (REFL :args (_let_348)))) (let ((_let_356 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_348 4)) (CONG _let_355 (MACRO_SR_PRED_INTRO :args ((= (not _let_219) _let_218))) :args _let_352)) :args ((or _let_218 _let_348))) _let_354 :args (_let_218 true _let_348)))) (let ((_let_357 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_348 3)) _let_354 :args ((not _let_220) true _let_348)))) (let ((_let_358 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_348 2)) (CONG _let_355 (MACRO_SR_PRED_INTRO :args ((= (not _let_222) _let_221))) :args _let_352)) :args ((or _let_221 _let_348))) _let_354 :args (_let_221 true _let_348)))) (let ((_let_359 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_348 1)) (CONG _let_355 (MACRO_SR_PRED_INTRO :args ((= (not _let_224) _let_223))) :args _let_352)) :args ((or _let_223 _let_348))) _let_354 :args (_let_223 true _let_348)))) (let ((_let_360 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_348 0)) _let_354 :args ((not _let_225) true _let_348)))) (let ((_let_361 (and _let_210 _let_209 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 (tptp.k4_xboole_0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 (tptp.k1_tarski SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_145))))))) (let ((_let_362 (not _let_345))) (let ((_let_363 (= _let_362 _let_361))) (let ((_let_364 (or _let_225 _let_224 _let_222 _let_220 _let_219 _let_347 _let_363))) (let ((_let_365 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.a_2_0_lopclset B C))) (or (tptp.v3_struct_0 B) (not (tptp.v10_lattices B)) (not (tptp.v17_lattices B)) (tptp.v3_realset2 B) (not (tptp.l3_lattices B)) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (and (tptp.m1_filter_0 A B) (tptp.v1_filter_0 A B) (not (= A (tptp.k4_xboole_0 A (tptp.k1_tarski C))))) (not (= _let_1 (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski A)))))))))) (let ((_let_366 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_342 :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.v3_struct_0 B) (not (tptp.v10_lattices B)) (not (tptp.v17_lattices B)) (tptp.v3_realset2 B) (not (tptp.l3_lattices B)) (not (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_lopclset B C)) (and (tptp.m1_filter_0 A B) (tptp.v1_filter_0 A B) (tptp.r2_hidden C A))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_367 (not _let_363))) (let ((_let_368 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_363)) (CONG (REFL :args (_let_367)) (MACRO_SR_PRED_INTRO :args ((= (not _let_362) _let_345))) (REFL :args (_let_361)) :args _let_352)) :args ((or _let_345 _let_361 _let_367))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_348 6)) _let_354 :args (_let_362 true _let_348)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_364)) :args ((or _let_225 _let_224 _let_222 _let_220 _let_219 _let_347 _let_363 (not _let_364)))) _let_360 _let_359 _let_358 _let_357 _let_356 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_348 5)) (CONG _let_355 (MACRO_SR_PRED_INTRO :args ((= (not _let_347) _let_346))) :args _let_352)) :args ((or _let_346 _let_348))) _let_354 :args (_let_346 true _let_348)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_366 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_145 QUANTIFIERS_INST_E_MATCHING ((tptp.k4_xboole_0 (tptp.a_2_0_lopclset B C) (tptp.k1_tarski A))))) :args (_let_365)))) _let_366 :args (_let_364 false _let_365)) :args (_let_363 true _let_225 false _let_223 false _let_221 true _let_220 false _let_218 false _let_346 false _let_364)) :args (_let_361 true _let_345 false _let_363)))) (let ((_let_369 (not _let_361))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_211)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_361 1)) :args ((or _let_209 _let_369))) _let_368 :args (_let_209 false _let_361)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_361 0)) :args ((or _let_210 _let_369))) _let_368 :args (_let_210 false _let_361)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_216)) :args ((or _let_215 _let_217 (not _let_216)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_348 7)) (CONG _let_355 (MACRO_SR_PRED_INTRO :args ((= (not _let_215) _let_214))) :args _let_352)) :args ((or _let_214 _let_348))) _let_354 :args (_let_214 true _let_348)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_226)) :args ((or _let_225 _let_224 _let_222 _let_220 _let_219 _let_216 (not _let_226)))) _let_360 _let_359 _let_358 _let_357 _let_356 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_343 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 QUANTIFIERS_INST_E_MATCHING ((tptp.k4_xboole_0 (tptp.k7_lopclset B) (tptp.k1_tarski A))))) :args (_let_227)))) _let_343 :args (_let_226 false _let_227)) :args (_let_216 true _let_225 false _let_223 false _let_221 true _let_220 false _let_218 false _let_226)) :args (_let_217 false _let_214 false _let_216)) :args (false false _let_209 false _let_210 true _let_211)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (not (tptp.r2_hidden B A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_tarski A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (= C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_tarski A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (= D A) (= D B)))))) true true _let_208 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k3_tarski A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.r2_hidden C D) (tptp.r2_hidden D A))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (tptp.r2_hidden D C)))))))))) _let_207 true _let_206 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.r2_hidden A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r1_tarski D C)) (tptp.r2_hidden D B))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (=> (tptp.r1_tarski E C) (tptp.r2_hidden E D))))))))) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (tptp.r2_tarski C B)) (not (tptp.r2_hidden C B)))))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s1_tarski A B) (tptp.p1_s1_tarski A C)) (= B C))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.r2_hidden C tptp.f1_s1_tarski) (tptp.p1_s1_tarski C B))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_tarski A B) (tptp.k2_tarski B A))) true true _let_74 (exists ((A $$unsorted)) (tptp.v1_xboole_0 A)) (exists ((A $$unsorted)) (not (tptp.v1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_xboole_0 B A))))) (forall ((A $$unsorted)) (= (= A tptp.k1_xboole_0) (forall ((B $$unsorted)) (not (tptp.r2_hidden B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (or (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_xboole_0 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D A) (not (tptp.r2_hidden D B))))))) _let_205 _let_204 _let_203 _let_202 _let_201 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.r1_tarski A B) (tptp.r1_tarski B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k5_xboole_0 B C)) (not (= (tptp.r2_hidden A B) (tptp.r2_hidden A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (= (not (tptp.r2_hidden D A)) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= A (tptp.k5_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))) (not (and (exists ((C $$unsorted)) (and (tptp.r2_hidden C A) (tptp.r2_hidden C B))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (tptp.r2_hidden C (tptp.k3_xboole_0 A B)))))) (not (and (exists ((C $$unsorted)) (tptp.r2_hidden C (tptp.k3_xboole_0 A B))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.r2_hidden C A))) (let ((_let_2 (tptp.r2_hidden C B))) (not (and (tptp.r1_xboole_0 A B) (tptp.r2_hidden C (tptp.k2_xboole_0 A B)) (not (and _let_1 (not _let_2))) (not (and _let_2 (not _let_1)))))))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.f1_s1_xboole_0) (tptp.p1_s1_xboole_0 B))))) (=> (and (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.f1_s2_xboole_0) (tptp.p1_s2_xboole_0 A))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.f2_s2_xboole_0) (tptp.p1_s2_xboole_0 A)))) (= tptp.f1_s2_xboole_0 tptp.f2_s2_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (= (tptp.r2_hidden C A) (tptp.p1_s3_xboole_0 C))) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.p1_s3_xboole_0 C)))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.r2_xboole_0 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_xboole_0 A B) (not (tptp.r2_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r3_xboole_0 A B) (tptp.r3_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r3_xboole_0 A A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A A) A)) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A A) A)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k5_xboole_0 B A))) (forall ((A $$unsorted)) (= (tptp.k2_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (= (tptp.k3_xboole_0 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (= (tptp.k4_xboole_0 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (= (tptp.k5_xboole_0 A tptp.k1_xboole_0) A)) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.v1_xboole_0 A) (not (= A B)) (tptp.v1_xboole_0 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski B C)) (tptp.r1_tarski A C))) (forall ((A $$unsorted)) (tptp.r1_tarski tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (tptp.r1_tarski A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (= (tptp.k2_xboole_0 A _let_1) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski A (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k2_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski A (tptp.k2_xboole_0 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 A B) C) (tptp.r1_tarski A C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k2_xboole_0 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k2_xboole_0 A C) (tptp.k2_xboole_0 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B) (forall ((D $$unsorted)) (=> (and (tptp.r1_tarski A D) (tptp.r1_tarski C D)) (tptp.r1_tarski B D)))) (= B (tptp.k2_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_xboole_0 A B) tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 (tptp.k3_xboole_0 A B) C) (tptp.k3_xboole_0 A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_xboole_0 A B) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k3_xboole_0 B C)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C)) (tptp.r1_tarski A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C) (forall ((D $$unsorted)) (=> (and (tptp.r1_tarski D B) (tptp.r1_tarski D C)) (tptp.r1_tarski D A)))) (= A (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 C A)) (tptp.k3_xboole_0 (tptp.k3_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_xboole_0 A C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k3_xboole_0 A C) (tptp.k3_xboole_0 B D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k3_xboole_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k3_xboole_0 A B) (tptp.k2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k2_xboole_0 A (tptp.k3_xboole_0 C B)) (tptp.k3_xboole_0 (tptp.k2_xboole_0 A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)) (tptp.k2_xboole_0 B C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 A C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 C B) (tptp.k4_xboole_0 C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k4_xboole_0 A D) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 A B) tptp.k1_xboole_0) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A (tptp.k4_xboole_0 B A)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A (tptp.k4_xboole_0 B A)) (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) B) (tptp.k4_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k4_xboole_0 A B) C) (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_xboole_0 B C)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k4_xboole_0 A B) C) (tptp.r1_tarski A (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= B (tptp.k2_xboole_0 A (tptp.k4_xboole_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k2_xboole_0 A B)) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k3_xboole_0 A B)) (tptp.k4_xboole_0 A B))) _let_200 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.k4_xboole_0 (tptp.k3_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.k4_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k4_xboole_0 A B)) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k3_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k3_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_xboole_0 A B) (tptp.r2_xboole_0 B C)) (tptp.r2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_xboole_0 A B) (tptp.r2_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_xboole_0 A B) (tptp.r1_tarski B C)) (tptp.r2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r2_xboole_0 B C)) (tptp.r2_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_tarski A B) (tptp.r2_xboole_0 B A)))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (tptp.r2_xboole_0 tptp.k1_xboole_0 A))) (forall ((A $$unsorted)) (not (tptp.r2_xboole_0 A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_xboole_0 B C)) (tptp.r1_xboole_0 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D) (tptp.r1_xboole_0 B D)) (tptp.r1_xboole_0 A C))) (forall ((A $$unsorted)) (tptp.r1_xboole_0 A tptp.k1_xboole_0)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A A))) (let ((_let_2 (= A tptp.k1_xboole_0))) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski A C) (tptp.r1_xboole_0 B C)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (not (and (tptp.r1_tarski C A) (tptp.r1_tarski C B) (tptp.r1_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (and (tptp.r1_tarski B A) (tptp.r1_xboole_0 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.r1_xboole_0 A (tptp.k2_xboole_0 B C)))) (let ((_let_2 (tptp.r1_xboole_0 A C))) (let ((_let_3 (tptp.r1_xboole_0 A B))) (and (not (and (not _let_1) _let_3 _let_2)) (not (and (not (and _let_3 _let_2)) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C B)) (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C B)) (= A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)) (tptp.r1_xboole_0 C A) (tptp.r1_xboole_0 D B)) (= C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_xboole_0 B C)) (tptp.r1_xboole_0 A C)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r1_xboole_0 A (tptp.k3_xboole_0 B C))) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (tptp.r1_xboole_0 A B)) (tptp.r1_xboole_0 (tptp.k3_xboole_0 A B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 (tptp.k3_xboole_0 C A) (tptp.k3_xboole_0 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r1_xboole_0 A B)) (tptp.r1_tarski A C) (tptp.r1_xboole_0 A (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (= (tptp.k3_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k3_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k4_xboole_0 A B) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 A (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A (tptp.k4_xboole_0 B C)) (tptp.r1_xboole_0 B (tptp.k4_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k4_xboole_0 A B) (tptp.k4_xboole_0 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_xboole_0 A B) (= (tptp.k4_xboole_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r1_xboole_0 A B)) (tptp.r1_xboole_0 A C) (tptp.r1_xboole_0 A (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_xboole_0 A (tptp.k4_xboole_0 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_xboole_0 A C)) (tptp.r1_tarski A (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_xboole_0 A B) (= (tptp.k2_xboole_0 (tptp.k4_xboole_0 C A) B) (tptp.k4_xboole_0 (tptp.k2_xboole_0 C B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_xboole_0 A B) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) B) A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k4_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k4_xboole_0 A (tptp.k3_xboole_0 A B)) B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k5_xboole_0 (tptp.k5_xboole_0 A B) C) (tptp.k5_xboole_0 A (tptp.k5_xboole_0 B C)))) (forall ((A $$unsorted)) (= (tptp.k5_xboole_0 A A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 (tptp.k5_xboole_0 A B) (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k5_xboole_0 (tptp.k5_xboole_0 A B) (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A B) (tptp.k5_xboole_0 (tptp.k5_xboole_0 A B) (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_xboole_0 A B) (tptp.k5_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski (tptp.k4_xboole_0 A B) C) (tptp.r1_tarski (tptp.k4_xboole_0 B A) C)) (tptp.r1_tarski (tptp.k5_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_xboole_0 A B) (tptp.k5_xboole_0 A (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k5_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k4_xboole_0 B (tptp.k2_xboole_0 A C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 A B) (tptp.k5_xboole_0 A (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_xboole_0 A B) (tptp.k4_xboole_0 (tptp.k2_xboole_0 A B) (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 A (tptp.k5_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k4_xboole_0 A (tptp.k2_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k3_xboole_0 A B) C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k5_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (not (and (not (tptp.r2_xboole_0 A B)) (not (= A B)) (not (tptp.r2_xboole_0 B A)))) (tptp.r3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_xboole_0 A B) (= (tptp.k4_xboole_0 B A) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k4_xboole_0 B C)) (and (tptp.r1_tarski A B) (tptp.r1_xboole_0 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r1_tarski A (tptp.k5_xboole_0 B C)) (and (tptp.r1_tarski A (tptp.k2_xboole_0 B C)) (tptp.r1_xboole_0 A (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k5_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C B)) (tptp.k3_xboole_0 (tptp.k4_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k5_xboole_0 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C B)) (tptp.k3_xboole_0 (tptp.k5_xboole_0 A C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) D) (tptp.k2_xboole_0 A (tptp.k2_xboole_0 (tptp.k2_xboole_0 B C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_xboole_0 A D) (tptp.r1_xboole_0 B D) (tptp.r1_xboole_0 C D)) (tptp.r1_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 A B) C) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (= D (tptp.k1_enumset1 A B C)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (not (and (not (= E A)) (not (= E B)) (not (= E C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (= E (tptp.k2_enumset1 A B C D)) (forall ((F $$unsorted)) (= (tptp.r2_hidden F E) (not (and (not (= F A)) (not (= F B)) (not (= F C)) (not (= F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (= F (tptp.k3_enumset1 A B C D E)) (forall ((G $$unsorted)) (= (tptp.r2_hidden G F) (not (and (not (= G A)) (not (= G B)) (not (= G C)) (not (= G D)) (not (= G E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (= G (tptp.k4_enumset1 A B C D E F)) (forall ((H $$unsorted)) (= (tptp.r2_hidden H G) (not (and (not (= H A)) (not (= H B)) (not (= H C)) (not (= H D)) (not (= H E)) (not (= H F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (= H (tptp.k5_enumset1 A B C D E F G)) (forall ((I $$unsorted)) (= (tptp.r2_hidden I H) (not (and (not (= I A)) (not (= I B)) (not (= I C)) (not (= I D)) (not (= I E)) (not (= I F)) (not (= I G)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (= (= I (tptp.k6_enumset1 A B C D E F G H)) (forall ((J $$unsorted)) (= (tptp.r2_hidden J I) (not (and (not (= J A)) (not (= J B)) (not (= J C)) (not (= J D)) (not (= J E)) (not (= J F)) (not (= J G)) (not (= J H)))))))) true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true true _let_199 _let_198 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k1_tarski C)))) _let_197 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k2_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k1_tarski D)))) _let_196 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_enumset1 A B C D E) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k1_enumset1 C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_enumset1 A B C D E) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k2_tarski D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_enumset1 A B C D E) (tptp.k2_xboole_0 (tptp.k2_enumset1 A B C D) (tptp.k1_tarski E)))) _let_195 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k2_enumset1 C D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k1_enumset1 D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k2_enumset1 A B C D) (tptp.k2_tarski E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k4_enumset1 A B C D E F) (tptp.k2_xboole_0 (tptp.k3_enumset1 A B C D E) (tptp.k1_tarski F)))) _let_194 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k3_enumset1 C D E F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k2_enumset1 D E F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k2_enumset1 A B C D) (tptp.k1_enumset1 E F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k3_enumset1 A B C D E) (tptp.k2_tarski F G)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k5_enumset1 A B C D E F G) (tptp.k2_xboole_0 (tptp.k4_enumset1 A B C D E F) (tptp.k1_tarski G)))) _let_193 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k2_tarski A B) (tptp.k4_enumset1 C D E F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k1_enumset1 A B C) (tptp.k3_enumset1 D E F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 E F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k3_enumset1 A B C D E) (tptp.k1_enumset1 F G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k4_enumset1 A B C D E F) (tptp.k2_tarski G H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.k6_enumset1 A B C D E F G H) (tptp.k2_xboole_0 (tptp.k5_enumset1 A B C D E F G) (tptp.k1_tarski H)))) (forall ((A $$unsorted)) (= (tptp.k2_tarski A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_enumset1 A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k2_enumset1 A A B C) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_enumset1 A A B C D) (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k4_enumset1 A A B C D E) (tptp.k3_enumset1 A B C D E))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k5_enumset1 A A B C D E F) (tptp.k4_enumset1 A B C D E F))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.k6_enumset1 A A B C D E F G) (tptp.k5_enumset1 A B C D E F G))) (forall ((A $$unsorted)) (= (tptp.k1_enumset1 A A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_enumset1 A A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_enumset1 A A A B C) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_enumset1 A A A B C D) (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k5_enumset1 A A A B C D E) (tptp.k3_enumset1 A B C D E))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k6_enumset1 A A A B C D E F) (tptp.k4_enumset1 A B C D E F))) (forall ((A $$unsorted)) (= (tptp.k2_enumset1 A A A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_enumset1 A A A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_enumset1 A A A A B C) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k5_enumset1 A A A A B C D) (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k6_enumset1 A A A A B C D E) (tptp.k3_enumset1 A B C D E))) (forall ((A $$unsorted)) (= (tptp.k3_enumset1 A A A A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_enumset1 A A A A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k5_enumset1 A A A A A B C) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k6_enumset1 A A A A A B C D) (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted)) (= (tptp.k4_enumset1 A A A A A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_enumset1 A A A A A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k6_enumset1 A A A A A A B C) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted)) (= (tptp.k5_enumset1 A A A A A A A) (tptp.k1_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k6_enumset1 A A A A A A A B) (tptp.k2_tarski A B))) (forall ((A $$unsorted)) (= (tptp.k6_enumset1 A A A A A A A A) (tptp.k1_tarski A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k1_enumset1 A C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k1_enumset1 B A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k1_enumset1 B C A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_enumset1 A B C) (tptp.k1_enumset1 C B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 A B D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 A C B D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 A C D B))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 A D C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B A C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B A D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B C A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B C D A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B D A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 B D C A))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 C B A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 C B D A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 C D A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 C D B A))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 D B C A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_enumset1 A B C D) (tptp.k2_enumset1 D C B A))) true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.r1_tarski C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k4_tarski E F)))))))) _let_192 _let_191 (= (tptp.k1_zfmisc_1 tptp.k1_xboole_0) _let_8) (= (tptp.k3_tarski tptp.k1_xboole_0) tptp.k1_xboole_0) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_tarski A) (tptp.k2_tarski B C)) (= B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (= (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k2_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) _let_1) _let_1))) true (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (= (tptp.k3_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k3_xboole_0 _let_1 (tptp.k2_tarski A B)) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 (tptp.k1_tarski B)) _let_1) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) tptp.k1_xboole_0) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k1_tarski A) (tptp.k2_tarski A B)) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) (tptp.k1_tarski B)) (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_tarski B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k2_tarski B C)) (not (= A B)) (not (= A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k1_tarski C)) (= A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_tarski A B))) (=> (tptp.r1_tarski _let_2 _let_1) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (not (= A C)) (not (= A D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.k5_xboole_0 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (tptp.k1_zfmisc_1 _let_1) (tptp.k2_tarski tptp.k1_xboole_0 _let_1)))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_tarski A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski (tptp.k1_tarski A) (tptp.k1_tarski B))) (tptp.k2_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k4_tarski A B) (tptp.k4_tarski C D)) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) (tptp.k1_tarski D))) (and (= A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k1_tarski (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski A C))) (and (= (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C)) (tptp.k2_tarski (tptp.k4_tarski A B) _let_1)) (= (tptp.k2_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C)) (tptp.k2_tarski _let_1 (tptp.k4_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_tarski A) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r1_tarski (tptp.k2_tarski A B) C) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (= (tptp.r1_tarski A _let_1) (or (= A tptp.k1_xboole_0) (= A _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (or (tptp.r2_hidden C A) (tptp.r1_tarski A (tptp.k4_xboole_0 B (tptp.k1_tarski C)))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A (tptp.k1_tarski B))) (not (= A tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (tptp.r1_tarski A _let_1) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (= C _let_1))) (not (and (= _let_1 (tptp.k2_xboole_0 B C)) (not (and _let_2 _let_3)) (not (and (= B tptp.k1_xboole_0) _let_3)) (not (and _let_2 (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k1_tarski A) (tptp.k2_xboole_0 B C)) (not (= B C)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) C) (tptp.r2_hidden A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k2_xboole_0 (tptp.k2_tarski A C) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (= (tptp.k2_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (= (tptp.k3_xboole_0 A _let_1) _let_1) (tptp.r2_hidden B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k3_xboole_0 B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A C))) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k1_tarski A) B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_xboole_0 (tptp.k2_tarski A B) C) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.r2_hidden A B)) (tptp.r1_xboole_0 (tptp.k1_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.r2_hidden A B)) (not (tptp.r2_hidden C B)) (not (tptp.r1_xboole_0 (tptp.k2_tarski A C) B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (or (tptp.r1_xboole_0 _let_1 B) (= (tptp.k3_xboole_0 _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.k3_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (tptp.r2_hidden B C) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A B) (or (and (tptp.r2_hidden C B) (not (= A C))) (= (tptp.k3_xboole_0 (tptp.k2_tarski A C) B) (tptp.k1_tarski A))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (= (tptp.k3_xboole_0 _let_1 C) _let_1) (tptp.r2_hidden A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k4_xboole_0 B (tptp.k1_tarski C))) (and (tptp.r2_hidden A B) (not (= A C))))) _let_190 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (not (and (= (tptp.k4_xboole_0 A _let_1) tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0)) (not (= A _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (= (= (tptp.k4_xboole_0 _let_1 B) _let_1) (not (tptp.r2_hidden A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k1_tarski A) B) tptp.k1_xboole_0) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 B))) (or (= _let_2 tptp.k1_xboole_0) (= _let_2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) C) (tptp.k1_tarski A)) (and (not (tptp.r2_hidden A C)) (or (tptp.r2_hidden B C) (= A B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (= (= (tptp.k4_xboole_0 _let_1 C) _let_1) (and (not (tptp.r2_hidden A C)) (not (tptp.r2_hidden B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.k4_xboole_0 (tptp.k2_tarski A B) C) tptp.k1_xboole_0) (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 C))) (not (and (not (= _let_2 tptp.k1_xboole_0)) (not (= _let_2 (tptp.k1_tarski A))) (not (= _let_2 (tptp.k1_tarski B))) (not (= _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (= (= (tptp.k4_xboole_0 A _let_1) tptp.k1_xboole_0) (not (and (not (= A tptp.k1_xboole_0)) (not (= A (tptp.k1_tarski B))) (not (= A (tptp.k1_tarski C))) (not (= A _let_1))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)) (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)) (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))) (tptp.r3_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_zfmisc_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k1_tarski tptp.k1_xboole_0) (tptp.k4_xboole_0 (tptp.k1_zfmisc_1 A) (tptp.k1_zfmisc_1 B))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 A B)) (tptp.k1_zfmisc_1 (tptp.k4_xboole_0 B A))) (tptp.k1_zfmisc_1 (tptp.k5_xboole_0 A B)))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_tarski A (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_tarski A B)) (tptp.k2_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski C B))) (tptp.r1_tarski (tptp.k3_tarski A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_xboole_0 C B))) (tptp.r1_xboole_0 (tptp.k3_tarski A) B))) (forall ((A $$unsorted)) (= (tptp.k3_tarski (tptp.k1_zfmisc_1 A)) A)) (forall ((A $$unsorted)) (tptp.r1_tarski A (tptp.k1_zfmisc_1 (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1)) (or (= C D) (tptp.r1_xboole_0 C D))))) (= (tptp.k3_tarski (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.k4_tarski D E) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden D A) (forall ((E $$unsorted) (F $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden F C) (= D (tptp.k4_tarski E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 B C) (tptp.k2_zfmisc_1 D E))) (forall ((F $$unsorted) (G $$unsorted)) (not (and (= A (tptp.k4_tarski F G)) (tptp.r2_hidden F (tptp.k3_xboole_0 B D)) (tptp.r2_hidden G (tptp.k3_xboole_0 C E)))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (and (tptp.r2_hidden A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C D)) (tptp.r2_hidden (tptp.k4_tarski B A) (tptp.k2_zfmisc_1 D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (= (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 A B)) (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 C D))))) (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (tptp.r1_tarski A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski D (tptp.k2_zfmisc_1 E F)) (forall ((G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k4_tarski G H))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 D))))) (= A D))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted) (E $$unsorted)) (not (= C (tptp.k4_tarski D E))))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k2_zfmisc_1 A B) tptp.k1_xboole_0) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 B A)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A A) (tptp.k2_zfmisc_1 B B)) (= A B))) (forall ((A $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_zfmisc_1 A A)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (or (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 C A)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 A C))) (not (tptp.r1_tarski B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (and (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 A D)) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 A B) (tptp.k3_xboole_0 C D)) (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (= (tptp.k3_xboole_0 (tptp.k2_zfmisc_1 A D) (tptp.k2_zfmisc_1 B C)) (tptp.k2_zfmisc_1 A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (and (= (tptp.k2_zfmisc_1 _let_1 C) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C))) (= (tptp.k2_zfmisc_1 C _let_1) (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 C A) (tptp.k2_zfmisc_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 (tptp.k4_xboole_0 A C) B) (tptp.k2_zfmisc_1 A (tptp.k4_xboole_0 B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 (tptp.k1_tarski C) D)) (and (= A C) (tptp.r2_hidden B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k2_zfmisc_1 C (tptp.k1_tarski D))) (and (tptp.r2_hidden A C) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (not (= A tptp.k1_xboole_0)) (and (not (= (tptp.k2_zfmisc_1 _let_1 A) tptp.k1_xboole_0)) (not (= (tptp.k2_zfmisc_1 A _let_1) tptp.k1_xboole_0)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (=> (not (= A B)) (and (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 D)) (tptp.r1_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 D _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (let ((_let_3 (tptp.k2_tarski A B))) (and (= (tptp.k2_zfmisc_1 _let_3 C) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 _let_2 C) (tptp.k2_zfmisc_1 _let_1 C))) (= (tptp.k2_zfmisc_1 C _let_3) (tptp.k2_xboole_0 (tptp.k2_zfmisc_1 C _let_2) (tptp.k2_zfmisc_1 C _let_1)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (and (= A C) (= B D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (or (tptp.r1_tarski A (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski A (tptp.k2_zfmisc_1 B A))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.r2_hidden A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r1_tarski D C)) (tptp.r2_hidden D B))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k1_zfmisc_1 C) B))) (forall ((C $$unsorted)) (not (and (tptp.r1_tarski C B) (not (tptp.r2_tarski C B)) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (tptp.r2_hidden A (tptp.k2_zfmisc_1 D E))) (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k3_xboole_0 B D) (tptp.k3_xboole_0 C E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.r1_tarski _let_1 (tptp.k2_zfmisc_1 C D)) (or (= _let_1 tptp.k1_xboole_0) (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.r1_tarski (tptp.k2_zfmisc_1 A B) (tptp.k2_zfmisc_1 C D)) (tptp.r1_tarski (tptp.k2_zfmisc_1 B A) (tptp.k2_zfmisc_1 D C))) (tptp.r1_tarski B D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.r2_hidden A B) (= (tptp.k2_xboole_0 (tptp.k4_xboole_0 B _let_1) _let_1) B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.r2_hidden A B)) (= (tptp.k4_xboole_0 (tptp.k2_xboole_0 B _let_1) _let_1) B)))) true true true true (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k2_tarski A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.v1_xboole_0 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C))) (not (tptp.v1_xboole_0 (tptp.k3_zfmisc_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D))) (not (tptp.v1_xboole_0 (tptp.k4_zfmisc_1 A B C D))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m1_subset_1 B A))) (let ((_let_2 (tptp.v1_xboole_0 A))) (and (=> (not _let_2) (= _let_1 (tptp.r2_hidden B A))) (=> _let_2 (= _let_1 (tptp.v1_xboole_0 B))))))) _let_189 _let_188 true true true (forall ((A $$unsorted)) (tptp.m1_subset_1 tptp.k1_xboole_0 (tptp.k1_zfmisc_1 A))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (not (tptp.r2_hidden C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A B) (tptp.k4_xboole_0 A B)))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (or (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k4_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (tptp.r2_hidden E D))))) (= B (tptp.k5_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (and (tptp.r2_hidden E C) (not (tptp.r2_hidden E D)))))) (= B (tptp.k6_subset_1 A C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E B) (not (= (tptp.r2_hidden E C) (tptp.r2_hidden E D)))))) (= B (tptp.k7_subset_1 A C D))))))))) true true (forall ((A $$unsorted)) (= (tptp.k1_subset_1 A) (tptp.k3_subset_1 A (tptp.k2_subset_1 A)))) (forall ((A $$unsorted)) (= (tptp.k2_subset_1 A) (tptp.k3_subset_1 A (tptp.k1_subset_1 A)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B (tptp.k3_subset_1 A B)) (tptp.k2_subset_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.r1_xboole_0 B (tptp.k3_subset_1 A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_subset_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k4_subset_1 A B _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_subset_1 A C) (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k6_subset_1 A B C) (tptp.k5_subset_1 A B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k6_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k3_subset_1 A B) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k7_subset_1 A B C)) (tptp.k4_subset_1 A (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski B (tptp.k3_subset_1 A C)) (tptp.r1_tarski C (tptp.k3_subset_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r1_tarski (tptp.k3_subset_1 A B) C) (tptp.r1_tarski (tptp.k3_subset_1 A C) B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski B (tptp.k3_subset_1 A B)) (= B (tptp.k1_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.r1_tarski (tptp.k3_subset_1 A B) B) (= B (tptp.k2_subset_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))) (= B tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A (tptp.k4_subset_1 A B C)) (tptp.k3_subset_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.r1_tarski (tptp.k3_subset_1 A B) (tptp.k3_subset_1 A (tptp.k5_subset_1 A B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B C) (tptp.r1_tarski B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_xboole_0 B (tptp.k3_subset_1 A C)) (tptp.r1_tarski B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_subset_1 A C))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_xboole_0 B C) (tptp.r1_xboole_0 (tptp.k3_subset_1 A B) _let_1)) (= B _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (and (tptp.r1_tarski B C) (tptp.r1_xboole_0 D C)) (tptp.r1_tarski B (tptp.k3_subset_1 A D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (tptp.r2_hidden D C))) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.r2_hidden C B))) (= A B)))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (tptp.r2_hidden C B)) (tptp.r2_hidden C (tptp.k3_subset_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D B) (not (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (not (tptp.r2_hidden D B)) (tptp.r2_hidden D C)))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (= (tptp.r2_hidden D B) (tptp.r2_hidden D C))))) (= B (tptp.k3_subset_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden B (tptp.k3_subset_1 A C)) (tptp.r2_hidden B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_tarski B) (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_tarski B C) (tptp.k1_zfmisc_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k1_enumset1 B C D) (tptp.k1_zfmisc_1 A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k2_enumset1 B C D E) (tptp.k1_zfmisc_1 A))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k3_enumset1 B C D E F) (tptp.k1_zfmisc_1 A))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k4_enumset1 B C D E F G) (tptp.k1_zfmisc_1 A))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k5_enumset1 B C D E F G H) (tptp.k1_zfmisc_1 A))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I A) (=> (not (= A tptp.k1_xboole_0)) (tptp.m1_subset_1 (tptp.k6_enumset1 B C D E F G H I) (tptp.k1_zfmisc_1 A))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 (tptp.k1_tarski A) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted)) (=> (not true) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (= B (tptp.k8_subset_1 A)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s1_subset_1)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (and (tptp.r2_hidden B tptp.f1_s1_subset_1) (tptp.p1_s1_subset_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s2_subset_1)) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C A) (tptp.p1_s2_subset_1 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_subset_1) (= (tptp.r2_hidden C B) (tptp.p1_s2_subset_1 C))))) (= A B)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s3_subset_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_subset_1) (= (tptp.r2_hidden B A) (tptp.p1_s3_subset_1 B)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f2_s4_subset_1) (tptp.p1_s4_subset_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_subset_1) (= (tptp.r2_hidden A tptp.f3_s4_subset_1) (tptp.p1_s4_subset_1 A))))) (= tptp.f2_s4_subset_1 tptp.f3_s4_subset_1)) true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_subset_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (exists ((C $$unsorted)) (tptp.m2_subset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (= (tptp.m2_subset_1 C A B) (tptp.m1_subset_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r1_subset_1 A B) (tptp.r1_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r1_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r1_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (=> (tptp.r2_subset_1 A B) (tptp.r2_subset_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (not (tptp.r2_subset_1 A A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (= (tptp.r2_subset_1 A B) (tptp.r1_xboole_0 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_subset_1 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k2_subset_1 A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k3_subset_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_subset_1 A (tptp.k3_subset_1 A B)) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k4_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_subset_1 A B C) (tptp.k2_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k5_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_subset_1 A B C) (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k6_subset_1 A B C) (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k7_subset_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k7_subset_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_subset_1 A B C) (tptp.k5_xboole_0 B C))))) (forall ((A $$unsorted)) (tptp.m1_subset_1 (tptp.k8_subset_1 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xboole_0 B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (tptp.v1_xboole_0 (tptp.k7_setfam_1 A B)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (not (tptp.v1_xboole_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_setfam_1 A) (tptp.v1_setfam_1 B)) (tptp.v1_setfam_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_setfam_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (exists ((A $$unsorted)) (not (tptp.v2_setfam_1 A))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v2_setfam_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (= B (tptp.k1_setfam_1 A)))) (let ((_let_2 (= A tptp.k1_xboole_0))) (and (=> (not _let_2) (= _let_1 (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden C D))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0))))))) true (= (tptp.k1_setfam_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k1_setfam_1 A) (tptp.k3_tarski A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_tarski (tptp.k1_setfam_1 B) A))) (forall ((A $$unsorted)) (=> (tptp.r2_hidden tptp.k1_xboole_0 A) (= (tptp.k1_setfam_1 A) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski B C))) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski B (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski (tptp.k1_setfam_1 B) (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_tarski A C)) (tptp.r1_tarski (tptp.k1_setfam_1 B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_xboole_0 A C)) (tptp.r1_xboole_0 (tptp.k1_setfam_1 B) C))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= (tptp.k1_setfam_1 (tptp.k2_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B))))))) (forall ((A $$unsorted)) (= (tptp.k1_setfam_1 (tptp.k1_tarski A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_setfam_1 (tptp.k2_tarski A B)) (tptp.k3_xboole_0 A B))) _let_187 _let_186 true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_setfam_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_setfam_1 A B) (tptp.r1_tarski (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_setfam_1 B A) (or (= A tptp.k1_xboole_0) (tptp.r1_tarski (tptp.k1_setfam_1 B) (tptp.k1_setfam_1 A))))) (forall ((A $$unsorted)) (tptp.r1_setfam_1 tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (tptp.r1_setfam_1 A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_setfam_1 A B) (tptp.r1_setfam_1 B C)) (tptp.r1_setfam_1 A C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_setfam_1 B (tptp.k1_tarski A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r1_tarski C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_setfam_1 C (tptp.k2_tarski A B)) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D C) (not (tptp.r1_tarski D A)) (not (tptp.r1_tarski D B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k2_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k2_xboole_0 E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k3_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k3_xboole_0 E F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_setfam_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.r2_hidden E A) (tptp.r2_hidden F B) (= D (tptp.k4_xboole_0 E F)))))))) true true true (forall ((A $$unsorted)) (tptp.r1_setfam_1 A (tptp.k2_setfam_1 A A))) (forall ((A $$unsorted)) (tptp.r1_setfam_1 (tptp.k3_setfam_1 A A) A)) (forall ((A $$unsorted)) (tptp.r1_setfam_1 (tptp.k4_setfam_1 A A) A)) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.r1_xboole_0 A B)) (= (tptp.k3_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k3_setfam_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k2_xboole_0 A (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k2_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_xboole_0 A (tptp.k3_tarski B)) (tptp.k3_tarski (tptp.k3_setfam_1 (tptp.k1_tarski A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k4_xboole_0 A (tptp.k3_tarski B)) (tptp.k1_setfam_1 (tptp.k4_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k4_xboole_0 A (tptp.k1_setfam_1 B)) (tptp.k3_tarski (tptp.k4_setfam_1 (tptp.k1_tarski A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_tarski (tptp.k3_setfam_1 A B)) (tptp.k3_xboole_0 (tptp.k3_tarski A) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)) (tptp.k1_setfam_1 (tptp.k2_setfam_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_setfam_1 (tptp.k4_setfam_1 A B)) (tptp.k4_xboole_0 (tptp.k1_setfam_1 A) (tptp.k1_setfam_1 B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D B) (tptp.r2_hidden D C)))) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (= C (tptp.k7_setfam_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D C) (tptp.r2_hidden (tptp.k3_subset_1 A D) B))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (and (not (= B tptp.k1_xboole_0)) (= (tptp.k7_setfam_1 A B) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k6_subset_1 A (tptp.k2_subset_1 A) (tptp.k5_setfam_1 A B)) (tptp.k6_setfam_1 A (tptp.k7_setfam_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k5_setfam_1 A (tptp.k7_setfam_1 A B)) (tptp.k6_subset_1 A (tptp.k2_subset_1 A) (tptp.k6_setfam_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden (tptp.k3_subset_1 A C) (tptp.k7_setfam_1 A B)) (tptp.r2_hidden C B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)) (tptp.r1_tarski B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.r1_tarski (tptp.k7_setfam_1 A B) C) (tptp.r1_tarski B (tptp.k7_setfam_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)) (= B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k7_setfam_1 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k7_setfam_1 A B) (tptp.k7_setfam_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= B (tptp.k1_tarski A)) (= (tptp.k7_setfam_1 A B) (tptp.k1_tarski tptp.k1_xboole_0))))) _let_185 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski (tptp.k3_tarski A) B) (tptp.r2_hidden C A)) (tptp.r1_tarski C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski C (tptp.k3_tarski (tptp.k2_xboole_0 A B))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_xboole_0 D C)))) (tptp.r1_tarski C (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_setfam_1 A B))) (let ((_let_2 (= B tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (=> (not _let_2) (= _let_1 (tptp.k6_setfam_1 A B))) (=> _let_2 (= _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r2_hidden B A) (= (tptp.r2_hidden B (tptp.k8_setfam_1 A C)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D C) (tptp.r2_hidden B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k8_setfam_1 A C) (tptp.k8_setfam_1 A B))))))) _let_184 (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_setfam_1 A A)) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r2_setfam_1 B B)) true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_setfam_1 A B) (tptp.k2_setfam_1 B A))) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_setfam_1 A B) (tptp.k3_setfam_1 B A))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k5_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k5_setfam_1 A B) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k6_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k6_setfam_1 A B) (tptp.k1_setfam_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (=> (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 (tptp.k7_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k7_setfam_1 A (tptp.k7_setfam_1 A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (tptp.m1_subset_1 (tptp.k8_setfam_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.m1_subset_1 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 A B) (or (tptp.v1_xboole_0 B) (tptp.r2_hidden A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 C)) (tptp.v1_xboole_0 C)))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A))) (and _let_74 _let_71) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A)) (not (tptp.v1_xboole_0 (tptp.k1_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A)) (not (tptp.v1_xboole_0 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 A B))) (=> (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 B)) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (=> (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 B)) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1))))) (and _let_74 _let_71 _let_73) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v3_relat_1 _let_1))))) _let_183 true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A B) (tptp.v1_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_relat_1 (tptp.k1_tarski (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (tptp.v1_relat_1 (tptp.k2_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_relat_1 (tptp.k2_zfmisc_1 A B))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= A B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (= (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 A) (tptp.r2_hidden _let_1 B))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.v1_relat_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.v1_relat_1 (tptp.k4_xboole_0 B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (= B (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (tptp.r2_hidden (tptp.k4_tarski C D) A)))))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k1_relat_1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.k1_relat_1 (tptp.k4_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (= B (tptp.k2_relat_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (tptp.r2_hidden (tptp.k4_tarski D C) A)))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (tptp.r2_hidden A (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (not (tptp.r2_hidden C (tptp.k2_relat_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (tptp.r2_hidden A (tptp.k2_relat_1 B)) (forall ((C $$unsorted)) (not (tptp.r2_hidden C (tptp.k1_relat_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r2_hidden (tptp.k4_tarski A B) C) (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (tptp.r2_hidden B (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.r1_tarski A (tptp.k2_zfmisc_1 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k3_xboole_0 A (tptp.k2_zfmisc_1 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (= C (tptp.k1_tarski (tptp.k4_tarski A B))) (and (= (tptp.k1_relat_1 C) (tptp.k1_tarski A)) (= (tptp.k2_relat_1 C) (tptp.k1_tarski B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.v1_relat_1 E) (=> (= E (tptp.k2_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D))) (and (= (tptp.k1_relat_1 E) (tptp.k2_tarski A C)) (= (tptp.k2_relat_1 E) (tptp.k2_tarski B D)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A B) (and (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k2_relat_1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.k2_relat_1 (tptp.k4_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k3_relat_1 A) (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (=> (tptp.v1_relat_1 A) (and (tptp.r1_tarski (tptp.k1_relat_1 A) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 A) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 C))) (=> (tptp.v1_relat_1 C) (=> (tptp.r2_hidden (tptp.k4_tarski A B) C) (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_relat_1 A) (tptp.k3_relat_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (= C (tptp.k1_tarski (tptp.k4_tarski A B))) (= (tptp.k3_relat_1 C) (tptp.k2_tarski A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k3_relat_1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k3_relat_1 A) (tptp.k3_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k3_relat_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k3_relat_1 A) (tptp.k3_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= B (tptp.k4_relat_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (tptp.r2_hidden (tptp.k4_tarski D C) A)))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (tptp.v1_relat_1 A) (and (= (tptp.k2_relat_1 A) (tptp.k1_relat_1 _let_1)) (= (tptp.k1_relat_1 A) (tptp.k2_relat_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k3_relat_1 A) (tptp.k3_relat_1 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k4_relat_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k4_relat_1 A) (tptp.k4_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k4_relat_1 (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k4_relat_1 A) (tptp.k4_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k4_relat_1 (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 (tptp.k4_relat_1 A) (tptp.k4_relat_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (= C (tptp.k5_relat_1 A B)) (forall ((D $$unsorted) (E $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski D E) C) (exists ((F $$unsorted)) (and (tptp.r2_hidden (tptp.k4_tarski D F) A) (tptp.r2_hidden (tptp.k4_tarski F E) B)))))))))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k5_relat_1 A B)) (tptp.k1_relat_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k5_relat_1 A B)) (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_relat_1 (tptp.k5_relat_1 A B)) (tptp.k1_relat_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_relat_1 B)) (= (tptp.k2_relat_1 (tptp.k5_relat_1 B A)) (tptp.k2_relat_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k5_relat_1 C A) (tptp.k5_relat_1 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k5_relat_1 A C) (tptp.k5_relat_1 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k5_relat_1 A C) (tptp.k5_relat_1 B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k5_relat_1 A (tptp.k2_xboole_0 B C)) (tptp.k2_xboole_0 (tptp.k5_relat_1 A B) (tptp.k5_relat_1 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 A (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k5_relat_1 A B) (tptp.k5_relat_1 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k5_relat_1 A B) (tptp.k5_relat_1 A C)) (tptp.k5_relat_1 A (tptp.k4_xboole_0 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k4_relat_1 (tptp.k5_relat_1 A B)) (tptp.k5_relat_1 (tptp.k4_relat_1 B) (tptp.k4_relat_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k5_relat_1 (tptp.k5_relat_1 A B) C) (tptp.k5_relat_1 A (tptp.k5_relat_1 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski B C) A))) (= A tptp.k1_xboole_0)))) true true true (and (= (tptp.k1_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0) _let_172) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (and (= (tptp.k5_relat_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0) (= (tptp.k5_relat_1 A tptp.k1_xboole_0) tptp.k1_xboole_0)))) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (or (= (tptp.k1_relat_1 A) tptp.k1_xboole_0) (= (tptp.k2_relat_1 A) tptp.k1_xboole_0)) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (= (tptp.k1_relat_1 A) tptp.k1_xboole_0) (= (tptp.k2_relat_1 A) tptp.k1_xboole_0)))) (= (tptp.k4_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_xboole_0 (tptp.k2_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k5_relat_1 A B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v2_relat_1 A) (not (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= B (tptp.k6_relat_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (and (tptp.r2_hidden C A) (= C D))))))) true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (= (tptp.k1_relat_1 _let_1) A) (= (tptp.k2_relat_1 _let_1) A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (= (tptp.k4_relat_1 _let_1) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden (tptp.k4_tarski C C) B))) (tptp.r1_tarski (tptp.k6_relat_1 A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (=> (tptp.v1_relat_1 D) (= (tptp.r2_hidden _let_1 (tptp.k5_relat_1 (tptp.k6_relat_1 C) D)) (and (tptp.r2_hidden A C) (tptp.r2_hidden _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (=> (tptp.v1_relat_1 D) (= (tptp.r2_hidden _let_1 (tptp.k5_relat_1 D (tptp.k6_relat_1 C))) (and (tptp.r2_hidden B C) (tptp.r2_hidden _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (=> (tptp.v1_relat_1 B) (and (tptp.r1_tarski (tptp.k5_relat_1 B _let_1) B) (tptp.r1_tarski (tptp.k5_relat_1 _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k1_relat_1 B) A) (= (tptp.k5_relat_1 (tptp.k6_relat_1 A) B) B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k5_relat_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)) A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (= (tptp.k5_relat_1 B (tptp.k6_relat_1 A)) B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k5_relat_1 A (tptp.k6_relat_1 (tptp.k2_relat_1 A))) A))) (= (tptp.k6_relat_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (= (tptp.k1_relat_1 B) A) (tptp.r1_tarski (tptp.k2_relat_1 C) A) (= (tptp.k5_relat_1 C B) (tptp.k6_relat_1 (tptp.k1_relat_1 D))) (= (tptp.k5_relat_1 B D) (tptp.k6_relat_1 A))) (= D C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (= C (tptp.k7_relat_1 A B)) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k4_tarski D E))) (= (tptp.r2_hidden _let_1 C) (and (tptp.r2_hidden D B) (tptp.r2_hidden _let_1 A)))))))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k1_relat_1 (tptp.k7_relat_1 C B))) (and (tptp.r2_hidden A B) (tptp.r2_hidden A (tptp.k1_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k7_relat_1 B A)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k7_relat_1 B A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k7_relat_1 B A)) (tptp.k1_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k1_relat_1 (tptp.k7_relat_1 B A)) (tptp.k3_xboole_0 (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A (tptp.k1_relat_1 B)) (= (tptp.k1_relat_1 (tptp.k7_relat_1 B A)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 (tptp.k7_relat_1 B A) C) (tptp.k5_relat_1 B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 B (tptp.k7_relat_1 C A)) (tptp.k5_relat_1 B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k7_relat_1 B A) (tptp.k5_relat_1 (tptp.k6_relat_1 A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= (tptp.k7_relat_1 B A) tptp.k1_xboole_0) (tptp.r1_xboole_0 (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k7_relat_1 B A) (tptp.k3_xboole_0 B (tptp.k2_zfmisc_1 A (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k1_relat_1 B) A) (= (tptp.k7_relat_1 B A) B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k7_relat_1 A (tptp.k1_relat_1 A)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k7_relat_1 B A)) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 (tptp.k7_relat_1 C A) B) (tptp.k7_relat_1 C (tptp.k3_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 B A))) (=> (tptp.v1_relat_1 B) (= (tptp.k7_relat_1 _let_1 A) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 C A))) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (= (tptp.k7_relat_1 _let_1 B) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (= (tptp.k7_relat_1 (tptp.k7_relat_1 C B) A) (tptp.k7_relat_1 C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k7_relat_1 C A) (tptp.k7_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k7_relat_1 B A) (tptp.k7_relat_1 C A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (tptp.r1_tarski C D) (tptp.r1_tarski A B)) (tptp.r1_tarski (tptp.k7_relat_1 C A) (tptp.k7_relat_1 D B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 C (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k7_relat_1 C A) (tptp.k7_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k7_relat_1 C A) (tptp.k7_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 C (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 (tptp.k7_relat_1 C A) (tptp.k7_relat_1 C B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k7_relat_1 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k7_relat_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 (tptp.k5_relat_1 B C) A) (tptp.k5_relat_1 (tptp.k7_relat_1 B A) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (= C (tptp.k8_relat_1 A B)) (forall ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k4_tarski D E))) (= (tptp.r2_hidden _let_1 C) (and (tptp.r2_hidden E A) (tptp.r2_hidden _let_1 B)))))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k2_relat_1 (tptp.k8_relat_1 B C))) (and (tptp.r2_hidden A B) (tptp.r2_hidden A (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k8_relat_1 A B)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k8_relat_1 A B) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k8_relat_1 A B)) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k2_relat_1 (tptp.k8_relat_1 A B)) (tptp.k3_xboole_0 (tptp.k2_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A (tptp.k2_relat_1 B)) (= (tptp.k2_relat_1 (tptp.k8_relat_1 A B)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 (tptp.k8_relat_1 A B) C) (tptp.k5_relat_1 B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k5_relat_1 B (tptp.k8_relat_1 A C)) (tptp.k5_relat_1 B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k8_relat_1 A B) (tptp.k5_relat_1 B (tptp.k6_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k8_relat_1 A B) (tptp.k3_xboole_0 B (tptp.k2_zfmisc_1 (tptp.k1_relat_1 B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (= (tptp.k8_relat_1 A B) B)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k8_relat_1 (tptp.k2_relat_1 A) A) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k8_relat_1 A (tptp.k8_relat_1 B C)) (tptp.k8_relat_1 (tptp.k3_xboole_0 A B) C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (=> (tptp.v1_relat_1 B) (= (tptp.k8_relat_1 A _let_1) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A C))) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (= (tptp.k8_relat_1 B _let_1) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (= (tptp.k8_relat_1 A (tptp.k8_relat_1 B C)) (tptp.k8_relat_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k8_relat_1 A C) (tptp.k8_relat_1 B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k8_relat_1 A B) (tptp.k8_relat_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (tptp.r1_tarski C D) (tptp.r1_tarski A B)) (tptp.r1_tarski (tptp.k8_relat_1 A C) (tptp.k8_relat_1 B D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k8_relat_1 (tptp.k2_xboole_0 A B) C) (tptp.k2_xboole_0 (tptp.k8_relat_1 A C) (tptp.k8_relat_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k8_relat_1 (tptp.k3_xboole_0 A B) C) (tptp.k3_xboole_0 (tptp.k8_relat_1 A C) (tptp.k8_relat_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k8_relat_1 (tptp.k4_xboole_0 A B) C) (tptp.k4_xboole_0 (tptp.k8_relat_1 A C) (tptp.k8_relat_1 B C))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k8_relat_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k8_relat_1 A tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k8_relat_1 A (tptp.k5_relat_1 B C)) (tptp.k5_relat_1 B (tptp.k8_relat_1 A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) (tptp.k8_relat_1 A (tptp.k7_relat_1 C B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.k9_relat_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.r2_hidden (tptp.k4_tarski E D) A) (tptp.r2_hidden E B))))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k9_relat_1 C B)) (exists ((D $$unsorted)) (and (tptp.r2_hidden D (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k4_tarski D A) C) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k9_relat_1 B A) (tptp.k2_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k9_relat_1 B A) (tptp.k9_relat_1 B (tptp.k3_xboole_0 (tptp.k1_relat_1 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k9_relat_1 A (tptp.k1_relat_1 A)) (tptp.k2_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k9_relat_1 B A) (tptp.k9_relat_1 B (tptp.k1_relat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k2_relat_1 (tptp.k7_relat_1 B A)) (tptp.k9_relat_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k9_relat_1 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k9_relat_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= (tptp.k9_relat_1 B A) tptp.k1_xboole_0) (tptp.r1_xboole_0 (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (not (= A tptp.k1_xboole_0)) (tptp.r1_tarski A (tptp.k1_relat_1 B)) (= (tptp.k9_relat_1 B A) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 C (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k9_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B)) (tptp.k9_relat_1 C (tptp.k4_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k9_relat_1 B A) (tptp.k9_relat_1 C A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (tptp.r1_tarski C D) (tptp.r1_tarski A B)) (tptp.r1_tarski (tptp.k9_relat_1 C A) (tptp.k9_relat_1 D B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k9_relat_1 (tptp.k5_relat_1 B C) A) (tptp.k9_relat_1 C (tptp.k9_relat_1 B A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k2_relat_1 (tptp.k5_relat_1 A B)) (tptp.k9_relat_1 B (tptp.k2_relat_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k7_relat_1 C A) B) (tptp.k9_relat_1 C B)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k3_xboole_0 (tptp.k1_relat_1 B) A) (tptp.k9_relat_1 (tptp.k4_relat_1 B) (tptp.k9_relat_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.k10_relat_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.r2_hidden (tptp.k4_tarski D E) A) (tptp.r2_hidden E B))))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.r2_hidden A (tptp.k10_relat_1 C B)) (exists ((D $$unsorted)) (and (tptp.r2_hidden D (tptp.k2_relat_1 C)) (tptp.r2_hidden (tptp.k4_tarski A D) C) (tptp.r2_hidden D B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k10_relat_1 B A) (tptp.k1_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k10_relat_1 B A) (tptp.k10_relat_1 B (tptp.k3_xboole_0 (tptp.k2_relat_1 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k10_relat_1 A (tptp.k2_relat_1 A)) (tptp.k1_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k10_relat_1 B A) (tptp.k10_relat_1 B (tptp.k2_relat_1 B))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k10_relat_1 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k10_relat_1 tptp.k1_xboole_0 A) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= (tptp.k10_relat_1 B A) tptp.k1_xboole_0) (tptp.r1_xboole_0 (tptp.k2_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (not (= A tptp.k1_xboole_0)) (tptp.r1_tarski A (tptp.k2_relat_1 B)) (= (tptp.k10_relat_1 B A) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k10_relat_1 C (tptp.k2_xboole_0 A B)) (tptp.k2_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k10_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B)) (tptp.k10_relat_1 C (tptp.k4_xboole_0 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k10_relat_1 B A) (tptp.k10_relat_1 C A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_relat_1 D) (=> (and (tptp.r1_tarski C D) (tptp.r1_tarski A B)) (tptp.r1_tarski (tptp.k10_relat_1 C A) (tptp.k10_relat_1 D B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k10_relat_1 (tptp.k5_relat_1 B C) A) (tptp.k10_relat_1 B (tptp.k10_relat_1 C A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k1_relat_1 (tptp.k5_relat_1 A B)) (tptp.k10_relat_1 A (tptp.k1_relat_1 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.r1_tarski (tptp.k3_xboole_0 (tptp.k2_relat_1 B) A) (tptp.k10_relat_1 (tptp.k4_relat_1 B) (tptp.k10_relat_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_relat_1 A) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k1_tarski tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k2_relat_1 A)) (= B tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 C D))) (=> (and (= (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)) (= (tptp.k7_relat_1 A D) (tptp.k7_relat_1 B D))) (= (tptp.k7_relat_1 A _let_1) (tptp.k7_relat_1 B _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski C B)) (tptp.r1_tarski C (tptp.k7_relat_1 B A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r1_xboole_0 B (tptp.k1_relat_1 A)) (= (tptp.k7_relat_1 A B) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski C D) (= (tptp.k7_relat_1 A D) (tptp.k7_relat_1 B D))) (= (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.k7_relat_1 A (tptp.k1_relat_1 B)) (tptp.k7_relat_1 A (tptp.k1_relat_1 (tptp.k7_relat_1 B (tptp.k1_relat_1 A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (not (and (not (tptp.v3_relat_1 (tptp.k7_relat_1 B A))) (tptp.v3_relat_1 B))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_relat_1) (tptp.r2_hidden C tptp.f2_s1_relat_1) (tptp.p1_s1_relat_1 B C)))))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k4_relat_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.k4_relat_1 (tptp.k4_relat_1 A)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.v1_relat_1 (tptp.k5_relat_1 A B)))) (forall ((A $$unsorted)) (tptp.v1_relat_1 (tptp.k6_relat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k7_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (tptp.v1_relat_1 (tptp.k8_relat_1 A B)))) true true (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_xboole_0 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 (tptp.v1_xboole_0 A) _let_1) (and _let_2 _let_1 (tptp.v2_funct_1 A)))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v3_relat_1 A) (tptp.v1_funct_1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v2_relat_1 A) (tptp.v1_funct_1 A)) (tptp.v1_setfam_1 (tptp.k2_relat_1 A)))) _let_182 true (forall ((A $$unsorted)) (=> (and (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (= (tptp.k4_tarski C D) B)))))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k4_tarski B C) A) (tptp.r2_hidden (tptp.k4_tarski B D) A)) (= C D)))) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (= C (tptp.k1_funct_1 A B)))) (let ((_let_2 (tptp.r2_hidden B (tptp.k1_relat_1 A)))) (and (=> _let_2 (= _let_1 (tptp.r2_hidden (tptp.k4_tarski B C) A))) (=> (not _let_2) (= _let_1 (= C tptp.k1_xboole_0))))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden (tptp.k4_tarski A B) C) (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (= B (tptp.k1_funct_1 C A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (= (= B (tptp.k2_relat_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.r2_hidden D (tptp.k1_relat_1 A)) (= C (tptp.k1_funct_1 A D)))))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.r2_hidden (tptp.k1_funct_1 B A) (tptp.k2_relat_1 B))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (= (tptp.k1_relat_1 B) (tptp.k1_tarski A)) (= (tptp.k2_relat_1 B) (tptp.k1_tarski (tptp.k1_funct_1 B A)))))) (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k1_relat_1 C) A) (= (tptp.k2_relat_1 C) (tptp.k1_tarski B))))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (= (tptp.k1_relat_1 B) A) (= (tptp.k1_relat_1 C) A)) (= B C)))))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)) (= (tptp.k2_relat_1 B) _let_1) (= (tptp.k2_relat_1 C) _let_1)) (= B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (and (= A tptp.k1_xboole_0) (not (= B tptp.k1_xboole_0)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (not (and (= B (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 C) A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= C (tptp.k1_funct_1 B D)))))))) (tptp.r1_tarski A (tptp.k2_relat_1 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k1_relat_1 C)) (and (tptp.r2_hidden D (tptp.k1_relat_1 A)) (tptp.r2_hidden (tptp.k1_funct_1 A D) (tptp.k1_relat_1 B))))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 B (tptp.k1_funct_1 A D)))))) (= C (tptp.k5_relat_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden A (tptp.k1_relat_1 (tptp.k5_relat_1 C B))) (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 C A) (tptp.k1_relat_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 C B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k1_funct_1 B (tptp.k1_funct_1 C A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 (tptp.k5_relat_1 B C) A) (tptp.k1_funct_1 C (tptp.k1_funct_1 B A)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden A (tptp.k2_relat_1 (tptp.k5_relat_1 C B))) (tptp.r2_hidden A (tptp.k2_relat_1 B))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (= (tptp.k1_relat_1 (tptp.k5_relat_1 B A)) (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k1_relat_1 A))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.r1_tarski _let_1 A) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 C) A) (= (tptp.k1_relat_1 D) A) (= (tptp.k5_relat_1 B C) (tptp.k5_relat_1 B D))) (= C D))))))) (= A _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k6_relat_1 A)) (and (= (tptp.k1_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 B C) C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k6_relat_1 A) B) B))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k1_relat_1 (tptp.k5_relat_1 (tptp.k6_relat_1 A) B)) (tptp.k3_xboole_0 (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden B (tptp.k3_xboole_0 (tptp.k1_relat_1 C) A)) (= (tptp.k1_funct_1 C B) (tptp.k1_funct_1 (tptp.k5_relat_1 (tptp.k6_relat_1 A) C) B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden B (tptp.k1_relat_1 (tptp.k5_relat_1 C (tptp.k6_relat_1 A)))) (and (tptp.r2_hidden B (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 C B) A))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (= (tptp.k5_relat_1 (tptp.k6_relat_1 (tptp.k1_relat_1 A)) A) A) (= (tptp.k5_relat_1 A (tptp.k6_relat_1 (tptp.k2_relat_1 A))) A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_relat_1 (tptp.k6_relat_1 B) (tptp.k6_relat_1 A)) (tptp.k6_relat_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k2_relat_1 A) _let_1) (= (tptp.k5_relat_1 A B) A)) (= B (tptp.k6_relat_1 _let_1)))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_funct_1 A) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1) (= (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A C))) (= B C))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (tptp.v2_funct_1 (tptp.k5_relat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 (tptp.k5_relat_1 B A)) (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k1_relat_1 A))) (tptp.v2_funct_1 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 (tptp.k5_relat_1 B A)) (= (tptp.k2_relat_1 B) (tptp.k1_relat_1 A))) (and (tptp.v2_funct_1 B) (tptp.v2_funct_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_funct_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 B) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 C) _let_1) (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)) (= (tptp.k5_relat_1 B A) (tptp.k5_relat_1 C A))) (= B C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (= (tptp.k1_relat_1 B) A) (= (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) A) (tptp.v2_funct_1 B) (= (tptp.k5_relat_1 C B) B)) (= C (tptp.k6_relat_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k2_relat_1 (tptp.k5_relat_1 B A)) (tptp.k2_relat_1 A)) (tptp.v2_funct_1 A)) (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (tptp.v2_funct_1 (tptp.k6_relat_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (= (tptp.k5_relat_1 A B) (tptp.k6_relat_1 (tptp.k1_relat_1 A))))) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (= (tptp.k2_funct_1 A) (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k2_funct_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k2_relat_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (and (tptp.r2_hidden C (tptp.k2_relat_1 A)) (= D (tptp.k1_funct_1 B C))))) (let ((_let_2 (and (tptp.r2_hidden D (tptp.k1_relat_1 A)) (= C (tptp.k1_funct_1 A D))))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (and (= (tptp.k2_relat_1 A) (tptp.k1_relat_1 _let_1)) (= (tptp.k1_relat_1 A) (tptp.k2_relat_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 B) (tptp.r2_hidden A (tptp.k1_relat_1 B))) (and (= A (tptp.k1_funct_1 _let_1 (tptp.k1_funct_1 B A))) (= A (tptp.k1_funct_1 (tptp.k5_relat_1 B _let_1) A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 B) (tptp.r2_hidden A (tptp.k2_relat_1 B))) (and (= A (tptp.k1_funct_1 B (tptp.k1_funct_1 _let_1 A))) (= A (tptp.k1_funct_1 (tptp.k5_relat_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (let ((_let_2 (tptp.k5_relat_1 A (tptp.k2_funct_1 A)))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (and (= (tptp.k1_relat_1 _let_2) _let_1) (= (tptp.k2_relat_1 _let_2) _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k5_relat_1 (tptp.k2_funct_1 A) A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (and (= (tptp.k1_relat_1 _let_2) _let_1) (= (tptp.k2_relat_1 _let_2) _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k1_relat_1 A) (tptp.k2_relat_1 B)) (= (tptp.k2_relat_1 A) (tptp.k1_relat_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C (tptp.k1_relat_1 A)) (tptp.r2_hidden D (tptp.k1_relat_1 B))) (= (= (tptp.k1_funct_1 A C) D) (= (tptp.k1_funct_1 B D) C))))) (= B (tptp.k2_funct_1 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (and (= (tptp.k5_relat_1 A _let_1) (tptp.k6_relat_1 (tptp.k1_relat_1 A))) (= (tptp.k5_relat_1 _let_1 A) (tptp.k6_relat_1 (tptp.k2_relat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (tptp.v2_funct_1 (tptp.k2_funct_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k5_relat_1 A B) (tptp.k6_relat_1 (tptp.k1_relat_1 A)))) (= B (tptp.k2_funct_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (= (tptp.k2_relat_1 B) (tptp.k1_relat_1 A)) (= (tptp.k5_relat_1 B A) (tptp.k6_relat_1 (tptp.k2_relat_1 A)))) (= B (tptp.k2_funct_1 A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v2_funct_1 A) (= (tptp.k2_funct_1 (tptp.k2_funct_1 A)) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (= (tptp.k2_funct_1 (tptp.k5_relat_1 A B)) (tptp.k5_relat_1 (tptp.k2_funct_1 B) (tptp.k2_funct_1 A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (= (tptp.k2_funct_1 _let_1) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= B (tptp.k7_relat_1 C A)) (and (= (tptp.k1_relat_1 B) (tptp.k3_xboole_0 (tptp.k1_relat_1 C) A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 C A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 B) (tptp.k1_funct_1 C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden B (tptp.k3_xboole_0 (tptp.k1_relat_1 C) A)) (= (tptp.k1_funct_1 (tptp.k7_relat_1 C A) B) (tptp.k1_funct_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k7_relat_1 C A) B) (tptp.k1_funct_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden B (tptp.k1_relat_1 C)) (tptp.r2_hidden B A)) (tptp.r2_hidden (tptp.k1_funct_1 C B) (tptp.k2_relat_1 (tptp.k7_relat_1 C A)))))) true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.r1_tarski (tptp.k1_relat_1 _let_1) (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 B)))))) true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 C A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski A B) (and (= (tptp.k7_relat_1 _let_1 B) _let_1) (= (tptp.k7_relat_1 (tptp.k7_relat_1 C B) A) _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (tptp.v2_funct_1 (tptp.k7_relat_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= B (tptp.k8_relat_1 A C)) (and (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k1_relat_1 B)) (and (tptp.r2_hidden D (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 C D) A)))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden B (tptp.k1_relat_1 (tptp.k8_relat_1 A C))) (and (tptp.r2_hidden B (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k1_funct_1 C B) A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 B) (tptp.k1_funct_1 C B)))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.r1_tarski (tptp.k1_relat_1 _let_1) (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 B)))))) true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski A B) (and (= (tptp.k8_relat_1 B _let_1) _let_1) (= (tptp.k8_relat_1 A (tptp.k8_relat_1 B C)) _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (tptp.v2_funct_1 (tptp.k8_relat_1 A B))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.k9_relat_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.r2_hidden E (tptp.k1_relat_1 A)) (tptp.r2_hidden E B) (= D (tptp.k1_funct_1 A E)))))))))) true true true true true true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (= (tptp.k9_relat_1 B (tptp.k1_tarski A)) (tptp.k1_tarski (tptp.k1_funct_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A _let_1) (tptp.r2_hidden B _let_1)) (= (tptp.k9_relat_1 C (tptp.k2_tarski A B)) (tptp.k2_tarski (tptp.k1_funct_1 C A) (tptp.k1_funct_1 C B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k8_relat_1 A C) B) (tptp.k9_relat_1 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (= (tptp.k9_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k9_relat_1 A (tptp.k3_xboole_0 B C)) (tptp.k3_xboole_0 (tptp.k9_relat_1 A B) (tptp.k9_relat_1 A C)))) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (= (tptp.k9_relat_1 C (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k9_relat_1 A (tptp.k4_xboole_0 B C)) (tptp.k4_xboole_0 (tptp.k9_relat_1 A B) (tptp.k9_relat_1 A C)))) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_xboole_0 A B) (tptp.v2_funct_1 C)) (tptp.r1_xboole_0 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k9_relat_1 (tptp.k8_relat_1 A C) B) (tptp.k3_xboole_0 A (tptp.k9_relat_1 C B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.k10_relat_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.r2_hidden D (tptp.k1_relat_1 A)) (tptp.r2_hidden (tptp.k1_funct_1 A D) B)))))))) true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k10_relat_1 C (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k10_relat_1 C (tptp.k4_xboole_0 A B)) (tptp.k4_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (tptp.k10_relat_1 (tptp.k7_relat_1 C A) B) (tptp.k3_xboole_0 A (tptp.k10_relat_1 C B))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r2_hidden A (tptp.k2_relat_1 B)) (not (= (tptp.k10_relat_1 B (tptp.k1_tarski A)) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (= (tptp.k10_relat_1 B (tptp.k1_tarski C)) tptp.k1_xboole_0)))) (tptp.r1_tarski A (tptp.k2_relat_1 B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k2_relat_1 A)) (forall ((C $$unsorted)) (not (= (tptp.k10_relat_1 A (tptp.k1_tarski B)) (tptp.k1_tarski C))))))) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k9_relat_1 B (tptp.k10_relat_1 B A)) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski A (tptp.k1_relat_1 B)) (tptp.r1_tarski A (tptp.k10_relat_1 B (tptp.k9_relat_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A (tptp.k2_relat_1 B)) (= (tptp.k9_relat_1 B (tptp.k10_relat_1 B A)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k9_relat_1 B (tptp.k10_relat_1 B A)) (tptp.k3_xboole_0 A (tptp.k9_relat_1 B (tptp.k1_relat_1 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 C (tptp.k3_xboole_0 A (tptp.k10_relat_1 C B))) (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k9_relat_1 C (tptp.k3_xboole_0 A (tptp.k10_relat_1 C B))) (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (tptp.r1_tarski (tptp.k3_xboole_0 A (tptp.k10_relat_1 C B)) (tptp.k10_relat_1 C (tptp.k3_xboole_0 (tptp.k9_relat_1 C A) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (tptp.r1_tarski (tptp.k10_relat_1 B (tptp.k9_relat_1 B A)) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (forall ((B $$unsorted)) (tptp.r1_tarski (tptp.k10_relat_1 A (tptp.k9_relat_1 A B)) B)) (tptp.v2_funct_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (= (tptp.k9_relat_1 B A) (tptp.k10_relat_1 (tptp.k2_funct_1 B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (= (tptp.k10_relat_1 B A) (tptp.k9_relat_1 (tptp.k2_funct_1 B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= A (tptp.k2_relat_1 B)) (= (tptp.k1_relat_1 C) A) (= (tptp.k1_relat_1 D) A) (= (tptp.k5_relat_1 B C) (tptp.k5_relat_1 B D))) (= C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k9_relat_1 C A) (tptp.k9_relat_1 C B)) (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.v2_funct_1 C)) (tptp.r1_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B)) (tptp.r1_tarski A (tptp.k2_relat_1 C))) (tptp.r1_tarski A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_funct_1 A) (forall ((B $$unsorted)) (exists ((C $$unsorted)) (tptp.r1_tarski (tptp.k10_relat_1 A (tptp.k1_tarski B)) (tptp.k1_tarski C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k10_relat_1 B A) (tptp.k10_relat_1 (tptp.k5_relat_1 B C) (tptp.k9_relat_1 C A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (= (tptp.k10_relat_1 C A) (tptp.k10_relat_1 C B)) (tptp.r1_tarski A _let_1) (tptp.r1_tarski B _let_1)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k9_relat_1 (tptp.k6_relat_1 A) B) B))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v3_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v1_xboole_0 (tptp.k1_funct_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_relat_1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v1_xboole_0 (tptp.k1_funct_1 A B)))))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s1_funct_1 A B) (tptp.p1_s1_funct_1 A C)) (= B C))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_funct_1) (tptp.p1_s1_funct_1 B C))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_funct_1) (tptp.p1_s2_funct_1 A B) (tptp.p1_s2_funct_1 A C)) (= B C))) (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s2_funct_1) (forall ((B $$unsorted)) (not (tptp.p1_s2_funct_1 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s2_funct_1) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s2_funct_1) (tptp.p1_s2_funct_1 B (tptp.k1_funct_1 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s3_funct_1) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s3_funct_1) (= (tptp.k1_funct_1 A B) (tptp.f2_s3_funct_1 B)))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s4_funct_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_funct_1) (= (tptp.k1_funct_1 A B) (tptp.f2_s4_funct_1 B)))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r1_relat_2 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k4_tarski C C) A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r2_relat_2 A B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k4_tarski C C) A)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r3_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r2_hidden (tptp.k4_tarski C D) A)) (tptp.r2_hidden (tptp.k4_tarski D C) A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r4_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r2_hidden (tptp.k4_tarski C D) A) (tptp.r2_hidden (tptp.k4_tarski D C) A)) (= C D))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r5_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r2_hidden (tptp.k4_tarski C D) A) (tptp.r2_hidden (tptp.k4_tarski D C) A)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r6_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)) (not (tptp.r2_hidden (tptp.k4_tarski C D) A)) (not (tptp.r2_hidden (tptp.k4_tarski D C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r7_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (tptp.r2_hidden (tptp.k4_tarski C D) A)) (not (tptp.r2_hidden (tptp.k4_tarski D C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.r8_relat_2 A B) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (tptp.r2_hidden E B) (tptp.r2_hidden (tptp.k4_tarski C D) A) (tptp.r2_hidden (tptp.k4_tarski D E) A)) (tptp.r2_hidden (tptp.k4_tarski C E) A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_relat_2 A) (tptp.r1_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v2_relat_2 A) (tptp.r2_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_relat_2 A) (tptp.r3_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v4_relat_2 A) (tptp.r4_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v5_relat_2 A) (tptp.r5_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v6_relat_2 A) (tptp.r6_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v7_relat_2 A) (tptp.r7_relat_2 A (tptp.k3_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v8_relat_2 A) (tptp.r8_relat_2 A (tptp.k3_relat_1 A))))) true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_relat_2 A) (tptp.r1_tarski (tptp.k6_relat_1 (tptp.k3_relat_1 A)) A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v2_relat_2 A) (tptp.r1_xboole_0 (tptp.k6_relat_1 (tptp.k3_relat_1 A)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r4_relat_2 B A) (tptp.r5_relat_2 (tptp.k4_xboole_0 B (tptp.k6_relat_1 A)) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r5_relat_2 B A) (tptp.r4_relat_2 (tptp.k2_xboole_0 B (tptp.k6_relat_1 A)) A)))) true (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (and (tptp.v3_relat_2 A) (tptp.v8_relat_2 A)) (tptp.v1_relat_2 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (tptp.v4_relat_2 _let_1) (tptp.v1_relat_2 _let_1)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (and (tptp.v2_relat_2 A) (tptp.v8_relat_2 A)) (tptp.v5_relat_2 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v5_relat_2 A) (and (tptp.v2_relat_2 A) (tptp.v4_relat_2 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v1_relat_2 A) (tptp.v1_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_relat_2 A) (tptp.v2_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_relat_1 A))) (=> (tptp.v1_relat_1 A) (=> (tptp.v1_relat_2 A) (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 _let_1)) (= (tptp.k2_relat_1 A) (tptp.k2_relat_1 _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v3_relat_2 A) (= A (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v1_relat_2 A) (tptp.v1_relat_2 B)) (and (tptp.v1_relat_2 (tptp.k2_xboole_0 A B)) (tptp.v1_relat_2 (tptp.k3_xboole_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v2_relat_2 A) (tptp.v2_relat_2 B)) (and (tptp.v2_relat_2 (tptp.k2_xboole_0 A B)) (tptp.v2_relat_2 (tptp.k3_xboole_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v2_relat_2 A) (tptp.v2_relat_2 (tptp.k4_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v3_relat_2 A) (tptp.v3_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v3_relat_2 A) (tptp.v3_relat_2 B)) (and (tptp.v3_relat_2 (tptp.k2_xboole_0 A B)) (tptp.v3_relat_2 (tptp.k3_xboole_0 A B)) (tptp.v3_relat_2 (tptp.k4_xboole_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v5_relat_2 A) (tptp.v5_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v5_relat_2 A) (tptp.v5_relat_2 B)) (tptp.v5_relat_2 (tptp.k3_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v5_relat_2 A) (tptp.v5_relat_2 (tptp.k4_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v4_relat_2 A) (tptp.r1_tarski (tptp.k3_xboole_0 A (tptp.k4_relat_1 A)) (tptp.k6_relat_1 (tptp.k1_relat_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v4_relat_2 A) (tptp.v4_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.v4_relat_2 A) (and (tptp.v4_relat_2 (tptp.k3_xboole_0 A B)) (tptp.v4_relat_2 (tptp.k4_xboole_0 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v8_relat_2 A) (tptp.v8_relat_2 (tptp.k4_relat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (and (tptp.v8_relat_2 A) (tptp.v8_relat_2 B)) (tptp.v8_relat_2 (tptp.k3_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v8_relat_2 A) (tptp.r1_tarski (tptp.k5_relat_1 A A) A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (=> (tptp.v1_relat_1 A) (= (tptp.v6_relat_2 A) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.k6_relat_1 _let_1)) (tptp.k2_xboole_0 A (tptp.k4_relat_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v7_relat_2 A) (and (tptp.v6_relat_2 A) (tptp.v1_relat_2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (=> (tptp.v1_relat_1 A) (= (tptp.v7_relat_2 A) (= (tptp.k2_zfmisc_1 _let_1 _let_1) (tptp.k2_xboole_0 A (tptp.k4_relat_1 A))))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A)) (tptp.v3_ordinal1 A))) (exists ((A $$unsorted)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_xboole_0 A) (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A)))) (and _let_71 _let_73 _let_70 _let_72 _let_74 (tptp.v1_ordinal1 tptp.k1_xboole_0) (tptp.v2_ordinal1 tptp.k1_xboole_0) _let_177) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C D) (tptp.r2_hidden D A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r2_hidden B C) (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E F) (tptp.r2_hidden F A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A B) (tptp.r1_tarski B A)))) _let_181 true true (forall ((A $$unsorted)) (tptp.r2_hidden A (tptp.k1_ordinal1 A))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k1_ordinal1 A) (tptp.k1_ordinal1 B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_hidden A (tptp.k1_ordinal1 B)) (or (tptp.r2_hidden A B) (= A B)))) (forall ((A $$unsorted)) (not (= A (tptp.k1_ordinal1 A)))) _let_180 _let_179 _let_178 true true true true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v1_ordinal1 C) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden A B)) (tptp.r2_hidden C B)))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_xboole_0 A B) (tptp.r2_hidden A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r1_tarski A B) (tptp.r2_hidden B C)) (tptp.r2_hidden A C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden A B) (tptp.v3_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (not (tptp.r2_hidden A B)) (not (= A B)) (not (tptp.r2_hidden B A)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (tptp.r3_xboole_0 A B))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (or (tptp.r1_ordinal1 A B) (tptp.r2_hidden B A)))))) _let_177 true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v3_ordinal1 B) (tptp.r1_tarski B A)))) (tptp.v3_ordinal1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (tptp.r1_tarski A B) (not (= A tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (tptp.r1_ordinal1 C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A B) (tptp.r1_ordinal1 (tptp.k1_ordinal1 A) B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A (tptp.k1_ordinal1 B)) (tptp.r1_ordinal1 A B)))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))) (tptp.v3_ordinal1 (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (not (and (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (tptp.r1_tarski A B))))))) (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))))) (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (not (tptp.r2_hidden B A)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (not (tptp.r2_hidden C A)) (tptp.r1_ordinal1 B C))))))) true _let_176 true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.v4_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k1_ordinal1 B) A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v4_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (and (not (and (not _let_1) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (= A (tptp.k1_ordinal1 B))))))) (not (and (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (= A (tptp.k1_ordinal1 B)))) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v5_ordinal1 A) (tptp.v3_ordinal1 (tptp.k1_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (= (tptp.m1_ordinal1 B A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true true (forall ((A $$unsorted)) (tptp.m1_ordinal1 tptp.k1_xboole_0 A)) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v3_ordinal1 (tptp.k1_relat_1 A)) (tptp.m1_ordinal1 A (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.m1_ordinal1 C A) (tptp.m1_ordinal1 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_ordinal1 B A) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (tptp.m1_ordinal1 (tptp.k2_ordinal1 B C) A))))) _let_175 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_tarski A))) (=> (and (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)))) (tptp.v6_ordinal1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v5_ordinal1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (not (tptp.r2_xboole_0 A B)) (not (= A B)) (not (tptp.r2_xboole_0 B A)))))))) (=> (exists ((A $$unsorted)) (and (tptp.v3_ordinal1 A) (tptp.p1_s1_ordinal1 A))) (exists ((A $$unsorted)) (and (tptp.v3_ordinal1 A) (tptp.p1_s1_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.p1_s1_ordinal1 B) (tptp.r1_ordinal1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B A) (tptp.p1_s2_ordinal1 B)))) (tptp.p1_s2_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.p1_s2_ordinal1 A)))) (=> (and (= (tptp.k1_relat_1 tptp.f3_s3_ordinal1) tptp.f1_s3_ordinal1) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (and (tptp.r2_hidden A tptp.f1_s3_ordinal1) (= B (tptp.k2_ordinal1 tptp.f3_s3_ordinal1 A))) (= (tptp.k1_funct_1 tptp.f3_s3_ordinal1 A) (tptp.f2_s3_ordinal1 B))))))) (= (tptp.k1_relat_1 tptp.f4_s3_ordinal1) tptp.f1_s3_ordinal1) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (and (tptp.r2_hidden A tptp.f1_s3_ordinal1) (= B (tptp.k2_ordinal1 tptp.f4_s3_ordinal1 A))) (= (tptp.k1_funct_1 tptp.f4_s3_ordinal1 A) (tptp.f2_s3_ordinal1 B)))))))) (= tptp.f3_s3_ordinal1 tptp.f4_s3_ordinal1)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (= (tptp.k1_relat_1 A) tptp.f1_s4_ordinal1) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C)) (=> (and (tptp.r2_hidden B tptp.f1_s4_ordinal1) (= C (tptp.k2_ordinal1 A B))) (= (tptp.k1_funct_1 A B) (tptp.f2_s4_ordinal1 C))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f2_s5_ordinal1 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.f3_s5_ordinal1 C)) (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.f3_s5_ordinal1 (tptp.k2_ordinal1 C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s5_ordinal1)) (= (tptp.k1_funct_1 tptp.f1_s5_ordinal1 A) (tptp.f2_s5_ordinal1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s5_ordinal1)) (= (tptp.k1_funct_1 tptp.f1_s5_ordinal1 A) (tptp.f3_s5_ordinal1 (tptp.k2_ordinal1 tptp.f1_s5_ordinal1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_ordinal1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_ordinal1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.r1_ordinal1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (or (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (= (tptp.r1_ordinal1 A B) (tptp.r1_tarski A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.m1_ordinal1 (tptp.k2_ordinal1 A B) (tptp.k2_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v3_ordinal1 B)) (= (tptp.k2_ordinal1 A B) (tptp.k7_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (tptp.v1_relat_1 C))) _let_174 true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D B C) (=> (tptp.r1_tarski A D) (tptp.m2_relset_1 A B C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (not (and (tptp.r2_hidden C D) (forall ((E $$unsorted) (F $$unsorted)) (not (and (= C (tptp.k4_tarski E F)) (tptp.r2_hidden E A) (tptp.r2_hidden F B)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D B)) (tptp.m2_relset_1 (tptp.k1_tarski (tptp.k4_tarski C D)) A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k1_relat_1 B) A) (tptp.m2_relset_1 B A (tptp.k2_relat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 B) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (tptp.m2_relset_1 B (tptp.k1_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.v1_relat_1 C) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (=> (tptp.r1_tarski (tptp.k1_relat_1 D) B) (tptp.m2_relset_1 D B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) B) (tptp.m2_relset_1 D C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (=> (tptp.r1_tarski A B) (tptp.m2_relset_1 D B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (=> (tptp.r1_tarski A B) (tptp.m2_relset_1 D C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m2_relset_1 E A C) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.m2_relset_1 E B D)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.r1_tarski (tptp.k3_relat_1 C) (tptp.k2_xboole_0 A B)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski D E) C)))))) (= (tptp.k4_relset_1 B A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski E D) C)))))) (= (tptp.k5_relset_1 A B C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k6_relset_1 A B C))) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k4_relset_1 B A _let_1) (tptp.k5_relset_1 A B C)) (= (tptp.k5_relset_1 B A _let_1) (tptp.k4_relset_1 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.m2_relset_1 tptp.k1_xboole_0 A B)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (=> (tptp.m2_relset_1 C tptp.k1_xboole_0 B) (= C tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (=> (tptp.m2_relset_1 C B tptp.k1_xboole_0) (= C tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k6_relat_1 A) (tptp.k2_zfmisc_1 A A))) (forall ((A $$unsorted)) (tptp.m2_relset_1 (tptp.k6_relat_1 A) A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (=> (tptp.r1_tarski (tptp.k6_relat_1 C) D) (and (tptp.r1_tarski C (tptp.k4_relset_1 A B D)) (tptp.r1_tarski C (tptp.k5_relset_1 A B D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (=> (tptp.r1_tarski (tptp.k6_relat_1 B) C) (and (= B (tptp.k4_relset_1 B A C)) (tptp.r1_tarski B (tptp.k5_relset_1 B A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (=> (tptp.r1_tarski (tptp.k6_relat_1 B) C) (and (tptp.r1_tarski B (tptp.k4_relset_1 A B C)) (= B (tptp.k5_relset_1 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (tptp.m2_relset_1 (tptp.k8_relset_1 A C D B) B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D B A) (=> (tptp.r1_tarski B C) (= (tptp.k8_relset_1 B A D C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (tptp.m2_relset_1 (tptp.k9_relset_1 C A B D) C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (=> (tptp.r1_tarski B C) (= (tptp.k9_relset_1 A B C D) D)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k10_relset_1 A B C A) (tptp.k5_relset_1 A B C)) (= (tptp.k11_relset_1 A B C B) (tptp.k4_relset_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (and (= (tptp.k10_relset_1 B A C (tptp.k11_relset_1 B A C A)) (tptp.k5_relset_1 B A C)) (= (tptp.k11_relset_1 B A C (tptp.k10_relset_1 B A C B)) (tptp.k4_relset_1 B A C))))) true true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (=> (tptp.m2_relset_1 B A A) (and (= (tptp.k5_relat_1 B _let_1) B) (= (tptp.k5_relat_1 _let_1 B) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (= (tptp.k6_relat_1 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D (tptp.k4_relset_1 A B C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.r2_hidden (tptp.k4_tarski D E) C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.r2_hidden D (tptp.k5_relset_1 B A C)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E B) (tptp.r2_hidden (tptp.k4_tarski E D) C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (and (tptp.r2_hidden D (tptp.k4_relset_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (not (tptp.r2_hidden E (tptp.k5_relset_1 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m2_relset_1 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (and (tptp.r2_hidden D (tptp.k5_relset_1 B A C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (not (tptp.r2_hidden E (tptp.k4_relset_1 B A C))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_relset_1 E B C) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G C) (= (tptp.r2_hidden (tptp.k4_tarski F G) (tptp.k7_relset_1 A B B C D E)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H B) (tptp.r2_hidden (tptp.k4_tarski F H) D) (tptp.r2_hidden (tptp.k4_tarski H G) E)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D C A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E (tptp.k10_relset_1 C A D B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (tptp.r2_hidden (tptp.k4_tarski F E) D) (tptp.r2_hidden F B)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m2_relset_1 D A C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.r2_hidden E (tptp.k11_relset_1 A C D B)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (tptp.r2_hidden (tptp.k4_tarski E F) D) (tptp.r2_hidden F B)))))))))))))) (exists ((A $$unsorted)) (and (tptp.m2_relset_1 A tptp.f1_s1_relset_1 tptp.f2_s1_relset_1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_relset_1) (tptp.r2_hidden C tptp.f2_s1_relset_1) (tptp.p1_s1_relset_1 B C)))))) (exists ((A $$unsorted)) (and (tptp.m2_relset_1 A tptp.f1_s2_relset_1 tptp.f2_s2_relset_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_relset_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s2_relset_1) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (tptp.p1_s2_relset_1 B C)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_relset_1 C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m2_relset_1 C A B))) _let_173 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (tptp.m2_relset_1 (tptp.k1_relset_1 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k1_relset_1 A B C D) (tptp.k1_relset_1 A B D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k1_relset_1 A B C C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k1_relset_1 A B C D) (tptp.k2_xboole_0 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (tptp.m2_relset_1 (tptp.k2_relset_1 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k2_relset_1 A B C D) (tptp.k2_relset_1 A B D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k2_relset_1 A B C C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k2_relset_1 A B C D) (tptp.k3_xboole_0 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (tptp.m2_relset_1 (tptp.k3_relset_1 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_relset_1 C A B) (tptp.m1_relset_1 D A B)) (= (tptp.k3_relset_1 A B C D) (tptp.k4_xboole_0 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k4_relset_1 A B C) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k4_relset_1 A B C) (tptp.k1_relat_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k5_relset_1 A B C) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k5_relset_1 A B C) (tptp.k2_relat_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m2_relset_1 (tptp.k6_relset_1 A B C) B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B (tptp.k6_relset_1 A B C)) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k6_relset_1 A B C) (tptp.k4_relat_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_relset_1 E A B) (tptp.m1_relset_1 F C D)) (tptp.m2_relset_1 (tptp.k7_relset_1 A B C D E F) A D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_relset_1 E A B) (tptp.m1_relset_1 F C D)) (= (tptp.k7_relset_1 A B C D E F) (tptp.k5_relat_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m2_relset_1 (tptp.k8_relset_1 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k8_relset_1 A B C D) (tptp.k7_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 D A B) (tptp.m2_relset_1 (tptp.k9_relset_1 A B C D) A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 D A B) (= (tptp.k9_relset_1 A B C D) (tptp.k8_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k10_relset_1 A B C D) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k10_relset_1 A B C D) (tptp.k9_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 (tptp.k11_relset_1 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_relset_1 C A B) (= (tptp.k11_relset_1 A B C D) (tptp.k10_relat_1 C D)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k4_partfun1 A B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B A A) (tptp.v1_relat_1 B) (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v4_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_relat_1 A))) (=> (and _let_1 (tptp.v3_relat_2 A) (tptp.v8_relat_2 A)) (and _let_1 (tptp.v1_relat_2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_relat_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v3_relat_2 _let_1) (tptp.v4_relat_2 _let_1) (tptp.v8_relat_2 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (tptp.r1_tarski D (tptp.k2_zfmisc_1 E F))) (tptp.r1_tarski (tptp.k2_xboole_0 A D) (tptp.k2_zfmisc_1 (tptp.k2_xboole_0 B E) (tptp.k2_xboole_0 C F))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (not (and (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (not (= (tptp.k2_xboole_0 A B) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k2_xboole_0 A B) C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))))))))) true true true true true true _let_172 true true true true true true true true true true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_1) (and _let_1 (tptp.m2_relset_1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_1 (tptp.m2_relset_1 B (tptp.k1_relat_1 B) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k2_relat_1 D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A B D)) (tptp.r2_hidden (tptp.k1_funct_1 D C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k4_relset_1 A B D) C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (and _let_1 (tptp.m2_relset_1 D C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (and _let_1 (tptp.m2_relset_1 D A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 E))) (=> (and _let_1 (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B D)) (and _let_1 (tptp.m2_relset_1 E C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C D) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (= (tptp.k4_relset_1 A B C) (tptp.k4_relset_1 A B D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E _let_1 C)) (=> (and (= (tptp.k4_relset_1 _let_1 C D) (tptp.k4_relset_1 _let_1 C E)) (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 A B) C D)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1)))))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 (tptp.k6_relat_1 A) C) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.k5_relat_1 C (tptp.k6_relat_1 B)) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_relset_1 A B C))) (=> (tptp.m1_subset_1 E A) (=> (and (tptp.r2_hidden D _let_1) (tptp.r2_hidden E _let_1) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (tptp.v2_funct_1 C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (tptp.v2_funct_1 C) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k8_relset_1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k9_relset_1 A B C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B A))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C (tptp.k9_relat_1 D A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (not (and (tptp.r2_hidden E (tptp.k4_relset_1 A B D)) (= C (tptp.k1_funct_1 D E)))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k9_relat_1 C A) (tptp.k2_relat_1 C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k10_relat_1 C B) (tptp.k4_relset_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (and (= (tptp.k4_relset_1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k1_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (and (tptp.v1_funct_1 tptp.k1_xboole_0) (tptp.m2_relset_1 tptp.k1_xboole_0 A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D tptp.k1_xboole_0 B)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (and (= (tptp.k4_relset_1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0) (= (tptp.k2_relat_1 B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (= (tptp.k2_relat_1 C) tptp.k1_xboole_0) (and _let_1 (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (= B tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D B tptp.k1_xboole_0)) (= C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (tptp.v2_funct_1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k9_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A tptp.k1_xboole_0)) (= (tptp.k10_relat_1 C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C (tptp.k1_tarski A) B)) (tptp.v2_funct_1 C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k1_tarski A) B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and (tptp.v1_relat_1 D) _let_1) (=> (and (= (tptp.k1_relat_1 D) (tptp.k1_tarski A)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C)) (and _let_1 (tptp.m2_relset_1 D B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C (tptp.k4_relset_1 A _let_1 D)) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A _let_1)) (=> (= (tptp.k4_relset_1 A _let_1 C) (tptp.k4_relset_1 A _let_1 D)) (= C D))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k3_partfun1 A B C) (tptp.k7_relat_1 (tptp.k8_relat_1 C A) B))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 C A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (and (tptp.r1_tarski (tptp.k4_relset_1 A B _let_1) (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.r2_hidden A (tptp.k4_relset_1 B C (tptp.k3_partfun1 D B C))) (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_funct_1 D A) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 D A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (tptp.r2_hidden A B) (tptp.r2_hidden _let_1 C)) (= (tptp.k1_funct_1 (tptp.k3_partfun1 D B C) A) _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 D B C))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden A (tptp.k4_relset_1 B C _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k1_funct_1 D A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k3_partfun1 C A B) (tptp.k3_partfun1 D A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D A C) (tptp.k3_partfun1 D B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 D C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k3_partfun1 E A C) (tptp.k3_partfun1 E B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (= C (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= A (tptp.k3_partfun1 A (tptp.k1_relat_1 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.k3_partfun1 C A B) C))) true true true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k3_partfun1 tptp.k1_xboole_0 A B) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (tptp.r1_tarski (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r1_tarski (tptp.k3_xboole_0 (tptp.k2_relat_1 D) (tptp.k1_relat_1 E)) A) (= (tptp.k1_partfun1 C A A B (tptp.k3_partfun1 D C A) (tptp.k3_partfun1 E A B)) (tptp.k3_partfun1 (tptp.k5_relat_1 D E) C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (tptp.v2_funct_1 (tptp.k3_partfun1 C A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v2_funct_1 C) (= (tptp.k2_funct_1 (tptp.k3_partfun1 C A B)) (tptp.k3_partfun1 (tptp.k2_funct_1 C) B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k2_partfun1 A B (tptp.k3_partfun1 D A B) C) (tptp.k3_partfun1 D (tptp.k3_xboole_0 A C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k9_relset_1 B C A (tptp.k3_partfun1 D B C)) (tptp.k3_partfun1 D B (tptp.k3_xboole_0 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (= (tptp.v1_partfun1 C A B) (= (tptp.k4_relset_1 A B C) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v1_partfun1 C A B) (= B tptp.k1_xboole_0)) (= A tptp.k1_xboole_0)))) true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (tptp.v1_partfun1 B tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski A (tptp.k1_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) A B) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k2_relat_1 C) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k4_partfun1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (tptp.r1_tarski (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r2_hidden C (tptp.k4_partfun1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k4_partfun1 A B)) (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k1_tarski tptp.k1_xboole_0))) (forall ((A $$unsorted)) (= (tptp.k4_partfun1 A tptp.k1_xboole_0) (tptp.k1_tarski tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k4_partfun1 tptp.k1_xboole_0 A) (tptp.k4_partfun1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k4_partfun1 C A) (tptp.k4_partfun1 C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D)) (tptp.r1_tarski (tptp.k4_partfun1 A C) (tptp.k4_partfun1 B D)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k2_xboole_0 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.r1_tarski A C) (tptp.r1_tarski B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.r1_partfun1 A B) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)) (= A B)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A C) (tptp.r1_tarski B C)) (tptp.r1_partfun1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_tarski D C)) (tptp.r1_partfun1 D E)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_partfun1 tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 tptp.k1_xboole_0 A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A (tptp.k1_tarski B))) (tptp.r1_partfun1 C D))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k7_relat_1 B A) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 (tptp.k8_relat_1 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_partfun1 (tptp.k3_partfun1 C A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v1_partfun1 C A B) (tptp.v1_partfun1 D A B) (tptp.r1_partfun1 C D)) (= C D)))))) true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E) (tptp.v1_partfun1 E A B)) (tptp.r1_partfun1 C D)))))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E A B)) (not (and (tptp.v1_partfun1 E A B) (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (= (= D (tptp.k5_partfun1 A B C)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E D) (exists ((F $$unsorted)) (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F A B) (= F E) (tptp.v1_partfun1 F A B) (tptp.r1_partfun1 C F))))))))) true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.v1_partfun1 D A B)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A tptp.k1_xboole_0)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k5_partfun1 A tptp.k1_xboole_0 B) tptp.k1_xboole_0)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (= (tptp.v1_partfun1 C A B) (= (tptp.k5_partfun1 A B C) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)) (= (tptp.k5_partfun1 tptp.k1_xboole_0 A B) (tptp.k1_tarski tptp.k1_xboole_0)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (not (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (tptp.r1_partfun1 C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (tptp.r1_xboole_0 (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_partfun1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s1_partfun1 B))) (=> (tptp.r2_hidden B tptp.f1_s1_partfun1) (and (=> _let_2 (= _let_1 (tptp.f2_s1_partfun1 B))) (=> (not _let_2) (= _let_1 (tptp.f3_s1_partfun1 B)))))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B)) (tptp.r2_hidden B tptp.f2_s2_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_partfun1) (tptp.p1_s2_partfun1 A B) (tptp.p1_s2_partfun1 A C)) (= B C)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s2_partfun1 tptp.f2_s2_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s2_partfun1) (exists ((C $$unsorted)) (tptp.p1_s2_partfun1 B C))))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s2_partfun1 tptp.f2_s2_partfun1 A)) (tptp.p1_s2_partfun1 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.p1_s3_partfun1 A) (tptp.r2_hidden (tptp.f3_s3_partfun1 A) tptp.f2_s3_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A tptp.f1_s3_partfun1 tptp.f2_s3_partfun1) (forall ((B $$unsorted)) (= (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s3_partfun1) (tptp.p1_s3_partfun1 B)))) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k4_relset_1 tptp.f1_s3_partfun1 tptp.f2_s3_partfun1 A)) (= (tptp.k1_funct_1 A B) (tptp.f3_s3_partfun1 B))))))) (=> (and (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C)) (tptp.r2_hidden C tptp.f3_s4_partfun1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s4_partfun1) (tptp.r2_hidden B tptp.f2_s4_partfun1) (tptp.p1_s4_partfun1 A B C) (tptp.p1_s4_partfun1 A B D)) (= C D)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s4_partfun1) (tptp.r2_hidden C tptp.f2_s4_partfun1) (exists ((D $$unsorted)) (tptp.p1_s4_partfun1 B C D))))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s4_partfun1 tptp.f2_s4_partfun1) tptp.f3_s4_partfun1 A)) (tptp.p1_s4_partfun1 B C (tptp.k1_funct_1 A _let_1)))))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.p1_s5_partfun1 A B) (tptp.r2_hidden (tptp.f4_s5_partfun1 A B) tptp.f3_s5_partfun1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (and (tptp.r2_hidden B tptp.f1_s5_partfun1) (tptp.r2_hidden C tptp.f2_s5_partfun1) (tptp.p1_s5_partfun1 B C)))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k4_relset_1 (tptp.k2_zfmisc_1 tptp.f1_s5_partfun1 tptp.f2_s5_partfun1) tptp.f3_s5_partfun1 A)) (= (tptp.k1_funct_1 A _let_1) (tptp.f4_s5_partfun1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_partfun1 A B) (tptp.r1_partfun1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_partfun1 A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B C D E F))) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.m1_relset_1 E A B) (tptp.v1_funct_1 F) (tptp.m1_relset_1 F C D)) (= (tptp.k1_partfun1 A B C D E F) (tptp.k5_relat_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B C D))) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k2_partfun1 A B C D) (tptp.k7_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_partfun1 A B C))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 B C))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) _let_171 (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (tptp.r1_xboole_0 B A))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E F) (tptp.r2_hidden F B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.r2_hidden C D) (tptp.r2_hidden D E) (tptp.r2_hidden E F) (tptp.r2_hidden F G) (tptp.r2_hidden G B)) (tptp.r1_xboole_0 C A))))))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (forall ((B $$unsorted)) (= (= B (tptp.k1_mcart_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= A (tptp.k4_tarski C D)) (= B C))))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (forall ((B $$unsorted)) (= (= B (tptp.k2_mcart_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= A (tptp.k4_tarski C D)) (= B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (and (= (tptp.k1_mcart_1 _let_1) A) (= (tptp.k2_mcart_1 _let_1) B)))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (= (tptp.k4_tarski (tptp.k1_mcart_1 A) (tptp.k2_mcart_1 A)) A))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (and (or (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= B (tptp.k4_tarski C D))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (tptp.r2_hidden (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (tptp.r2_hidden (tptp.k2_mcart_1 A) C)) (or (forall ((D $$unsorted) (E $$unsorted)) (not (= A (tptp.k4_tarski D E)))) (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k1_tarski B) C)) (and (= (tptp.k1_mcart_1 A) B) (tptp.r2_hidden (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B (tptp.k1_tarski C))) (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (= (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k1_tarski B) (tptp.k1_tarski C))) (and (= (tptp.k1_mcart_1 A) B) (= (tptp.k2_mcart_1 A) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k2_tarski B C) D)) (and (or (= _let_1 B) (= _let_1 C)) (tptp.r2_hidden (tptp.k2_mcart_1 A) D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B (tptp.k2_tarski C D))) (and (tptp.r2_hidden (tptp.k1_mcart_1 A) B) (or (= _let_1 C) (= _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k2_tarski B C) (tptp.k1_tarski D))) (and (or (= _let_1 B) (= _let_1 C)) (= (tptp.k2_mcart_1 A) D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k1_tarski B) (tptp.k2_tarski C D))) (and (= (tptp.k1_mcart_1 A) B) (or (= _let_1 C) (= _let_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_mcart_1 A))) (let ((_let_2 (tptp.k1_mcart_1 A))) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 (tptp.k2_tarski B C) (tptp.k2_tarski D E))) (and (or (= _let_2 B) (= _let_2 C)) (or (= _let_1 D) (= _let_1 E))))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.k4_tarski B C))) (and (not (= A (tptp.k1_mcart_1 A))) (not (= A (tptp.k2_mcart_1 A)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (= A (tptp.k4_tarski (tptp.k1_mcart_1 A) (tptp.k2_mcart_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (= C (tptp.k4_tarski (tptp.k1_mcart_1 C) (tptp.k2_mcart_1 C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k2_zfmisc_1 (tptp.k2_tarski A B) (tptp.k2_tarski C D)) (tptp.k2_enumset1 (tptp.k4_tarski A C) (tptp.k4_tarski A D) (tptp.k4_tarski B C) (tptp.k4_tarski B D)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (and (not (= C (tptp.k1_mcart_1 C))) (not (= C (tptp.k2_mcart_1 C)))))))))) _let_170 true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.k3_mcart_1 A B C) (tptp.k3_mcart_1 D E F)) (and (= A D) (= B E) (= C F)))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (or (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= B (tptp.k3_mcart_1 C D E))))))))))) _let_169 true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_mcart_1 A B C D) (tptp.k4_tarski (tptp.k4_tarski (tptp.k4_tarski A B) C) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_mcart_1 A B C D) (tptp.k3_mcart_1 (tptp.k4_tarski A B) C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.k4_mcart_1 A B C D) (tptp.k4_mcart_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H)))) (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (not (and (or (tptp.r2_hidden C A) (tptp.r2_hidden D A)) (= B (tptp.k4_mcart_1 C D E F))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0))) (not (= (tptp.k3_zfmisc_1 A B C) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.k3_zfmisc_1 A B C) (tptp.k3_zfmisc_1 D E F)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (and (= A D) (= B E) (= C F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k3_zfmisc_1 A B C))) (=> (= _let_1 (tptp.k3_zfmisc_1 D E F)) (or (= _let_1 tptp.k1_xboole_0) (and (= A D) (= B E) (= C F)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k3_zfmisc_1 A A A) (tptp.k3_zfmisc_1 B B B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B) (tptp.k1_tarski C)) (tptp.k1_tarski (tptp.k3_mcart_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C) (tptp.k1_tarski D)) (tptp.k2_tarski (tptp.k3_mcart_1 A C D) (tptp.k3_mcart_1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C) (tptp.k1_tarski D)) (tptp.k2_tarski (tptp.k3_mcart_1 A B D) (tptp.k3_mcart_1 A C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B) (tptp.k2_tarski C D)) (tptp.k2_tarski (tptp.k3_mcart_1 A B C) (tptp.k3_mcart_1 A B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k2_tarski C D) (tptp.k1_tarski E)) (tptp.k2_enumset1 (tptp.k3_mcart_1 A C E) (tptp.k3_mcart_1 B C E) (tptp.k3_mcart_1 A D E) (tptp.k3_mcart_1 B D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k1_tarski C) (tptp.k2_tarski D E)) (tptp.k2_enumset1 (tptp.k3_mcart_1 A C D) (tptp.k3_mcart_1 B C D) (tptp.k3_mcart_1 A C E) (tptp.k3_mcart_1 B C E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k1_tarski A) (tptp.k2_tarski B C) (tptp.k2_tarski D E)) (tptp.k2_enumset1 (tptp.k3_mcart_1 A B D) (tptp.k3_mcart_1 A C D) (tptp.k3_mcart_1 A B E) (tptp.k3_mcart_1 A C E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_tarski A B) (tptp.k2_tarski C D) (tptp.k2_tarski E F)) (tptp.k6_enumset1 (tptp.k3_mcart_1 A C E) (tptp.k3_mcart_1 A D E) (tptp.k3_mcart_1 A C F) (tptp.k3_mcart_1 A D F) (tptp.k3_mcart_1 B C E) (tptp.k3_mcart_1 B D E) (tptp.k3_mcart_1 B C F) (tptp.k3_mcart_1 B D F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (= E (tptp.k5_mcart_1 A B C D)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= D (tptp.k3_mcart_1 F G H)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (= E (tptp.k6_mcart_1 A B C D)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= D (tptp.k3_mcart_1 F G H)) (= E G)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E C) (= (= E (tptp.k7_mcart_1 A B C D)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= D (tptp.k3_mcart_1 F G H)) (= E H)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (= D (tptp.k3_mcart_1 E F G)) (not (and (= (tptp.k5_mcart_1 A B C D) E) (= (tptp.k6_mcart_1 A B C D) F) (= (tptp.k7_mcart_1 A B C D) G)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (= D (tptp.k3_mcart_1 (tptp.k5_mcart_1 A B C D) (tptp.k6_mcart_1 A B C D) (tptp.k7_mcart_1 A B C D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (and (not (tptp.r1_tarski A (tptp.k3_zfmisc_1 A B C))) (not (tptp.r1_tarski A (tptp.k3_zfmisc_1 B C A))) (not (tptp.r1_tarski A (tptp.k3_zfmisc_1 C A B))))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 D))) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (and (= (tptp.k5_mcart_1 A B C D) (tptp.k1_mcart_1 _let_1)) (= (tptp.k6_mcart_1 A B C D) (tptp.k2_mcart_1 _let_1)) (= (tptp.k7_mcart_1 A B C D) (tptp.k2_mcart_1 D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (and (not (= D (tptp.k5_mcart_1 A B C D))) (not (= D (tptp.k6_mcart_1 A B C D))) (not (= D (tptp.k7_mcart_1 A B C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (not (tptp.r1_xboole_0 (tptp.k3_zfmisc_1 A B C) (tptp.k3_zfmisc_1 D E F))) (and (not (tptp.r1_xboole_0 A D)) (not (tptp.r1_xboole_0 B E)) (not (tptp.r1_xboole_0 C F))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 A B C D) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A B) C) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k3_zfmisc_1 (tptp.k2_zfmisc_1 A B) C D) (tptp.k4_zfmisc_1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0))) (not (= (tptp.k4_zfmisc_1 A B C D) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.k4_zfmisc_1 A B C D) (tptp.k4_zfmisc_1 E F G H)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (and (= A E) (= B F) (= C G) (= D H))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k4_zfmisc_1 A B C D))) (=> (= _let_1 (tptp.k4_zfmisc_1 E F G H)) (or (= _let_1 tptp.k1_xboole_0) (and (= A E) (= B F) (= C G) (= D H)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k4_zfmisc_1 A A A A) (tptp.k4_zfmisc_1 B B B B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (= F (tptp.k8_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F G)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (= F (tptp.k9_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F H)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (= (= F (tptp.k10_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F I)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F D) (= (= F (tptp.k11_mcart_1 A B C D E)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= E (tptp.k4_mcart_1 G H I J)) (= F J)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (= E (tptp.k4_mcart_1 F G H I)) (not (and (= (tptp.k8_mcart_1 A B C D E) F) (= (tptp.k9_mcart_1 A B C D E) G) (= (tptp.k10_mcart_1 A B C D E) H) (= (tptp.k11_mcart_1 A B C D E) I)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (= E (tptp.k4_mcart_1 (tptp.k8_mcart_1 A B C D E) (tptp.k9_mcart_1 A B C D E) (tptp.k10_mcart_1 A B C D E) (tptp.k11_mcart_1 A B C D E))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 E))) (let ((_let_2 (tptp.k1_mcart_1 _let_1))) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (and (= (tptp.k8_mcart_1 A B C D E) (tptp.k1_mcart_1 _let_2)) (= (tptp.k9_mcart_1 A B C D E) (tptp.k2_mcart_1 _let_2)) (= (tptp.k10_mcart_1 A B C D E) (tptp.k2_mcart_1 _let_1)) (= (tptp.k11_mcart_1 A B C D E) (tptp.k2_mcart_1 E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (and (not (= E (tptp.k8_mcart_1 A B C D E))) (not (= E (tptp.k9_mcart_1 A B C D E))) (not (= E (tptp.k10_mcart_1 A B C D E))) (not (= E (tptp.k11_mcart_1 A B C D E)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (and (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 A B C D))) (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 B C D A))) (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 C D A B))) (not (tptp.r1_tarski A (tptp.k4_zfmisc_1 D A B C))))) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (not (tptp.r1_xboole_0 (tptp.k4_zfmisc_1 A B C D) (tptp.k4_zfmisc_1 E F G H))) (and (not (tptp.r1_xboole_0 A E)) (not (tptp.r1_xboole_0 B F)) (not (tptp.r1_xboole_0 C G)) (not (tptp.r1_xboole_0 D H))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.k4_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B) (tptp.k1_tarski C) (tptp.k1_tarski D)) (tptp.k1_tarski (tptp.k4_mcart_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= (tptp.k2_zfmisc_1 A B) tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 A B)) (and (not (= C (tptp.k1_mcart_1 C))) (not (= C (tptp.k2_mcart_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k2_zfmisc_1 B C)) (and (not (= A (tptp.k1_mcart_1 A))) (not (= A (tptp.k2_mcart_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (and (= D (tptp.k3_mcart_1 E F G)) (not (and (= (tptp.k5_mcart_1 A B C D) E) (= (tptp.k6_mcart_1 A B C D) F) (= (tptp.k7_mcart_1 A B C D) G))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (=> (= E (tptp.k3_mcart_1 F G H)) (= D F)))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D (tptp.k5_mcart_1 A B C E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (=> (= E (tptp.k3_mcart_1 F G H)) (= D G)))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D (tptp.k6_mcart_1 A B C E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k3_zfmisc_1 A B C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (=> (= E (tptp.k3_mcart_1 F G H)) (= D H)))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D (tptp.k7_mcart_1 A B C E)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k3_zfmisc_1 B C D)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (not (and (tptp.r2_hidden E B) (tptp.r2_hidden F C) (tptp.r2_hidden G D) (= A (tptp.k3_mcart_1 E F G)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.r2_hidden (tptp.k3_mcart_1 A B C) (tptp.k3_zfmisc_1 D E F)) (and (tptp.r2_hidden A D) (tptp.r2_hidden B E) (tptp.r2_hidden C F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (forall ((E $$unsorted)) (= (tptp.r2_hidden E A) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (and (tptp.r2_hidden F B) (tptp.r2_hidden G C) (tptp.r2_hidden H D) (= E (tptp.k3_mcart_1 F G H)))))) (= A (tptp.k3_zfmisc_1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (= E tptp.k1_xboole_0)) (not (= F tptp.k1_xboole_0)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k3_zfmisc_1 A B C)) (exists ((H $$unsorted)) (and (tptp.m1_subset_1 H (tptp.k3_zfmisc_1 D E F)) (= G H) (not (and (= (tptp.k5_mcart_1 A B C G) (tptp.k5_mcart_1 D E F H)) (= (tptp.k6_mcart_1 A B C G) (tptp.k6_mcart_1 D E F H)) (= (tptp.k7_mcart_1 A B C G) (tptp.k7_mcart_1 D E F H))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k3_zfmisc_1 A B C)) (=> (tptp.r2_hidden G (tptp.k3_zfmisc_1 D E F)) (and (tptp.r2_hidden (tptp.k5_mcart_1 A B C G) D) (tptp.r2_hidden (tptp.k6_mcart_1 A B C G) E) (tptp.r2_hidden (tptp.k7_mcart_1 A B C G) F))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D) (tptp.r1_tarski E F)) (tptp.r1_tarski (tptp.k3_zfmisc_1 A C E) (tptp.k3_zfmisc_1 B D F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (exists ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (and (= E (tptp.k4_mcart_1 F G H I)) (not (and (= (tptp.k8_mcart_1 A B C D E) F) (= (tptp.k9_mcart_1 A B C D E) G) (= (tptp.k10_mcart_1 A B C D E) H) (= (tptp.k11_mcart_1 A B C D E) I))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E G)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k8_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E H)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k9_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E I)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k10_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k4_zfmisc_1 A B C D)) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I C) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J D) (=> (= F (tptp.k4_mcart_1 G H I J)) (= E J)))))))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= D tptp.k1_xboole_0) (= E (tptp.k11_mcart_1 A B C D F)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k4_zfmisc_1 B C D E)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted)) (not (and (tptp.r2_hidden F B) (tptp.r2_hidden G C) (tptp.r2_hidden H D) (tptp.r2_hidden I E) (= A (tptp.k4_mcart_1 F G H I)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.r2_hidden (tptp.k4_mcart_1 A B C D) (tptp.k4_zfmisc_1 E F G H)) (and (tptp.r2_hidden A E) (tptp.r2_hidden B F) (tptp.r2_hidden C G) (tptp.r2_hidden D H)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (forall ((F $$unsorted)) (= (tptp.r2_hidden F A) (exists ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (and (tptp.r2_hidden G B) (tptp.r2_hidden H C) (tptp.r2_hidden I D) (tptp.r2_hidden J E) (= F (tptp.k4_mcart_1 G H I J)))))) (= A (tptp.k4_zfmisc_1 B C D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= C tptp.k1_xboole_0)) (not (= D tptp.k1_xboole_0)) (not (= E tptp.k1_xboole_0)) (not (= F tptp.k1_xboole_0)) (not (= G tptp.k1_xboole_0)) (not (= H tptp.k1_xboole_0)) (exists ((I $$unsorted)) (and (tptp.m1_subset_1 I (tptp.k4_zfmisc_1 A B C D)) (exists ((J $$unsorted)) (and (tptp.m1_subset_1 J (tptp.k4_zfmisc_1 E F G H)) (= I J) (not (and (= (tptp.k8_mcart_1 A B C D I) (tptp.k8_mcart_1 E F G H J)) (= (tptp.k9_mcart_1 A B C D I) (tptp.k9_mcart_1 E F G H J)) (= (tptp.k10_mcart_1 A B C D I) (tptp.k10_mcart_1 E F G H J)) (= (tptp.k11_mcart_1 A B C D I) (tptp.k11_mcart_1 E F G H J))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.k4_zfmisc_1 A B C D)) (=> (tptp.r2_hidden I (tptp.k4_zfmisc_1 E F G H)) (and (tptp.r2_hidden (tptp.k8_mcart_1 A B C D I) E) (tptp.r2_hidden (tptp.k9_mcart_1 A B C D I) F) (tptp.r2_hidden (tptp.k10_mcart_1 A B C D I) G) (tptp.r2_hidden (tptp.k11_mcart_1 A B C D I) H))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C D) (tptp.r1_tarski E F) (tptp.r1_tarski G H)) (tptp.r1_tarski (tptp.k4_zfmisc_1 A C E G) (tptp.k4_zfmisc_1 B D F H)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k15_mcart_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k1_mcart_1 (tptp.k1_funct_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k16_mcart_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k2_mcart_1 (tptp.k1_funct_1 A C))))))))))) _let_168 _let_167 _let_166 _let_165 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski F (tptp.k4_tarski D E)))) (let ((_let_2 (tptp.k4_tarski (tptp.k4_tarski A B) C))) (and (= (tptp.k17_mcart_1 _let_2) A) (= (tptp.k18_mcart_1 _let_2) B) (= (tptp.k19_mcart_1 _let_1) D) (= (tptp.k20_mcart_1 _let_1) E))))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (tptp.m1_subset_1 (tptp.k5_mcart_1 A B C D) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (tptp.m1_subset_1 (tptp.k6_mcart_1 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k3_zfmisc_1 A B C)) (tptp.m1_subset_1 (tptp.k7_mcart_1 A B C D) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k8_mcart_1 A B C D E) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k9_mcart_1 A B C D E) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k10_mcart_1 A B C D E) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_zfmisc_1 A B C D)) (tptp.m1_subset_1 (tptp.k11_mcart_1 A B C D E) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (tptp.m1_subset_1 (tptp.k12_mcart_1 A B C D) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B))) (= (tptp.k12_mcart_1 A B C D) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C))) (tptp.m1_subset_1 (tptp.k13_mcart_1 A B C D E F) (tptp.k1_zfmisc_1 (tptp.k3_zfmisc_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C))) (= (tptp.k13_mcart_1 A B C D E F) (tptp.k3_zfmisc_1 D E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D))) (tptp.m1_subset_1 (tptp.k14_mcart_1 A B C D E F G H) (tptp.k1_zfmisc_1 (tptp.k4_zfmisc_1 A B C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 C)) (tptp.m1_subset_1 H (tptp.k1_zfmisc_1 D))) (= (tptp.k14_mcart_1 A B C D E F G H) (tptp.k4_zfmisc_1 E F G H)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_mcart_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k16_mcart_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (and (tptp.m1_relset_1 C A B) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_1 (tptp.v1_partfun1 C A B)) (and _let_1 (tptp.v1_funct_2 C A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k1_funct_2 A A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1 (tptp.v3_funct_2 C A B)) (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 (tptp.v2_funct_1 C) _let_1 (tptp.v2_funct_2 C A B)) (and _let_2 _let_1 (tptp.v3_funct_2 C A B))))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B A A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 B A A))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (tptp.m1_relset_1 B A A) (=> (and _let_2 (tptp.v1_partfun1 B A A) (tptp.v1_relat_2 B) _let_1) (and _let_2 (tptp.v2_funct_1 B) _let_1 (tptp.v2_funct_2 B A A) (tptp.v3_funct_2 B A A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (tptp.m1_relset_1 C A B) (=> (and _let_2 _let_1) (and _let_2 (not (tptp.v1_xboole_0 C)) (tptp.v1_partfun1 C A B) _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_2 C A B))) (let ((_let_2 (= A tptp.k1_xboole_0))) (let ((_let_3 (= B tptp.k1_xboole_0))) (=> (tptp.m2_relset_1 C A B) (and (=> (=> _let_3 _let_2) (= _let_1 (= A (tptp.k4_relset_1 A B C)))) (=> _let_3 (or _let_2 (= _let_1 (= C tptp.k1_xboole_0)))))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k1_relat_1 A))) (let ((_let_3 (tptp.v1_funct_1 A))) (=> (and (tptp.v1_relat_1 A) _let_3) (and _let_3 (tptp.v1_funct_2 A _let_2 _let_1) (tptp.m2_relset_1 A _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_2) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) A) (and _let_2 (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 C))) (=> (and (tptp.v1_relat_1 C) _let_1) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r2_hidden (tptp.k1_funct_1 C D) B)))) (and _let_1 (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 D C) (tptp.k2_relat_1 D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 D) C) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and _let_1 (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 D))) (=> (and _let_1 (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski B C) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and _let_1 (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.k1_funct_2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (= D E) (= (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r2_hidden C (tptp.k1_funct_2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (tptp.r2_hidden B (tptp.k1_funct_2 A A)))) true (forall ((A $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k1_funct_2 A tptp.k1_xboole_0) tptp.k1_xboole_0))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (= D (tptp.k1_funct_1 C E)))))))) (or (= B tptp.k1_xboole_0) (= (tptp.k2_relat_1 C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (not (and (tptp.r2_hidden C B) (= (tptp.k2_relat_1 D) B) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E A) (= (tptp.k1_funct_1 D E) C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_partfun1 A B B C D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (not (and (= B tptp.k1_xboole_0) (not (= C tptp.k1_xboole_0)) (not (= A tptp.k1_xboole_0)))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (= (tptp.k2_relat_1 D) B) (= (tptp.k2_relat_1 E) C)) (or (= B tptp.k1_xboole_0) (= C tptp.k1_xboole_0) (= (tptp.k2_relat_1 (tptp.k1_partfun1 A B B C D E)) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (tptp.r2_hidden C A) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k5_relat_1 D E) C) (tptp.k1_funct_1 E (tptp.k1_funct_1 D C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (not (= B tptp.k1_xboole_0)) (= (= (tptp.k2_relat_1 C) B) (forall ((D $$unsorted)) (=> (not (= D tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B D) (tptp.m2_relset_1 E B D)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m2_relset_1 F B D)) (=> (= (tptp.k1_partfun1 A B B D C E) (tptp.k1_partfun1 A B B D C F)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m2_relset_1 C A B) (and (= (tptp.k7_relset_1 A A A B (tptp.k6_partfun1 A) C) C) (= (tptp.k7_relset_1 A B B B C (tptp.k6_partfun1 B)) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (= (tptp.k1_partfun1 B A A B D C) (tptp.k6_partfun1 B)) (= (tptp.k2_relat_1 C) B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E A) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 C E))) (= D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (tptp.v2_funct_1 (tptp.k1_partfun1 A B B C D E)) (or (and (= C tptp.k1_xboole_0) (not _let_1)) (and _let_1 (not (= A tptp.k1_xboole_0))) (tptp.v2_funct_1 D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (not (and (not (= A tptp.k1_xboole_0)) (not (= B tptp.k1_xboole_0)) (not (= (tptp.v2_funct_1 C) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E D A) (tptp.m2_relset_1 E D A)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F D A) (tptp.m2_relset_1 F D A)) (=> (= (tptp.k1_partfun1 D A A B E C) (tptp.k1_partfun1 D A A B F C)) (= E F)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (= (tptp.k2_relat_1 (tptp.k1_partfun1 A B B C D E)) C) (tptp.v2_funct_1 E)) (or (= C tptp.k1_xboole_0) (= (tptp.k2_relat_1 D) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)) (or (= B tptp.k1_xboole_0) (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 D) A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m2_relset_1 E B C)) (=> (and (tptp.v2_funct_1 (tptp.k1_partfun1 A B B C D E)) (= (tptp.k2_relat_1 D) B)) (or (and (= C tptp.k1_xboole_0) (not (= B tptp.k1_xboole_0))) (and (tptp.v2_funct_1 D) (tptp.v2_funct_1 E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 C) B)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (and (tptp.v2_funct_1 D) (tptp.r2_hidden C A)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k2_funct_1 D) (tptp.k1_funct_1 D C)) C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (= (tptp.k2_relat_1 C) B) (tptp.v2_funct_1 C) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (and (tptp.r2_hidden E B) (= (tptp.k1_funct_1 D E) F)))) (let ((_let_2 (and (tptp.r2_hidden F A) (= (tptp.k1_funct_1 C F) E)))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= D (tptp.k2_funct_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (and (= (tptp.k2_relat_1 C) B) (tptp.v2_funct_1 C)) (or (= B tptp.k1_xboole_0) (and (= (tptp.k5_relat_1 C _let_1) (tptp.k6_partfun1 A)) (= (tptp.k5_relat_1 _let_1 C) (tptp.k6_partfun1 B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (= (tptp.k2_relat_1 C) B) (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)) (tptp.v2_funct_1 C)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (= D (tptp.k2_funct_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (not (and (not (= B tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A) (= (tptp.k1_partfun1 A B B A C D) (tptp.k6_partfun1 A)))) (not (tptp.v2_funct_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A B D C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C A) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 C B) (tptp.m2_relset_1 _let_1 C B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski A C) (= (tptp.k2_partfun1 A B D C) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 E C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden _let_1 D)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k9_relset_1 A B D E) C) _let_1)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (=> (exists ((F $$unsorted)) (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))) (tptp.r2_hidden E (tptp.k9_relat_1 D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (tptp.r1_tarski (tptp.k9_relat_1 D C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k2_funct_2 A B C A) (tptp.k2_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (not (= B tptp.k1_xboole_0)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E (tptp.k10_relat_1 D C)) (and (tptp.r2_hidden E A) (tptp.r2_hidden (tptp.k1_funct_1 D E) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (tptp.r1_tarski (tptp.k10_relat_1 D C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k3_funct_2 A B C B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D B) (= (tptp.k3_funct_2 A B C (tptp.k1_tarski D)) tptp.k1_xboole_0)))) (= (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski C A) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r1_tarski C (tptp.k3_funct_2 A B D (tptp.k2_funct_2 A B D C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k3_funct_2 A B C (tptp.k2_funct_2 A B C A)) A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (let ((_let_1 (= B tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (not (and (=> (= C tptp.k1_xboole_0) _let_1) (=> _let_1 (= A tptp.k1_xboole_0)) (not (tptp.r1_tarski (tptp.k3_funct_2 A B E D) (tptp.k3_funct_2 A C (tptp.k1_partfun1 A B B C E F) (tptp.k2_funct_2 B C F D))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 B))) (=> (and (tptp.v1_relat_1 B) _let_1) (=> (= (tptp.k1_relat_1 B) tptp.k1_xboole_0) (and _let_1 (tptp.v1_funct_2 B tptp.k1_xboole_0 A) (tptp.m2_relset_1 B tptp.k1_xboole_0 A)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k1_xboole_0 A) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k2_funct_2 tptp.k1_xboole_0 A C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k1_xboole_0 A) (tptp.m2_relset_1 C tptp.k1_xboole_0 A)) (= (tptp.k3_funct_2 tptp.k1_xboole_0 A C B) tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k1_funct_1 C A) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (= (tptp.k2_relat_1 C) (tptp.k1_tarski (tptp.k1_funct_1 C A))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B)) (=> (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski (tptp.k2_funct_2 _let_1 B D C) (tptp.k1_tarski (tptp.k1_funct_1 D A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 D C) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k4_relset_1 A A B) A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r2_hidden B A) (= (tptp.k1_funct_1 (tptp.k5_relat_1 C D) B) (tptp.k1_funct_1 D (tptp.k1_funct_1 C B)))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k2_relat_1 B) A) (= (tptp.k2_relat_1 C) A)) (= (tptp.k2_relat_1 (tptp.k4_funct_2 A B C)) A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (tptp.m2_relset_1 B A A) (and (= (tptp.k7_relset_1 A A A A B _let_1) B) (= (tptp.k7_relset_1 A A A A _let_1 B) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k4_funct_2 A B C) B) (= (tptp.k2_relat_1 B) A)) (= C (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (and (= (tptp.k4_funct_2 A C B) B) (tptp.v2_funct_1 B)) (= C (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.v2_funct_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))) (= C D)))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k2_funct_2 A A B A) (tptp.k2_relat_1 B)))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k3_funct_2 A A B (tptp.k2_funct_2 A A B A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v2_funct_2 C A B) (= (tptp.k2_relat_1 C) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v3_funct_2 C A B) (and (tptp.v2_funct_1 C) (tptp.v2_funct_2 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 B A A))) (let ((_let_2 (tptp.v1_funct_2 B A A))) (let ((_let_3 (tptp.v1_funct_1 B))) (=> (and _let_3 _let_2 _let_1) (=> (and (tptp.v2_funct_1 B) (= (tptp.k2_relat_1 B) A)) (and _let_3 _let_2 (tptp.v3_funct_2 B A A) _let_1))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (=> (tptp.v2_funct_1 B) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 B D))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k5_funct_2 A B C) C) (= B (tptp.k6_partfun1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (= (tptp.k5_funct_2 A B C) (tptp.k6_partfun1 A)) (= C (tptp.k6_funct_2 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (let ((_let_2 (tptp.k6_funct_2 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m2_relset_1 B A A)) (and (= (tptp.k5_funct_2 A B _let_2) _let_1) (= (tptp.k5_funct_2 A _let_2 B) _let_1)))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_tarski B A) (and (= (tptp.k2_funct_2 A A C (tptp.k3_funct_2 A A C B)) B) (= (tptp.k3_funct_2 A A C (tptp.k2_funct_2 A A C B)) B))))) true true true true true true true true true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))) (= C D)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k2_funct_2 A B D C)) (forall ((F $$unsorted)) (not (and (tptp.r2_hidden F A) (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E (tptp.k2_funct_2 A B D C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (not (and (tptp.r2_hidden F C) (= E (tptp.k1_funct_1 D F))))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (and (tptp.r2_hidden F A) (tptp.r2_hidden G B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))) (= D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E B)) (or (= C tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k1_funct_1 F (tptp.k4_tarski D E)) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (=> (tptp.m1_subset_1 G B) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_funct_1 E _let_1))))))) (= D E)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden C (tptp.k1_funct_2 A B)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (= (tptp.k4_relset_1 A B C) A) (and _let_2 (tptp.v1_funct_2 C A B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (tptp.v1_partfun1 C A B) (and _let_2 (tptp.v1_funct_2 C A B) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.m2_relset_1 C A B))) (let ((_let_2 (tptp.v1_funct_1 C))) (=> (and _let_2 _let_1) (=> (and _let_2 (tptp.v1_funct_2 C A B) _let_1) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.v1_partfun1 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.v1_partfun1 (tptp.k3_partfun1 C A B) A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (tptp.v1_partfun1 (tptp.k3_partfun1 B A A) A A))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (exists ((E $$unsorted)) (and (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (not (= (tptp.k1_funct_1 D E) (tptp.k1_funct_1 C E))))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_funct_2 A B) (tptp.k4_partfun1 A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_partfun1 C D) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_partfun1 B C) (= B C)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k4_relset_1 A B C)) (= (tptp.k1_funct_1 C E) (tptp.k1_funct_1 D E)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.r1_partfun1 B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k4_relset_1 A A B)) (= (tptp.k1_funct_1 B D) (tptp.k1_funct_1 C D))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (not (tptp.r1_partfun1 C D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A) (tptp.r1_partfun1 B C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E)) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r1_partfun1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A A) (tptp.m2_relset_1 D A A)) (=> (and (tptp.r1_partfun1 B D) (tptp.r1_partfun1 C D)) (tptp.r1_partfun1 B C)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (tptp.r1_partfun1 C D) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (not (and (tptp.r1_partfun1 C E) (tptp.r1_partfun1 D E))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_partfun1 C D) (or (and (= B tptp.k1_xboole_0) (not (= A tptp.k1_xboole_0))) (tptp.r2_hidden D (tptp.k5_partfun1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r1_partfun1 B C) (tptp.r2_hidden C (tptp.k5_partfun1 A A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k5_partfun1 A B C)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k1_funct_2 A B)))) _let_164 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k5_partfun1 A B (tptp.k3_partfun1 C A B)) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k5_partfun1 A A (tptp.k3_partfun1 B A A)) (tptp.k1_tarski B)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A (tptp.k1_tarski B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.k5_partfun1 A _let_1 C) (tptp.k1_tarski D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.r1_tarski D C) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.r1_tarski (tptp.k4_relset_1 A B D) (tptp.k4_relset_1 A B C)) (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (tptp.r1_tarski D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (tptp.r1_tarski (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D)) (forall ((E $$unsorted)) (not (= B (tptp.k1_tarski E))))) (tptp.r1_tarski D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (and (forall ((E $$unsorted)) (not (= B (tptp.k1_tarski E)))) (= (tptp.k5_partfun1 A B C) (tptp.k5_partfun1 A B D))) (= C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= D (tptp.k9_funct_2 A B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden C (tptp.k1_funct_2 A B)) (and (= (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B))))) (=> (forall ((A $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s1_funct_2) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B tptp.f2_s1_funct_2) (tptp.p1_s1_funct_2 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s1_funct_2 tptp.f2_s1_funct_2) (tptp.m2_relset_1 A tptp.f1_s1_funct_2 tptp.f2_s1_funct_2) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s1_funct_2) (tptp.p1_s1_funct_2 B (tptp.k1_funct_1 A B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s2_funct_2) (tptp.r2_hidden (tptp.f3_s2_funct_2 A) tptp.f2_s2_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s2_funct_2 tptp.f2_s2_funct_2) (tptp.m2_relset_1 A tptp.f1_s2_funct_2 tptp.f2_s2_funct_2) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B tptp.f1_s2_funct_2) (= (tptp.k1_funct_1 A B) (tptp.f3_s2_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s3_funct_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s3_funct_2) (tptp.p1_s3_funct_2 A B))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s3_funct_2 tptp.f2_s3_funct_2) (tptp.m2_relset_1 A tptp.f1_s3_funct_2 tptp.f2_s3_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_funct_2) (tptp.p1_s3_funct_2 B (tptp.k8_funct_2 tptp.f1_s3_funct_2 tptp.f2_s3_funct_2 A B))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s4_funct_2 tptp.f2_s4_funct_2) (tptp.m2_relset_1 A tptp.f1_s4_funct_2 tptp.f2_s4_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_funct_2) (= (tptp.k8_funct_2 tptp.f1_s4_funct_2 tptp.f2_s4_funct_2 A B) (tptp.f3_s4_funct_2 B)))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s5_funct_2) (tptp.r2_hidden B tptp.f2_s5_funct_2) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C tptp.f3_s5_funct_2) (tptp.p1_s5_funct_2 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s5_funct_2 tptp.f2_s5_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s5_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s5_funct_2) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s5_funct_2) (tptp.r2_hidden C tptp.f2_s5_funct_2)) (tptp.p1_s5_funct_2 B C (tptp.k1_funct_1 A (tptp.k4_tarski B C))))))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s6_funct_2) (tptp.r2_hidden B tptp.f2_s6_funct_2)) (tptp.r2_hidden (tptp.f4_s6_funct_2 A B) tptp.f3_s6_funct_2))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s6_funct_2 tptp.f2_s6_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s6_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s6_funct_2) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s6_funct_2) (tptp.r2_hidden C tptp.f2_s6_funct_2)) (= (tptp.k1_funct_1 A (tptp.k4_tarski B C)) (tptp.f4_s6_funct_2 B C)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s7_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s7_funct_2) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f3_s7_funct_2) (tptp.p1_s7_funct_2 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s7_funct_2 tptp.f2_s7_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s7_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s7_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s7_funct_2) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s7_funct_2) (tptp.p1_s7_funct_2 B C (tptp.k1_funct_1 A (tptp.k4_tarski B C))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s8_funct_2 tptp.f2_s8_funct_2))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f3_s8_funct_2) (tptp.m2_relset_1 A _let_1 tptp.f3_s8_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s8_funct_2) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s8_funct_2) (= (tptp.k1_funct_1 A (tptp.k4_tarski B C)) (tptp.f4_s8_funct_2 B C))))))))) (=> (forall ((A $$unsorted)) (let ((_let_1 (tptp.p1_s9_funct_2 A))) (=> (tptp.r2_hidden A tptp.f1_s9_funct_2) (and (=> _let_1 (tptp.r2_hidden (tptp.f3_s9_funct_2 A) tptp.f2_s9_funct_2)) (=> (not _let_1) (tptp.r2_hidden (tptp.f4_s9_funct_2 A) tptp.f2_s9_funct_2)))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s9_funct_2 tptp.f2_s9_funct_2) (tptp.m2_relset_1 A tptp.f1_s9_funct_2 tptp.f2_s9_funct_2) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s9_funct_2 B))) (=> (tptp.r2_hidden B tptp.f1_s9_funct_2) (and (=> _let_2 (= _let_1 (tptp.f3_s9_funct_2 B))) (=> (not _let_2) (= _let_1 (tptp.f4_s9_funct_2 B))))))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s10_funct_2 tptp.f2_s10_funct_2) (tptp.m2_relset_1 A tptp.f1_s10_funct_2 tptp.f2_s10_funct_2) (= (tptp.k8_funct_2 tptp.f1_s10_funct_2 tptp.f2_s10_funct_2 A tptp.f3_s10_funct_2) tptp.f4_s10_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s10_funct_2) (=> (not (= B tptp.f3_s10_funct_2)) (= (tptp.k8_funct_2 tptp.f1_s10_funct_2 tptp.f2_s10_funct_2 A B) (tptp.f5_s10_funct_2 B))))))) (=> (not (= tptp.f3_s11_funct_2 tptp.f4_s11_funct_2)) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s11_funct_2 tptp.f2_s11_funct_2) (tptp.m2_relset_1 A tptp.f1_s11_funct_2 tptp.f2_s11_funct_2) (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A tptp.f3_s11_funct_2) tptp.f5_s11_funct_2) (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A tptp.f4_s11_funct_2) tptp.f6_s11_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s11_funct_2) (not (and (not (= B tptp.f3_s11_funct_2)) (not (= B tptp.f4_s11_funct_2)) (not (= (tptp.k8_funct_2 tptp.f1_s11_funct_2 tptp.f2_s11_funct_2 A B) (tptp.f7_s11_funct_2 B)))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s12_funct_2) (tptp.r2_hidden (tptp.f3_s12_funct_2 A) tptp.f2_s12_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s12_funct_2 tptp.f2_s12_funct_2) (tptp.m2_relset_1 A tptp.f1_s12_funct_2 tptp.f2_s12_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s12_funct_2) (= (tptp.k8_funct_2 tptp.f1_s12_funct_2 tptp.f2_s12_funct_2 A B) (tptp.f3_s12_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s13_funct_2) (tptp.m1_subset_1 (tptp.f3_s13_funct_2 A) tptp.f2_s13_funct_2))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s13_funct_2 tptp.f2_s13_funct_2) (tptp.m2_relset_1 A tptp.f1_s13_funct_2 tptp.f2_s13_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s13_funct_2) (= (tptp.k8_funct_2 tptp.f1_s13_funct_2 tptp.f2_s13_funct_2 A B) (tptp.f3_s13_funct_2 B))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s14_funct_2) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f2_s14_funct_2) (tptp.p1_s14_funct_2 A B))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s14_funct_2 tptp.f2_s14_funct_2) (tptp.m2_relset_1 A tptp.f1_s14_funct_2 tptp.f2_s14_funct_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s14_funct_2) (tptp.p1_s14_funct_2 B (tptp.k8_funct_2 tptp.f1_s14_funct_2 tptp.f2_s14_funct_2 A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k2_funct_2 A B C D) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (= (tptp.k2_funct_2 A B C D) (tptp.k9_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (tptp.m1_subset_1 (tptp.k3_funct_2 A B C D) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m1_relset_1 C A B)) (= (tptp.k3_funct_2 A B C D) (tptp.k10_relat_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_funct_2 A B C))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_funct_2 A B C) (tptp.k5_relat_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_funct_2 A B C))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.v3_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.v3_funct_2 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_funct_2 A B C) (tptp.k5_relat_1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_funct_2 A B))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A A) (tptp.v3_funct_2 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.v3_funct_2 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k6_funct_2 A B) (tptp.k2_funct_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k7_funct_2 A B C D E))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m1_relset_1 E B C)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A C) (tptp.m2_relset_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B C) (tptp.m1_relset_1 E B C)) (= (tptp.k7_funct_2 A B C D E) (tptp.k5_relat_1 D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k8_funct_2 A B C D) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D A)) (= (tptp.k8_funct_2 A B C D) (tptp.k1_funct_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)))) (let ((_let_3 (tptp.k9_funct_2 A B C))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (= (tptp.k6_relat_1 A) (tptp.k7_relat_1 (tptp.k6_relat_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski A (tptp.k1_relat_1 (tptp.k5_relat_1 B C))) (tptp.r1_tarski (tptp.k9_relat_1 B A) (tptp.k1_relat_1 C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k9_relat_1 B A) (tptp.k1_relat_1 C))) (tptp.r1_tarski A (tptp.k1_relat_1 (tptp.k5_relat_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k2_relat_1 (tptp.k5_relat_1 B C))) (tptp.v2_funct_1 C)) (tptp.r1_tarski (tptp.k10_relat_1 C A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski A (tptp.k2_relat_1 C)) (tptp.r1_tarski (tptp.k10_relat_1 C A) (tptp.k2_relat_1 B))) (tptp.r1_tarski A (tptp.k2_relat_1 (tptp.k5_relat_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 C) _let_1) (= (tptp.k1_relat_1 D) _let_1) (forall ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k4_tarski E F))) (=> (and (tptp.r2_hidden E A) (tptp.r2_hidden F B)) (= (tptp.k1_funct_1 C _let_1) (tptp.k1_funct_1 D _let_1)))))) (= C D))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k1_funct_3 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_zfmisc_1 (tptp.k1_relat_1 A))) (forall ((C $$unsorted)) (=> (tptp.r1_tarski C (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k9_relat_1 A C)))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_3 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k9_relat_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_funct_1 (tptp.k1_funct_3 A) tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k1_funct_3 A)) (tptp.k1_zfmisc_1 (tptp.k2_relat_1 A))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k1_funct_3 B) A) (tptp.k1_zfmisc_1 (tptp.k2_relat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k10_relat_1 (tptp.k1_funct_3 B) A) (tptp.k1_zfmisc_1 (tptp.k1_relat_1 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C)) (tptp.r1_tarski (tptp.k10_relat_1 (tptp.k1_funct_3 D) B) (tptp.k1_zfmisc_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k3_tarski (tptp.k9_relat_1 (tptp.k1_funct_3 B) A)) (tptp.k9_relat_1 B (tptp.k3_tarski A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A (tptp.k1_zfmisc_1 (tptp.k1_relat_1 B))) (= (tptp.k9_relat_1 B (tptp.k3_tarski A)) (tptp.k3_tarski (tptp.k9_relat_1 (tptp.k1_funct_3 B) A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A C) (tptp.m2_relset_1 D A C)) (=> (tptp.r1_tarski B (tptp.k1_zfmisc_1 A)) (= (tptp.k2_funct_2 A C D (tptp.k3_tarski B)) (tptp.k3_tarski (tptp.k9_relat_1 (tptp.k1_funct_3 D) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k3_tarski (tptp.k10_relat_1 (tptp.k1_funct_3 B) A)) (tptp.k10_relat_1 B (tptp.k3_tarski A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A (tptp.k1_zfmisc_1 (tptp.k2_relat_1 B))) (= (tptp.k10_relat_1 B (tptp.k3_tarski A)) (tptp.k3_tarski (tptp.k10_relat_1 (tptp.k1_funct_3 B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k1_funct_3 (tptp.k5_relat_1 A B)) (tptp.k5_relat_1 (tptp.k1_funct_3 A) (tptp.k1_funct_3 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k2_relat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.k1_relat_1 A)))) (let ((_let_3 (tptp.k1_funct_3 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (let ((_let_2 (tptp.k1_zfmisc_1 A))) (let ((_let_3 (tptp.k1_funct_3 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k3_funct_3 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_zfmisc_1 (tptp.k2_relat_1 A))) (forall ((C $$unsorted)) (=> (tptp.r1_tarski C (tptp.k2_relat_1 A)) (= (tptp.k1_funct_1 B C) (tptp.k10_relat_1 A C)))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_funct_3 B))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 A) (tptp.k10_relat_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k3_funct_3 A)) (tptp.k1_zfmisc_1 (tptp.k1_relat_1 A))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k3_funct_3 B) A) (tptp.k1_zfmisc_1 (tptp.k1_relat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k10_relat_1 (tptp.k3_funct_3 B) A) (tptp.k1_zfmisc_1 (tptp.k2_relat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k3_tarski (tptp.k9_relat_1 (tptp.k3_funct_3 B) A)) (tptp.k10_relat_1 B (tptp.k3_tarski A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A (tptp.k1_zfmisc_1 (tptp.k2_relat_1 B))) (= (tptp.k3_tarski (tptp.k9_relat_1 (tptp.k3_funct_3 B) A)) (tptp.k10_relat_1 B (tptp.k3_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k3_tarski (tptp.k10_relat_1 (tptp.k3_funct_3 B) A)) (tptp.k9_relat_1 B (tptp.k3_tarski A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.r1_tarski A (tptp.k1_zfmisc_1 (tptp.k1_relat_1 B))) (tptp.v2_funct_1 B)) (= (tptp.k3_tarski (tptp.k10_relat_1 (tptp.k3_funct_3 B) A)) (tptp.k9_relat_1 B (tptp.k3_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k3_funct_3 B) A) (tptp.k10_relat_1 (tptp.k1_funct_3 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (= (tptp.k9_relat_1 (tptp.k3_funct_3 B) A) (tptp.k10_relat_1 (tptp.k1_funct_3 B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B (tptp.k1_zfmisc_1 (tptp.k1_relat_1 A))) (tptp.r1_tarski (tptp.k10_relat_1 (tptp.k3_funct_3 A) B) (tptp.k9_relat_1 (tptp.k1_funct_3 A) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.v2_funct_1 A) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k1_funct_3 A) B) (tptp.k10_relat_1 (tptp.k3_funct_3 A) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_funct_1 A) (tptp.r1_tarski B (tptp.k1_zfmisc_1 (tptp.k1_relat_1 A)))) (= (tptp.k10_relat_1 (tptp.k3_funct_3 A) B) (tptp.k9_relat_1 (tptp.k1_funct_3 A) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v2_funct_1 B) (= (tptp.k3_funct_3 (tptp.k5_relat_1 A B)) (tptp.k5_relat_1 (tptp.k3_funct_3 B) (tptp.k3_funct_3 A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k1_relat_1 A)))) (let ((_let_2 (tptp.k1_zfmisc_1 (tptp.k2_relat_1 A)))) (let ((_let_3 (tptp.k3_funct_3 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k4_funct_3 A B)) (and (= (tptp.k1_relat_1 C) B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C D))) (let ((_let_2 (tptp.r2_hidden D A))) (=> (tptp.r2_hidden D B) (and (=> _let_2 (= _let_1 tptp.np__1)) (=> (not _let_2) (= _let_1 tptp.np__0))))))))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.k1_funct_1 (tptp.k4_funct_3 B C) A) tptp.np__1) (tptp.r2_hidden A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden A (tptp.k4_xboole_0 B C)) (= (tptp.k1_funct_1 (tptp.k4_funct_3 C B) A) tptp.np__0))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski C B) (= (tptp.k4_funct_3 A B) (tptp.k4_funct_3 C B))) (= A C))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k4_funct_3 A B)) (tptp.k2_tarski tptp.np__0 tptp.np__1))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski tptp.np__0 tptp.np__1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1)) (= B (tptp.k4_funct_3 (tptp.k3_funct_2 A _let_1 B (tptp.k1_tarski tptp.np__1)) A))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k6_funct_3 A B) (tptp.k7_relat_1 (tptp.k6_relat_1 A) B)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (=> (tptp.r2_hidden A C) (tptp.r2_hidden (tptp.k1_funct_1 (tptp.k6_funct_3 B C) A) B)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k7_funct_3 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E B)) (= (tptp.k1_funct_1 C (tptp.k4_tarski D E)) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k8_funct_3 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D A) (tptp.r2_hidden E B)) (= (tptp.k1_funct_1 C (tptp.k4_tarski D E)) E))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k7_funct_3 A B)) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k2_relat_1 (tptp.k7_funct_3 B A)) B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k8_funct_3 A B)) B)) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A tptp.k1_xboole_0)) (= (tptp.k2_relat_1 (tptp.k8_funct_3 A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k11_funct_3 A)) (and (= (tptp.k1_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 B C) (tptp.k4_tarski C C)))))))) true true true (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k11_funct_3 A)) (tptp.k2_zfmisc_1 A A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k13_funct_3 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k3_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (= (tptp.k1_funct_1 C D) (tptp.k4_tarski (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B D))))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden A (tptp.k3_xboole_0 (tptp.k1_relat_1 B) (tptp.k1_relat_1 C))) (= (tptp.k1_funct_1 (tptp.k13_funct_3 B C) A) (tptp.k4_tarski (tptp.k1_funct_1 B A) (tptp.k1_funct_1 C A)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 C) B) (= (tptp.k1_relat_1 D) B) (tptp.r2_hidden A B)) (= (tptp.k1_funct_1 (tptp.k13_funct_3 C D) A) (tptp.k4_tarski (tptp.k1_funct_1 C A) (tptp.k1_funct_1 D A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (= (tptp.k1_relat_1 B) A) (= (tptp.k1_relat_1 C) A)) (= (tptp.k1_relat_1 (tptp.k13_funct_3 B C)) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k13_funct_3 A B)) (tptp.k2_zfmisc_1 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_funct_3 C D))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 D)) (tptp.r1_tarski (tptp.k2_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 D) B)) (and (= (tptp.k5_relat_1 _let_1 (tptp.k9_funct_3 A B)) C) (= (tptp.k5_relat_1 _let_1 (tptp.k10_funct_3 A B)) D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k13_funct_3 (tptp.k9_funct_3 A B) (tptp.k10_funct_3 A B)) (tptp.k6_relat_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_relat_1 D) (tptp.k1_relat_1 C)) (= (tptp.k13_funct_3 A B) (tptp.k13_funct_3 D C))) (and (= A D) (= B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k13_funct_3 (tptp.k5_relat_1 C A) (tptp.k5_relat_1 C B)) (tptp.k5_relat_1 C (tptp.k13_funct_3 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k13_funct_3 B C) A) (tptp.k2_zfmisc_1 (tptp.k9_relat_1 B A) (tptp.k9_relat_1 C A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k10_relat_1 (tptp.k13_funct_3 C D) (tptp.k2_zfmisc_1 A B)) (tptp.k3_xboole_0 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 D B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (let ((_let_2 (tptp.k13_funct_3 D E))) (let ((_let_3 (= A tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m2_relset_1 E A C)) (not (and (=> (= B tptp.k1_xboole_0) _let_3) (=> (= C tptp.k1_xboole_0) _let_3) (not (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m2_relset_1 E A C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k8_funct_2 A (tptp.k2_zfmisc_1 B C) (tptp.k14_funct_3 A B C D E) F) (tptp.k4_tarski (tptp.k8_funct_2 A B D F) (tptp.k8_funct_2 A C E F))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m2_relset_1 E A C)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k13_funct_3 D E)) (tptp.k2_zfmisc_1 B C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k13_funct_3 D E))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m2_relset_1 E A C)) (not (and (=> (= B tptp.k1_xboole_0) _let_2) (=> (= C tptp.k1_xboole_0) _let_2) (not (and (= (tptp.k5_relat_1 _let_1 (tptp.k9_funct_3 B C)) D) (= (tptp.k5_relat_1 _let_1 (tptp.k10_funct_3 B C)) E))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k14_funct_3 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 B C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m2_relset_1 E A C)) (and (= (tptp.k7_funct_2 A _let_2 B _let_1 (tptp.k9_funct_3 B C)) D) (= (tptp.k7_funct_2 A _let_2 C _let_1 (tptp.k10_funct_3 B C)) E)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A C) (tptp.m2_relset_1 F A C)) (forall ((G $$unsorted)) (let ((_let_1 (not (= A tptp.k1_xboole_0)))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G A C) (tptp.m2_relset_1 G A C)) (=> (= (tptp.k13_funct_3 D F) (tptp.k13_funct_3 E G)) (or (and (= B tptp.k1_xboole_0) _let_1) (and (= C tptp.k1_xboole_0) _let_1) (and (= D E) (= F G))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A C) (tptp.m2_relset_1 F A C)) (forall ((G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G A C) (tptp.m2_relset_1 G A C)) (=> (= (tptp.k14_funct_3 A B C D F) (tptp.k14_funct_3 A B C E G)) (and (= D E) (= F G))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k15_funct_3 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.r2_hidden D (tptp.k1_relat_1 A)) (tptp.r2_hidden E (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 C (tptp.k4_tarski D E)) (tptp.k4_tarski (tptp.k1_funct_1 A D) (tptp.k1_funct_1 B E))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 (tptp.k2_zfmisc_1 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 (tptp.k15_funct_3 A B) _let_1) (tptp.k4_tarski (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k15_funct_3 A B) (tptp.k13_funct_3 (tptp.k5_relat_1 (tptp.k9_funct_3 _let_2 _let_1) A) (tptp.k5_relat_1 (tptp.k10_funct_3 _let_2 _let_1) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k2_relat_1 (tptp.k15_funct_3 A B)) (tptp.k2_zfmisc_1 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (= (tptp.k1_relat_1 B) A) (= (tptp.k1_relat_1 C) A)) (= (tptp.k13_funct_3 B C) (tptp.k5_relat_1 (tptp.k12_funct_3 A) (tptp.k15_funct_3 B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k15_funct_3 (tptp.k6_relat_1 A) (tptp.k6_relat_1 B)) (tptp.k6_relat_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k5_relat_1 (tptp.k13_funct_3 B D) (tptp.k15_funct_3 A C)) (tptp.k13_funct_3 (tptp.k5_relat_1 B A) (tptp.k5_relat_1 D C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k5_relat_1 (tptp.k15_funct_3 B D) (tptp.k15_funct_3 A C)) (tptp.k15_funct_3 (tptp.k5_relat_1 B A) (tptp.k5_relat_1 D C))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k9_relat_1 (tptp.k15_funct_3 C D) (tptp.k2_zfmisc_1 A B)) (tptp.k2_zfmisc_1 (tptp.k9_relat_1 C A) (tptp.k9_relat_1 D B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (= (tptp.k10_relat_1 (tptp.k15_funct_3 C D) (tptp.k2_zfmisc_1 A B)) (tptp.k2_zfmisc_1 (tptp.k10_relat_1 C A) (tptp.k10_relat_1 D B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B D))) (let ((_let_2 (tptp.k2_zfmisc_1 A C))) (let ((_let_3 (tptp.k15_funct_3 E F))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m2_relset_1 F C D)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m2_relset_1 F C D)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H C) (= (tptp.k1_funct_1 (tptp.k16_funct_3 A C B D E F) (tptp.k4_tarski G H)) (tptp.k4_tarski (tptp.k8_funct_2 A B E G) (tptp.k8_funct_2 C D F H))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F C D) (tptp.m2_relset_1 F C D)) (not (and (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (=> (= D tptp.k1_xboole_0) (= C tptp.k1_xboole_0)) (not (= (tptp.k16_funct_3 A C B D E F) (tptp.k13_funct_3 (tptp.k5_relat_1 (tptp.k9_funct_3 A C) E) (tptp.k5_relat_1 (tptp.k10_funct_3 A C) F)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m2_relset_1 E A C)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m2_relset_1 F B D)) (= (tptp.k16_funct_3 A B C D E F) (tptp.k13_funct_3 (tptp.k5_relat_1 (tptp.k9_funct_3 A B) E) (tptp.k5_relat_1 (tptp.k10_funct_3 A B) F))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m2_relset_1 E A C)) (= (tptp.k13_funct_3 D E) (tptp.k5_relat_1 (tptp.k12_funct_3 A) (tptp.k16_funct_3 A A B C D E))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (let ((_let_2 (tptp.k2_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k2_funct_2 (tptp.k2_zfmisc_1 _let_1 _let_2) _let_1 (tptp.k9_funct_3 _let_1 _let_2) A) _let_1))))) (=> (and (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s1_funct_3) (tptp.r2_hidden B tptp.f2_s1_funct_3) (tptp.p1_s1_funct_3 A B C) (tptp.p1_s1_funct_3 A B D)) (= C D))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.r2_hidden A tptp.f1_s1_funct_3) (tptp.r2_hidden B tptp.f2_s1_funct_3) (forall ((C $$unsorted)) (not (tptp.p1_s1_funct_3 A B C))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) (tptp.k2_zfmisc_1 tptp.f1_s1_funct_3 tptp.f2_s1_funct_3)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s1_funct_3) (tptp.r2_hidden C tptp.f2_s1_funct_3)) (tptp.p1_s1_funct_3 B C (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) (tptp.k2_zfmisc_1 tptp.f1_s2_funct_3 tptp.f2_s2_funct_3)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B tptp.f1_s2_funct_3) (tptp.r2_hidden C tptp.f2_s2_funct_3)) (= (tptp.k1_funct_1 A (tptp.k4_tarski B C)) (tptp.f3_s2_funct_3 B C)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_funct_3 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 B))) (let ((_let_2 (tptp.k1_zfmisc_1 A))) (let ((_let_3 (tptp.k2_funct_3 A B C))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B)) (= (tptp.k2_funct_3 A B C) (tptp.k1_funct_3 C)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_funct_3 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_funct_3 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski tptp.np__0 tptp.np__1))) (let ((_let_2 (tptp.k5_funct_3 A B))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 B _let_1) (tptp.m2_relset_1 _let_2 B _let_1))))) _let_163 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_funct_3 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k6_funct_3 A B) (tptp.k6_relat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_funct_3 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_funct_3 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k9_funct_3 A B))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 A) (tptp.m2_relset_1 _let_2 _let_1 A))))) _let_162 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k10_funct_3 A B))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 B) (tptp.m2_relset_1 _let_2 _let_1 B))))) _let_161 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_funct_3 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (let ((_let_2 (tptp.k12_funct_3 A))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1))))) _let_160 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k13_funct_3 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (let ((_let_2 (tptp.k14_funct_3 A B C D E))) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m1_relset_1 E A C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m1_relset_1 D A B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m1_relset_1 E A C)) (= (tptp.k14_funct_3 A B C D E) (tptp.k13_funct_3 D E)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k15_funct_3 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C D))) (let ((_let_2 (tptp.k2_zfmisc_1 A B))) (let ((_let_3 (tptp.k16_funct_3 A B C D E F))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m1_relset_1 E A C) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m1_relset_1 F B D)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m1_relset_1 E A C) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m1_relset_1 F B D)) (= (tptp.k16_funct_3 A B C D E F) (tptp.k15_funct_3 E F)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_xboole_0 tptp.k1_xboole_0))) (let ((_let_2 (tptp.v1_funct_2 A _let_1 tptp.k1_xboole_0))) (let ((_let_3 (tptp.v1_funct_1 A))) (=> (tptp.m1_relset_1 A _let_1 tptp.k1_xboole_0) (=> (and _let_3 _let_2) (and _let_3 (tptp.v1_xboole_0 A) _let_2 (tptp.v1_binop_1 A tptp.k1_xboole_0) (tptp.v2_binop_1 A tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 A B C) (tptp.k1_funct_1 A (tptp.k4_tarski B C)))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 C) (tptp.m2_relset_1 E _let_1 C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (= (tptp.k2_binop_1 A B C D F G) (tptp.k2_binop_1 A B C E F G)))))) (= D E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v1_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 B C D) (tptp.k1_binop_1 B D C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v2_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_binop_1 B C (tptp.k1_binop_1 B D E)) (tptp.k1_binop_1 B (tptp.k1_binop_1 B C D) E)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v3_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k1_binop_1 B C C) C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r1_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 C B D) D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r2_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 C D B) D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r3_binop_1 A B C) (and (tptp.r1_binop_1 A B C) (tptp.r2_binop_1 A B C)))))))) true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.r3_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (and (= (tptp.k1_binop_1 B C D) D) (= (tptp.k1_binop_1 B D C) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 B C D) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_binop_1 B D C) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (tptp.r1_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r3_binop_1 A C B) (tptp.r2_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (=> (tptp.v1_binop_1 B A) (= (tptp.r1_binop_1 A C B) (tptp.r2_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (and (tptp.r1_binop_1 A C B) (tptp.r2_binop_1 A D B)) (= C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (=> (and (tptp.r3_binop_1 A C B) (tptp.r3_binop_1 A D B)) (= C D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (=> (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (tptp.r3_binop_1 A C B))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (= C (tptp.k3_binop_1 A B)) (tptp.r3_binop_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r4_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k1_binop_1 B D (tptp.k1_binop_1 C E F)) (tptp.k1_binop_1 C (tptp.k1_binop_1 B D E) (tptp.k1_binop_1 B D F)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r5_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k1_binop_1 B (tptp.k1_binop_1 C D E) F) (tptp.k1_binop_1 C (tptp.k1_binop_1 B D F) (tptp.k1_binop_1 B E F)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r6_binop_1 A B C) (and (tptp.r4_binop_1 A B C) (tptp.r5_binop_1 A B C))))))))) true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r6_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_binop_1 B D F))) (=> (tptp.m1_subset_1 F A) (and (= (tptp.k1_binop_1 B D (tptp.k1_binop_1 C E F)) (tptp.k1_binop_1 C (tptp.k1_binop_1 B D E) _let_1)) (= (tptp.k1_binop_1 B (tptp.k1_binop_1 C D E) F) (tptp.k1_binop_1 C _let_1 (tptp.k1_binop_1 B E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A C D (tptp.k2_binop_1 A A A B E F)) (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A C D E) (tptp.k2_binop_1 A A A C D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A C (tptp.k2_binop_1 A A A B D E) F) (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A C D F) (tptp.k2_binop_1 A A A C E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (tptp.r4_binop_1 A C B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r6_binop_1 A C B) (tptp.r5_binop_1 A C B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.v1_binop_1 C A) (= (tptp.r5_binop_1 A C B) (tptp.r4_binop_1 A C B))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r7_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k1_funct_1 B (tptp.k1_binop_1 C D E)) (tptp.k1_binop_1 C (tptp.k1_funct_1 B D) (tptp.k1_funct_1 B E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v1_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_binop_1 A A A B C D) (tptp.k2_binop_1 A A A B D C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v2_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k2_binop_1 A A A B C (tptp.k2_binop_1 A A A B D E)) (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A B C D) E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v3_binop_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k2_binop_1 A A A B C C) C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r1_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_binop_1 A A A C B D) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r2_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k2_binop_1 A A A C D B) D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r4_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A B D (tptp.k2_binop_1 A A A C E F)) (tptp.k2_binop_1 A A A C (tptp.k2_binop_1 A A A B D E) (tptp.k2_binop_1 A A A B D F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r5_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (= (tptp.k2_binop_1 A A A B (tptp.k2_binop_1 A A A C D E) F) (tptp.k2_binop_1 A A A C (tptp.k2_binop_1 A A A B D F) (tptp.k2_binop_1 A A A B E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r7_binop_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k8_funct_2 A A B (tptp.k2_binop_1 A A A C D E)) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 A A B D) (tptp.k8_funct_2 A A B E))))))))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_binop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_binop_1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f1_s1_binop_1) (tptp.p1_s1_binop_1 A B C))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s1_binop_1 tptp.f1_s1_binop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f1_s1_binop_1) (tptp.m2_relset_1 A _let_1 tptp.f1_s1_binop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_binop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_binop_1) (tptp.p1_s1_binop_1 B C (tptp.k2_binop_1 tptp.f1_s1_binop_1 tptp.f1_s1_binop_1 tptp.f1_s1_binop_1 A B C)))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s2_binop_1 tptp.f1_s2_binop_1))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f1_s2_binop_1) (tptp.m2_relset_1 A _let_1 tptp.f1_s2_binop_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_binop_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_binop_1) (= (tptp.k2_binop_1 tptp.f1_s2_binop_1 tptp.f1_s2_binop_1 tptp.f1_s2_binop_1 A B C) (tptp.f2_s2_binop_1 B C))))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (tptp.m1_subset_1 (tptp.k2_binop_1 A B C D E F) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C) (tptp.m1_subset_1 E A) (tptp.m1_subset_1 F B)) (= (tptp.k2_binop_1 A B C D E F) (tptp.k1_binop_1 D E F))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (tptp.m1_subset_1 (tptp.k3_binop_1 A B) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_funct_4 A B C D))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (not (and (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted) (D $$unsorted)) (not (= B (tptp.k4_tarski C D))))))) (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k5_relat_1 B A) (tptp.k5_relat_1 B (tptp.k7_relat_1 A (tptp.k2_relat_1 B)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k6_partfun1 A) (tptp.k6_partfun1 B)) (tptp.r1_tarski A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k2_funcop_1 A C) (tptp.k2_funcop_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_funcop_1 A B) (tptp.k2_funcop_1 C D)) (tptp.r1_tarski A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.r1_tarski (tptp.k2_funcop_1 A B) (tptp.k2_funcop_1 C D)) (or (= A tptp.k1_xboole_0) (= B D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.r1_tarski (tptp.k2_funcop_1 (tptp.k1_tarski A) (tptp.k1_funct_1 B A)) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (tptp.r1_tarski (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k7_relat_1 (tptp.k8_relat_1 A C) B) (tptp.k7_relat_1 (tptp.k8_relat_1 A D) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k1_funct_4 A B)) (and (= (tptp.k1_relat_1 C) (tptp.k2_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C D))) (let ((_let_2 (tptp.k1_relat_1 B))) (let ((_let_3 (tptp.r2_hidden D _let_2))) (=> (tptp.r2_hidden D (tptp.k2_xboole_0 (tptp.k1_relat_1 A) _let_2)) (and (=> _let_3 (= _let_1 (tptp.k1_funct_1 B D))) (=> (not _let_3) (= _let_1 (tptp.k1_funct_1 A D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 (tptp.k1_funct_4 A B)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.r1_tarski (tptp.k1_relat_1 A) _let_1) (tptp.r1_tarski (tptp.k1_relat_1 B) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (not (tptp.r2_hidden A (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 (tptp.k1_funct_4 C B) A) (tptp.k1_funct_1 C A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden A (tptp.k1_relat_1 (tptp.k1_funct_4 B C))) (or (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.r2_hidden A (tptp.k1_relat_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 (tptp.k1_funct_4 C B) A) (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k1_funct_4 (tptp.k1_funct_4 A B) C) (tptp.k1_funct_4 A (tptp.k1_funct_4 B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_partfun1 B C) (tptp.r2_hidden A (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 (tptp.k1_funct_4 B C) A) (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_xboole_0 _let_1 (tptp.k1_relat_1 C)) (tptp.r2_hidden A _let_1)) (= (tptp.k1_funct_1 (tptp.k1_funct_4 B C) A) (tptp.k1_funct_1 B A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k1_funct_4 A B)) (tptp.k2_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 (tptp.k1_funct_4 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_funct_4 A B) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_funct_4 tptp.k1_xboole_0 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_funct_4 A tptp.k1_xboole_0) A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_funct_4 (tptp.k6_partfun1 A) (tptp.k6_partfun1 B)) (tptp.k6_partfun1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) (tptp.k1_relat_1 B)) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k7_relat_1 (tptp.k1_funct_4 A B) (tptp.k4_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B))) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski A (tptp.k1_funct_4 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_partfun1 A (tptp.k1_funct_4 B C)) (tptp.r1_partfun1 (tptp.k7_relat_1 A (tptp.k4_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 C))) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_partfun1 A (tptp.k1_funct_4 B C)) (tptp.r1_partfun1 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (tptp.r1_tarski A (tptp.k1_funct_4 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k1_funct_4 A B) (tptp.k2_xboole_0 A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (= (tptp.k2_xboole_0 A B) (tptp.k1_funct_4 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k2_xboole_0 A B) (tptp.k1_funct_4 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (tptp.r1_tarski A (tptp.k1_funct_4 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 _let_1 (tptp.k1_relat_1 B)) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) _let_1) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_partfun1 A B) (= (tptp.k1_funct_4 A B) (tptp.k1_funct_4 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.k1_funct_4 A B) (tptp.k1_funct_4 B A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (=> (tptp.v1_partfun1 D A B) (= (tptp.k1_funct_4 C D) D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (=> (=> (= B tptp.k1_xboole_0) (= A tptp.k1_xboole_0)) (= (tptp.k1_funct_4 C D) D)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k1_funct_4 B C) C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (= (tptp.k1_funct_4 C D) D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_4 C D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D A B)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k2_funct_4 A)) (and (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_relat_1 B)) (exists ((D $$unsorted) (E $$unsorted)) (and (= C (tptp.k4_tarski E D)) (tptp.r2_hidden (tptp.k4_tarski D E) (tptp.k1_relat_1 A)))))) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.r2_hidden _let_1 (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 B (tptp.k4_tarski D C)) (tptp.k1_funct_1 A _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k2_funct_4 A)) (tptp.k2_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k1_relat_1 C)) (tptp.r2_hidden (tptp.k4_tarski B A) (tptp.k1_relat_1 (tptp.k2_funct_4 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (let ((_let_2 (tptp.k2_funct_4 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden _let_1 (tptp.k1_relat_1 _let_2)) (= (tptp.k1_funct_1 _let_2 _let_1) (tptp.k1_funct_1 C (tptp.k4_tarski B A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (exists ((B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k2_funct_4 A)) (tptp.k2_zfmisc_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k2_funct_4 C)) (tptp.k2_zfmisc_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (= (tptp.k1_relat_1 (tptp.k2_funct_4 C)) (tptp.k2_zfmisc_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (= (tptp.k2_relat_1 (tptp.k2_funct_4 C)) (tptp.k2_relat_1 C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_funct_4 D))) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 (tptp.k2_zfmisc_1 B A) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B A))) (let ((_let_2 (tptp.k2_funct_4 D))) (let ((_let_3 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 C) (tptp.m2_relset_1 D _let_3 C)) (=> (not (= C tptp.k1_xboole_0)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B A))) (let ((_let_2 (tptp.k2_funct_4 D))) (let ((_let_3 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 C) (tptp.m2_relset_1 D _let_3 C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.r1_tarski (tptp.k2_funct_4 (tptp.k2_funct_4 A)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (= (tptp.k2_funct_4 (tptp.k2_funct_4 C)) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.m2_relset_1 D (tptp.k2_zfmisc_1 A B) C)) (= (tptp.k2_funct_4 (tptp.k2_funct_4 D)) D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (=> (not (= C tptp.k1_xboole_0)) (= (tptp.k2_funct_4 (tptp.k2_funct_4 D)) D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m2_relset_1 D _let_1 C)) (= (tptp.k2_funct_4 (tptp.k2_funct_4 D)) D)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (= C (tptp.k3_funct_4 A B)) (and (forall ((D $$unsorted)) (= (tptp.r2_hidden D (tptp.k1_relat_1 C)) (exists ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (and (= D (tptp.k4_tarski (tptp.k4_tarski E G) (tptp.k4_tarski F H))) (tptp.r2_hidden (tptp.k4_tarski E F) (tptp.k1_relat_1 A)) (tptp.r2_hidden (tptp.k4_tarski G H) (tptp.k1_relat_1 B)))))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k4_tarski F G))) (let ((_let_2 (tptp.k4_tarski D E))) (=> (and (tptp.r2_hidden _let_2 (tptp.k1_relat_1 A)) (tptp.r2_hidden _let_1 (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 C (tptp.k4_tarski (tptp.k4_tarski D F) (tptp.k4_tarski E G))) (tptp.k4_tarski (tptp.k1_funct_1 A _let_2) (tptp.k1_funct_1 B _let_1))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (= (tptp.r2_hidden (tptp.k4_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D)) (tptp.k1_relat_1 (tptp.k3_funct_4 E F))) (and (tptp.r2_hidden (tptp.k4_tarski A C) (tptp.k1_relat_1 E)) (tptp.r2_hidden (tptp.k4_tarski B D) (tptp.k1_relat_1 F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k4_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D)))) (let ((_let_2 (tptp.k3_funct_4 E F))) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (tptp.r2_hidden _let_1 (tptp.k1_relat_1 _let_2)) (= (tptp.k1_funct_1 _let_2 _let_1) (tptp.k4_tarski (tptp.k1_funct_1 E (tptp.k4_tarski A C)) (tptp.k1_funct_1 F (tptp.k4_tarski B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k3_funct_4 A B)) (tptp.k2_zfmisc_1 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 E) (tptp.k2_zfmisc_1 A B)) (tptp.r1_tarski (tptp.k1_relat_1 F) (tptp.k2_zfmisc_1 C D))) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k3_funct_4 E F)) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (forall ((F $$unsorted)) (=> (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F)) (=> (and (= (tptp.k1_relat_1 E) (tptp.k2_zfmisc_1 A B)) (= (tptp.k1_relat_1 F) (tptp.k2_zfmisc_1 C D))) (= (tptp.k1_relat_1 (tptp.k3_funct_4 E F)) (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.m2_relset_1 G (tptp.k2_zfmisc_1 A B) C)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k3_funct_4 G H))) (=> (and (tptp.v1_funct_1 H) (tptp.m2_relset_1 H (tptp.k2_zfmisc_1 D E) F)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A D) (tptp.k2_zfmisc_1 B E)) (tptp.k2_zfmisc_1 C F)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 C) (tptp.m2_relset_1 G _let_1 C)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C F))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A D) (tptp.k2_zfmisc_1 B E)))) (let ((_let_3 (tptp.k3_funct_4 G H))) (let ((_let_4 (tptp.k2_zfmisc_1 D E))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_4 F) (tptp.m2_relset_1 H _let_4 F)) (not (and (not (= C tptp.k1_xboole_0)) (not (= F tptp.k1_xboole_0)) (not (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (not (tptp.v1_xboole_0 E)) (forall ((F $$unsorted)) (=> (not (tptp.v1_xboole_0 F)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 E) (tptp.m2_relset_1 G _let_1 E)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 E F))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B D)))) (let ((_let_3 (tptp.k3_funct_4 G H))) (let ((_let_4 (tptp.k2_zfmisc_1 C D))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_4 F) (tptp.m2_relset_1 H _let_4 F)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))))))))) _let_159 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_funct_4 A B C D))) (and (= (tptp.k1_relat_1 _let_1) (tptp.k2_tarski A B)) (tptp.r1_tarski (tptp.k2_relat_1 _let_1) (tptp.k2_tarski C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k4_funct_4 A B C D))) (=> (not (= A B)) (and (= (tptp.k1_funct_1 _let_1 A) C) (= (tptp.k1_funct_1 _let_1 B) D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (= A B)) (= (tptp.k2_relat_1 (tptp.k4_funct_4 A B C D)) (tptp.k2_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k4_funct_4 A B C C) (tptp.k2_funcop_1 (tptp.k2_tarski A B) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (=> (and (= (tptp.k1_relat_1 E) (tptp.k2_tarski A B)) (= (tptp.k1_funct_1 E A) C) (= (tptp.k1_funct_1 E B) D)) (= E (tptp.k4_funct_4 A B C D))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k2_funcop_1 (tptp.k1_tarski A) B) (tptp.k1_tarski (tptp.k4_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (= A C)) (= (tptp.k4_funct_4 A C B D) (tptp.k2_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.k4_funct_4 A B C D) (tptp.k4_funct_4 A B E F)) (or (= A B) (and (= C E) (= D F))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_relat_1 A)) (tptp.r1_tarski (tptp.k2_relat_1 D) (tptp.k1_relat_1 B)) (tptp.r1_partfun1 A B)) (= (tptp.k5_relat_1 (tptp.k1_funct_4 C D) (tptp.k1_funct_4 A B)) (tptp.k1_funct_4 (tptp.k5_relat_1 C A) (tptp.k5_relat_1 D B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_xboole_0 B C)) (= (tptp.k1_funct_4 (tptp.k7_relat_1 A B) (tptp.k7_relat_1 A C)) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) C) (tptp.k1_funct_4 (tptp.k7_relat_1 A C) (tptp.k7_relat_1 B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (tptp.r1_xboole_0 C (tptp.k1_relat_1 B)) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) C) (tptp.k7_relat_1 A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (tptp.r1_xboole_0 (tptp.k1_relat_1 A) C) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) C) (tptp.k7_relat_1 B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 B) (tptp.k1_relat_1 C)) (= (tptp.k1_funct_4 (tptp.k1_funct_4 A B) C) (tptp.k1_funct_4 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski A B) (and (= (tptp.k1_funct_4 A B) B) (= (tptp.k1_funct_4 B A) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (= (tptp.k1_funct_4 A (tptp.k7_relat_1 A B)) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_4 A B))) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 A) C) (tptp.r1_tarski (tptp.k1_relat_1 B) D) (tptp.r1_xboole_0 C D)) (and (= (tptp.k7_relat_1 _let_1 C) A) (= (tptp.k7_relat_1 _let_1 D) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 A) C) (tptp.r1_xboole_0 (tptp.k1_relat_1 B) C)) (= (tptp.k7_relat_1 (tptp.k1_funct_4 A B) C) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.k7_relat_1 A (tptp.k2_xboole_0 B C)) (tptp.k1_funct_4 (tptp.k7_relat_1 A B) (tptp.k7_relat_1 A C)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_4 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.k1_funct_4 A A) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_funct_4 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_funct_4 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_tarski B C))) (let ((_let_2 (tptp.k5_funct_4 A B C D E))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 A) (tptp.m2_relset_1 _let_2 _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (= (tptp.k5_funct_4 A B C D E) (tptp.k4_funct_4 B C D E)))) (and _let_39 _let_38 _let_37 _let_40) (exists ((A $$unsorted)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal1 A))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.m1_ordinal1 B A) (tptp.v1_ordinal2 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (tptp.v3_ordinal1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_ordinal2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (tptp.v3_ordinal1 B)) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_funcop_1 A B))) (=> (tptp.v3_ordinal1 B) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_ordinal2 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k1_ordinal1 A) (tptp.k1_ordinal1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k3_tarski (tptp.k1_ordinal1 A)) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r1_tarski (tptp.k1_ordinal1 A) (tptp.k1_zfmisc_1 A)))) (tptp.v4_ordinal1 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r1_ordinal1 (tptp.k3_tarski A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k1_ordinal2 A) (tptp.k1_funct_1 A (tptp.k3_tarski (tptp.k1_relat_1 A)))))) true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 A)) (= (tptp.k1_ordinal2 B) (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k2_ordinal2 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.r2_hidden C A) (tptp.v3_ordinal1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k3_ordinal2 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.r2_hidden C A) (exists ((D $$unsorted)) (and (tptp.v3_ordinal1 D) (= C D) (tptp.v4_ordinal1 D)))))))) true (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k2_ordinal2 A) A)) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k2_ordinal2 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k2_ordinal2 A) (tptp.k2_ordinal2 B)))) true (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k3_ordinal2 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k3_ordinal2 A) (tptp.k3_ordinal2 B)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k3_ordinal2 A) (tptp.k2_ordinal2 A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r2_hidden A B) (tptp.v4_ordinal1 B))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_ordinal1 B))) (tptp.v3_ordinal1 (tptp.k1_setfam_1 A)))) _let_158 (forall ((A $$unsorted)) (= (= A tptp.k5_ordinal2) (and (tptp.r2_hidden tptp.k1_xboole_0 A) (tptp.v4_ordinal1 A) (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden tptp.k1_xboole_0 B) (tptp.v4_ordinal1 B)) (tptp.r1_tarski A B))))))) _let_157 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k7_ordinal2 A)) (and (tptp.r1_tarski (tptp.k2_ordinal2 A) B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_tarski (tptp.k2_ordinal2 A) C) (tptp.r1_ordinal1 B C)))))))) true (and (tptp.r2_hidden tptp.k1_xboole_0 tptp.k5_ordinal2) (tptp.v4_ordinal1 tptp.k5_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden tptp.k1_xboole_0 A) (tptp.v4_ordinal1 A)) (tptp.r1_ordinal1 tptp.k5_ordinal2 A))))) true true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r1_ordinal1 (tptp.k6_ordinal2 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C B) (tptp.r1_ordinal1 A C)))) (or (= (tptp.k2_ordinal2 B) tptp.k1_xboole_0) (tptp.r1_ordinal1 A (tptp.k6_ordinal2 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r1_tarski B C)) (tptp.r1_ordinal1 (tptp.k6_ordinal2 C) (tptp.k6_ordinal2 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k6_ordinal2 B) B))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k7_ordinal2 A) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden A B) (tptp.r2_hidden A (tptp.k7_ordinal2 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C B) (tptp.r2_hidden C A)))) (tptp.r1_ordinal1 (tptp.k7_ordinal2 B) A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden A (tptp.k7_ordinal2 B)) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (not (and (tptp.r2_hidden C B) (tptp.r1_ordinal1 A C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_ordinal1 (tptp.k7_ordinal2 A) (tptp.k7_ordinal2 B)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k7_ordinal2 (tptp.k1_tarski A)) (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (tptp.r1_ordinal1 (tptp.k6_ordinal2 A) (tptp.k7_ordinal2 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_ordinal2 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r1_tarski (tptp.k2_relat_1 A) B)))))) true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 B)) (tptp.v3_ordinal1 (tptp.k1_funct_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k8_ordinal2 A) (tptp.k7_ordinal2 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (= (tptp.k9_ordinal2 A) (tptp.k6_ordinal2 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (and (= (tptp.k8_ordinal2 A) (tptp.k7_ordinal2 _let_1)) (= (tptp.k9_ordinal2 A) (tptp.k6_ordinal2 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k10_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k9_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D _let_1) (= (tptp.k1_funct_1 C D) (tptp.k7_ordinal2 (tptp.k2_relat_1 (tptp.k7_relat_1 A (tptp.k4_xboole_0 _let_1 D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k11_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k8_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D _let_1) (= (tptp.k1_funct_1 C D) (tptp.k6_ordinal2 (tptp.k2_relat_1 (tptp.k7_relat_1 A (tptp.k4_xboole_0 _let_1 D)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.r1_ordinal2 A B))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (and (=> _let_2 (= _let_1 (exists ((C $$unsorted)) (and (tptp.v3_ordinal1 C) (tptp.r2_hidden C (tptp.k1_relat_1 B)) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r1_ordinal1 C D) (tptp.r2_hidden D (tptp.k1_relat_1 B))) (= (tptp.k1_funct_1 B D) tptp.k1_xboole_0)))))))) (=> (not _let_2) (= _let_1 (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden A D) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (not (and (tptp.r2_hidden E (tptp.k1_relat_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B F))) (=> (tptp.v3_ordinal1 F) (=> (and (tptp.r1_ordinal1 E F) (tptp.r2_hidden F (tptp.k1_relat_1 B))) (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden _let_1 D))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (=> (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r1_ordinal2 B A))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.k12_ordinal2 A)) (tptp.r1_ordinal2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (= (tptp.k13_ordinal2 A B) (tptp.k12_ordinal2 (tptp.k2_ordinal1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (= (tptp.v2_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden B C) (tptp.r2_hidden C (tptp.k1_relat_1 A))) (tptp.r2_hidden (tptp.k1_funct_1 A B) (tptp.k1_funct_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (= (tptp.v3_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v4_ordinal1 B) (= C (tptp.k1_funct_1 A B))) (or (= B tptp.k1_xboole_0) (tptp.r1_ordinal2 C (tptp.k2_ordinal1 A B))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k14_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k1_ordinal1 (tptp.k1_funct_1 D E))))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 B)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k8_ordinal2 (tptp.k2_ordinal1 D E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k15_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 D _let_1) (tptp.k14_ordinal2 (tptp.k1_funct_1 D E) B)))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k3_tarski (tptp.k8_ordinal2 (tptp.k2_ordinal1 D E))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (= (= C (tptp.k16_ordinal2 A B)) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v5_ordinal1 D) (tptp.v1_ordinal2 D) (= C (tptp.k1_ordinal2 D)) (= (tptp.k1_relat_1 D) (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D tptp.k1_xboole_0) tptp.k4_ordinal2) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 E))) (=> (tptp.v3_ordinal1 E) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 B)) (= (tptp.k1_funct_1 D _let_1) (tptp.k15_ordinal2 A (tptp.k1_funct_1 D E))))))) (forall ((E $$unsorted)) (=> (tptp.v3_ordinal1 E) (=> (and (tptp.r2_hidden E (tptp.k1_ordinal1 B)) (tptp.v4_ordinal1 E)) (or (= E tptp.k1_xboole_0) (= (tptp.k1_funct_1 D E) (tptp.k12_ordinal2 (tptp.k2_ordinal1 D E)))))))))))))))) true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 A tptp.k1_xboole_0) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k14_ordinal2 A (tptp.k1_ordinal1 B)) (tptp.k1_ordinal1 (tptp.k14_ordinal2 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k14_ordinal2 B D)))))) (= (tptp.k14_ordinal2 B A) (tptp.k8_ordinal2 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 tptp.k1_xboole_0 A) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k14_ordinal2 A tptp.k4_ordinal2) (tptp.k1_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k14_ordinal2 C A) (tptp.k14_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k14_ordinal2 C A) (tptp.k14_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k14_ordinal2 A C) (tptp.k14_ordinal2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k15_ordinal2 tptp.k1_xboole_0 A) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k15_ordinal2 (tptp.k1_ordinal1 A) B) (tptp.k14_ordinal2 (tptp.k15_ordinal2 A B) B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k15_ordinal2 D B)))))) (= (tptp.k15_ordinal2 A B) (tptp.k3_tarski (tptp.k8_ordinal2 C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k15_ordinal2 A tptp.k1_xboole_0) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (and (= (tptp.k15_ordinal2 tptp.k4_ordinal2 A) A) (= (tptp.k15_ordinal2 A tptp.k4_ordinal2) A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden B C) (or (= A tptp.k1_xboole_0) (tptp.r2_hidden (tptp.k15_ordinal2 B A) (tptp.k15_ordinal2 C A)))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k15_ordinal2 A C) (tptp.k15_ordinal2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r1_ordinal1 A B) (tptp.r1_ordinal1 (tptp.k15_ordinal2 C A) (tptp.k15_ordinal2 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k16_ordinal2 A tptp.k1_xboole_0) tptp.k4_ordinal2))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.k16_ordinal2 A (tptp.k1_ordinal1 B)) (tptp.k15_ordinal2 A (tptp.k16_ordinal2 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C)) (=> (and (= (tptp.k1_relat_1 C) A) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden D A) (= (tptp.k1_funct_1 C D) (tptp.k16_ordinal2 B D)))))) (= (tptp.k16_ordinal2 B A) (tptp.k12_ordinal2 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (and (= (tptp.k16_ordinal2 A tptp.k4_ordinal2) A) (= (tptp.k16_ordinal2 tptp.k4_ordinal2 A) tptp.k4_ordinal2)))) _let_156 true (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (exists ((C $$unsorted)) (and (tptp.v3_ordinal1 C) (tptp.v4_ordinal1 B) (tptp.v4_ordinal2 C) (= A (tptp.k14_ordinal2 B C)))))))) (=> (and (tptp.p1_s1_ordinal2 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.p1_s1_ordinal2 A) (tptp.p1_s1_ordinal2 (tptp.k1_ordinal1 A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.v4_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B A) (tptp.p1_s1_ordinal2 B))))) (or (= A tptp.k1_xboole_0) (tptp.p1_s1_ordinal2 A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.p1_s1_ordinal2 A)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (= (tptp.k1_relat_1 A) tptp.f1_s2_ordinal2) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B tptp.f1_s2_ordinal2) (= (tptp.k1_funct_1 A B) (tptp.f2_s2_ordinal2 B))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (= (tptp.k1_relat_1 A) tptp.f1_s3_ordinal2) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B tptp.f1_s3_ordinal2) (= (tptp.k1_funct_1 A B) (tptp.f2_s3_ordinal2 B))))))) (=> (and (= (tptp.k1_relat_1 tptp.f5_s4_ordinal2) tptp.f1_s4_ordinal2) (=> _let_155 (= (tptp.k1_funct_1 tptp.f5_s4_ordinal2 tptp.k1_xboole_0) tptp.f2_s4_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f1_s4_ordinal2) (= (tptp.k1_funct_1 tptp.f5_s4_ordinal2 _let_1) (tptp.f3_s4_ordinal2 A (tptp.k1_funct_1 tptp.f5_s4_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f1_s4_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f5_s4_ordinal2 A) (tptp.f4_s4_ordinal2 A (tptp.k2_ordinal1 tptp.f5_s4_ordinal2 A))))))) (= (tptp.k1_relat_1 tptp.f6_s4_ordinal2) tptp.f1_s4_ordinal2) (=> _let_155 (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 tptp.k1_xboole_0) tptp.f2_s4_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f1_s4_ordinal2) (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 _let_1) (tptp.f3_s4_ordinal2 A (tptp.k1_funct_1 tptp.f6_s4_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f1_s4_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f6_s4_ordinal2 A) (tptp.f4_s4_ordinal2 A (tptp.k2_ordinal1 tptp.f6_s4_ordinal2 A)))))))) (= tptp.f5_s4_ordinal2 tptp.f6_s4_ordinal2)) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (= (tptp.k1_relat_1 A) tptp.f1_s5_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s5_ordinal2) (= (tptp.k1_funct_1 A tptp.k1_xboole_0) tptp.f2_s5_ordinal2)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden _let_1 tptp.f1_s5_ordinal2) (= (tptp.k1_funct_1 A _let_1) (tptp.f3_s5_ordinal2 B (tptp.k1_funct_1 A B))))))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden B tptp.f1_s5_ordinal2) (tptp.v4_ordinal1 B)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 A B) (tptp.f4_s5_ordinal2 B (tptp.k2_ordinal1 A B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f2_s6_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s6_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s6_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s6_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (= (tptp.k1_relat_1 tptp.f1_s6_ordinal2) tptp.f3_s6_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f3_s6_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 tptp.k1_xboole_0) tptp.f4_s6_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f3_s6_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 _let_1) (tptp.f5_s6_ordinal2 A (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f3_s6_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A) (tptp.f6_s6_ordinal2 A (tptp.k2_ordinal1 tptp.f1_s6_ordinal2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s6_ordinal2)) (= (tptp.k1_funct_1 tptp.f1_s6_ordinal2 A) (tptp.f2_s6_ordinal2 A)))))) (and (exists ((A $$unsorted) (B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (= A (tptp.k1_ordinal2 B)) (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 B tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 C))) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 B _let_1) (tptp.f3_s7_ordinal2 C (tptp.k1_funct_1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden C (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 C)) (or (= C tptp.k1_xboole_0) (= (tptp.k1_funct_1 B C) (tptp.f4_s7_ordinal2 C (tptp.k2_ordinal1 B C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= A (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s7_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s7_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s7_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s7_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s7_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s7_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (not (= A B)))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f1_s8_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s8_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s8_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s8_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (= (tptp.f1_s8_ordinal2 tptp.k1_xboole_0) tptp.f2_s8_ordinal2)) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f4_s9_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f1_s9_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f2_s9_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f3_s9_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.f4_s9_ordinal2 (tptp.k1_ordinal1 A)) (tptp.f2_s9_ordinal2 A (tptp.f4_s9_ordinal2 A)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.f3_s10_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s10_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s10_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s10_ordinal2 D (tptp.k2_ordinal1 C D))))))))))))) (not (= tptp.f2_s10_ordinal2 tptp.k1_xboole_0)) (tptp.v4_ordinal1 tptp.f2_s10_ordinal2) (= (tptp.k1_relat_1 tptp.f1_s10_ordinal2) tptp.f2_s10_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A tptp.f2_s10_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s10_ordinal2 A) (tptp.f3_s10_ordinal2 A)))))) (= (tptp.f3_s10_ordinal2 tptp.f2_s10_ordinal2) (tptp.f6_s10_ordinal2 tptp.f2_s10_ordinal2 tptp.f1_s10_ordinal2))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A) (= (tptp.k1_relat_1 A) tptp.f1_s11_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f1_s11_ordinal2) (= (tptp.k1_funct_1 A tptp.k1_xboole_0) tptp.f2_s11_ordinal2)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden _let_1 tptp.f1_s11_ordinal2) (= (tptp.k1_funct_1 A _let_1) (tptp.f3_s11_ordinal2 B (tptp.k1_funct_1 A B))))))) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (and (tptp.r2_hidden B tptp.f1_s11_ordinal2) (tptp.v4_ordinal1 B)) (or (= B tptp.k1_xboole_0) (= (tptp.k1_funct_1 A B) (tptp.f4_s11_ordinal2 B (tptp.k2_ordinal1 A B))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f2_s12_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s12_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s12_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s12_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (= (tptp.k1_relat_1 tptp.f1_s12_ordinal2) tptp.f3_s12_ordinal2) (=> (tptp.r2_hidden tptp.k1_xboole_0 tptp.f3_s12_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 tptp.k1_xboole_0) tptp.f4_s12_ordinal2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 A))) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden _let_1 tptp.f3_s12_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 _let_1) (tptp.f5_s12_ordinal2 A (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (and (tptp.r2_hidden A tptp.f3_s12_ordinal2) (tptp.v4_ordinal1 A)) (or (= A tptp.k1_xboole_0) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A) (tptp.f6_s12_ordinal2 A (tptp.k2_ordinal1 tptp.f1_s12_ordinal2 A)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A (tptp.k1_relat_1 tptp.f1_s12_ordinal2)) (= (tptp.k1_funct_1 tptp.f1_s12_ordinal2 A) (tptp.f2_s12_ordinal2 A)))))) (and (exists ((A $$unsorted)) (and (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B) (= A (tptp.k1_ordinal2 B)) (= (tptp.k1_relat_1 B) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 B tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 C))) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 B _let_1) (tptp.f3_s13_ordinal2 C (tptp.k1_funct_1 B C))))))) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (and (tptp.r2_hidden C (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 C)) (or (= C tptp.k1_xboole_0) (= (tptp.k1_funct_1 B C) (tptp.f4_s13_ordinal2 C (tptp.k2_ordinal1 B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (not (and (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= A (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s13_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s13_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s13_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s13_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 tptp.f1_s13_ordinal2)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s13_ordinal2 D (tptp.k2_ordinal1 C D))))))))) (not (= A B))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f1_s14_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f2_s14_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f3_s14_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f4_s14_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (= (tptp.f1_s14_ordinal2 tptp.k1_xboole_0) tptp.f2_s14_ordinal2)) (=> (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f4_s15_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f1_s15_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f2_s15_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f3_s15_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.f4_s15_ordinal2 (tptp.k1_ordinal1 A)) (tptp.f2_s15_ordinal2 A (tptp.f4_s15_ordinal2 A)))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (= B (tptp.f3_s16_ordinal2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (tptp.v1_ordinal2 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.f4_s16_ordinal2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.f5_s16_ordinal2 D (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.f6_s16_ordinal2 D (tptp.k2_ordinal1 C D)))))))))))))) (not (= tptp.f2_s16_ordinal2 tptp.k1_xboole_0)) (tptp.v4_ordinal1 tptp.f2_s16_ordinal2) (= (tptp.k1_relat_1 tptp.f1_s16_ordinal2) tptp.f2_s16_ordinal2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r2_hidden A tptp.f2_s16_ordinal2) (= (tptp.k1_funct_1 tptp.f1_s16_ordinal2 A) (tptp.f3_s16_ordinal2 A)))))) (= (tptp.f3_s16_ordinal2 tptp.f2_s16_ordinal2) (tptp.f6_s16_ordinal2 tptp.f2_s16_ordinal2 tptp.f1_s16_ordinal2))) true true true (and (tptp.v3_ordinal1 tptp.k4_ordinal2) (not (tptp.v1_xboole_0 tptp.k4_ordinal2))) true (forall ((A $$unsorted)) (tptp.v3_ordinal1 (tptp.k6_ordinal2 A))) (forall ((A $$unsorted)) (tptp.v3_ordinal1 (tptp.k7_ordinal2 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k8_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k9_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k10_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (tptp.v3_ordinal1 (tptp.k11_ordinal2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A) (tptp.v1_ordinal2 A)) (tptp.v3_ordinal1 (tptp.k12_ordinal2 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B) (tptp.v1_ordinal2 B)) (tptp.v3_ordinal1 (tptp.k13_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k14_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k15_ordinal2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_ordinal1 A) (tptp.v3_ordinal1 B)) (tptp.v3_ordinal1 (tptp.k16_ordinal2 A B)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_xboole_0 B) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_ordinal1 B) (tptp.v2_ordinal1 B) (tptp.v3_ordinal1 B) (tptp.v4_ordinal2 B) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.v1_finset_1 (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (tptp.v1_finset_1 (tptp.k2_enumset1 A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (tptp.v1_finset_1 (tptp.k3_enumset1 A B C D E))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (tptp.v1_finset_1 (tptp.k4_enumset1 A B C D E F))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted)) (tptp.v1_finset_1 (tptp.k5_enumset1 A B C D E F G))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (tptp.v1_finset_1 (tptp.k6_enumset1 A B C D E F G H))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_finset_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 B) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k9_relat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C) (tptp.v1_finset_1 D)) (tptp.v1_finset_1 (tptp.k4_zfmisc_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) _let_154 true true true true true true true true true true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k9_relat_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (and (tptp.r2_hidden D B) (tptp.r1_tarski C D)) (= D C)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B) (tptp.v1_finset_1 C) (tptp.v1_finset_1 D)) (tptp.v1_finset_1 (tptp.k4_zfmisc_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 (tptp.k2_zfmisc_1 B A)) (or (= A tptp.k1_xboole_0) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_finset_1 (tptp.k2_zfmisc_1 A B)) (or (= A tptp.k1_xboole_0) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (= (and (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_finset_1 B)))) (tptp.v1_finset_1 (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (tptp.v1_finset_1 (tptp.k1_relat_1 A)) (tptp.v1_finset_1 (tptp.k2_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.r1_tarski A (tptp.k2_relat_1 B)) (tptp.v1_finset_1 (tptp.k10_relat_1 B A))) (tptp.v1_finset_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v1_finset_1 (tptp.k1_relat_1 A)) (tptp.v1_finset_1 A)))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (not (= A tptp.k1_xboole_0)) (tptp.v6_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski B C))))))))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (not (= A tptp.k1_xboole_0)) (tptp.v6_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r1_tarski C B))))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_finset_1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (let ((_let_2 (tptp.p1_s1_finset_1 B))) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B tptp.f1_s1_finset_1) (and (=> _let_2 (= _let_1 (tptp.f2_s1_finset_1 B))) (=> (not _let_2) (= _let_1 (tptp.f3_s1_finset_1 B))))))))))) (=> (and (tptp.v1_finset_1 tptp.f1_s2_finset_1) (tptp.p1_s2_finset_1 tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s2_finset_1) (tptp.r1_tarski B tptp.f1_s2_finset_1) (tptp.p1_s2_finset_1 B)) (tptp.p1_s2_finset_1 (tptp.k2_xboole_0 B (tptp.k1_tarski A)))))) (tptp.p1_s2_finset_1 tptp.f1_s2_finset_1)) (forall ((A $$unsorted)) (=> (tptp.v4_finsub_1 A) (and (tptp.v1_finsub_1 A) (tptp.v3_finsub_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_finsub_1 A) (tptp.v3_finsub_1 A)) (tptp.v4_finsub_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_finsub_1 A) (tptp.v2_finsub_1 A) (tptp.v3_finsub_1 A) (tptp.v4_finsub_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finsub_1 _let_1) (tptp.v3_finsub_1 _let_1) (tptp.v4_finsub_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finsub_1 _let_1) (tptp.v3_finsub_1 _let_1) (tptp.v4_finsub_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (tptp.v1_finset_1 B))) _let_153 _let_152 _let_151 _let_150 true true true true true true true true true (forall ((A $$unsorted)) (= (tptp.v4_finsub_1 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (and (tptp.r2_hidden (tptp.k2_xboole_0 B C) A) (tptp.r2_hidden (tptp.k4_xboole_0 B C) A)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v4_finsub_1 C)) (=> (and (tptp.m1_subset_1 A C) (tptp.m1_subset_1 B C)) (tptp.m1_subset_1 (tptp.k3_xboole_0 A B) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v4_finsub_1 C)) (=> (and (tptp.m1_subset_1 A C) (tptp.m1_subset_1 B C)) (tptp.m1_subset_1 (tptp.k5_xboole_0 A B) C)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (and (tptp.r2_hidden (tptp.k5_xboole_0 B C) A) (tptp.r2_hidden (tptp.k4_xboole_0 B C) A)))))) (tptp.v4_finsub_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (and (tptp.r2_hidden (tptp.k5_xboole_0 B C) A) (tptp.r2_hidden (tptp.k3_xboole_0 B C) A)))))) (tptp.v4_finsub_1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (and (tptp.r2_hidden (tptp.k5_xboole_0 B C) A) (tptp.r2_hidden (tptp.k2_xboole_0 B C) A)))))) (tptp.v4_finsub_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A)) (tptp.r2_hidden tptp.k1_xboole_0 A))) true (forall ((A $$unsorted)) (tptp.v4_finsub_1 (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v4_finsub_1 B)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v4_finsub_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_finsub_1 B) (= (= B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (and (tptp.r1_tarski C A) (tptp.v1_finset_1 C))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k5_finsub_1 A) (tptp.k5_finsub_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k5_finsub_1 (tptp.k3_xboole_0 A B)) (tptp.k3_xboole_0 (tptp.k5_finsub_1 A) (tptp.k5_finsub_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k2_xboole_0 (tptp.k5_finsub_1 A) (tptp.k5_finsub_1 B)) (tptp.k5_finsub_1 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted)) (tptp.r1_tarski (tptp.k5_finsub_1 A) (tptp.k1_zfmisc_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (= (tptp.k5_finsub_1 A) (tptp.k1_zfmisc_1 A)))) (= (tptp.k5_finsub_1 tptp.k1_xboole_0) _let_8) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (tptp.v1_finset_1 B))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (=> (tptp.v1_finset_1 A) (tptp.m1_subset_1 B (tptp.k5_finsub_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k1_finsub_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k1_finsub_1 A B C) (tptp.k1_finsub_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k1_finsub_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k1_finsub_1 A B C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k2_finsub_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k2_finsub_1 A B C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k3_finsub_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k3_finsub_1 A B C) (tptp.k3_finsub_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k3_finsub_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k3_finsub_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k4_finsub_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k4_finsub_1 A B C) (tptp.k4_finsub_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_finsub_1 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k4_finsub_1 A B C) (tptp.k5_xboole_0 B C)))) (forall ((A $$unsorted)) (tptp.v4_finsub_1 (tptp.k5_finsub_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (tptp.v1_xboole_0 B) (tptp.v1_finset_1 B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_finset_1 B))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k1_tarski A) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k2_tarski A B) (tptp.k1_enumset1 A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.r1_tarski A (tptp.k2_xboole_0 B (tptp.k1_tarski C))) (not (tptp.r2_hidden C A)) (not (tptp.r1_tarski A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden A (tptp.k2_xboole_0 B (tptp.k1_tarski C))) (or (tptp.r2_hidden A B) (= A C)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.r1_tarski (tptp.k2_xboole_0 A (tptp.k1_tarski B)) C) (and (tptp.r2_hidden B C) (tptp.r1_tarski A C)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (= (tptp.k9_relat_1 C (tptp.k4_xboole_0 B (tptp.k10_relat_1 C A))) (tptp.k4_xboole_0 (tptp.k9_relat_1 C B) A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B A) (tptp.m2_relset_1 C B A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (tptp.r2_hidden D (tptp.k3_funct_2 B A C (tptp.k1_tarski (tptp.k8_funct_2 B A C D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B A) (tptp.m2_relset_1 C B A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (= (tptp.k2_funct_2 B A C (tptp.k1_tarski D)) (tptp.k1_tarski (tptp.k8_funct_2 B A C D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (tptp.m1_subset_1 C A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)) (forall ((D $$unsorted) (E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F C) (tptp.r2_hidden (tptp.k8_funct_2 A B E F) D)))) (tptp.r1_tarski (tptp.k2_funct_2 A B E C) D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (tptp.r1_tarski C B) (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (not (and (not (= B tptp.k1_xboole_0)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (not (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B A) (tptp.m2_relset_1 C B A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 B)) (=> (= (tptp.k2_funct_2 B A C D) tptp.k1_xboole_0) (= D tptp.k1_xboole_0)))))))))) _let_149 (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v1_setwiseo B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (tptp.r3_binop_1 A C B))))))))) true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (tptp.v1_setwiseo B A) (tptp.r3_binop_1 A (tptp.k3_binop_1 A B) B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (=> (tptp.v1_setwiseo B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_binop_1 A B))) (=> (tptp.m1_subset_1 C A) (and (= (tptp.k2_binop_1 A A A B _let_1 C) C) (= (tptp.k2_binop_1 A A A B C _let_1) C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.v1_binop_1 C B) (tptp.v2_binop_1 C B)) (or (and (= D tptp.k1_xboole_0) (not (tptp.v1_setwiseo C B))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (= F (tptp.k7_setwiseo A B C D E)) (exists ((G $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 B) (tptp.m2_relset_1 G _let_1 B) (= F (tptp.k8_funct_2 _let_1 B G D)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (=> (tptp.r3_binop_1 B H C) (= (tptp.k1_funct_1 G tptp.k1_xboole_0) H)))) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (= (tptp.k8_funct_2 (tptp.k5_finsub_1 A) B G (tptp.k2_setwiseo A H)) (tptp.k8_funct_2 A B E H)))) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k5_finsub_1 A)) (=> (tptp.r1_tarski H D) (or (= H tptp.k1_xboole_0) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (tptp.m1_subset_1 I A) (=> (tptp.r2_hidden I (tptp.k6_setwiseo A D H)) (= (tptp.k8_funct_2 _let_1 B G (tptp.k5_setwiseo A H (tptp.k2_setwiseo A I))) (tptp.k2_binop_1 B B B C (tptp.k8_funct_2 _let_1 B G H) (tptp.k8_funct_2 A B E I)))))))))))))))))))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.v3_binop_1 C B) (tptp.v1_binop_1 C B) (tptp.v2_binop_1 C B)) (or (and (= D tptp.k1_xboole_0) (not (tptp.v1_setwiseo C B))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (= F (tptp.k7_setwiseo A B C D E)) (exists ((G $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 B) (tptp.m2_relset_1 G _let_1 B) (= F (tptp.k8_funct_2 _let_1 B G D)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (=> (tptp.r3_binop_1 B H C) (= (tptp.k1_funct_1 G tptp.k1_xboole_0) H)))) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H A) (= (tptp.k8_funct_2 (tptp.k5_finsub_1 A) B G (tptp.k2_setwiseo A H)) (tptp.k8_funct_2 A B E H)))) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k5_finsub_1 A)) (=> (tptp.r1_tarski H D) (or (= H tptp.k1_xboole_0) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (tptp.m1_subset_1 I A) (=> (tptp.r2_hidden I D) (= (tptp.k8_funct_2 _let_1 B G (tptp.k5_setwiseo A H (tptp.k2_setwiseo A I))) (tptp.k2_binop_1 B B B C (tptp.k8_funct_2 _let_1 B G H) (tptp.k8_funct_2 A B E I)))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (= (tptp.k7_setwiseo B A C (tptp.k2_setwiseo B E) D) (tptp.k8_funct_2 B A D E)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (tptp.v3_binop_1 C A) (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k7_setwiseo B A C (tptp.k3_setwiseo B E F) D) (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A D E) (tptp.k8_funct_2 B A D F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (tptp.v3_binop_1 C A) (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (= (tptp.k7_setwiseo B A C (tptp.k4_setwiseo B E F G) D) (tptp.k2_binop_1 A A A C (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A D E) (tptp.k8_funct_2 B A D F)) (tptp.k8_funct_2 B A D G))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (=> (and (tptp.v3_binop_1 C A) (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A)) (or (= D tptp.k1_xboole_0) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k7_setwiseo B A C (tptp.k5_setwiseo B D (tptp.k2_setwiseo B F)) E) (tptp.k2_binop_1 A A A C (tptp.k7_setwiseo B A C D E) (tptp.k8_funct_2 B A E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (tptp.v3_binop_1 C A) (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k5_finsub_1 B)) (not (and (not (= E tptp.k1_xboole_0)) (not (= F tptp.k1_xboole_0)) (not (= (tptp.k7_setwiseo B A C (tptp.k5_setwiseo B E F) D) (tptp.k2_binop_1 A A A C (tptp.k7_setwiseo B A C E D) (tptp.k7_setwiseo B A C F D)))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (=> (and (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A) (tptp.v3_binop_1 C A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k7_setwiseo B A C D E))) (=> (tptp.m1_subset_1 F B) (=> (tptp.r2_hidden F D) (= (tptp.k2_binop_1 A A A C (tptp.k8_funct_2 B A E F) _let_1) _let_1))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A) (tptp.v3_binop_1 C A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k7_setwiseo B A C F D))) (=> (tptp.m1_subset_1 F (tptp.k5_finsub_1 B)) (=> (tptp.r1_tarski E F) (or (= E tptp.k1_xboole_0) (= (tptp.k2_binop_1 A A A C (tptp.k7_setwiseo B A C E D) _let_1) _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (=> (and (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A) (tptp.v3_binop_1 C A)) (or (= D tptp.k1_xboole_0) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (=> (tptp.r2_hidden G D) (= (tptp.k8_funct_2 B A E G) F)))) (= (tptp.k7_setwiseo B A C D E) F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (and (tptp.v1_binop_1 C B) (tptp.v2_binop_1 C B) (tptp.v3_binop_1 C B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (=> (= (tptp.k2_funct_2 A B E D) (tptp.k2_setwiseo B F)) (= (tptp.k7_setwiseo A B C D E) F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (and (tptp.v1_binop_1 C B) (tptp.v2_binop_1 C B) (tptp.v3_binop_1 C B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k5_finsub_1 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k5_finsub_1 A)) (=> (= (tptp.k2_funct_2 A B D F) (tptp.k2_funct_2 A B E G)) (or (= F tptp.k1_xboole_0) (= (tptp.k7_setwiseo A B C F D) (tptp.k7_setwiseo A B C G E)))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (=> (and (tptp.v3_binop_1 C A) (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A) (tptp.r6_binop_1 A D C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 B)) (=> (not (= E tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B A) (tptp.m2_relset_1 F B A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (= (tptp.k2_binop_1 A A A D G (tptp.k7_setwiseo B A C E F)) (tptp.k7_setwiseo B A C E (tptp.k8_funcop_1 A B D G F))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (=> (and (tptp.v3_binop_1 C A) (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A) (tptp.r6_binop_1 A D C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 B)) (=> (not (= E tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B A) (tptp.m2_relset_1 F B A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (= (tptp.k2_binop_1 A A A D (tptp.k7_setwiseo B A C E F) G) (tptp.k7_setwiseo B A C E (tptp.k7_funcop_1 A B D F G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (=> (and (tptp.v3_binop_1 D A) (tptp.v1_binop_1 D A) (tptp.v2_binop_1 D A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 B)) (=> (not (= E tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (forall ((G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G C A) (tptp.m2_relset_1 G C A)) (= (tptp.k7_setwiseo C A D (tptp.k8_setwiseo B C F E) G) (tptp.k7_setwiseo B A D E (tptp.k7_funct_2 B C A F G)))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (and (tptp.v1_binop_1 C B) (tptp.v2_binop_1 C B) (tptp.v3_binop_1 C B)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 D D))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 D) (tptp.m2_relset_1 E _let_1 D)) (=> (and (tptp.v1_binop_1 E D) (tptp.v2_binop_1 E D) (tptp.v3_binop_1 E D)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A B) (tptp.m2_relset_1 F A B)) (forall ((G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G B D) (tptp.m2_relset_1 G B D)) (=> (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I B) (= (tptp.k8_funct_2 B D G (tptp.k2_binop_1 B B B C H I)) (tptp.k2_binop_1 D D D E (tptp.k8_funct_2 B D G H) (tptp.k8_funct_2 B D G I))))))) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k5_finsub_1 A)) (=> (not (= H tptp.k1_xboole_0)) (= (tptp.k8_funct_2 B D G (tptp.k7_setwiseo A B C H F)) (tptp.k7_setwiseo A D E H (tptp.k7_funct_2 A B D F G))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (and (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A) (tptp.v1_setwiseo C A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (= (tptp.k7_setwiseo B A C (tptp.k1_setwiseo B) D) (tptp.k3_binop_1 A C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B A) (tptp.m2_relset_1 E B A)) (=> (and (tptp.v3_binop_1 C A) (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A) (tptp.v1_setwiseo C A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (= (tptp.k7_setwiseo B A C (tptp.k5_setwiseo B D (tptp.k2_setwiseo B F)) E) (tptp.k2_binop_1 A A A C (tptp.k7_setwiseo B A C D E) (tptp.k8_funct_2 B A E F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m2_relset_1 D B A)) (=> (and (tptp.v3_binop_1 C A) (tptp.v1_binop_1 C A) (tptp.v2_binop_1 C A) (tptp.v1_setwiseo C A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k5_finsub_1 B)) (= (tptp.k7_setwiseo B A C (tptp.k5_setwiseo B E F) D) (tptp.k2_binop_1 A A A C (tptp.k7_setwiseo B A C E D) (tptp.k7_setwiseo B A C F D))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (and (tptp.v1_binop_1 C B) (tptp.v2_binop_1 C B) (tptp.v3_binop_1 C B) (tptp.v1_setwiseo C B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k5_finsub_1 A)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k5_finsub_1 A)) (=> (= (tptp.k8_setwiseo A B D F) (tptp.k8_setwiseo A B E G)) (= (tptp.k7_setwiseo A B C F D) (tptp.k7_setwiseo A B C G E))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (=> (and (tptp.v3_binop_1 D A) (tptp.v1_binop_1 D A) (tptp.v2_binop_1 D A) (tptp.v1_setwiseo D A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (forall ((G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G C A) (tptp.m2_relset_1 G C A)) (= (tptp.k7_setwiseo C A D (tptp.k8_setwiseo B C F E) G) (tptp.k7_setwiseo B A D E (tptp.k7_funct_2 B C A F G))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (=> (and (tptp.v1_binop_1 C B) (tptp.v2_binop_1 C B) (tptp.v3_binop_1 C B) (tptp.v1_setwiseo C B)) (forall ((D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 D D))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 D) (tptp.m2_relset_1 E _let_1 D)) (=> (and (tptp.v1_binop_1 E D) (tptp.v2_binop_1 E D) (tptp.v3_binop_1 E D) (tptp.v1_setwiseo E D)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A B) (tptp.m2_relset_1 F A B)) (forall ((G $$unsorted)) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G B D) (tptp.m2_relset_1 G B D)) (=> (and (= (tptp.k8_funct_2 B D G (tptp.k3_binop_1 B C)) (tptp.k3_binop_1 D E)) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I B) (= (tptp.k8_funct_2 B D G (tptp.k2_binop_1 B B B C H I)) (tptp.k2_binop_1 D D D E (tptp.k8_funct_2 B D G H) (tptp.k8_funct_2 B D G I)))))))) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k5_finsub_1 A)) (= (tptp.k8_funct_2 B D G (tptp.k7_setwiseo A B C H F)) (tptp.k7_setwiseo A D E H (tptp.k7_funct_2 A B D F G)))))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k9_setwiseo A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 B C D) (tptp.k5_setwiseo A C D)))))))))))) true true true (forall ((A $$unsorted)) (tptp.v3_binop_1 (tptp.k9_setwiseo A) (tptp.k5_finsub_1 A))) (forall ((A $$unsorted)) (tptp.v1_binop_1 (tptp.k9_setwiseo A) (tptp.k5_finsub_1 A))) (forall ((A $$unsorted)) (tptp.v2_binop_1 (tptp.k9_setwiseo A) (tptp.k5_finsub_1 A))) (forall ((A $$unsorted)) (tptp.r3_binop_1 (tptp.k5_finsub_1 A) (tptp.k1_setwiseo A) (tptp.k9_setwiseo A))) (forall ((A $$unsorted)) (tptp.v1_setwiseo (tptp.k9_setwiseo A) (tptp.k5_finsub_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_setwiseo A))) (let ((_let_2 (tptp.k5_finsub_1 A))) (tptp.r3_binop_1 _let_2 (tptp.k3_binop_1 _let_2 _let_1) _let_1)))) (forall ((A $$unsorted)) (= (tptp.k3_binop_1 (tptp.k5_finsub_1 A) (tptp.k9_setwiseo A)) tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.k10_setwiseo A B C D) (tptp.k7_setwiseo A _let_1 (tptp.k9_setwiseo B) C D))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (= (tptp.k10_setwiseo A B (tptp.k2_setwiseo A D) C) (tptp.k8_funct_2 A (tptp.k5_finsub_1 B) C D))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (tptp.m1_subset_1 E A) (= (tptp.k10_setwiseo A B (tptp.k3_setwiseo A D E) C) (tptp.k5_setwiseo B (tptp.k8_funct_2 A _let_1 C D) (tptp.k8_funct_2 A _let_1 C E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (tptp.m1_subset_1 F A) (= (tptp.k10_setwiseo A B (tptp.k4_setwiseo A D E F) C) (tptp.k5_setwiseo B (tptp.k5_setwiseo B (tptp.k8_funct_2 A _let_1 C D) (tptp.k8_funct_2 A _let_1 C E)) (tptp.k8_funct_2 A _let_1 C F))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (= (tptp.k10_setwiseo A B (tptp.k1_setwiseo A) C) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 A)) (= (tptp.k10_setwiseo A B (tptp.k5_setwiseo A E (tptp.k2_setwiseo A D)) C) (tptp.k5_setwiseo B (tptp.k10_setwiseo A B E C) (tptp.k8_funct_2 A (tptp.k5_finsub_1 B) C D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 A)) (= (tptp.k10_setwiseo A B D C) (tptp.k3_tarski (tptp.k8_setwiseo A (tptp.k5_finsub_1 B) C D)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 A)) (= (tptp.k10_setwiseo A B (tptp.k5_setwiseo A D E) C) (tptp.k5_setwiseo B (tptp.k10_setwiseo A B D C) (tptp.k10_setwiseo A B E C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B _let_1) (tptp.m2_relset_1 F B _let_1)) (= (tptp.k10_setwiseo B C (tptp.k8_setwiseo A B E D) F) (tptp.k10_setwiseo A C D (tptp.k7_funct_2 A B _let_1 E F)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (=> (and (tptp.v1_binop_1 D A) (tptp.v2_binop_1 D A) (tptp.v3_binop_1 D A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 B)) (=> (not (= E tptp.k1_xboole_0)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B _let_1) (tptp.m2_relset_1 F B _let_1)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 A) (tptp.m2_relset_1 G _let_1 A)) (=> (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.k5_finsub_1 C)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (=> (tptp.m1_subset_1 I _let_1) (= (tptp.k8_funct_2 _let_1 A G (tptp.k5_setwiseo C H I)) (tptp.k2_binop_1 A A A D (tptp.k8_funct_2 _let_1 A G H) (tptp.k8_funct_2 _let_1 A G I)))))))) (= (tptp.k8_funct_2 _let_1 A G (tptp.k10_setwiseo B C E F)) (tptp.k7_setwiseo B A D E (tptp.k7_funct_2 B _let_1 A F G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B)) (=> (and (tptp.v1_binop_1 D B) (tptp.v2_binop_1 D B) (tptp.v3_binop_1 D B) (tptp.v1_setwiseo D B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A _let_1) (tptp.m2_relset_1 E A _let_1)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (=> (and (= (tptp.k8_funct_2 _let_1 B F (tptp.k1_setwiseo C)) (tptp.k3_binop_1 B D)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.k5_finsub_1 C)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (=> (tptp.m1_subset_1 H _let_1) (= (tptp.k8_funct_2 _let_1 B F (tptp.k5_setwiseo C G H)) (tptp.k2_binop_1 B B B D (tptp.k8_funct_2 _let_1 B F G) (tptp.k8_funct_2 _let_1 B F H))))))))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (=> (tptp.m1_subset_1 G (tptp.k5_finsub_1 A)) (= (tptp.k8_funct_2 _let_1 B F (tptp.k10_setwiseo A C G E)) (tptp.k7_setwiseo A B D G (tptp.k7_funct_2 A _let_1 B E F))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1)) (= (= B (tptp.k11_setwiseo A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 B C) (tptp.k1_tarski C)))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1)) (= (= B (tptp.k11_setwiseo A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.k8_funct_2 A (tptp.k5_finsub_1 A) B C) (tptp.k2_setwiseo A C)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C A) (= (tptp.r2_hidden B (tptp.k8_funct_2 A (tptp.k5_finsub_1 A) (tptp.k11_setwiseo A) C)) (= B C)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 A (tptp.k5_finsub_1 A) (tptp.k11_setwiseo A) D))) (=> (tptp.m1_subset_1 D A) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (= B C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A _let_1) (tptp.m2_relset_1 C A _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 A)) (forall ((E $$unsorted)) (= (tptp.r2_hidden E (tptp.k10_setwiseo A B D C)) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F A) (tptp.r2_hidden F D) (tptp.r2_hidden E (tptp.k8_funct_2 A (tptp.k5_finsub_1 B) C F))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (= (tptp.k10_setwiseo A A B (tptp.k11_setwiseo A)) B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (let ((_let_2 (tptp.k5_finsub_1 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k1_setwiseo B)) (tptp.k1_setwiseo C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k5_finsub_1 B)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (let ((_let_2 (tptp.k5_finsub_1 B))) (=> (tptp.m1_subset_1 G _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k5_setwiseo B F G)) (tptp.k5_setwiseo C (tptp.k8_funct_2 _let_2 _let_1 E F) (tptp.k8_funct_2 _let_2 _let_1 E G)))))))))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 C))) (let ((_let_2 (tptp.k5_finsub_1 B))) (=> (tptp.m1_subset_1 F (tptp.k5_finsub_1 A)) (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k10_setwiseo A B F D)) (tptp.k10_setwiseo A C F (tptp.k7_funct_2 A _let_2 _let_1 D E))))))))))))))))) (exists ((A $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 tptp.f1_s1_setwiseo))) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s1_setwiseo _let_1) (tptp.m2_relset_1 A tptp.f1_s1_setwiseo _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s1_setwiseo) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_setwiseo) (= (tptp.r2_hidden C (tptp.k8_funct_2 tptp.f1_s1_setwiseo (tptp.k5_finsub_1 tptp.f1_s1_setwiseo) A B)) (and (tptp.r2_hidden C tptp.f2_s1_setwiseo) (tptp.p1_s1_setwiseo C B)))))))))) (=> (and (tptp.p1_s2_setwiseo (tptp.k1_setwiseo tptp.f1_s2_setwiseo)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k5_finsub_1 tptp.f1_s2_setwiseo)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_setwiseo) (=> (tptp.p1_s2_setwiseo A) (or (tptp.r2_hidden B A) (tptp.p1_s2_setwiseo (tptp.k5_setwiseo tptp.f1_s2_setwiseo A (tptp.k2_setwiseo tptp.f1_s2_setwiseo B)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k5_finsub_1 tptp.f1_s2_setwiseo)) (tptp.p1_s2_setwiseo A)))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s3_setwiseo) (tptp.p1_s3_setwiseo (tptp.k2_setwiseo tptp.f1_s3_setwiseo A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k5_finsub_1 tptp.f1_s3_setwiseo)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 tptp.f1_s3_setwiseo)) (=> (and (tptp.p1_s3_setwiseo A) (tptp.p1_s3_setwiseo B)) (or (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0) (tptp.p1_s3_setwiseo (tptp.k5_setwiseo tptp.f1_s3_setwiseo A B))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k5_finsub_1 tptp.f1_s3_setwiseo)) (=> (not (= A tptp.k1_xboole_0)) (tptp.p1_s3_setwiseo A))))) (=> (and (tptp.p1_s4_setwiseo (tptp.k1_setwiseo tptp.f1_s4_setwiseo)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k5_finsub_1 tptp.f1_s4_setwiseo)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_setwiseo) (=> (tptp.p1_s4_setwiseo A) (tptp.p1_s4_setwiseo (tptp.k5_setwiseo tptp.f1_s4_setwiseo A (tptp.k2_setwiseo tptp.f1_s4_setwiseo B))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k5_finsub_1 tptp.f1_s4_setwiseo)) (tptp.p1_s4_setwiseo A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_setwiseo A))) (and (tptp.v1_xboole_0 _let_1) (tptp.m1_subset_1 _let_1 (tptp.k5_finsub_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k2_setwiseo A B) (tptp.k5_finsub_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (= (tptp.k2_setwiseo A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k3_setwiseo A B C) (tptp.k5_finsub_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k3_setwiseo A B C) (tptp.k3_setwiseo A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k3_setwiseo A B C) (tptp.k2_tarski B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (tptp.m1_subset_1 (tptp.k4_setwiseo A B C D) (tptp.k5_finsub_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (= (tptp.k4_setwiseo A B C D) (tptp.k1_enumset1 B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_setwiseo A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_setwiseo A B C) (tptp.k5_setwiseo A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_setwiseo A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k5_setwiseo A B C) (tptp.k2_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_setwiseo A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (=> (and (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k6_setwiseo A B C) (tptp.k4_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m1_relset_1 C _let_1 B) (tptp.m1_subset_1 D (tptp.k5_finsub_1 A)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m1_relset_1 E A B)) (tptp.m1_subset_1 (tptp.k7_setwiseo A B C D E) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D (tptp.k5_finsub_1 A))) (tptp.m1_subset_1 (tptp.k8_setwiseo A B C D) (tptp.k5_finsub_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m1_relset_1 C A B) (tptp.m1_subset_1 D (tptp.k5_finsub_1 A))) (= (tptp.k8_setwiseo A B C D) (tptp.k9_relat_1 C D)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k9_setwiseo A))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (tptp.m1_subset_1 (tptp.k10_setwiseo A B C D) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finsub_1 A))) (let ((_let_2 (tptp.k11_setwiseo A))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_fraenkel A))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.v1_fraenkel (tptp.k1_funct_2 A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 A B))) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (and (tptp.v1_finset_1 _let_1) (tptp.v1_fraenkel _let_1))))) true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (= (tptp.k7_relat_1 C E) (tptp.k7_relat_1 D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F E) (= (tptp.k8_funct_2 A B C F) (tptp.k8_funct_2 A B D F))))))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (tptp.r1_tarski (tptp.k1_funct_2 A B) (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski C B) (tptp.r1_tarski D A)) (or (= (tptp.k1_funct_2 C D) tptp.k1_xboole_0) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_funct_2 C D)) (and (tptp.v1_funct_1 E) (tptp.m2_relset_1 E B A))))))))) _let_148 true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (tptp.v1_fraenkel (tptp.k1_tarski A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C)) (= (tptp.m1_fraenkel C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D C) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (tptp.m1_fraenkel (tptp.k2_setwiseo (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)) C) A B))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (tptp.m1_fraenkel (tptp.k1_funct_2 B A) B A)))) true true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_tarski C B) (tptp.r1_tarski D A)) (or (= (tptp.k1_funct_2 C D) tptp.k1_xboole_0) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_funct_2 C D)) (exists ((F $$unsorted)) (and (tptp.m2_fraenkel F B A (tptp.k1_fraenkel B A)) (= (tptp.k7_relat_1 F C) E)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m2_fraenkel D B A (tptp.k1_fraenkel B A)) (= (tptp.k7_relat_1 D C) (tptp.k7_relat_1 D (tptp.k3_xboole_0 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 B)) (tptp.v1_finset_1 (tptp.k1_funct_2 A B)))) (forall ((A $$unsorted)) (=> (tptp.v1_fraenkel A) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B A) (tptp.v1_fraenkel B))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s23_fraenkel) (tptp.p1_s23_fraenkel A A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s23_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s23_fraenkel) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s23_fraenkel) (=> (and (tptp.p1_s23_fraenkel A B) (tptp.p1_s23_fraenkel B C)) (tptp.p1_s23_fraenkel A C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s23_fraenkel) (not (and (tptp.r2_hidden A tptp.f2_s23_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s23_fraenkel) (not (and (tptp.r2_hidden B tptp.f2_s23_fraenkel) (tptp.p1_s23_fraenkel B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s23_fraenkel) (=> (and (tptp.r2_hidden C tptp.f2_s23_fraenkel) (tptp.p1_s23_fraenkel C B)) (tptp.p1_s23_fraenkel B C))))))))))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k5_finsub_1 tptp.f1_s24_fraenkel)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s24_fraenkel) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.f2_s24_fraenkel) (tptp.r2_hidden C tptp.f3_s24_fraenkel) (= B (tptp.f4_s24_fraenkel C)) (tptp.p1_s24_fraenkel B C)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s26_fraenkel) (not (and (tptp.r2_hidden A tptp.f3_s26_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s26_fraenkel) (not (tptp.p1_s26_fraenkel A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s26_fraenkel tptp.f2_s26_fraenkel) (tptp.m2_relset_1 A tptp.f1_s26_fraenkel tptp.f2_s26_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s26_fraenkel) (=> (tptp.r2_hidden B tptp.f3_s26_fraenkel) (tptp.p1_s26_fraenkel B (tptp.k8_funct_2 tptp.f1_s26_fraenkel tptp.f2_s26_fraenkel A B)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s27_fraenkel) (not (and (tptp.r2_hidden A tptp.f3_s27_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s27_fraenkel) (not (tptp.p1_s27_fraenkel A B)))))))) (exists ((A $$unsorted)) (and (tptp.m2_fraenkel A tptp.f1_s27_fraenkel tptp.f2_s27_fraenkel (tptp.k1_fraenkel tptp.f1_s27_fraenkel tptp.f2_s27_fraenkel)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s27_fraenkel) (=> (tptp.r2_hidden B tptp.f3_s27_fraenkel) (tptp.p1_s27_fraenkel B (tptp.k8_funct_2 tptp.f1_s27_fraenkel tptp.f2_s27_fraenkel A B)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_fraenkel C A B) (and (not (tptp.v1_xboole_0 C)) (tptp.v1_fraenkel C)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.m1_fraenkel C A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_fraenkel D A B C) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (exists ((D $$unsorted)) (tptp.m2_fraenkel D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel C A B)) (forall ((D $$unsorted)) (= (tptp.m2_fraenkel D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (tptp.m1_fraenkel (tptp.k1_fraenkel A B) A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (= (tptp.k1_fraenkel A B) (tptp.k1_funct_2 A B)))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_fraenkel) (=> (tptp.p1_s1_fraenkel A) (tptp.p2_s1_fraenkel A)))) (tptp.r1_tarski tptp.a_0_0_fraenkel tptp.a_0_1_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s2_fraenkel) (=> (tptp.p1_s2_fraenkel A B) (tptp.p2_s2_fraenkel A B)))))) (tptp.r1_tarski tptp.a_0_2_fraenkel tptp.a_0_3_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s3_fraenkel) (= (tptp.p1_s3_fraenkel A) (tptp.p2_s3_fraenkel A)))) (= tptp.a_0_4_fraenkel tptp.a_0_5_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s4_fraenkel) (= (tptp.p1_s4_fraenkel A B) (tptp.p2_s4_fraenkel A B)))))) (= tptp.a_0_6_fraenkel tptp.a_0_7_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s5_fraenkel) (= (tptp.f2_s5_fraenkel A) (tptp.f3_s5_fraenkel A)))) (= tptp.a_0_8_fraenkel tptp.a_0_9_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s6_fraenkel) (=> (tptp.p1_s6_fraenkel A) (= (tptp.f2_s6_fraenkel A) (tptp.f3_s6_fraenkel A))))) (= tptp.a_0_10_fraenkel tptp.a_0_11_fraenkel)) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s7_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s7_fraenkel) (= (tptp.f3_s7_fraenkel A B) (tptp.f4_s7_fraenkel A B)))))) (= tptp.a_0_12_fraenkel tptp.a_0_13_fraenkel)) (=> (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s8_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s8_fraenkel) (= (tptp.p1_s8_fraenkel A B) (tptp.p2_s8_fraenkel A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s8_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s8_fraenkel) (= (tptp.f3_s8_fraenkel A B) (tptp.f3_s8_fraenkel B A))))))) (= tptp.a_0_14_fraenkel tptp.a_0_15_fraenkel)) (=> (and (= (tptp.k7_relat_1 tptp.f4_s9_fraenkel tptp.f3_s9_fraenkel) (tptp.k7_relat_1 tptp.f5_s9_fraenkel tptp.f3_s9_fraenkel)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s9_fraenkel) (=> (tptp.r2_hidden A tptp.f3_s9_fraenkel) (= (tptp.p1_s9_fraenkel A) (tptp.p2_s9_fraenkel A)))))) (= tptp.a_0_16_fraenkel tptp.a_0_17_fraenkel)) (tptp.r1_tarski tptp.a_0_18_fraenkel tptp.f1_s10_fraenkel) (=> (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.a_0_19_fraenkel) (tptp.p2_s11_fraenkel A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s11_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s11_fraenkel) (=> (tptp.p1_s11_fraenkel A B) (tptp.p2_s11_fraenkel (tptp.f3_s11_fraenkel A B)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s12_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s12_fraenkel) (=> (tptp.p1_s12_fraenkel A B) (tptp.p2_s12_fraenkel (tptp.f3_s12_fraenkel A B))))))) (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.a_0_20_fraenkel) (tptp.p2_s12_fraenkel A)))) _let_147 _let_146 _let_145 (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s16_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s16_fraenkel) (not (and (tptp.p1_s16_fraenkel A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s16_fraenkel) (not (and (tptp.p2_s16_fraenkel C B) (= (tptp.f3_s16_fraenkel A B) (tptp.f3_s16_fraenkel C B)))))))))))) (tptp.r1_tarski tptp.a_0_30_fraenkel tptp.a_0_31_fraenkel)) (tptp.r1_tarski tptp.a_0_32_fraenkel tptp.f2_s17_fraenkel) _let_144 (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s19_fraenkel) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s19_fraenkel) (= (tptp.p2_s19_fraenkel A B) (and (= B tptp.f4_s19_fraenkel) (tptp.p1_s19_fraenkel A B))))))) (= tptp.a_0_34_fraenkel tptp.a_0_35_fraenkel)) _let_143 (=> (tptp.v1_finset_1 tptp.f2_s21_fraenkel) (tptp.v1_finset_1 tptp.a_0_38_fraenkel)) (=> (and (tptp.v1_finset_1 tptp.f3_s22_fraenkel) (tptp.v1_finset_1 tptp.f4_s22_fraenkel)) (tptp.v1_finset_1 tptp.a_0_39_fraenkel)) (=> (and (tptp.v1_finset_1 tptp.f3_s25_fraenkel) (tptp.v1_finset_1 tptp.f4_s25_fraenkel) (forall ((A $$unsorted)) (=> (tptp.m2_fraenkel A tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel (tptp.k1_fraenkel tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel)) (forall ((B $$unsorted)) (=> (tptp.m2_fraenkel B tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel (tptp.k1_fraenkel tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel)) (=> (= (tptp.k7_relat_1 A tptp.f3_s25_fraenkel) (tptp.k7_relat_1 B tptp.f3_s25_fraenkel)) (= (tptp.f5_s25_fraenkel A) (tptp.f5_s25_fraenkel B)))))))) (tptp.v1_finset_1 tptp.a_0_40_fraenkel)) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_fraenkel) (= A (tptp.f2_s1_fraenkel B)) (tptp.p1_s1_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s1_fraenkel) (= A (tptp.f2_s1_fraenkel B)) (tptp.p2_s1_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_fraenkel) (tptp.m1_subset_1 C tptp.f2_s2_fraenkel) (= A (tptp.f3_s2_fraenkel B C)) (tptp.p1_s2_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_3_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s2_fraenkel) (tptp.m1_subset_1 C tptp.f2_s2_fraenkel) (= A (tptp.f3_s2_fraenkel B C)) (tptp.p2_s2_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_4_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s3_fraenkel) (= A (tptp.f2_s3_fraenkel B)) (tptp.p1_s3_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_5_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s3_fraenkel) (= A (tptp.f2_s3_fraenkel B)) (tptp.p2_s3_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_6_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s4_fraenkel) (tptp.m1_subset_1 C tptp.f2_s4_fraenkel) (= A (tptp.f3_s4_fraenkel B C)) (tptp.p1_s4_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_7_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s4_fraenkel) (tptp.m1_subset_1 C tptp.f2_s4_fraenkel) (= A (tptp.f3_s4_fraenkel B C)) (tptp.p2_s4_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_8_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s5_fraenkel) (= A (tptp.f2_s5_fraenkel B)) (tptp.p1_s5_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_9_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s5_fraenkel) (= A (tptp.f3_s5_fraenkel B)) (tptp.p1_s5_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_10_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s6_fraenkel) (= A (tptp.f2_s6_fraenkel B)) (tptp.p1_s6_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_11_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s6_fraenkel) (= A (tptp.f3_s6_fraenkel B)) (tptp.p1_s6_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_12_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s7_fraenkel) (tptp.m1_subset_1 C tptp.f2_s7_fraenkel) (= A (tptp.f3_s7_fraenkel B C)) (tptp.p1_s7_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_13_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s7_fraenkel) (tptp.m1_subset_1 C tptp.f2_s7_fraenkel) (= A (tptp.f4_s7_fraenkel B C)) (tptp.p1_s7_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_14_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s8_fraenkel) (tptp.m1_subset_1 C tptp.f2_s8_fraenkel) (= A (tptp.f3_s8_fraenkel B C)) (tptp.p1_s8_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_15_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s8_fraenkel) (tptp.m1_subset_1 C tptp.f2_s8_fraenkel) (= A (tptp.f3_s8_fraenkel C B)) (tptp.p2_s8_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_16_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s9_fraenkel) (= A (tptp.k8_funct_2 tptp.f1_s9_fraenkel tptp.f2_s9_fraenkel tptp.f4_s9_fraenkel B)) (tptp.p1_s9_fraenkel B) (tptp.r2_hidden B tptp.f3_s9_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_17_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s9_fraenkel) (= A (tptp.k8_funct_2 tptp.f1_s9_fraenkel tptp.f2_s9_fraenkel tptp.f5_s9_fraenkel B)) (tptp.p2_s9_fraenkel B) (tptp.r2_hidden B tptp.f3_s9_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_18_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s10_fraenkel) (= A B) (tptp.p1_s10_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_19_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s11_fraenkel) (tptp.m1_subset_1 C tptp.f2_s11_fraenkel) (= A (tptp.f3_s11_fraenkel B C)) (tptp.p1_s11_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_20_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s12_fraenkel) (tptp.m1_subset_1 C tptp.f2_s12_fraenkel) (= A (tptp.f3_s12_fraenkel B C)) (tptp.p1_s12_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_21_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f3_s13_fraenkel) (= A B) (tptp.r2_hidden B tptp.a_0_22_fraenkel) (tptp.p2_s13_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_22_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s13_fraenkel) (tptp.m1_subset_1 C tptp.f2_s13_fraenkel) (= A (tptp.f4_s13_fraenkel B C)) (tptp.p1_s13_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_23_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.f4_s13_fraenkel B C))) (and (tptp.m1_subset_1 B tptp.f1_s13_fraenkel) (tptp.m1_subset_1 C tptp.f2_s13_fraenkel) (= A _let_1) (tptp.p1_s13_fraenkel B C) (tptp.p2_s13_fraenkel _let_1)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_24_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s14_fraenkel) (= A (tptp.f2_s14_fraenkel B)) (tptp.r2_hidden B tptp.a_0_25_fraenkel) (tptp.p1_s14_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_25_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s14_fraenkel) (= A B) (tptp.p2_s14_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_26_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s14_fraenkel) (= A (tptp.f2_s14_fraenkel B)) (tptp.p2_s14_fraenkel B) (tptp.p1_s14_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_27_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s15_fraenkel) (tptp.m1_subset_1 C tptp.f2_s15_fraenkel) (= A (tptp.f3_s15_fraenkel B C)) (tptp.r2_hidden B tptp.a_0_28_fraenkel) (tptp.p1_s15_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_28_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s15_fraenkel) (= A B) (tptp.p2_s15_fraenkel B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_29_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s15_fraenkel) (tptp.m1_subset_1 C tptp.f2_s15_fraenkel) (= A (tptp.f3_s15_fraenkel B C)) (tptp.p2_s15_fraenkel B) (tptp.p1_s15_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_30_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s16_fraenkel) (tptp.m1_subset_1 C tptp.f2_s16_fraenkel) (= A (tptp.f3_s16_fraenkel B C)) (tptp.p1_s16_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_31_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s16_fraenkel) (tptp.m1_subset_1 C tptp.f2_s16_fraenkel) (= A (tptp.f3_s16_fraenkel B C)) (tptp.p2_s16_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_32_fraenkel) (exists ((B $$unsorted)) (let ((_let_1 (tptp.f3_s17_fraenkel B))) (and (tptp.m1_subset_1 B tptp.f1_s17_fraenkel) (= A _let_1) (tptp.r2_hidden _let_1 tptp.f2_s17_fraenkel) (tptp.p1_s17_fraenkel B)))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_33_fraenkel) (exists ((B $$unsorted)) (let ((_let_1 (tptp.f3_s18_fraenkel B))) (and (tptp.m1_subset_1 B tptp.f1_s18_fraenkel) (= A _let_1) (tptp.p1_s18_fraenkel B) (not (tptp.r2_hidden _let_1 tptp.f2_s18_fraenkel))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_34_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s19_fraenkel) (tptp.m1_subset_1 C tptp.f2_s19_fraenkel) (= A (tptp.f3_s19_fraenkel B C)) (tptp.p2_s19_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_35_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s19_fraenkel) (= A (tptp.f3_s19_fraenkel B tptp.f4_s19_fraenkel)) (tptp.p1_s19_fraenkel B tptp.f4_s19_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_36_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s20_fraenkel) (tptp.m1_subset_1 C tptp.f2_s20_fraenkel) (= A (tptp.f3_s20_fraenkel B C)) (= C tptp.f4_s20_fraenkel) (tptp.p1_s20_fraenkel B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_37_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s20_fraenkel) (= A (tptp.f3_s20_fraenkel B tptp.f4_s20_fraenkel)) (tptp.p1_s20_fraenkel B tptp.f4_s20_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_38_fraenkel) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s21_fraenkel) (= A (tptp.f3_s21_fraenkel B)) (tptp.r2_hidden B tptp.f2_s21_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_39_fraenkel) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m1_subset_1 B tptp.f1_s22_fraenkel) (tptp.m1_subset_1 C tptp.f2_s22_fraenkel) (= A (tptp.f5_s22_fraenkel B C)) (tptp.r2_hidden B tptp.f3_s22_fraenkel) (tptp.r2_hidden C tptp.f4_s22_fraenkel))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_40_fraenkel) (exists ((B $$unsorted)) (and (tptp.m2_fraenkel B tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel (tptp.k1_fraenkel tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel)) (= A (tptp.f5_s25_fraenkel B)) (tptp.r1_tarski (tptp.k2_funct_2 tptp.f1_s25_fraenkel tptp.f2_s25_fraenkel B tptp.f3_s25_fraenkel) tptp.f4_s25_fraenkel))))) _let_84 _let_85 _let_83 _let_82 _let_142 _let_141 _let_140 (tptp.r2_xboole_0 tptp.k1_numbers tptp.k2_numbers) (tptp.r2_xboole_0 tptp.k3_numbers tptp.k1_numbers) (tptp.r2_xboole_0 tptp.k3_numbers tptp.k2_numbers) (tptp.r2_xboole_0 tptp.k4_numbers tptp.k3_numbers) (tptp.r2_xboole_0 tptp.k4_numbers tptp.k1_numbers) (tptp.r2_xboole_0 tptp.k4_numbers tptp.k2_numbers) (tptp.r2_xboole_0 tptp.k5_numbers tptp.k4_numbers) (tptp.r2_xboole_0 tptp.k5_numbers tptp.k3_numbers) (tptp.r2_xboole_0 tptp.k5_numbers tptp.k1_numbers) (tptp.r2_xboole_0 tptp.k5_numbers tptp.k2_numbers) (tptp.r1_tarski tptp.k1_numbers tptp.k2_numbers) (tptp.r1_tarski tptp.k3_numbers tptp.k1_numbers) (tptp.r1_tarski tptp.k3_numbers tptp.k2_numbers) (tptp.r1_tarski tptp.k4_numbers tptp.k3_numbers) (tptp.r1_tarski tptp.k4_numbers tptp.k1_numbers) (tptp.r1_tarski tptp.k4_numbers tptp.k2_numbers) (tptp.r1_tarski tptp.k5_numbers tptp.k4_numbers) (tptp.r1_tarski tptp.k5_numbers tptp.k3_numbers) (tptp.r1_tarski tptp.k5_numbers tptp.k1_numbers) (tptp.r1_tarski tptp.k5_numbers tptp.k2_numbers) (not (= tptp.k1_numbers tptp.k2_numbers)) (not (= tptp.k3_numbers tptp.k1_numbers)) (not (= tptp.k3_numbers tptp.k2_numbers)) (not (= tptp.k4_numbers tptp.k3_numbers)) (not (= tptp.k4_numbers tptp.k1_numbers)) (not (= tptp.k4_numbers tptp.k2_numbers)) (not (= tptp.k5_numbers tptp.k4_numbers)) (not (= tptp.k5_numbers tptp.k3_numbers)) (not (= tptp.k5_numbers tptp.k1_numbers)) (not (= tptp.k5_numbers tptp.k2_numbers)) true true true true (tptp.m1_subset_1 tptp.k5_numbers (tptp.k1_zfmisc_1 tptp.k1_numbers)) _let_137 _let_136 (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_numbers) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_funct_2 (tptp.k2_tarski tptp.np__0 tptp.k13_arytm_3) tptp.k1_numbers)) (= A B) (= (tptp.k1_funct_1 B tptp.k13_arytm_3) tptp.np__0))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.v1_xreal_0 A))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.v1_xcmplx_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_xcmplx_0 A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and _let_1 (tptp.v2_xreal_0 A)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) _let_1 (not (tptp.v3_xreal_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and (not (tptp.v1_xboole_0 A)) _let_1 (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xcmplx_0 A) _let_1 (tptp.v2_xreal_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and _let_1 (tptp.v3_xreal_0 A)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) _let_1 (not (tptp.v2_xreal_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and (not (tptp.v1_xboole_0 A)) _let_1 (not (tptp.v2_xreal_0 A))) (and (tptp.v1_xcmplx_0 A) _let_1 (tptp.v3_xreal_0 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and (tptp.v1_xboole_0 A) _let_1) (and (tptp.v1_xcmplx_0 A) _let_1 (not (tptp.v2_xreal_0 A)) (not (tptp.v3_xreal_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_xreal_0 A))) (=> (and _let_1 (not (tptp.v2_xreal_0 A)) (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xboole_0 A) (tptp.v1_xcmplx_0 A) _let_1)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (not (tptp.v3_xreal_0 A)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v3_xreal_0 A))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (not (tptp.v3_xreal_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v2_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v3_xreal_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (tptp.v3_xreal_0 A) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v2_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_xcmplx_0 A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 B A))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v3_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_xcmplx_0 A B))) (=> (and (tptp.v1_xreal_0 A) (not (tptp.v2_xreal_0 A)) (tptp.v1_xreal_0 B) (not (tptp.v2_xreal_0 B))) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v3_xreal_0 _let_1)))))) _let_135 (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.k1_tarski tptp.np__0) tptp.k2_arytm_2))) (let ((_let_2 (tptp.r2_hidden A _let_1))) (let ((_let_3 (tptp.r2_hidden B tptp.k2_arytm_2))) (let ((_let_4 (tptp.r1_xreal_0 A B))) (let ((_let_5 (and _let_2 (tptp.r2_hidden B _let_1)))) (let ((_let_6 (and (tptp.r2_hidden A tptp.k2_arytm_2) _let_3))) (=> (tptp.v1_xreal_0 B) (and (=> _let_6 (= _let_4 (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k2_arytm_2) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.k2_arytm_2) (= A C) (= B D) (tptp.r1_arytm_2 C D))))))) (=> _let_5 (= _let_4 (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k2_arytm_2) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.k2_arytm_2) (= A (tptp.k4_tarski tptp.np__0 C)) (= B (tptp.k4_tarski tptp.np__0 D)) (tptp.r1_arytm_2 D C))))))) (not (and (not _let_6) (not _let_5) (not (= _let_4 (and _let_3 _let_2)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.v2_xreal_0 A) (not (tptp.r1_xreal_0 A tptp.np__0))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.v3_xreal_0 A) (not (tptp.r1_xreal_0 tptp.np__0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (tptp.r1_xreal_0 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (or (tptp.r1_xreal_0 A B) (tptp.r1_xreal_0 B A)))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (tptp.v1_int_1 A))) (exists ((A $$unsorted)) (tptp.v1_int_1 A)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.v1_int_1 A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal2 A) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.v1_int_1 A))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (and (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_xcmplx_0 A))) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (not (tptp.v2_xreal_0 _let_1)) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 B A))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xcmplx_0 B A))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 B A))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.v1_int_1 B)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A B))) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1) (tptp.v1_int_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_xcmplx_0 _let_1) (tptp.v1_xreal_0 _let_1))))) (forall ((A $$unsorted)) (= (= A tptp.k4_numbers) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (not (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (and (not (= B C)) (not (= B (tptp.k1_real_1 C))))))))))) _let_134 true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (or (= A B) (= A (tptp.k4_xcmplx_0 B))) (tptp.v1_int_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (not (and (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (and (not (= A B)) (not (= A (tptp.k1_real_1 B)))))))))) true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.r1_xreal_0 tptp.np__0 A) (tptp.r2_hidden A tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (=> (tptp.v1_int_1 A) (and (tptp.v1_int_1 (tptp.k2_xcmplx_0 A tptp.np__1)) (tptp.v1_int_1 (tptp.k6_xcmplx_0 A tptp.np__1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (tptp.r1_xreal_0 A B) (tptp.r2_hidden (tptp.k6_xcmplx_0 B A) tptp.k5_numbers)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (=> (= (tptp.k2_xcmplx_0 B A) C) (tptp.r1_xreal_0 B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (not (tptp.r1_xreal_0 B A)) (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 A tptp.np__1) B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (not (tptp.r1_xreal_0 tptp.np__0 A)) (tptp.r1_xreal_0 A (tptp.k1_real_1 tptp.np__1))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_real_1 tptp.np__1))) (=> (tptp.v1_int_1 B) (= (= (tptp.k3_xcmplx_0 A B) tptp.np__1) (or (and (= A tptp.np__1) (= B tptp.np__1)) (and (= A _let_1) (= B _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_real_1 tptp.np__1))) (=> (tptp.v1_int_1 B) (= (= (tptp.k3_xcmplx_0 A B) _let_1) (or (and (= A _let_1) (= B tptp.np__1)) (and (= A tptp.np__1) (= B _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (= (tptp.r1_int_1 A B C) (exists ((D $$unsorted)) (and (tptp.v1_int_1 D) (= (tptp.k3_xcmplx_0 C D) (tptp.k6_xcmplx_0 A B))))))))))) true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (tptp.r1_int_1 A A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (and (tptp.r1_int_1 A tptp.np__0 A) (tptp.r1_int_1 tptp.np__0 A A)))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (tptp.r1_int_1 A B tptp.np__1))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (=> (tptp.r1_int_1 A B C) (tptp.r1_int_1 B A C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (=> (and (tptp.r1_int_1 A B C) (tptp.r1_int_1 B D C)) (tptp.r1_int_1 A D C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (forall ((E $$unsorted)) (=> (tptp.v1_int_1 E) (=> (and (tptp.r1_int_1 A B C) (tptp.r1_int_1 D E C)) (tptp.r1_int_1 (tptp.k2_xcmplx_0 A D) (tptp.k2_xcmplx_0 B E) C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (forall ((E $$unsorted)) (=> (tptp.v1_int_1 E) (=> (and (tptp.r1_int_1 A B C) (tptp.r1_int_1 D E C)) (tptp.r1_int_1 (tptp.k6_xcmplx_0 A D) (tptp.k6_xcmplx_0 B E) C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (forall ((E $$unsorted)) (=> (tptp.v1_int_1 E) (=> (and (tptp.r1_int_1 A B C) (tptp.r1_int_1 D E C)) (tptp.r1_int_1 (tptp.k3_xcmplx_0 A D) (tptp.k3_xcmplx_0 B E) C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (= (tptp.r1_int_1 (tptp.k2_xcmplx_0 A B) C D) (tptp.r1_int_1 A (tptp.k6_xcmplx_0 C B) D)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (forall ((D $$unsorted)) (=> (tptp.v1_int_1 D) (forall ((E $$unsorted)) (=> (tptp.v1_int_1 E) (=> (and (= (tptp.k3_xcmplx_0 A B) C) (tptp.r1_int_1 D E C)) (tptp.r1_int_1 D E A)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (= (tptp.r1_int_1 A B C) (tptp.r1_int_1 (tptp.k2_xcmplx_0 A C) B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (= (tptp.r1_int_1 A B C) (tptp.r1_int_1 (tptp.k6_xcmplx_0 A C) B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_xcmplx_0 A tptp.np__1))) (=> (tptp.v1_int_1 C) (=> (and (tptp.r1_xreal_0 B A) (tptp.r1_xreal_0 C A)) (or (tptp.r1_xreal_0 B _let_1) (tptp.r1_xreal_0 C _let_1) (= B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v1_int_1 C) (=> (and (tptp.r1_xreal_0 A B) (tptp.r1_xreal_0 A C)) (or (tptp.r1_xreal_0 _let_1 B) (tptp.r1_xreal_0 _let_1 C) (= B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (= B (tptp.k1_int_1 A)) (and (tptp.r1_xreal_0 B A) (not (tptp.r1_xreal_0 B (tptp.k6_xcmplx_0 A tptp.np__1))))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (= (tptp.k1_int_1 A) A) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xreal_0 A (tptp.k1_int_1 A)))) (let ((_let_2 (tptp.v1_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (tptp.r1_xreal_0 A (tptp.k6_xcmplx_0 _let_1 tptp.np__1))) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 A tptp.np__1) _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.k2_xcmplx_0 (tptp.k1_int_1 A) B) (tptp.k1_int_1 (tptp.k2_xcmplx_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 (tptp.k1_int_1 A) tptp.np__1) A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (= B (tptp.k2_int_1 A)) (and (tptp.r1_xreal_0 A B) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 A tptp.np__1) B)))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (= (tptp.k2_int_1 A) A) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xreal_0 (tptp.k2_int_1 A) A))) (let ((_let_2 (tptp.v1_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (tptp.r1_xreal_0 _let_1 (tptp.k6_xcmplx_0 A tptp.np__1))) (not (tptp.r1_xreal_0 (tptp.k2_xcmplx_0 _let_1 tptp.np__1) A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.k2_xcmplx_0 (tptp.k2_int_1 A) B) (tptp.k2_int_1 (tptp.k2_xcmplx_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (= (tptp.k1_int_1 A) (tptp.k2_int_1 A)) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xreal_0 (tptp.k2_int_1 A) (tptp.k1_int_1 A)))) (let ((_let_2 (tptp.v1_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.r1_xreal_0 (tptp.k1_int_1 A) (tptp.k2_int_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_int_1 A))) (=> (tptp.v1_xreal_0 A) (= (tptp.k1_int_1 _let_1) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_int_1 A))) (=> (tptp.v1_xreal_0 A) (= (tptp.k1_int_1 _let_1) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_int_1 A))) (=> (tptp.v1_xreal_0 A) (= (tptp.k2_int_1 _let_1) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_int_1 A))) (=> (tptp.v1_xreal_0 A) (= (tptp.k2_int_1 _let_1) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_int_1 A))) (let ((_let_2 (tptp.k1_int_1 A))) (=> (tptp.v1_xreal_0 A) (= (= _let_2 _let_1) (not (= (tptp.k2_xcmplx_0 _let_2 tptp.np__1) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.k3_int_1 A) (tptp.k6_xcmplx_0 A (tptp.k1_int_1 A))))) true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= A (tptp.k2_xcmplx_0 (tptp.k1_int_1 A) (tptp.k4_int_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (tptp.r1_xreal_0 tptp.np__1 _let_1)) (tptp.r1_xreal_0 tptp.np__0 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.k1_int_1 (tptp.k4_int_1 A)) tptp.np__0))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (= (tptp.k4_int_1 A) tptp.np__0) (tptp.v1_int_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.r1_xreal_0 (tptp.k4_int_1 A) tptp.np__0))) (let ((_let_2 (tptp.v1_int_1 A))) (=> (tptp.v1_xreal_0 A) (and (not (and (not _let_1) _let_2)) (not (and (not _let_2) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.k5_int_1 A B) (tptp.k1_int_1 (tptp.k7_xcmplx_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_int_1 A B))) (let ((_let_2 (= B tptp.np__0))) (=> (tptp.v1_int_1 B) (and (=> (not _let_2) (= _let_1 (tptp.k6_xcmplx_0 A (tptp.k3_xcmplx_0 (tptp.k5_int_1 A B) B)))) (=> _let_2 (= _let_1 tptp.np__0))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.r2_int_1 A B) (exists ((C $$unsorted)) (and (tptp.v1_int_1 C) (= B (tptp.k3_xcmplx_0 A C))))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (=> (not (= A tptp.np__0)) (= (tptp.k1_int_1 (tptp.k7_xcmplx_0 A A)) tptp.np__1)))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (= (tptp.k5_int_1 A tptp.np__0) tptp.np__0))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (not (= A tptp.np__0)) (= (tptp.k5_int_1 A A) tptp.np__1)))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (= (tptp.k6_int_1 A A) tptp.np__0))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (not (and (not (tptp.r1_xreal_0 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (= C (tptp.k6_xcmplx_0 B A)) (tptp.r1_xreal_0 tptp.np__1 C))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (not (tptp.r1_xreal_0 B A)) (tptp.r1_xreal_0 A (tptp.k6_xcmplx_0 B tptp.np__1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_int_1 A))) (let ((_let_2 (tptp.k2_int_1 A))) (=> (tptp.v1_xreal_0 A) (=> (tptp.r1_xreal_0 tptp.np__0 A) (and (tptp.r1_xreal_0 tptp.np__0 _let_2) (tptp.r1_xreal_0 tptp.np__0 _let_1) (tptp.m2_subset_1 _let_2 tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 _let_1 tptp.k1_numbers tptp.k5_numbers))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (=> (tptp.r1_xreal_0 A B) (tptp.r1_xreal_0 A (tptp.k1_int_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (tptp.r1_xreal_0 tptp.np__0 (tptp.k5_int_1 A B)))))) (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k4_numbers)) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.r2_hidden B A) (tptp.p1_s1_int_1 B)))))) (=> (and (tptp.p1_s2_int_1 tptp.f1_s2_int_1) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (and (tptp.r1_xreal_0 tptp.f1_s2_int_1 A) (tptp.p1_s2_int_1 A)) (tptp.p1_s2_int_1 (tptp.k2_xcmplx_0 A tptp.np__1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.r1_xreal_0 tptp.f1_s2_int_1 A) (tptp.p1_s2_int_1 A))))) (=> (and (tptp.p1_s3_int_1 tptp.f1_s3_int_1) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (and (tptp.r1_xreal_0 A tptp.f1_s3_int_1) (tptp.p1_s3_int_1 A)) (tptp.p1_s3_int_1 (tptp.k6_xcmplx_0 A tptp.np__1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.r1_xreal_0 A tptp.f1_s3_int_1) (tptp.p1_s3_int_1 A))))) (=> (and (tptp.p1_s4_int_1 tptp.f1_s4_int_1) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.p1_s4_int_1 A) (and (tptp.p1_s4_int_1 (tptp.k6_xcmplx_0 A tptp.np__1)) (tptp.p1_s4_int_1 (tptp.k2_xcmplx_0 A tptp.np__1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (tptp.p1_s4_int_1 A)))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.p1_s5_int_1 A) (tptp.r1_xreal_0 tptp.f1_s5_int_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_int_1 A) (tptp.p1_s5_int_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_int_1 A) (tptp.p1_s5_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (tptp.p1_s5_int_1 B) (tptp.r1_xreal_0 A B))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (=> (tptp.p1_s6_int_1 A) (tptp.r1_xreal_0 A tptp.f1_s6_int_1)))) (exists ((A $$unsorted)) (and (tptp.v1_int_1 A) (tptp.p1_s6_int_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_int_1 A) (tptp.p1_s6_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (=> (tptp.p1_s6_int_1 B) (tptp.r1_xreal_0 B A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (tptp.r2_int_1 A A))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.v1_int_1 (tptp.k1_int_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.v1_int_1 (tptp.k2_int_1 A)))) true (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (tptp.m1_subset_1 (tptp.k4_int_1 A) tptp.k1_numbers))) (forall ((A $$unsorted)) (=> (tptp.v1_xreal_0 A) (= (tptp.k4_int_1 A) (tptp.k3_int_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (tptp.v1_int_1 (tptp.k5_int_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (tptp.v1_int_1 (tptp.k6_int_1 A B)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k3_numbers) (and (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (tptp.v1_rat_1 A)))) (and _let_110 _let_109 _let_133 _let_132) (and _let_108 _let_107 _let_123 _let_122) (and _let_105 _let_104 _let_131 _let_130) (and _let_103 _let_102 _let_121 _let_120) (and _let_100 _let_99 _let_129 _let_128) (and _let_98 _let_97 _let_119 _let_118) (and _let_95 _let_94 _let_127 _let_126) (and _let_93 _let_92 _let_117 _let_116) (and _let_90 _let_89 _let_125 _let_124) (and _let_88 _let_87 _let_115 _let_114) (and _let_110 _let_109 _let_133 _let_132 (tptp.v1_setwiseo tptp.k27_binop_2 tptp.k2_numbers)) (and _let_105 _let_104 _let_131 _let_130 (tptp.v1_setwiseo tptp.k33_binop_2 tptp.k1_numbers)) (and _let_100 _let_99 _let_129 _let_128 (tptp.v1_setwiseo tptp.k39_binop_2 tptp.k3_numbers)) (and _let_95 _let_94 _let_127 _let_126 (tptp.v1_setwiseo tptp.k44_binop_2 tptp.k4_numbers)) (and _let_90 _let_89 _let_125 _let_124 (tptp.v1_setwiseo tptp.k47_binop_2 tptp.k5_numbers)) (and _let_108 _let_107 _let_123 _let_122 (tptp.v1_setwiseo tptp.k29_binop_2 tptp.k2_numbers)) (and _let_103 _let_102 _let_121 _let_120 (tptp.v1_setwiseo tptp.k35_binop_2 tptp.k1_numbers)) (and _let_98 _let_97 _let_119 _let_118 (tptp.v1_setwiseo tptp.k41_binop_2 tptp.k3_numbers)) (and _let_93 _let_92 _let_117 _let_116 (tptp.v1_setwiseo tptp.k46_binop_2 tptp.k4_numbers)) (and _let_88 _let_87 _let_115 _let_114 (tptp.v1_setwiseo tptp.k48_binop_2 tptp.k5_numbers)) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k2_numbers tptp.k2_numbers) (tptp.m2_relset_1 A tptp.k2_numbers tptp.k2_numbers)) (= (= A tptp.k25_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k2_numbers) (= (tptp.k8_funct_2 tptp.k2_numbers tptp.k2_numbers A B) (tptp.k1_binop_2 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k2_numbers tptp.k2_numbers) (tptp.m2_relset_1 A tptp.k2_numbers tptp.k2_numbers)) (= (= A tptp.k26_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k2_numbers) (= (tptp.k8_funct_2 tptp.k2_numbers tptp.k2_numbers A B) (tptp.k2_binop_2 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k2_numbers tptp.k2_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k2_numbers) (tptp.m2_relset_1 A _let_1 tptp.k2_numbers)) (= (= A tptp.k27_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k2_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k2_numbers) (= (tptp.k2_binop_1 tptp.k2_numbers tptp.k2_numbers tptp.k2_numbers A B C) (tptp.k3_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k2_numbers tptp.k2_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k2_numbers) (tptp.m2_relset_1 A _let_1 tptp.k2_numbers)) (= (= A tptp.k28_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k2_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k2_numbers) (= (tptp.k2_binop_1 tptp.k2_numbers tptp.k2_numbers tptp.k2_numbers A B C) (tptp.k4_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k2_numbers tptp.k2_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k2_numbers) (tptp.m2_relset_1 A _let_1 tptp.k2_numbers)) (= (= A tptp.k29_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k2_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k2_numbers) (= (tptp.k2_binop_1 tptp.k2_numbers tptp.k2_numbers tptp.k2_numbers A B C) (tptp.k5_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k2_numbers tptp.k2_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k2_numbers) (tptp.m2_relset_1 A _let_1 tptp.k2_numbers)) (= (= A tptp.k30_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k2_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k2_numbers) (= (tptp.k2_binop_1 tptp.k2_numbers tptp.k2_numbers tptp.k2_numbers A B C) (tptp.k6_binop_2 B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k1_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k1_numbers tptp.k1_numbers)) (= (= A tptp.k31_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.k8_funct_2 tptp.k1_numbers tptp.k1_numbers A B) (tptp.k7_binop_2 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k1_numbers tptp.k1_numbers) (tptp.m2_relset_1 A tptp.k1_numbers tptp.k1_numbers)) (= (= A tptp.k32_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.k8_funct_2 tptp.k1_numbers tptp.k1_numbers A B) (tptp.k8_binop_2 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers tptp.k1_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k1_numbers) (tptp.m2_relset_1 A _let_1 tptp.k1_numbers)) (= (= A tptp.k33_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.k2_binop_1 tptp.k1_numbers tptp.k1_numbers tptp.k1_numbers A B C) (tptp.k9_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers tptp.k1_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k1_numbers) (tptp.m2_relset_1 A _let_1 tptp.k1_numbers)) (= (= A tptp.k34_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.k2_binop_1 tptp.k1_numbers tptp.k1_numbers tptp.k1_numbers A B C) (tptp.k10_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers tptp.k1_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k1_numbers) (tptp.m2_relset_1 A _let_1 tptp.k1_numbers)) (= (= A tptp.k35_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.k2_binop_1 tptp.k1_numbers tptp.k1_numbers tptp.k1_numbers A B C) (tptp.k11_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers tptp.k1_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k1_numbers) (tptp.m2_relset_1 A _let_1 tptp.k1_numbers)) (= (= A tptp.k36_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.k2_binop_1 tptp.k1_numbers tptp.k1_numbers tptp.k1_numbers A B C) (tptp.k12_binop_2 B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k3_numbers tptp.k3_numbers) (tptp.m2_relset_1 A tptp.k3_numbers tptp.k3_numbers)) (= (= A tptp.k37_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k3_numbers) (= (tptp.k8_funct_2 tptp.k3_numbers tptp.k3_numbers A B) (tptp.k13_binop_2 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k3_numbers tptp.k3_numbers) (tptp.m2_relset_1 A tptp.k3_numbers tptp.k3_numbers)) (= (= A tptp.k38_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k3_numbers) (= (tptp.k8_funct_2 tptp.k3_numbers tptp.k3_numbers A B) (tptp.k14_binop_2 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k3_numbers tptp.k3_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k3_numbers) (tptp.m2_relset_1 A _let_1 tptp.k3_numbers)) (= (= A tptp.k39_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k3_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k3_numbers) (= (tptp.k2_binop_1 tptp.k3_numbers tptp.k3_numbers tptp.k3_numbers A B C) (tptp.k15_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k3_numbers tptp.k3_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k3_numbers) (tptp.m2_relset_1 A _let_1 tptp.k3_numbers)) (= (= A tptp.k40_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k3_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k3_numbers) (= (tptp.k2_binop_1 tptp.k3_numbers tptp.k3_numbers tptp.k3_numbers A B C) (tptp.k16_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k3_numbers tptp.k3_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k3_numbers) (tptp.m2_relset_1 A _let_1 tptp.k3_numbers)) (= (= A tptp.k41_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k3_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k3_numbers) (= (tptp.k2_binop_1 tptp.k3_numbers tptp.k3_numbers tptp.k3_numbers A B C) (tptp.k17_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k3_numbers tptp.k3_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k3_numbers) (tptp.m2_relset_1 A _let_1 tptp.k3_numbers)) (= (= A tptp.k42_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k3_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k3_numbers) (= (tptp.k2_binop_1 tptp.k3_numbers tptp.k3_numbers tptp.k3_numbers A B C) (tptp.k18_binop_2 B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k4_numbers tptp.k4_numbers) (tptp.m2_relset_1 A tptp.k4_numbers tptp.k4_numbers)) (= (= A tptp.k43_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k4_numbers) (= (tptp.k8_funct_2 tptp.k4_numbers tptp.k4_numbers A B) (tptp.k19_binop_2 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k4_numbers tptp.k4_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k4_numbers) (tptp.m2_relset_1 A _let_1 tptp.k4_numbers)) (= (= A tptp.k44_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k4_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k4_numbers) (= (tptp.k2_binop_1 tptp.k4_numbers tptp.k4_numbers tptp.k4_numbers A B C) (tptp.k20_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k4_numbers tptp.k4_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k4_numbers) (tptp.m2_relset_1 A _let_1 tptp.k4_numbers)) (= (= A tptp.k45_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k4_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k4_numbers) (= (tptp.k2_binop_1 tptp.k4_numbers tptp.k4_numbers tptp.k4_numbers A B C) (tptp.k21_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k4_numbers tptp.k4_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k4_numbers) (tptp.m2_relset_1 A _let_1 tptp.k4_numbers)) (= (= A tptp.k46_binop_2) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k4_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k4_numbers) (= (tptp.k2_binop_1 tptp.k4_numbers tptp.k4_numbers tptp.k4_numbers A B C) (tptp.k22_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k5_numbers tptp.k5_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k5_numbers) (tptp.m2_relset_1 A _let_1 tptp.k5_numbers)) (= (= A tptp.k47_binop_2) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_binop_1 tptp.k5_numbers tptp.k5_numbers tptp.k5_numbers A B C) (tptp.k23_binop_2 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k5_numbers tptp.k5_numbers))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.k5_numbers) (tptp.m2_relset_1 A _let_1 tptp.k5_numbers)) (= (= A tptp.k48_binop_2) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_binop_1 tptp.k5_numbers tptp.k5_numbers tptp.k5_numbers A B C) (tptp.k24_binop_2 B C)))))))))) (= (tptp.k3_binop_1 tptp.k2_numbers tptp.k27_binop_2) tptp.np__0) (= (tptp.k3_binop_1 tptp.k1_numbers tptp.k33_binop_2) tptp.np__0) (= (tptp.k3_binop_1 tptp.k3_numbers tptp.k39_binop_2) tptp.np__0) (= (tptp.k3_binop_1 tptp.k4_numbers tptp.k44_binop_2) tptp.np__0) _let_113 _let_112 (= (tptp.k3_binop_1 tptp.k1_numbers tptp.k35_binop_2) tptp.np__1) (= (tptp.k3_binop_1 tptp.k3_numbers tptp.k41_binop_2) tptp.np__1) (= (tptp.k3_binop_1 tptp.k4_numbers tptp.k46_binop_2) tptp.np__1) (= (tptp.k3_binop_1 tptp.k5_numbers tptp.k48_binop_2) tptp.np__1) (forall ((A $$unsorted)) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.f1_s1_binop_2 tptp.f2_s1_binop_2) (tptp.m2_relset_1 A tptp.f1_s1_binop_2 tptp.f2_s1_binop_2)) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.f1_s1_binop_2 tptp.f2_s1_binop_2) (tptp.m2_relset_1 B tptp.f1_s1_binop_2 tptp.f2_s1_binop_2)) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_binop_2) (= (tptp.k8_funct_2 tptp.f1_s1_binop_2 tptp.f2_s1_binop_2 A C) (tptp.f3_s1_binop_2 C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s1_binop_2) (= (tptp.k8_funct_2 tptp.f1_s1_binop_2 tptp.f2_s1_binop_2 B C) (tptp.f3_s1_binop_2 C))))) (= A B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s2_binop_2 tptp.f1_s2_binop_2))) (=> (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A _let_1 tptp.f1_s2_binop_2) (tptp.m2_relset_1 A _let_1 tptp.f1_s2_binop_2)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.f1_s2_binop_2 tptp.f1_s2_binop_2))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 tptp.f1_s2_binop_2) (tptp.m2_relset_1 B _let_1 tptp.f1_s2_binop_2)) (=> (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_binop_2) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s2_binop_2) (= (tptp.k2_binop_1 tptp.f1_s2_binop_2 tptp.f1_s2_binop_2 tptp.f1_s2_binop_2 A C D) (tptp.f2_s2_binop_2 C D)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s2_binop_2) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f1_s2_binop_2) (= (tptp.k2_binop_1 tptp.f1_s2_binop_2 tptp.f1_s2_binop_2 tptp.f1_s2_binop_2 B C D) (tptp.f2_s2_binop_2 C D))))))) (= A B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 (tptp.k1_binop_2 A) tptp.k2_numbers))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k2_numbers) (= (tptp.k1_binop_2 (tptp.k1_binop_2 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k2_numbers) (= (tptp.k1_binop_2 A) (tptp.k4_xcmplx_0 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 (tptp.k2_binop_2 A) tptp.k2_numbers))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k2_numbers) (= (tptp.k2_binop_2 (tptp.k2_binop_2 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k2_numbers) (= (tptp.k2_binop_2 A) (tptp.k5_xcmplx_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 B tptp.k2_numbers)) (tptp.m1_subset_1 (tptp.k3_binop_2 A B) tptp.k2_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 B tptp.k2_numbers)) (= (tptp.k3_binop_2 A B) (tptp.k3_binop_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 B tptp.k2_numbers)) (= (tptp.k3_binop_2 A B) (tptp.k2_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 B tptp.k2_numbers)) (tptp.m1_subset_1 (tptp.k4_binop_2 A B) tptp.k2_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 B tptp.k2_numbers)) (= (tptp.k4_binop_2 A B) (tptp.k6_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 B tptp.k2_numbers)) (tptp.m1_subset_1 (tptp.k5_binop_2 A B) tptp.k2_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 B tptp.k2_numbers)) (= (tptp.k5_binop_2 A B) (tptp.k5_binop_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 B tptp.k2_numbers)) (= (tptp.k5_binop_2 A B) (tptp.k3_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 B tptp.k2_numbers)) (tptp.m1_subset_1 (tptp.k6_binop_2 A B) tptp.k2_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_numbers) (tptp.m1_subset_1 B tptp.k2_numbers)) (= (tptp.k6_binop_2 A B) (tptp.k7_xcmplx_0 A B)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 (tptp.k7_binop_2 A) tptp.k1_numbers))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (= (tptp.k7_binop_2 (tptp.k7_binop_2 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (= (tptp.k7_binop_2 A) (tptp.k4_xcmplx_0 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 (tptp.k8_binop_2 A) tptp.k1_numbers))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (= (tptp.k8_binop_2 (tptp.k8_binop_2 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (= (tptp.k8_binop_2 A) (tptp.k5_xcmplx_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 B tptp.k1_numbers)) (tptp.m1_subset_1 (tptp.k9_binop_2 A B) tptp.k1_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 B tptp.k1_numbers)) (= (tptp.k9_binop_2 A B) (tptp.k9_binop_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 B tptp.k1_numbers)) (= (tptp.k9_binop_2 A B) (tptp.k2_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 B tptp.k1_numbers)) (tptp.m1_subset_1 (tptp.k10_binop_2 A B) tptp.k1_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 B tptp.k1_numbers)) (= (tptp.k10_binop_2 A B) (tptp.k6_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 B tptp.k1_numbers)) (tptp.m1_subset_1 (tptp.k11_binop_2 A B) tptp.k1_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 B tptp.k1_numbers)) (= (tptp.k11_binop_2 A B) (tptp.k11_binop_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 B tptp.k1_numbers)) (= (tptp.k11_binop_2 A B) (tptp.k3_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 B tptp.k1_numbers)) (tptp.m1_subset_1 (tptp.k12_binop_2 A B) tptp.k1_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k1_numbers) (tptp.m1_subset_1 B tptp.k1_numbers)) (= (tptp.k12_binop_2 A B) (tptp.k7_xcmplx_0 A B)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 (tptp.k13_binop_2 A) tptp.k3_numbers))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k3_numbers) (= (tptp.k13_binop_2 (tptp.k13_binop_2 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k3_numbers) (= (tptp.k13_binop_2 A) (tptp.k4_xcmplx_0 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 (tptp.k14_binop_2 A) tptp.k3_numbers))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k3_numbers) (= (tptp.k14_binop_2 (tptp.k14_binop_2 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k3_numbers) (= (tptp.k14_binop_2 A) (tptp.k5_xcmplx_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 B tptp.k3_numbers)) (tptp.m1_subset_1 (tptp.k15_binop_2 A B) tptp.k3_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 B tptp.k3_numbers)) (= (tptp.k15_binop_2 A B) (tptp.k15_binop_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 B tptp.k3_numbers)) (= (tptp.k15_binop_2 A B) (tptp.k2_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 B tptp.k3_numbers)) (tptp.m1_subset_1 (tptp.k16_binop_2 A B) tptp.k3_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 B tptp.k3_numbers)) (= (tptp.k16_binop_2 A B) (tptp.k6_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 B tptp.k3_numbers)) (tptp.m1_subset_1 (tptp.k17_binop_2 A B) tptp.k3_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 B tptp.k3_numbers)) (= (tptp.k17_binop_2 A B) (tptp.k17_binop_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 B tptp.k3_numbers)) (= (tptp.k17_binop_2 A B) (tptp.k3_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 B tptp.k3_numbers)) (tptp.m1_subset_1 (tptp.k18_binop_2 A B) tptp.k3_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k3_numbers) (tptp.m1_subset_1 B tptp.k3_numbers)) (= (tptp.k18_binop_2 A B) (tptp.k7_xcmplx_0 A B)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.m1_subset_1 (tptp.k19_binop_2 A) tptp.k4_numbers))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k4_numbers) (= (tptp.k19_binop_2 (tptp.k19_binop_2 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k4_numbers) (= (tptp.k19_binop_2 A) (tptp.k4_xcmplx_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.m1_subset_1 B tptp.k4_numbers)) (tptp.m1_subset_1 (tptp.k20_binop_2 A B) tptp.k4_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.m1_subset_1 B tptp.k4_numbers)) (= (tptp.k20_binop_2 A B) (tptp.k20_binop_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.m1_subset_1 B tptp.k4_numbers)) (= (tptp.k20_binop_2 A B) (tptp.k2_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.m1_subset_1 B tptp.k4_numbers)) (tptp.m1_subset_1 (tptp.k21_binop_2 A B) tptp.k4_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.m1_subset_1 B tptp.k4_numbers)) (= (tptp.k21_binop_2 A B) (tptp.k6_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.m1_subset_1 B tptp.k4_numbers)) (tptp.m1_subset_1 (tptp.k22_binop_2 A B) tptp.k4_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.m1_subset_1 B tptp.k4_numbers)) (= (tptp.k22_binop_2 A B) (tptp.k22_binop_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k4_numbers) (tptp.m1_subset_1 B tptp.k4_numbers)) (= (tptp.k22_binop_2 A B) (tptp.k3_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (tptp.m2_subset_1 (tptp.k23_binop_2 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (= (tptp.k23_binop_2 A B) (tptp.k23_binop_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (= (tptp.k23_binop_2 A B) (tptp.k2_xcmplx_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (tptp.m2_subset_1 (tptp.k24_binop_2 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (= (tptp.k24_binop_2 A B) (tptp.k24_binop_2 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (= (tptp.k24_binop_2 A B) (tptp.k3_xcmplx_0 A B)))) (and (tptp.v1_funct_1 tptp.k25_binop_2) (tptp.v1_funct_2 tptp.k25_binop_2 tptp.k2_numbers tptp.k2_numbers) (tptp.m2_relset_1 tptp.k25_binop_2 tptp.k2_numbers tptp.k2_numbers)) (and (tptp.v1_funct_1 tptp.k26_binop_2) (tptp.v1_funct_2 tptp.k26_binop_2 tptp.k2_numbers tptp.k2_numbers) (tptp.m2_relset_1 tptp.k26_binop_2 tptp.k2_numbers tptp.k2_numbers)) (and _let_110 _let_109 (tptp.m2_relset_1 tptp.k27_binop_2 _let_106 tptp.k2_numbers)) (and (tptp.v1_funct_1 tptp.k28_binop_2) (tptp.v1_funct_2 tptp.k28_binop_2 _let_106 tptp.k2_numbers) (tptp.m2_relset_1 tptp.k28_binop_2 _let_106 tptp.k2_numbers)) (and _let_108 _let_107 (tptp.m2_relset_1 tptp.k29_binop_2 _let_106 tptp.k2_numbers)) (and (tptp.v1_funct_1 tptp.k30_binop_2) (tptp.v1_funct_2 tptp.k30_binop_2 _let_106 tptp.k2_numbers) (tptp.m2_relset_1 tptp.k30_binop_2 _let_106 tptp.k2_numbers)) (and (tptp.v1_funct_1 tptp.k31_binop_2) (tptp.v1_funct_2 tptp.k31_binop_2 tptp.k1_numbers tptp.k1_numbers) (tptp.m2_relset_1 tptp.k31_binop_2 tptp.k1_numbers tptp.k1_numbers)) (and (tptp.v1_funct_1 tptp.k32_binop_2) (tptp.v1_funct_2 tptp.k32_binop_2 tptp.k1_numbers tptp.k1_numbers) (tptp.m2_relset_1 tptp.k32_binop_2 tptp.k1_numbers tptp.k1_numbers)) (and _let_105 _let_104 (tptp.m2_relset_1 tptp.k33_binop_2 _let_101 tptp.k1_numbers)) (and (tptp.v1_funct_1 tptp.k34_binop_2) (tptp.v1_funct_2 tptp.k34_binop_2 _let_101 tptp.k1_numbers) (tptp.m2_relset_1 tptp.k34_binop_2 _let_101 tptp.k1_numbers)) (and _let_103 _let_102 (tptp.m2_relset_1 tptp.k35_binop_2 _let_101 tptp.k1_numbers)) (and (tptp.v1_funct_1 tptp.k36_binop_2) (tptp.v1_funct_2 tptp.k36_binop_2 _let_101 tptp.k1_numbers) (tptp.m2_relset_1 tptp.k36_binop_2 _let_101 tptp.k1_numbers)) (and (tptp.v1_funct_1 tptp.k37_binop_2) (tptp.v1_funct_2 tptp.k37_binop_2 tptp.k3_numbers tptp.k3_numbers) (tptp.m2_relset_1 tptp.k37_binop_2 tptp.k3_numbers tptp.k3_numbers)) (and (tptp.v1_funct_1 tptp.k38_binop_2) (tptp.v1_funct_2 tptp.k38_binop_2 tptp.k3_numbers tptp.k3_numbers) (tptp.m2_relset_1 tptp.k38_binop_2 tptp.k3_numbers tptp.k3_numbers)) (and _let_100 _let_99 (tptp.m2_relset_1 tptp.k39_binop_2 _let_96 tptp.k3_numbers)) (and (tptp.v1_funct_1 tptp.k40_binop_2) (tptp.v1_funct_2 tptp.k40_binop_2 _let_96 tptp.k3_numbers) (tptp.m2_relset_1 tptp.k40_binop_2 _let_96 tptp.k3_numbers)) (and _let_98 _let_97 (tptp.m2_relset_1 tptp.k41_binop_2 _let_96 tptp.k3_numbers)) (and (tptp.v1_funct_1 tptp.k42_binop_2) (tptp.v1_funct_2 tptp.k42_binop_2 _let_96 tptp.k3_numbers) (tptp.m2_relset_1 tptp.k42_binop_2 _let_96 tptp.k3_numbers)) (and (tptp.v1_funct_1 tptp.k43_binop_2) (tptp.v1_funct_2 tptp.k43_binop_2 tptp.k4_numbers tptp.k4_numbers) (tptp.m2_relset_1 tptp.k43_binop_2 tptp.k4_numbers tptp.k4_numbers)) (and _let_95 _let_94 (tptp.m2_relset_1 tptp.k44_binop_2 _let_91 tptp.k4_numbers)) (and (tptp.v1_funct_1 tptp.k45_binop_2) (tptp.v1_funct_2 tptp.k45_binop_2 _let_91 tptp.k4_numbers) (tptp.m2_relset_1 tptp.k45_binop_2 _let_91 tptp.k4_numbers)) (and _let_93 _let_92 (tptp.m2_relset_1 tptp.k46_binop_2 _let_91 tptp.k4_numbers)) (and _let_90 _let_89 (tptp.m2_relset_1 tptp.k47_binop_2 _let_86 tptp.k5_numbers)) (and _let_88 _let_87 (tptp.m2_relset_1 tptp.k48_binop_2 _let_86 tptp.k5_numbers)) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k2_numbers)) (tptp.v1_membered A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k1_numbers)) (and (tptp.v1_membered A) (tptp.v2_membered A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k3_numbers)) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k4_numbers)) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k1_zfmisc_1 tptp.k5_numbers)) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (and _let_85 (tptp.v1_membered tptp.k2_numbers)) (and _let_84 (tptp.v1_membered tptp.k1_numbers) (tptp.v2_membered tptp.k1_numbers)) (and _let_83 (tptp.v1_membered tptp.k3_numbers) (tptp.v2_membered tptp.k3_numbers) (tptp.v3_membered tptp.k3_numbers)) (and _let_82 (tptp.v1_membered tptp.k4_numbers) (tptp.v2_membered tptp.k4_numbers) (tptp.v3_membered tptp.k4_numbers) (tptp.v4_membered tptp.k4_numbers)) (and _let_36 _let_35 _let_34 _let_33 _let_32) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (tptp.v1_xcmplx_0 B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (and (tptp.v1_xcmplx_0 B) (tptp.v4_ordinal2 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (and _let_74 (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0)) (forall ((A $$unsorted)) (=> (tptp.v1_xboole_0 A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_xcmplx_0 A) (tptp.v1_membered (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_xreal_0 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_rat_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v1_int_1 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (tptp.v4_ordinal2 A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_xcmplx_0 A) (tptp.v1_xcmplx_0 B)) (tptp.v1_membered (tptp.k2_tarski A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_rat_1 A) (tptp.v1_rat_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tarski A B))) (=> (and (tptp.v4_ordinal2 A) (tptp.v4_ordinal2 B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_xcmplx_0 A) (tptp.v1_xcmplx_0 B) (tptp.v1_xcmplx_0 C)) (tptp.v1_membered (tptp.k1_enumset1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v1_xreal_0 A) (tptp.v1_xreal_0 B) (tptp.v1_xreal_0 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v1_rat_1 A) (tptp.v1_rat_1 B) (tptp.v1_rat_1 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v1_int_1 A) (tptp.v1_int_1 B) (tptp.v1_int_1 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_enumset1 A B C))) (=> (and (tptp.v4_ordinal2 A) (tptp.v4_ordinal2 B) (tptp.v4_ordinal2 C)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_membered A) (tptp.v1_membered B)) (tptp.v1_membered (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v2_membered A) (tptp.v2_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v3_membered A) (tptp.v3_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v4_membered A) (tptp.v4_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (and (tptp.v5_membered A) (tptp.v5_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k3_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k3_xboole_0 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 B A))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered A) (tptp.v1_membered (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v2_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v3_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v4_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (=> (tptp.v5_membered A) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_membered A) (tptp.v1_membered B)) (tptp.v1_membered (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v2_membered A) (tptp.v2_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v3_membered A) (tptp.v3_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v4_membered A) (tptp.v4_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (=> (and (tptp.v5_membered A) (tptp.v5_membered B)) (and (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) _let_81 _let_80 _let_79 _let_78 _let_77 (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (tptp.r1_tarski A tptp.k2_numbers))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.r1_tarski A tptp.k1_numbers))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.r1_tarski A tptp.k3_numbers))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.r1_tarski A tptp.k4_numbers))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.r1_tarski A tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_xcmplx_0 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_xreal_0 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_rat_1 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_membered A)) (exists ((B $$unsorted)) (and (tptp.v1_int_1 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v5_membered A)) (exists ((B $$unsorted)) (and (tptp.v4_ordinal2 B) (tptp.r2_hidden B A))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_xcmplx_0 B) (tptp.r2_hidden B A))) (= A tptp.k2_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (tptp.r2_hidden B A))) (= A tptp.k1_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_rat_1 B) (tptp.r2_hidden B A))) (= A tptp.k3_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (tptp.r2_hidden B A))) (= A tptp.k4_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (=> (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (tptp.r2_hidden B A))) (= A tptp.k5_numbers)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_membered B) (=> (tptp.r1_tarski A B) (tptp.v1_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v2_membered B) (=> (tptp.r1_tarski A B) (tptp.v2_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v3_membered B) (=> (tptp.r1_tarski A B) (tptp.v3_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_membered B) (=> (tptp.r1_tarski A B) (tptp.v4_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v5_membered B) (=> (tptp.r1_tarski A B) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_xcmplx_0 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v3_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_rat_1 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v5_membered B) (= (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_xcmplx_0 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v3_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_rat_1 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v5_membered B) (= (= A B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (= (tptp.r2_hidden C A) (tptp.r2_hidden C B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_xcmplx_0 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v2_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_xreal_0 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v3_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_rat_1 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v1_int_1 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v5_membered B) (= (tptp.r1_xboole_0 A B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_membered B))) (tptp.v1_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v2_membered B))) (tptp.v2_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v3_membered B))) (tptp.v3_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v4_membered B))) (tptp.v4_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v5_membered B))) (tptp.v5_membered (tptp.k3_tarski A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v1_membered B)) (tptp.v1_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v2_membered B)) (tptp.v2_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v3_membered B)) (tptp.v3_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v4_membered B)) (tptp.v4_membered (tptp.k1_setfam_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden B A) (tptp.v5_membered B)) (tptp.v5_membered (tptp.k1_setfam_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_xcmplx_0 B) (= (tptp.r2_hidden B A) (tptp.p1_s1_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_xreal_0 B) (= (tptp.r2_hidden B A) (tptp.p1_s2_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_rat_1 B) (= (tptp.r2_hidden B A) (tptp.p1_s3_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (= (tptp.r2_hidden B A) (tptp.p1_s4_membered B)))))) (exists ((A $$unsorted)) (and (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden B A) (tptp.p1_s5_membered B)))))) (exists ((A $$unsorted)) (tptp.v1_card_1 A)) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_card_1 A))) (=> (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1) (tptp.v1_card_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal2 A) (tptp.v1_xcmplx_0 A) (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_card_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v4_ordinal2 A) (tptp.v1_xcmplx_0 A) (tptp.v1_finset_1 A) (tptp.v1_xreal_0 A) (not (tptp.v3_xreal_0 A)) (tptp.v1_card_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_ordinal1 A) (tptp.v2_ordinal1 A) (tptp.v3_ordinal1 A) (tptp.v1_finset_1 A) (tptp.v1_card_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (=> (tptp.v1_finset_1 A) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_card_1 _let_1))))) _let_76 true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.v3_ordinal1 B) (tptp.r2_wellord2 A B)))) true true true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (= A B) (tptp.r2_wellord2 A B)))))) true true true true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (tptp.r2_hidden A B) (and (tptp.r1_tarski A B) (not (= A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (tptp.r2_hidden A B) (not (tptp.r1_tarski B A))))))) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (= (= B (tptp.k1_card_1 A)) (tptp.r2_wellord2 A B)))) true true true true true true _let_75 (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (=> (tptp.v2_wellord1 A) (tptp.r2_wellord2 (tptp.k3_relat_1 A) (tptp.k2_wellord2 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_card_1 A) B)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r1_ordinal1 (tptp.k1_card_1 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_card_1 A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v2_funct_1 C) (= (tptp.k1_relat_1 C) A) (tptp.r1_tarski (tptp.k2_relat_1 C) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k1_card_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k1_relat_1 C) B) (tptp.r1_tarski A (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted)) (not (tptp.r2_wellord2 A (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted)) (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (= (= B (tptp.k2_card_1 A)) (and (tptp.r2_hidden (tptp.k1_card_1 A) B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (=> (tptp.r2_hidden (tptp.k1_card_1 A) C) (tptp.r1_tarski B C)))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (tptp.r2_hidden A (tptp.k2_card_1 A)))) (forall ((A $$unsorted)) (tptp.r2_hidden (tptp.k1_card_1 tptp.k1_xboole_0) (tptp.k2_card_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (= (tptp.k2_card_1 A) (tptp.k2_card_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_wellord2 A B) (= (tptp.k2_card_1 A) (tptp.k2_card_1 B)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.r2_hidden A (tptp.k2_card_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (= (tptp.v2_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (not (= A (tptp.k2_card_1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.k3_card_1 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) (tptp.k1_card_1 tptp.k5_numbers)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.k2_card_1 (tptp.k3_tarski (tptp.k1_tarski (tptp.k1_funct_1 C D))))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.k1_card_1 (tptp.k8_ordinal2 (tptp.k2_ordinal1 C D)))))))))))))) true (= _let_28 _let_30) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k3_card_1 (tptp.k1_ordinal1 A)) (tptp.k2_card_1 (tptp.k3_card_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.v4_ordinal1 A) (or (= A tptp.k1_xboole_0) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (and (= (tptp.k1_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 B C) (tptp.k3_card_1 C)))))) (= (tptp.k3_card_1 A) (tptp.k1_card_1 (tptp.k8_ordinal2 B)))))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k3_card_1 A) (tptp.k3_card_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (= (tptp.k3_card_1 A) (tptp.k3_card_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_ordinal1 A B) (tptp.r1_tarski (tptp.k3_card_1 A) (tptp.k3_card_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.r1_tarski B C) (tptp.r2_wellord2 A C)) (and (tptp.r2_wellord2 A B) (tptp.r2_wellord2 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski (tptp.k1_zfmisc_1 A) B) (and (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (not (tptp.r2_wellord2 A B))))) (forall ((A $$unsorted)) (= (tptp.r2_wellord2 A tptp.k1_xboole_0) (= A tptp.k1_xboole_0))) (= (tptp.k1_card_1 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.r2_wellord2 A (tptp.k1_tarski B)) (exists ((C $$unsorted)) (= A (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k1_card_1 A) (tptp.k1_card_1 (tptp.k1_tarski B))) (exists ((C $$unsorted)) (= A (tptp.k1_tarski C))))) (forall ((A $$unsorted)) (= (tptp.k1_card_1 (tptp.k1_tarski A)) tptp.k4_ordinal2)) (= tptp.np__0 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_ordinal1 A) (tptp.k1_nat_1 A tptp.np__1)))) true true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.r1_xreal_0 A B) (tptp.r1_ordinal1 A B)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r1_xboole_0 A B) (tptp.r1_xboole_0 C D) (tptp.r2_wellord2 A C) (tptp.r2_wellord2 B D)) (tptp.r2_wellord2 (tptp.k2_xboole_0 A B) (tptp.k2_xboole_0 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C B)) (tptp.r2_wellord2 (tptp.k4_xboole_0 B (tptp.k1_tarski A)) (tptp.k4_xboole_0 B (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (and (tptp.r1_tarski A (tptp.k1_relat_1 B)) (tptp.v2_funct_1 B)) (tptp.r2_wellord2 A (tptp.k9_relat_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.r2_wellord2 A B) (tptp.r2_hidden C A) (tptp.r2_hidden D B)) (tptp.r2_wellord2 (tptp.k4_xboole_0 A (tptp.k1_tarski C)) (tptp.k4_xboole_0 B (tptp.k1_tarski D))))) true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_wellord2 A B) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.k5_ordinal2) (tptp.v1_card_1 A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k1_card_1 A)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_wellord2 A B) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 B))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k1_card_1 A))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.r1_tarski (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (tptp.r1_xreal_0 A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (not (tptp.r1_xreal_0 B A))))))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (tptp.r2_wellord2 A B))))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_card_1 (tptp.k1_card_1 A)) (tptp.k1_card_1 (tptp.k1_nat_1 A tptp.np__1))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (= B (tptp.k4_card_1 A)) (= (tptp.k1_card_1 B) (tptp.k1_card_1 A))))))) true (= (tptp.k4_card_1 tptp.k1_xboole_0) tptp.np__0) (forall ((A $$unsorted)) (= (tptp.k4_card_1 (tptp.k1_tarski A)) tptp.np__1)) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (tptp.r1_tarski A B) (tptp.r1_xreal_0 (tptp.k4_card_1 A) (tptp.k4_card_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (=> (tptp.r2_wellord2 A B) (= (tptp.k4_card_1 A) (tptp.k4_card_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k2_card_1 A)))) (= _let_28 tptp.k5_ordinal2) (= _let_59 tptp.k5_ordinal2) (tptp.v2_card_1 _let_59) (forall ((A $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_card_1 A)) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k1_card_1 B)))))) (=> (and (tptp.p1_s1_card_1 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (=> (tptp.p1_s1_card_1 A) (tptp.p1_s1_card_1 (tptp.k2_card_1 A))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (=> (and (tptp.v2_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r2_hidden B A) (tptp.p1_s1_card_1 B))))) (or (= A tptp.k1_xboole_0) (tptp.p1_s1_card_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (tptp.p1_s1_card_1 A)))) (=> (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (=> (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r2_hidden B A) (tptp.p1_s2_card_1 B)))) (tptp.p1_s2_card_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (tptp.p1_s2_card_1 A)))) (forall ((A $$unsorted)) (tptp.v1_card_1 (tptp.k1_card_1 A))) (forall ((A $$unsorted)) (tptp.v1_card_1 (tptp.k2_card_1 A))) true (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.m2_subset_1 (tptp.k4_card_1 A) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (= (tptp.k4_card_1 A) (tptp.k1_card_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.v1_finset_1 (tptp.k1_finseq_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 _let_1 (tptp.v1_finseq_1 A)) (and _let_2 _let_1 (tptp.v1_finset_1 A)))))) (and _let_74 _let_71 _let_73 _let_70 _let_72 (tptp.v1_finset_1 tptp.k1_xboole_0) _let_69) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_relset_1 B tptp.k5_numbers A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B) (tptp.v1_finseq_1 B)))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_finset_1 A) (tptp.v1_finseq_1 A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.m1_finseq_1 B A) (tptp.v1_xboole_0 B) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v2_funct_1 B) (tptp.v1_finset_1 B) (tptp.v1_finseq_1 B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_finseq_1 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k10_finseq_1 A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (forall ((A $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k13_finseq_1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_finseq_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.v1_xboole_0 A) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_funct_1 A) (tptp.v1_finset_1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 (tptp.k2_relat_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_finseq_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1)))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A) (tptp.v1_finseq_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 B A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k16_finseq_1 A B tptp.np__0))) (=> (tptp.m1_finseq_1 B A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_funct_1 _let_1) (tptp.v1_finset_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_finseq_1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_fraenkel _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 (tptp.k1_relat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A)) (tptp.v1_finset_1 (tptp.k10_relat_1 A B)))) true true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden A (tptp.k2_finseq_1 B)) (and (tptp.r1_xreal_0 tptp.np__1 A) (tptp.r1_xreal_0 A B))))))) (and (= (tptp.k2_finseq_1 tptp.np__0) tptp.k1_xboole_0) (= (tptp.k2_finseq_1 tptp.np__1) (tptp.k1_tarski tptp.np__1)) (= (tptp.k2_finseq_1 tptp.np__2) (tptp.k2_tarski tptp.np__1 tptp.np__2))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (or (= A tptp.np__0) (tptp.r2_hidden A (tptp.k2_finseq_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (tptp.r2_hidden _let_1 (tptp.k2_finseq_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r1_xreal_0 A B) (tptp.r1_tarski (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (=> (= (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 B) (=> (tptp.r1_xreal_0 A B) (= _let_1 (tptp.k5_subset_1 tptp.k5_numbers (tptp.k2_finseq_1 B) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (tptp.v4_ordinal2 B) (=> (= _let_1 (tptp.k5_subset_1 tptp.k5_numbers _let_1 (tptp.k2_finseq_1 B))) (tptp.r1_xreal_0 A B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (= (tptp.k2_xboole_0 (tptp.k2_finseq_1 A) (tptp.k1_tarski _let_1)) (tptp.k2_finseq_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_xcmplx_0 A tptp.np__1))) (=> (tptp.v4_ordinal2 A) (= (tptp.k2_finseq_1 A) (tptp.k4_xboole_0 (tptp.k2_finseq_1 _let_1) (tptp.k1_tarski _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (= (tptp.v1_finseq_1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (= B (tptp.k3_finseq_1 A)) (= (tptp.k2_finseq_1 B) (tptp.k1_relat_1 A))))))) true (and _let_71 _let_70 _let_69) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (not (and (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B)))) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (tptp.r1_tarski A B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (not (and (tptp.r2_hidden A B) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden C (tptp.k4_finseq_1 B)) (= A (tptp.k4_tarski C (tptp.k1_funct_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden C (tptp.k4_finseq_1 A)) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))) (= A B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 A))) (= (tptp.k1_funct_1 A C) (tptp.k1_funct_1 B C)))))) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 B (tptp.k2_finseq_1 A)))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_relat_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_tarski (tptp.k2_relat_1 B) (tptp.k1_relat_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (and (tptp.r1_xreal_0 A (tptp.k3_finseq_1 B)) (= C (tptp.k7_relat_1 B _let_1))) (and (= (tptp.k3_finseq_1 C) A) (= (tptp.k4_finseq_1 C) _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.m1_finseq_1 B A) (tptp.r1_tarski (tptp.k2_relat_1 B) A)))) true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m2_finseq_1 C B) (tptp.m2_finseq_1 (tptp.k7_relat_1 C (tptp.k2_finseq_1 A)) B))))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (exists ((C $$unsorted)) (and (tptp.m2_finseq_1 C B) (= (tptp.k3_finseq_1 C) A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= (tptp.k3_finseq_1 A) tptp.np__0) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= A tptp.k1_xboole_0) (= (tptp.k4_finseq_1 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (= A tptp.k1_xboole_0) (= (tptp.k2_relat_1 A) tptp.k1_xboole_0)))) true (forall ((A $$unsorted)) (tptp.m2_finseq_1 tptp.k1_xboole_0 A)) _let_68 _let_67 true true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (= (= A (tptp.k6_finseq_1 B)) (= (tptp.k3_finseq_1 A) tptp.np__0))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (= C (tptp.k7_finseq_1 A B)) (and (= (tptp.k4_finseq_1 C) (tptp.k2_finseq_1 (tptp.k1_nat_1 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 A)) (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 A D))))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= (tptp.k1_funct_1 C (tptp.k1_nat_1 (tptp.k3_finseq_1 A) D)) (tptp.k1_funct_1 B D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= A (tptp.k7_relat_1 (tptp.k7_finseq_1 A B) (tptp.k4_finseq_1 A))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k3_finseq_1 (tptp.k7_finseq_1 A B)) (tptp.k1_nat_1 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 A))) (=> (tptp.v4_ordinal2 C) (=> (and (tptp.r1_xreal_0 (tptp.k1_nat_1 _let_1 tptp.np__1) C) (tptp.r1_xreal_0 C (tptp.k1_nat_1 _let_1 (tptp.k3_finseq_1 B)))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) C) (tptp.k1_funct_1 B (tptp.k6_xcmplx_0 C _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 A))) (let ((_let_2 (tptp.k7_finseq_1 A B))) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 C (tptp.k3_finseq_1 _let_2)) (or (tptp.r1_xreal_0 C _let_1) (= (tptp.k1_funct_1 _let_2 C) (tptp.k1_funct_1 B (tptp.k6_xcmplx_0 C _let_1))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden C (tptp.k4_finseq_1 (tptp.k7_finseq_1 A B))) (not (tptp.r2_hidden C (tptp.k4_finseq_1 A))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= C (tptp.k1_nat_1 (tptp.k3_finseq_1 A) D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 (tptp.k7_finseq_1 A B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (not (and (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (not (and (= D A) (tptp.r2_hidden (tptp.k1_nat_1 (tptp.k3_finseq_1 C) D) (tptp.k4_finseq_1 (tptp.k7_finseq_1 C B))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (tptp.r2_hidden A (tptp.k4_finseq_1 B)) (tptp.r2_hidden (tptp.k1_nat_1 (tptp.k3_finseq_1 C) A) (tptp.k4_finseq_1 (tptp.k7_finseq_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 (tptp.k7_finseq_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_tarski (tptp.k2_relat_1 A) (tptp.k2_relat_1 (tptp.k7_finseq_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k2_relat_1 (tptp.k7_finseq_1 A B)) (tptp.k2_xboole_0 (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (tptp.k7_finseq_1 (tptp.k7_finseq_1 A B) C) (tptp.k7_finseq_1 A (tptp.k7_finseq_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (or (= (tptp.k7_finseq_1 A B) (tptp.k7_finseq_1 C B)) (= (tptp.k7_finseq_1 B A) (tptp.k7_finseq_1 B C))) (= A C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (and (= (tptp.k7_finseq_1 A tptp.k1_xboole_0) A) (= (tptp.k7_finseq_1 tptp.k1_xboole_0 A) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (= (tptp.k7_finseq_1 A B) tptp.k1_xboole_0) (and (= A tptp.k1_xboole_0) (= B tptp.k1_xboole_0))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k1_relat_1 B) (tptp.k2_finseq_1 tptp.np__1)) (= (tptp.k1_funct_1 B tptp.np__1) A))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 (tptp.k7_finseq_1 A B) C) (and (tptp.m2_finseq_1 A C) (tptp.m2_finseq_1 B C)))))))) _let_66 _let_65 true _let_64 true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k4_finseq_1 B) (tptp.k2_finseq_1 tptp.np__1)) (= (tptp.k2_relat_1 B) (tptp.k1_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k2_relat_1 B) (tptp.k1_tarski A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (= B (tptp.k9_finseq_1 A)) (and (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k1_funct_1 B tptp.np__1) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) B) tptp.np__1) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 B (tptp.k9_finseq_1 A)) (tptp.k1_nat_1 (tptp.k3_finseq_1 B) tptp.np__1)) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k11_finseq_1 A B C))) (and (= _let_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 A) (tptp.k10_finseq_1 B C))) (= _let_1 (tptp.k7_finseq_1 (tptp.k10_finseq_1 A B) (tptp.k9_finseq_1 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (= C (tptp.k10_finseq_1 A B)) (and (= (tptp.k3_finseq_1 C) tptp.np__2) (= (tptp.k1_funct_1 C tptp.np__1) A) (= (tptp.k1_funct_1 C tptp.np__2) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (= (= D (tptp.k11_finseq_1 A B C)) (and (= (tptp.k3_finseq_1 D) tptp.np__3) (= (tptp.k1_funct_1 D tptp.np__1) A) (= (tptp.k1_funct_1 D tptp.np__2) B) (= (tptp.k1_funct_1 D tptp.np__3) C))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (not (= A (tptp.k7_finseq_1 B (tptp.k9_finseq_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D)) (not (and (= (tptp.k7_finseq_1 A B) (tptp.k7_finseq_1 C D)) (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 C)) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E)) (not (= (tptp.k7_finseq_1 A E) C)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k13_finseq_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (tptp.m2_finseq_1 C A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (and (= (tptp.k2_relat_1 A) (tptp.k2_relat_1 B)) (tptp.v2_funct_1 A) (tptp.v2_funct_1 B)) (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (tptp.r2_hidden tptp.k1_xboole_0 (tptp.k13_finseq_1 A))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.v2_finseq_1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski (tptp.k1_relat_1 A) (tptp.k2_finseq_1 B))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_funct_1 A))) (let ((_let_2 (tptp.v1_relat_1 A))) (=> (and _let_2 _let_1 (tptp.v1_finseq_1 A)) (and _let_2 _let_1 (tptp.v2_finseq_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_relat_1 A B))) (let ((_let_2 (tptp.k7_relat_1 B A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2) (tptp.v2_finseq_1 _let_2) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v2_finseq_1 _let_1)))))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted)) (and (tptp.v4_ordinal2 B) (tptp.r1_tarski A (tptp.k2_finseq_1 B)))) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k5_numbers) (= (= B (tptp.k14_finseq_1 A)) (and (= (tptp.k2_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (forall ((D $$unsorted)) (=> (tptp.v4_ordinal2 D) (forall ((E $$unsorted)) (=> (tptp.v4_ordinal2 E) (forall ((F $$unsorted)) (=> (tptp.v4_ordinal2 F) (not (and (tptp.r1_xreal_0 tptp.np__1 C) (not (tptp.r1_xreal_0 D C)) (tptp.r1_xreal_0 D (tptp.k3_finseq_1 B)) (= E (tptp.k1_funct_1 B C)) (= F (tptp.k1_funct_1 B D)) (tptp.r1_xreal_0 F E))))))))))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (= (tptp.k2_relat_1 (tptp.k14_finseq_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (= (tptp.k15_finseq_1 A) (tptp.k5_relat_1 (tptp.k14_finseq_1 (tptp.k1_relat_1 A)) A)))) (forall ((A $$unsorted)) (=> (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.r1_tarski A (tptp.k2_finseq_1 B)))) (= (= (tptp.k14_finseq_1 A) tptp.k1_xboole_0) (= A tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (= A (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_wellord2 (tptp.k2_finseq_1 A) (tptp.k2_finseq_1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (tptp.r2_wellord2 (tptp.k2_finseq_1 A) A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_card_1 (tptp.k2_finseq_1 A)) (tptp.k1_card_1 A)))) (forall ((A $$unsorted)) (not (and (tptp.v1_finset_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (tptp.r2_wellord2 A (tptp.k2_finseq_1 B)))))))) (and (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k4_card_1 (tptp.k2_finseq_1 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (= (tptp.k4_card_1 A) A) (= (tptp.k4_card_1 (tptp.k1_card_1 A)) A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (= (tptp.k16_finseq_1 A B C) (tptp.k7_relat_1 B (tptp.k2_finseq_1 C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 (tptp.k3_finseq_1 B) C) (= (tptp.k16_finseq_1 A B C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r1_xreal_0 C (tptp.k3_finseq_1 B)) (= (tptp.k3_finseq_1 (tptp.k16_finseq_1 A B C)) C)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 A)) (tptp.r2_hidden (tptp.k2_xcmplx_0 B C) (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v4_ordinal2 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_finseq_1 (tptp.k2_xcmplx_0 A C)))) (=> (tptp.v4_ordinal2 C) (=> (tptp.r2_hidden (tptp.k2_xcmplx_0 B C) _let_1) (or (tptp.r1_xreal_0 B tptp.np__0) (and (tptp.r2_hidden B (tptp.k2_finseq_1 A)) (tptp.r2_hidden B _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (= B (tptp.k17_finseq_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k3_relat_1 A))) (= (tptp.r2_hidden (tptp.k4_tarski C D) B) (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D _let_1) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 E))) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (tptp.v1_finseq_1 E) (tptp.r1_xreal_0 tptp.np__1 _let_1) (= (tptp.k1_funct_1 E tptp.np__1) C) (= (tptp.k1_funct_1 E _let_1) D) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 tptp.np__1 F) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 E) F) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 E F) (tptp.k1_funct_1 E (tptp.k1_nat_1 F tptp.np__1))) A))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k13_finseq_1 A) (tptp.k13_finseq_1 B)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_tarski A B) (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 A))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) C) (tptp.k1_funct_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 B))) (= (tptp.k1_funct_1 (tptp.k7_finseq_1 A B) (tptp.k1_nat_1 (tptp.k3_finseq_1 A) C)) (tptp.k1_funct_1 B C))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (tptp.p1_s1_finseq_1 A B) (tptp.p1_s1_finseq_1 A C)) (= B C))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (forall ((B $$unsorted)) (not (tptp.p1_s1_finseq_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (= (tptp.k4_finseq_1 A) (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f1_s1_finseq_1)) (tptp.p1_s1_finseq_1 B (tptp.k1_funct_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (= (tptp.k3_finseq_1 A) tptp.f1_s2_finseq_1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f1_s2_finseq_1)) (= (tptp.k1_funct_1 A B) (tptp.f2_s2_finseq_1 B))))))) (=> (and (tptp.p1_s3_finseq_1 tptp.k1_xboole_0) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (tptp.p1_s3_finseq_1 A) (tptp.p1_s3_finseq_1 (tptp.k7_finseq_1 A (tptp.k9_finseq_1 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (tptp.p1_s3_finseq_1 A)))) (exists ((A $$unsorted)) (forall ((B $$unsorted)) (= (tptp.r2_hidden B A) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.r2_hidden C (tptp.k13_finseq_1 tptp.f1_s4_finseq_1)) (tptp.p1_s4_finseq_1 C) (= B C)))))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r2_hidden A (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s5_finseq_1) (not (tptp.p1_s5_finseq_1 A B)))))))) (exists ((A $$unsorted)) (and (tptp.m2_finseq_1 A tptp.f1_s5_finseq_1) (= (tptp.k4_finseq_1 A) (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B (tptp.k2_finseq_1 tptp.f2_s5_finseq_1)) (tptp.p1_s5_finseq_1 B (tptp.k1_funct_1 A B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_finseq_1 B A) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_finseq_1 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (and (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.m2_relset_1 B tptp.k5_numbers A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m2_finseq_1 B A))) _let_63 true (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (tptp.m1_subset_1 (tptp.k2_finseq_1 A) (tptp.k1_zfmisc_1 tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k2_finseq_1 A) (tptp.k1_finseq_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (tptp.m2_subset_1 (tptp.k3_finseq_1 A) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.k3_finseq_1 A) (tptp.k1_card_1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (tptp.m1_subset_1 (tptp.k4_finseq_1 A) (tptp.k1_zfmisc_1 tptp.k5_numbers)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (= (tptp.k4_finseq_1 A) (tptp.k1_relat_1 A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_finseq_1 A))) (and (tptp.v1_xboole_0 _let_1) (tptp.m2_finseq_1 _let_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_finseq_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finseq_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_finseq_1 C A)) (tptp.m2_finseq_1 (tptp.k8_finseq_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_finseq_1 C A)) (= (tptp.k8_finseq_1 A B C) (tptp.k7_finseq_1 B C)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_finseq_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (forall ((A $$unsorted)) (= (tptp.k9_finseq_1 A) (tptp.k5_finseq_1 A))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (tptp.m2_finseq_1 (tptp.k12_finseq_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A)) (= (tptp.k12_finseq_1 A B) (tptp.k5_finseq_1 B)))) true (forall ((A $$unsorted)) (tptp.m2_finseq_1 (tptp.k14_finseq_1 A) tptp.k5_numbers)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_finseq_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v2_finseq_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.v4_ordinal2 C)) (tptp.m2_finseq_1 (tptp.k16_finseq_1 A B C) A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k17_finseq_1 A)))) (forall ((A $$unsorted)) (=> (tptp.v4_ordinal2 A) (= (tptp.k1_finseq_1 A) (tptp.a_1_0_finseq_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v4_ordinal2 B) (= (tptp.r2_hidden A (tptp.a_1_0_finseq_1 B)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A C) (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_relat_2 _let_1) (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.v1_setfam_1 B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (not (tptp.v1_xboole_0 (tptp.k7_eqrel_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_eqrel_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) _let_62 true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.r1_relat_2 _let_1 A) (tptp.r3_relat_2 _let_1 A) (tptp.r8_relat_2 _let_1 A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A)))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k4_tarski B B) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (tptp.r2_hidden (tptp.k4_tarski B C) D) (tptp.r2_hidden (tptp.k4_tarski C B) D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (and (tptp.r2_hidden (tptp.k4_tarski B C) E) (tptp.r2_hidden (tptp.k4_tarski C D) E)) (tptp.r2_hidden (tptp.k4_tarski B D) E)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (not (and (exists ((C $$unsorted)) (tptp.r2_hidden C A)) (= B tptp.k1_xboole_0))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v8_relat_2 B))) (let ((_let_2 (tptp.v3_relat_2 B))) (let ((_let_3 (tptp.m2_relset_1 B A A))) (=> _let_3 (= (and _let_2 _let_1 (tptp.v1_partfun1 B A A) _let_3) (and (tptp.v1_relat_2 B) _let_2 _let_1 (= (tptp.k3_relat_1 B) A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_partfun1 A))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k4_eqrel_1 A _let_1 B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (= (tptp.k2_eqrel_1 A (tptp.k1_eqrel_1 A) B) B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (let ((_let_2 (tptp.k6_setfam_1 _let_1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (forall ((C $$unsorted)) (=> (tptp.r2_hidden C B) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)))) (or (= B tptp.k1_xboole_0) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 A A) (tptp.m2_relset_1 _let_2 A A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_relset_1 B A A) (exists ((C $$unsorted)) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A) (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (tptp.r1_tarski B D) (tptp.r1_tarski C D)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (= (= D (tptp.k5_eqrel_1 A B C)) (and (tptp.r1_tarski (tptp.k3_eqrel_1 A B C) D) (forall ((E $$unsorted)) (=> (and (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (tptp.r1_tarski (tptp.k3_eqrel_1 A B C) E) (tptp.r1_tarski D E)))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (= (tptp.k5_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B C) (tptp.k5_eqrel_1 A C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B (tptp.k5_eqrel_1 A B C)) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B (tptp.k4_eqrel_1 A B C)) B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (= (tptp.k6_eqrel_1 A B C) (tptp.k10_relset_1 A A B (tptp.k1_tarski C)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_2 D) (tptp.v3_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (= (tptp.r2_hidden B (tptp.k6_eqrel_1 A D C)) (tptp.r2_hidden (tptp.k4_tarski B C) D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C A) (tptp.r2_hidden C (tptp.k6_eqrel_1 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (not (tptp.r2_hidden C (tptp.k6_eqrel_1 A B D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A E C))) (=> (and (tptp.v1_relat_2 E) (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E A A) (tptp.m2_relset_1 E A A)) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden D _let_1)) (tptp.r2_hidden (tptp.k4_tarski B D) E))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A C D))) (=> (tptp.r2_hidden D A) (= (tptp.r2_hidden B _let_1) (= _let_1 (tptp.k6_eqrel_1 A C B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A B D))) (let ((_let_2 (tptp.k6_eqrel_1 A B C))) (not (and (tptp.r2_hidden C A) (tptp.r2_hidden D A) (not (= _let_2 _let_1)) (not (tptp.r1_xboole_0 _let_2 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k6_eqrel_1 A (tptp.k6_partfun1 A) B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r2_hidden B A) (= (tptp.k6_eqrel_1 A (tptp.k1_eqrel_1 A) B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (exists ((C $$unsorted)) (= (tptp.k6_eqrel_1 A B C) A)) (= B (tptp.k1_eqrel_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D B B) (tptp.m2_relset_1 D B B)) (forall ((E $$unsorted)) (=> (and (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E B B) (tptp.m2_relset_1 E B B)) (=> (tptp.r2_hidden A B) (= (tptp.r2_hidden (tptp.k4_tarski A C) (tptp.k5_eqrel_1 B D E)) (exists ((F $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 F))) (and (tptp.v1_relat_1 F) (tptp.v1_funct_1 F) (tptp.v1_finseq_1 F) (tptp.r1_xreal_0 tptp.np__1 _let_1) (= A (tptp.k1_funct_1 F tptp.np__1)) (= C (tptp.k1_funct_1 F _let_1)) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 tptp.np__1 G) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 F) G) (tptp.r2_hidden (tptp.k4_tarski (tptp.k1_funct_1 F G) (tptp.k1_funct_1 F (tptp.k1_nat_1 G tptp.np__1))) (tptp.k3_eqrel_1 B D E))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D A A) (tptp.m2_relset_1 D A A)) (=> (= D (tptp.k3_eqrel_1 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_eqrel_1 A D E))) (not (and (tptp.r2_hidden E A) (not (= _let_1 (tptp.k6_eqrel_1 A B E))) (not (= _let_1 (tptp.k6_eqrel_1 A C E)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_eqrel_1 A))) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (not (and (= (tptp.k3_eqrel_1 A B C) _let_1) (not (= B _let_1)) (not (= C _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (= C (tptp.k7_eqrel_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (= (tptp.r2_hidden D C) (exists ((E $$unsorted)) (and (tptp.r2_hidden E A) (= D (tptp.k6_eqrel_1 A B E)))))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (=> (= A tptp.k1_xboole_0) (= (tptp.k7_eqrel_1 A B) tptp.k1_xboole_0)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.m1_eqrel_1 B A))) (let ((_let_2 (= A tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (=> (not _let_2) (= _let_1 (and (= (tptp.k5_setfam_1 A B) A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (tptp.r2_hidden C B) (and (not (= C tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (not (and (tptp.r2_hidden D B) (not (= C D)) (not (tptp.r1_xboole_0 C D))))))))))))) (=> _let_2 (= _let_1 (= B tptp.k1_xboole_0)))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (tptp.m1_eqrel_1 (tptp.k7_eqrel_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (exists ((C $$unsorted)) (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A) (= B (tptp.k7_eqrel_1 A C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m2_relset_1 C A A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (= (tptp.r2_hidden (tptp.k4_tarski D B) C) (= (tptp.k6_eqrel_1 A C D) (tptp.k6_eqrel_1 A C B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C B B) (tptp.m2_relset_1 C B B)) (not (and (tptp.r2_hidden A (tptp.k7_eqrel_1 B C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (not (= A (tptp.k6_eqrel_1 B C D))))))))) (=> (and (forall ((A $$unsorted)) (=> (tptp.r2_hidden A tptp.f1_s1_eqrel_1) (tptp.p1_s1_eqrel_1 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.p1_s1_eqrel_1 A B) (tptp.p1_s1_eqrel_1 B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.p1_s1_eqrel_1 A B) (tptp.p1_s1_eqrel_1 B C)) (tptp.p1_s1_eqrel_1 A C)))) (exists ((A $$unsorted)) (and (tptp.v3_relat_2 A) (tptp.v8_relat_2 A) (tptp.v1_partfun1 A tptp.f1_s1_eqrel_1 tptp.f1_s1_eqrel_1) (tptp.m2_relset_1 A tptp.f1_s1_eqrel_1 tptp.f1_s1_eqrel_1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) A) (and (tptp.r2_hidden B tptp.f1_s1_eqrel_1) (tptp.r2_hidden C tptp.f1_s1_eqrel_1) (tptp.p1_s1_eqrel_1 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.m1_eqrel_1 B A))) (forall ((A $$unsorted)) (tptp.m2_relset_1 (tptp.k1_eqrel_1 A) A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (tptp.m2_relset_1 (tptp.k2_eqrel_1 A B C) A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B C) (tptp.k2_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k2_eqrel_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (tptp.m2_relset_1 (tptp.k3_eqrel_1 A B C) A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B C) (tptp.k3_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_relset_1 B A A) (tptp.m1_relset_1 C A A)) (= (tptp.k3_eqrel_1 A B C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_eqrel_1 A B C))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B C) (tptp.k4_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k4_eqrel_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_eqrel_1 A B C))) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v3_relat_2 _let_1) (tptp.v8_relat_2 _let_1) (tptp.v1_partfun1 _let_1 A A) (tptp.m2_relset_1 _let_1 A A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B C) (tptp.k5_eqrel_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v3_relat_2 C) (tptp.v8_relat_2 C) (tptp.v1_partfun1 C A A) (tptp.m1_relset_1 C A A)) (= (tptp.k5_eqrel_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_2 B) (tptp.v3_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_subset_1 (tptp.k6_eqrel_1 A B C) (tptp.k1_zfmisc_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_subset_1 (tptp.k7_eqrel_1 A B) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (tptp.m1_eqrel_1 (tptp.k8_eqrel_1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (= (tptp.k8_eqrel_1 A B) (tptp.k7_eqrel_1 A B)))) (= (tptp.k2_funct_4 tptp.k1_xboole_0) tptp.k1_xboole_0) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k1_funct_5 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (tptp.r2_hidden (tptp.k4_tarski C D) A)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.k2_funct_5 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (tptp.r2_hidden (tptp.k4_tarski D C) A)))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) C) (and (tptp.r2_hidden A (tptp.k1_funct_5 C)) (tptp.r2_hidden B (tptp.k2_funct_5 C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.r1_tarski A B) (and (tptp.r1_tarski (tptp.k1_funct_5 A) (tptp.k1_funct_5 B)) (tptp.r1_tarski (tptp.k2_funct_5 A) (tptp.k2_funct_5 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (and (= (tptp.k1_funct_5 _let_1) (tptp.k2_xboole_0 (tptp.k1_funct_5 A) (tptp.k1_funct_5 B))) (= (tptp.k2_funct_5 _let_1) (tptp.k2_xboole_0 (tptp.k2_funct_5 A) (tptp.k2_funct_5 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (and (tptp.r1_tarski (tptp.k1_funct_5 _let_1) (tptp.k3_xboole_0 (tptp.k1_funct_5 A) (tptp.k1_funct_5 B))) (tptp.r1_tarski (tptp.k2_funct_5 _let_1) (tptp.k3_xboole_0 (tptp.k2_funct_5 A) (tptp.k2_funct_5 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A B))) (and (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k1_funct_5 A) (tptp.k1_funct_5 B)) (tptp.k1_funct_5 _let_1)) (tptp.r1_tarski (tptp.k4_xboole_0 (tptp.k2_funct_5 A) (tptp.k2_funct_5 B)) (tptp.k2_funct_5 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_xboole_0 A B))) (and (tptp.r1_tarski (tptp.k5_xboole_0 (tptp.k1_funct_5 A) (tptp.k1_funct_5 B)) (tptp.k1_funct_5 _let_1)) (tptp.r1_tarski (tptp.k5_xboole_0 (tptp.k2_funct_5 A) (tptp.k2_funct_5 B)) (tptp.k2_funct_5 _let_1))))) (and (= (tptp.k1_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k2_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 B A))) (=> (not (and (= A tptp.k1_xboole_0) (= _let_2 tptp.k1_xboole_0) (= _let_1 tptp.k1_xboole_0))) (and (= (tptp.k1_funct_5 _let_2) B) (= (tptp.k2_funct_5 _let_1) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (and (tptp.r1_tarski (tptp.k1_funct_5 _let_1) A) (tptp.r1_tarski (tptp.k2_funct_5 _let_1) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A (tptp.k2_zfmisc_1 B C)) (and (tptp.r1_tarski (tptp.k1_funct_5 A) B) (tptp.r1_tarski (tptp.k2_funct_5 A) C)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski (tptp.k4_tarski A B)))) (and (= (tptp.k1_funct_5 _let_1) (tptp.k1_tarski A)) (= (tptp.k2_funct_5 _let_1) (tptp.k1_tarski B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_tarski (tptp.k4_tarski A B) (tptp.k4_tarski C D)))) (and (= (tptp.k1_funct_5 _let_1) (tptp.k2_tarski A C)) (= (tptp.k2_funct_5 _let_1) (tptp.k2_tarski B D))))) (forall ((A $$unsorted)) (=> (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski B C) A))) (and (= (tptp.k1_funct_5 A) tptp.k1_xboole_0) (= (tptp.k2_funct_5 A) tptp.k1_xboole_0)))) (forall ((A $$unsorted)) (=> (or (= (tptp.k1_funct_5 A) tptp.k1_xboole_0) (= (tptp.k2_funct_5 A) tptp.k1_xboole_0)) (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski B C) A))))) (forall ((A $$unsorted)) (= (= (tptp.k1_funct_5 A) tptp.k1_xboole_0) (= (tptp.k2_funct_5 A) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 (tptp.k2_funct_4 A)))) (let ((_let_2 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (= (tptp.k1_funct_5 _let_2) (tptp.k2_funct_5 _let_1)) (= (tptp.k2_funct_5 _let_2) (tptp.k1_funct_5 _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (and (= (tptp.k1_funct_5 A) (tptp.k1_relat_1 A)) (= (tptp.k2_funct_5 A) (tptp.k2_relat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k3_funct_5 A)) (and (= (tptp.k1_relat_1 B) (tptp.k1_funct_5 (tptp.k1_relat_1 A))) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C (tptp.k1_funct_5 (tptp.k1_relat_1 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (not (and (= (tptp.k1_funct_1 B C) D) (= (tptp.k1_relat_1 D) (tptp.k2_funct_5 (tptp.k3_xboole_0 _let_1 (tptp.k2_zfmisc_1 (tptp.k1_tarski C) (tptp.k2_funct_5 _let_1))))) (forall ((E $$unsorted)) (=> (tptp.r2_hidden E (tptp.k1_relat_1 D)) (= (tptp.k1_funct_1 D E) (tptp.k1_funct_1 A (tptp.k4_tarski C E))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (= B (tptp.k4_funct_5 A)) (and (forall ((C $$unsorted)) (= (tptp.r2_hidden C (tptp.k1_relat_1 B)) (exists ((D $$unsorted) (E $$unsorted)) (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E) (exists ((F $$unsorted)) (and (= C (tptp.k4_tarski D F)) (tptp.r2_hidden D (tptp.k1_relat_1 A)) (= E (tptp.k1_funct_1 A D)) (tptp.r2_hidden F (tptp.k1_relat_1 E)))))))) (forall ((C $$unsorted) (D $$unsorted)) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden C (tptp.k1_relat_1 B)) (= D (tptp.k1_funct_1 A (tptp.k1_mcart_1 C)))) (= (tptp.k1_funct_1 B C) (tptp.k1_funct_1 D (tptp.k2_mcart_1 C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k5_funct_5 A) (tptp.k3_funct_5 (tptp.k2_funct_4 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k6_funct_5 A) (tptp.k2_funct_4 (tptp.k4_funct_5 A))))) true true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_funct_5 C))) (let ((_let_2 (tptp.k1_funct_1 _let_1 A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k1_relat_1 C)) (and (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden _let_1 (tptp.k1_relat_1 C)) (= D (tptp.k1_funct_1 (tptp.k3_funct_5 C) A))) (and (tptp.r2_hidden B (tptp.k1_relat_1 D)) (= (tptp.k1_funct_1 D B) (tptp.k1_funct_1 C _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k5_funct_5 C))) (let ((_let_2 (tptp.k1_funct_1 _let_1 B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r2_hidden (tptp.k4_tarski A B) (tptp.k1_relat_1 C)) (and (tptp.r2_hidden B (tptp.k1_relat_1 _let_1)) (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden _let_1 (tptp.k1_relat_1 C)) (= D (tptp.k1_funct_1 (tptp.k5_funct_5 C) B))) (and (tptp.r2_hidden A (tptp.k1_relat_1 D)) (= (tptp.k1_funct_1 D A) (tptp.k1_funct_1 C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (= (tptp.k1_relat_1 (tptp.k5_funct_5 A)) (tptp.k2_funct_5 (tptp.k1_relat_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 C) _let_1) (or (= _let_1 tptp.k1_xboole_0) (and (= (tptp.k1_relat_1 (tptp.k3_funct_5 C)) A) (= (tptp.k1_relat_1 (tptp.k5_funct_5 C)) B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (and (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k3_funct_5 C)) A) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k5_funct_5 C)) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_funct_2 A B)) (and (= (tptp.k1_relat_1 (tptp.k4_funct_5 C)) (tptp.k2_zfmisc_1 _let_1 A)) (= (tptp.k1_relat_1 (tptp.k6_funct_5 C)) (tptp.k2_zfmisc_1 A _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k1_relat_1 A)))) (and (= (tptp.k3_funct_5 A) tptp.k1_xboole_0) (= (tptp.k5_funct_5 A) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A B))) (not (and (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (and (= (tptp.k4_funct_5 A) tptp.k1_xboole_0) (= (tptp.k6_funct_5 A) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (not (and (not (= _let_1 tptp.k1_xboole_0)) (= (tptp.k1_relat_1 D) _let_1) (tptp.r2_hidden C A) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (not (and (= (tptp.k1_funct_1 (tptp.k3_funct_5 D) C) E) (= (tptp.k1_relat_1 E) B) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k2_relat_1 D)) (forall ((F $$unsorted)) (=> (tptp.r2_hidden F B) (= (tptp.k1_funct_1 E F) (tptp.k1_funct_1 D (tptp.k4_tarski C F)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_funct_5 B))) (let ((_let_2 (tptp.k1_funct_1 _let_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.k2_funct_5 _let_1))) (let ((_let_3 (tptp.k1_relat_1 C))) (let ((_let_4 (tptp.k3_funct_5 B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 _let_4)) (= C (tptp.k1_funct_1 _let_4 A))) (and (= _let_3 (tptp.k2_funct_5 (tptp.k3_xboole_0 _let_1 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) _let_2)))) (tptp.r1_tarski _let_3 _let_2) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k2_relat_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski A D))) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (and (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 B _let_1)) (tptp.r2_hidden _let_1 (tptp.k1_relat_1 B)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (not (and (not (= _let_1 tptp.k1_xboole_0)) (= (tptp.k1_relat_1 D) _let_1) (tptp.r2_hidden C B) (forall ((E $$unsorted)) (=> (and (tptp.v1_relat_1 E) (tptp.v1_funct_1 E)) (not (and (= (tptp.k1_funct_1 (tptp.k5_funct_5 D) C) E) (= (tptp.k1_relat_1 E) A) (tptp.r1_tarski (tptp.k2_relat_1 E) (tptp.k2_relat_1 D)) (forall ((F $$unsorted)) (=> (tptp.r2_hidden F A) (= (tptp.k1_funct_1 E F) (tptp.k1_funct_1 D (tptp.k4_tarski F C)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_funct_5 B))) (let ((_let_2 (tptp.k1_funct_1 _let_1 A))) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden A (tptp.k1_relat_1 _let_1)) (and (tptp.v1_relat_1 _let_2) (tptp.v1_funct_1 _let_2))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 B))) (let ((_let_2 (tptp.k1_funct_5 _let_1))) (let ((_let_3 (tptp.k1_relat_1 C))) (let ((_let_4 (tptp.k5_funct_5 B))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 _let_4)) (= C (tptp.k1_funct_1 _let_4 A))) (and (= _let_3 (tptp.k1_funct_5 (tptp.k3_xboole_0 _let_1 (tptp.k2_zfmisc_1 _let_2 (tptp.k1_tarski A))))) (tptp.r1_tarski _let_3 _let_2) (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k2_relat_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski D A))) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (and (= (tptp.k1_funct_1 C D) (tptp.k1_funct_1 B _let_1)) (tptp.r2_hidden _let_1 (tptp.k1_relat_1 B)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (and (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k3_funct_5 C)) (tptp.k1_funct_2 B _let_1)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k5_funct_5 C)) (tptp.k1_funct_2 A _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 A))) (let ((_let_2 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k3_funct_5 A)) (tptp.k4_partfun1 (tptp.k2_funct_5 _let_2) _let_1)) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k5_funct_5 A)) (tptp.k4_partfun1 (tptp.k1_funct_5 _let_2) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k4_partfun1 A B)) (and (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k4_funct_5 C)) (tptp.k2_zfmisc_1 _let_1 A)) (tptp.r1_tarski (tptp.k1_relat_1 (tptp.k6_funct_5 C)) (tptp.k2_zfmisc_1 A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_funct_5 C))) (let ((_let_2 (tptp.k1_funct_1 D B))) (let ((_let_3 (tptp.k4_tarski A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (= D (tptp.k1_funct_1 C A)) (tptp.r2_hidden B (tptp.k1_relat_1 D))) (and (tptp.r2_hidden _let_3 (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 _let_3) _let_2) (tptp.r2_hidden _let_2 (tptp.k2_relat_1 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_funct_5 C))) (let ((_let_2 (tptp.k1_funct_1 D B))) (let ((_let_3 (tptp.k4_tarski B A))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r2_hidden A (tptp.k1_relat_1 C)) (= D (tptp.k1_funct_1 C A)) (tptp.r2_hidden B (tptp.k1_relat_1 D))) (and (tptp.r2_hidden _let_3 (tptp.k1_relat_1 _let_1)) (= (tptp.k1_funct_1 _let_1 _let_3) _let_2) (tptp.r2_hidden _let_2 (tptp.k2_relat_1 _let_1))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k4_partfun1 A B)) (and (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k4_funct_5 C)) B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k6_funct_5 C)) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_funct_2 A B)) (and (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k4_funct_5 C)) B) (tptp.r1_tarski (tptp.k2_relat_1 (tptp.k6_funct_5 C)) B))))) (and (= (tptp.k3_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k5_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0)) (and (= (tptp.k4_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k6_funct_5 tptp.k1_xboole_0) tptp.k1_xboole_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 C) _let_1) (= (tptp.k1_relat_1 D) _let_1) (= (tptp.k3_funct_5 C) (tptp.k3_funct_5 D))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (= (tptp.k1_relat_1 C) _let_1) (= (tptp.k1_relat_1 D) _let_1) (= (tptp.k5_funct_5 C) (tptp.k5_funct_5 D))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 C) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 D) _let_1) (= (tptp.k4_funct_5 C) (tptp.k4_funct_5 D))) (or (= A tptp.k1_xboole_0) (= C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 C) _let_1) (tptp.r1_tarski (tptp.k2_relat_1 D) _let_1) (= (tptp.k6_funct_5 C) (tptp.k6_funct_5 D))) (or (= A tptp.k1_xboole_0) (= C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k2_relat_1 C) (tptp.k1_funct_2 A B)) (or (= A tptp.k1_xboole_0) (and (= (tptp.k3_funct_5 (tptp.k4_funct_5 C)) C) (= (tptp.k5_funct_5 (tptp.k6_funct_5 C)) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (= (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (and (= (tptp.k4_funct_5 (tptp.k3_funct_5 C)) C) (= (tptp.k6_funct_5 (tptp.k5_funct_5 C)) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski (tptp.k1_relat_1 C) (tptp.k2_zfmisc_1 A B)) (and (= (tptp.k4_funct_5 (tptp.k3_funct_5 C)) C) (= (tptp.k6_funct_5 (tptp.k5_funct_5 C)) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 C))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski _let_1 (tptp.k4_partfun1 A B)) (or (tptp.r2_hidden tptp.k1_xboole_0 _let_1) (and (= (tptp.k3_funct_5 (tptp.k4_funct_5 C)) C) (= (tptp.k5_funct_5 (tptp.k6_funct_5 C)) C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) _let_1) (tptp.r1_tarski (tptp.k1_relat_1 D) _let_1) (= (tptp.k3_funct_5 C) (tptp.k3_funct_5 D))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski (tptp.k1_relat_1 C) _let_1) (tptp.r1_tarski (tptp.k1_relat_1 D) _let_1) (= (tptp.k5_funct_5 C) (tptp.k5_funct_5 D))) (= C D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 D))) (let ((_let_2 (tptp.k2_relat_1 C))) (let ((_let_3 (tptp.k4_partfun1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski _let_2 _let_3) (tptp.r1_tarski _let_1 _let_3) (= (tptp.k4_funct_5 C) (tptp.k4_funct_5 D))) (or (tptp.r2_hidden tptp.k1_xboole_0 _let_2) (tptp.r2_hidden tptp.k1_xboole_0 _let_1) (= C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_relat_1 D))) (let ((_let_2 (tptp.k2_relat_1 C))) (let ((_let_3 (tptp.k4_partfun1 A B))) (=> (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D)) (=> (and (tptp.r1_tarski _let_2 _let_3) (tptp.r1_tarski _let_1 _let_3) (= (tptp.k6_funct_5 C) (tptp.k6_funct_5 D))) (or (tptp.r2_hidden tptp.k1_xboole_0 _let_2) (tptp.r2_hidden tptp.k1_xboole_0 _let_1) (= C D)))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.r1_tarski A B) (tptp.r1_tarski (tptp.k1_funct_2 C A) (tptp.k1_funct_2 C B)))) (forall ((A $$unsorted)) (= (tptp.k1_funct_2 tptp.k1_xboole_0 A) (tptp.k1_tarski tptp.k1_xboole_0))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 (tptp.k1_tarski B) A))) (and (tptp.r2_wellord2 A _let_1) (= (tptp.k1_card_1 A) (tptp.k1_card_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_funct_2 A (tptp.k1_tarski B)) (tptp.k1_tarski (tptp.k2_funcop_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 B D))) (let ((_let_2 (tptp.k1_funct_2 A C))) (=> (and (tptp.r2_wellord2 A B) (tptp.r2_wellord2 C D)) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (= (tptp.k1_card_1 C) (tptp.k1_card_1 D))) (= (tptp.k1_card_1 (tptp.k1_funct_2 A C)) (tptp.k1_card_1 (tptp.k1_funct_2 B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.k1_funct_2 A C) (tptp.k1_funct_2 B C)))) (let ((_let_2 (tptp.k1_funct_2 (tptp.k2_xboole_0 A B) C))) (=> (tptp.r1_xboole_0 A B) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_funct_2 A (tptp.k1_funct_2 B C)))) (let ((_let_2 (tptp.k1_funct_2 (tptp.k2_zfmisc_1 A B) C))) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.k1_funct_2 A B) (tptp.k1_funct_2 A C)))) (let ((_let_2 (tptp.k1_funct_2 A (tptp.k2_zfmisc_1 B C)))) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 C))) (let ((_let_2 (tptp.k1_funct_2 C (tptp.k2_tarski A B)))) (=> (not (= A B)) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C C))) (let ((_let_2 (tptp.k1_funct_2 (tptp.k2_tarski A B) C))) (=> (not (= A B)) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1))))))) (exists ((A $$unsorted)) (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (= (tptp.k1_relat_1 A) tptp.f1_s1_funct_5) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r2_hidden B tptp.f1_s1_funct_5) (= (tptp.k1_funct_1 A B) (tptp.f2_s1_funct_5 B))))))) true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_funct_5 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_funct_5 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_funct_5 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_funct_5 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v2_classes1 A) (tptp.v1_classes1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_classes1 _let_1) (tptp.v2_classes1 _let_1)))) (forall ((A $$unsorted)) (=> (tptp.v1_classes2 A) (and (tptp.v1_ordinal1 A) (tptp.v1_classes1 A) (tptp.v2_classes1 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_ordinal1 A) (tptp.v2_classes1 A)) (tptp.v1_classes2 A))) (exists ((A $$unsorted)) (and (tptp.v1_ordinal1 A) (not (tptp.v1_xboole_0 A)) (tptp.v1_classes1 A) (tptp.v2_classes1 A) (tptp.v1_classes2 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_ordinal2 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (and (tptp.v1_ordinal1 _let_1) (tptp.v2_ordinal1 _let_1) (tptp.v3_ordinal1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (and (tptp.v1_ordinal1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_classes1 _let_1) (tptp.v2_classes1 _let_1) (tptp.v1_classes2 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (=> (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_classes1 _let_1) (tptp.v2_classes1 _let_1) (tptp.v1_classes2 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (tptp.v1_ordinal1 (tptp.k5_classes1 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (=> (tptp.v1_ordinal1 A) (and (tptp.v1_ordinal1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_classes1 _let_1) (tptp.v2_classes1 _let_1) (tptp.v1_classes2 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v1_ordinal1 (tptp.k4_classes1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k16_classes2 A))) (=> (tptp.v3_ordinal1 A) (and (tptp.v1_ordinal1 _let_1) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_classes1 _let_1) (tptp.v2_classes1 _let_1) (tptp.v1_classes2 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_classes1 A) (tptp.r2_hidden B A)) (and (not (tptp.r2_wellord2 B A)) (tptp.r2_hidden (tptp.k1_card_1 B) (tptp.k1_card_1 A))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_classes1 A) (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (and (tptp.r2_hidden (tptp.k1_tarski B) A) (tptp.r2_hidden (tptp.k2_tarski B C) A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_classes1 A) (tptp.r2_hidden B A) (tptp.r2_hidden C A)) (tptp.r2_hidden (tptp.k4_tarski B C) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_classes1 A) (tptp.r2_hidden B A)) (tptp.r1_tarski (tptp.k1_classes1 B) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v2_classes1 B) (tptp.r2_hidden A B)) (and (tptp.r2_hidden (tptp.k1_ordinal1 A) B) (tptp.r1_tarski A B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (tptp.r2_hidden A _let_1) (and (tptp.r2_hidden (tptp.k1_ordinal1 A) _let_1) (tptp.r1_tarski A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_classes1 A) (tptp.v1_ordinal1 B) (tptp.r2_hidden B A)) (tptp.r1_tarski B A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (and (tptp.v1_ordinal1 A) (tptp.r2_hidden A _let_1)) (tptp.r1_tarski A _let_1)))) (forall ((A $$unsorted)) (=> (tptp.v2_classes1 A) (= (tptp.k2_ordinal2 A) (tptp.k1_card_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (= (tptp.k2_ordinal2 _let_1) (tptp.k1_card_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_classes1 A) (tptp.r2_hidden B A)) (tptp.r2_hidden (tptp.k1_card_1 B) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (tptp.r2_hidden A _let_1) (tptp.r2_hidden (tptp.k1_card_1 A) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_classes1 A) (tptp.r2_hidden B (tptp.k1_card_1 A))) (tptp.r2_hidden B A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (tptp.r2_hidden A (tptp.k1_card_1 _let_1)) (tptp.r2_hidden A _let_1)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v2_classes1 B) (tptp.r2_hidden A (tptp.k1_card_1 B))) (tptp.r2_hidden A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (tptp.r2_hidden A (tptp.k1_card_1 _let_1)) (tptp.r2_hidden A _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v2_classes1 B) (tptp.r2_hidden A B)) (tptp.r1_tarski A B))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (tptp.r2_hidden A _let_1) (tptp.r1_tarski A _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v2_classes1 A) (tptp.v4_ordinal1 (tptp.k1_card_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (=> (tptp.v2_classes1 A) (or (= A tptp.k1_xboole_0) (and (not (= _let_1 tptp.np__0)) (not (= _let_1 tptp.k1_xboole_0)) (tptp.v4_ordinal1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_1 (tptp.k1_classes1 A)))) (and (not (= _let_1 tptp.np__0)) (not (= _let_1 tptp.k1_xboole_0)) (tptp.v4_ordinal1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.r1_tarski B A))) (let ((_let_2 (tptp.r2_hidden B A))) (=> (tptp.v2_classes1 A) (or (and (not (and _let_2 (tptp.v1_ordinal1 A))) (not (and _let_2 _let_1)) (not (and (tptp.r2_hidden (tptp.k1_card_1 B) (tptp.k1_card_1 A)) _let_1))) (tptp.r1_tarski (tptp.k1_funct_2 B A) A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (let ((_let_2 (tptp.r1_tarski A _let_1))) (let ((_let_3 (tptp.r2_hidden A _let_1))) (=> (not (and (not (and _let_3 (tptp.v1_ordinal1 B))) (not (and _let_3 _let_2)) (not (and (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k1_card_1 _let_1)) _let_2)))) (tptp.r1_tarski (tptp.k1_funct_2 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v5_ordinal1 A)) (=> (and (tptp.v4_ordinal1 _let_1) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A B) (tptp.k4_classes1 B)))))) (= (tptp.k4_classes1 _let_1) (tptp.k3_card_3 A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_classes1 A))) (=> (and (tptp.v2_classes1 B) (tptp.r2_hidden A (tptp.k2_ordinal2 B))) (and (tptp.r2_hidden (tptp.k1_card_1 _let_1) (tptp.k1_card_1 B)) (tptp.r2_hidden _let_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (let ((_let_2 (tptp.k4_classes1 A))) (=> (tptp.r2_hidden A (tptp.k2_ordinal2 _let_1)) (and (tptp.r2_hidden (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1)) (tptp.r2_hidden _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.v2_classes1 A) (tptp.r1_tarski (tptp.k4_classes1 (tptp.k1_card_1 A)) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (tptp.r1_tarski (tptp.k4_classes1 (tptp.k1_card_1 _let_1)) _let_1))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_classes1 A) (tptp.v1_ordinal1 A) (tptp.r2_hidden B A)) (tptp.r2_hidden (tptp.k6_classes1 B) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_classes1 A) (tptp.v1_ordinal1 A)) (tptp.r1_tarski A (tptp.k4_classes1 (tptp.k1_card_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_classes1 A) (tptp.v1_ordinal1 A)) (= (tptp.k4_classes1 (tptp.k1_card_1 A)) A))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v2_classes1 B) (tptp.r2_hidden A (tptp.k2_ordinal2 B))) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k4_classes1 A)) (tptp.k1_card_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (tptp.r2_hidden A (tptp.k2_ordinal2 _let_1)) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k4_classes1 A)) (tptp.k1_card_1 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (=> (tptp.v2_classes1 A) (= _let_1 (tptp.k1_card_1 (tptp.k4_classes1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_1 (tptp.k1_classes1 A)))) (= _let_1 (tptp.k1_card_1 (tptp.k4_classes1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_classes1 (tptp.k1_card_1 A)))) (not (and (tptp.v2_classes1 A) (tptp.r1_tarski B _let_1) (not (tptp.r2_wellord2 B _let_1)) (not (tptp.r2_hidden B _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_classes1 (tptp.k1_card_1 (tptp.k1_classes1 B))))) (not (and (tptp.r1_tarski A _let_1) (not (tptp.r2_wellord2 A _let_1)) (not (tptp.r2_hidden A _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v2_classes1 A) (tptp.v2_classes1 (tptp.k4_classes1 (tptp.k1_card_1 A))))) (forall ((A $$unsorted)) (tptp.v2_classes1 (tptp.k4_classes1 (tptp.k1_card_1 (tptp.k1_classes1 A))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (not (and (tptp.v1_ordinal1 B) (tptp.r2_hidden A (tptp.k6_classes1 B)) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C B) (= (tptp.k6_classes1 C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k6_classes1 A)) (tptp.k1_card_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_classes1 A) (tptp.v1_ordinal1 B) (tptp.r2_hidden B A)) (tptp.r2_hidden B (tptp.k4_classes1 (tptp.k1_card_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_classes1 B))) (=> (and (tptp.v1_ordinal1 A) (tptp.r2_hidden A _let_1)) (tptp.r2_hidden A (tptp.k4_classes1 (tptp.k1_card_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (tptp.r1_classes1 A (tptp.k4_classes1 (tptp.k1_card_1 (tptp.k1_classes1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (=> (tptp.v1_ordinal1 A) (= (tptp.k4_classes1 (tptp.k1_card_1 _let_1)) _let_1)))) _let_61 true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.v3_ordinal1 (tptp.k2_ordinal2 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_ordinal1 A) (tptp.v1_classes2 (tptp.k1_classes1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_classes1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_classes2 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (tptp.v1_classes2 (tptp.k1_classes1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (= A (tptp.k4_classes1 (tptp.k2_ordinal2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_ordinal2 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (and (not (= _let_1 tptp.k1_xboole_0)) (tptp.v4_ordinal1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (not (and (not (tptp.r2_hidden A B)) (not (= A B)) (not (tptp.r2_hidden B A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (or (tptp.r1_tarski A B) (tptp.r2_hidden B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (tptp.r3_xboole_0 A B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_classes2 C)) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden B C)) (tptp.r2_hidden A C)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_xboole_0 A B))) (let ((_let_2 (tptp.k2_xboole_0 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (and (not (tptp.v1_xboole_0 _let_2)) (tptp.v1_classes2 _let_2) (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_classes2 _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.r2_hidden tptp.k1_xboole_0 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (=> (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k1_tarski A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_classes2 C)) (=> (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)) (and (tptp.r2_hidden (tptp.k2_tarski A B) C) (tptp.r2_hidden (tptp.k4_tarski A B) C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (=> (tptp.r2_hidden A B) (and (tptp.r2_hidden (tptp.k1_zfmisc_1 A) B) (tptp.r2_hidden (tptp.k3_tarski A) B) (tptp.r2_hidden (tptp.k1_setfam_1 A) B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_classes2 C)) (=> (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)) (and (tptp.r2_hidden (tptp.k2_xboole_0 A B) C) (tptp.r2_hidden (tptp.k3_xboole_0 A B) C) (tptp.r2_hidden (tptp.k4_xboole_0 A B) C) (tptp.r2_hidden (tptp.k5_xboole_0 A B) C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_classes2 C)) (=> (and (tptp.r2_hidden A C) (tptp.r2_hidden B C)) (and (tptp.r2_hidden (tptp.k2_zfmisc_1 A B) C) (tptp.r2_hidden (tptp.k1_funct_2 A B) C))))) _let_60 true (= (tptp.k1_card_1 _let_58) _let_59) (tptp.v2_classes1 _let_58) (= tptp.k13_classes2 _let_58) _let_57 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (= (= B (tptp.k15_classes2 A)) (and (tptp.r1_tarski A B) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v1_classes2 C)) (=> (tptp.r1_tarski A C) (tptp.r1_tarski B C)))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (= (= B (tptp.k16_classes2 A)) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v5_ordinal1 C) (= B (tptp.k1_ordinal2 C)) (= (tptp.k1_relat_1 C) (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C tptp.k1_xboole_0) tptp.k13_classes2) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_ordinal1 D))) (=> (tptp.v3_ordinal1 D) (=> (tptp.r2_hidden _let_1 (tptp.k1_ordinal1 A)) (= (tptp.k1_funct_1 C _let_1) (tptp.k1_classes1 (tptp.k1_funct_1 C D))))))) (forall ((D $$unsorted)) (=> (tptp.v3_ordinal1 D) (=> (and (tptp.r2_hidden D (tptp.k1_ordinal1 A)) (tptp.v4_ordinal1 D)) (or (= D tptp.k1_xboole_0) (= (tptp.k1_funct_1 C D) (tptp.k15_classes2 (tptp.k3_card_3 (tptp.k2_ordinal1 C D)))))))))))))) true true true (= (tptp.k16_classes2 tptp.k1_xboole_0) tptp.k13_classes2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k16_classes2 (tptp.k1_ordinal1 A)) (tptp.k1_classes1 (tptp.k16_classes2 A))))) (= (tptp.k16_classes2 tptp.k4_ordinal2) tptp.k14_classes2) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v5_ordinal1 B)) (=> (and (tptp.v4_ordinal1 A) (= (tptp.k1_relat_1 B) A) (forall ((C $$unsorted)) (=> (tptp.v3_ordinal1 C) (=> (tptp.r2_hidden C A) (= (tptp.k1_funct_1 B C) (tptp.k16_classes2 C)))))) (or (= A tptp.k1_xboole_0) (= (tptp.k16_classes2 A) (tptp.k15_classes2 (tptp.k3_card_3 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (and (tptp.r1_tarski tptp.k13_classes2 A) (tptp.r1_tarski (tptp.k1_classes1 tptp.k1_xboole_0) A) (tptp.r1_tarski (tptp.k16_classes2 tptp.k1_xboole_0) A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r2_hidden A B) (tptp.r2_hidden (tptp.k16_classes2 A) (tptp.k16_classes2 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (= (tptp.k16_classes2 A) (tptp.k16_classes2 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (= (tptp.r1_ordinal1 A B) (tptp.r1_tarski (tptp.k16_classes2 A) (tptp.k16_classes2 B))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k1_classes2 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A)) (= (tptp.k1_classes2 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_classes2 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_subset_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A)) (= (tptp.k2_classes2 A B) (tptp.k1_zfmisc_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k3_classes2 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A)) (= (tptp.k3_classes2 A B) (tptp.k3_tarski B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A)) (tptp.m1_subset_1 (tptp.k4_classes2 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A)) (= (tptp.k4_classes2 A B) (tptp.k1_setfam_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k5_classes2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k5_classes2 A B C) (tptp.k5_classes2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k5_classes2 A B C) (tptp.k2_tarski B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k6_classes2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k6_classes2 A B C) (tptp.k4_tarski B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k7_classes2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k7_classes2 A B C) (tptp.k7_classes2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k7_classes2 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k7_classes2 A B C) (tptp.k2_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k8_classes2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k8_classes2 A B C) (tptp.k8_classes2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k8_classes2 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k8_classes2 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k9_classes2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k9_classes2 A B C) (tptp.k4_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k10_classes2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k10_classes2 A B C) (tptp.k10_classes2 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k10_classes2 A B C) (tptp.k5_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k11_classes2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k11_classes2 A B C) (tptp.k2_zfmisc_1 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (tptp.m1_subset_1 (tptp.k12_classes2 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A) (tptp.m1_subset_1 B A) (tptp.m1_subset_1 C A)) (= (tptp.k12_classes2 A B C) (tptp.k1_funct_2 B C)))) (and (not (tptp.v1_xboole_0 tptp.k13_classes2)) (tptp.v1_classes2 tptp.k13_classes2)) (and (not (tptp.v1_xboole_0 tptp.k14_classes2)) (tptp.v1_classes2 tptp.k14_classes2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_classes2 A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_classes2 _let_1)))) true (not (tptp.v1_xboole_0 tptp.k1_qc_lang1)) (not (tptp.v1_xboole_0 tptp.k2_qc_lang1)) (not (tptp.v1_xboole_0 tptp.k3_qc_lang1)) (not (tptp.v1_xboole_0 tptp.k4_qc_lang1)) (not (tptp.v1_xboole_0 tptp.k5_qc_lang1)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (not (tptp.v1_xboole_0 (tptp.k7_qc_lang1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C A) (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k1_tarski C) B) (tptp.k2_zfmisc_1 A B)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k1_enumset1 C D E) B) (tptp.k2_zfmisc_1 A B)))))))))) _let_56 true (tptp.r1_tarski tptp.k1_qc_lang1 _let_29) _let_55 _let_54 _let_53 true true true true true (tptp.r1_tarski tptp.k5_qc_lang1 _let_29) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (= B (tptp.k6_qc_lang1 A)) (= (tptp.k1_mcart_1 A) (tptp.k1_nat_1 tptp.np__7 B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k1_qc_lang1) (= (tptp.m1_qc_lang1 B A) (= (tptp.k3_finseq_1 B) A)))))) _let_52 (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (= A tptp.k8_qc_lang1) (and (tptp.v1_qc_lang1 A) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (=> (tptp.v1_qc_lang1 B) (tptp.r1_tarski A B)))))))) true true true true true true true true true true (tptp.v1_qc_lang1 tptp.k8_qc_lang1) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k1_qc_lang1) (=> (= (tptp.k6_qc_lang1 A) (tptp.k3_finseq_1 B)) (= (tptp.k9_qc_lang1 A B) (tptp.k7_finseq_1 (tptp.k12_finseq_1 tptp.k5_qc_lang1 A) B))))))) true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k5_qc_lang1 (tptp.k7_qc_lang1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_qc_lang1 C A) (= (tptp.k9_qc_lang1 B C) (tptp.k7_finseq_1 (tptp.k12_finseq_1 (tptp.k7_qc_lang1 A) B) C)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.k10_qc_lang1 A) A))) _let_51 (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.k12_qc_lang1 A) (tptp.k7_finseq_1 (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__1 tptp.np__0)) (tptp.k10_qc_lang1 A))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k13_qc_lang1 A B) (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__2 tptp.np__0)) (tptp.k10_qc_lang1 A)) (tptp.k10_qc_lang1 B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k14_qc_lang1 A B) (tptp.k7_finseq_1 (tptp.k7_finseq_1 (tptp.k9_finseq_1 (tptp.k4_tarski tptp.np__3 tptp.np__0)) (tptp.k12_finseq_1 tptp.k2_qc_lang1 A)) (tptp.k10_qc_lang1 B))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.v2_qc_lang1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k5_qc_lang1 (tptp.k7_qc_lang1 B)) (exists ((D $$unsorted)) (and (tptp.m1_qc_lang1 D B) (= A (tptp.k9_qc_lang1 C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.v3_qc_lang1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= A (tptp.k12_qc_lang1 B))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.v4_qc_lang1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.k8_qc_lang1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= A (tptp.k13_qc_lang1 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.v5_qc_lang1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= A (tptp.k14_qc_lang1 B C))))))))) true true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (not (and (not (= A tptp.k11_qc_lang1)) (not (tptp.v2_qc_lang1 A)) (not (tptp.v3_qc_lang1 A)) (not (tptp.v4_qc_lang1 A)) (not (tptp.v5_qc_lang1 A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.r1_xreal_0 tptp.np__1 (tptp.k3_finseq_1 (tptp.k10_qc_lang1 A))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k5_qc_lang1 (tptp.k7_qc_lang1 A)) (= (tptp.k6_qc_lang1 B) A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 (tptp.k1_funct_1 (tptp.k10_qc_lang1 A) tptp.np__1)))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (and (=> (= _let_1 tptp.np__0) (= A tptp.k11_qc_lang1)) (=> (= _let_1 tptp.np__1) (tptp.v3_qc_lang1 A)) (=> (= _let_1 tptp.np__2) (tptp.v4_qc_lang1 A)) (=> (= _let_1 tptp.np__3) (tptp.v5_qc_lang1 A)) (=> (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 (tptp.k1_funct_1 (tptp.k10_qc_lang1 A) tptp.np__1) tptp.k5_qc_lang1 (tptp.k7_qc_lang1 B)))) (tptp.v2_qc_lang1 A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k10_qc_lang1 B))) (let ((_let_2 (tptp.k10_qc_lang1 A))) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (=> (= _let_2 (tptp.k7_finseq_1 _let_1 C)) (= _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v2_qc_lang1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k5_qc_lang1) (= (= B (tptp.k15_qc_lang1 A)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (exists ((D $$unsorted)) (and (tptp.m1_qc_lang1 D C) (exists ((E $$unsorted)) (and (tptp.m2_subset_1 E tptp.k5_qc_lang1 (tptp.k7_qc_lang1 C)) (= B E) (= A (tptp.k9_qc_lang1 E D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v2_qc_lang1 A) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k1_qc_lang1) (= (= B (tptp.k16_qc_lang1 A)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (exists ((D $$unsorted)) (and (tptp.m2_subset_1 D tptp.k5_qc_lang1 (tptp.k7_qc_lang1 C)) (exists ((E $$unsorted)) (and (tptp.m1_qc_lang1 E C) (= B E) (= A (tptp.k9_qc_lang1 D E)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v3_qc_lang1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (= B (tptp.k17_qc_lang1 A)) (= A (tptp.k12_qc_lang1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v4_qc_lang1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (= B (tptp.k18_qc_lang1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= A (tptp.k13_qc_lang1 B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v4_qc_lang1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (= B (tptp.k19_qc_lang1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= A (tptp.k13_qc_lang1 C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v5_qc_lang1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (= (= B (tptp.k20_qc_lang1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= A (tptp.k14_qc_lang1 B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v5_qc_lang1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (= B (tptp.k21_qc_lang1 A)) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (= A (tptp.k14_qc_lang1 C B)))))))))) true true true true true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (not (and (tptp.v3_qc_lang1 A) (tptp.r1_xreal_0 (tptp.k3_finseq_1 (tptp.k10_qc_lang1 A)) (tptp.k3_finseq_1 (tptp.k10_qc_lang1 (tptp.k17_qc_lang1 A)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 (tptp.k10_qc_lang1 A)))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v4_qc_lang1 A) (and (not (tptp.r1_xreal_0 _let_1 (tptp.k3_finseq_1 (tptp.k10_qc_lang1 (tptp.k18_qc_lang1 A))))) (not (tptp.r1_xreal_0 _let_1 (tptp.k3_finseq_1 (tptp.k10_qc_lang1 (tptp.k19_qc_lang1 A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (not (and (tptp.v5_qc_lang1 A) (tptp.r1_xreal_0 (tptp.k3_finseq_1 (tptp.k10_qc_lang1 A)) (tptp.k3_finseq_1 (tptp.k10_qc_lang1 (tptp.k21_qc_lang1 A)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 B))) (=> (tptp.m2_subset_1 B tptp.k5_qc_lang1 (tptp.k7_qc_lang1 A)) (and (not (= _let_1 tptp.np__0)) (not (= _let_1 tptp.np__1)) (not (= _let_1 tptp.np__2)) (not (= _let_1 tptp.np__3)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 (tptp.k1_funct_1 (tptp.k10_qc_lang1 A) tptp.np__1)))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (and (= (tptp.k1_mcart_1 (tptp.k1_funct_1 (tptp.k10_qc_lang1 tptp.k11_qc_lang1) tptp.np__1)) tptp.np__0) (not (and (tptp.v2_qc_lang1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (tptp.m2_subset_1 (tptp.k1_funct_1 (tptp.k10_qc_lang1 A) tptp.np__1) tptp.k5_qc_lang1 (tptp.k7_qc_lang1 B))))))) (=> (tptp.v3_qc_lang1 A) (= _let_1 tptp.np__1)) (=> (tptp.v4_qc_lang1 A) (= _let_1 tptp.np__2)) (=> (tptp.v5_qc_lang1 A) (= _let_1 tptp.np__3)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_mcart_1 (tptp.k1_funct_1 (tptp.k10_qc_lang1 A) tptp.np__1)))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v2_qc_lang1 A) (and (not (= _let_1 tptp.np__0)) (not (= _let_1 tptp.np__1)) (not (= _let_1 tptp.np__2)) (not (= _let_1 tptp.np__3))))))) (and (not (tptp.v2_qc_lang1 tptp.k11_qc_lang1)) (not (tptp.v3_qc_lang1 tptp.k11_qc_lang1)) (not (tptp.v4_qc_lang1 tptp.k11_qc_lang1)) (not (tptp.v5_qc_lang1 tptp.k11_qc_lang1)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v5_qc_lang1 A))) (let ((_let_2 (tptp.v4_qc_lang1 A))) (let ((_let_3 (tptp.v3_qc_lang1 A))) (let ((_let_4 (tptp.v2_qc_lang1 A))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (and (not (and _let_4 _let_3)) (not (and _let_4 _let_2)) (not (and _let_4 _let_1)) (not (and _let_3 _let_2)) (not (and _let_3 _let_1)) (not (and _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.v6_qc_lang1 A) (= (tptp.k24_qc_lang1 A) tptp.k1_xboole_0)))) (=> (and (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k5_qc_lang1 (tptp.k7_qc_lang1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_qc_lang1 C A) (tptp.p1_s1_qc_lang1 (tptp.k9_qc_lang1 B C)))))))) (tptp.p1_s1_qc_lang1 tptp.k11_qc_lang1) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.p1_s1_qc_lang1 A) (tptp.p1_s1_qc_lang1 (tptp.k12_qc_lang1 A))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (and (tptp.p1_s1_qc_lang1 A) (tptp.p1_s1_qc_lang1 B)) (tptp.p1_s1_qc_lang1 (tptp.k13_qc_lang1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.p1_s1_qc_lang1 B) (tptp.p1_s1_qc_lang1 (tptp.k14_qc_lang1 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.p1_s1_qc_lang1 A)))) (=> (forall ((A $$unsorted)) (let ((_let_1 (tptp.p1_s2_qc_lang1 A))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (and (=> (tptp.v2_qc_lang1 A) _let_1) (tptp.p1_s2_qc_lang1 tptp.k11_qc_lang1) (=> (and (tptp.v3_qc_lang1 A) (tptp.p1_s2_qc_lang1 (tptp.k17_qc_lang1 A))) _let_1) (=> (and (tptp.v4_qc_lang1 A) (tptp.p1_s2_qc_lang1 (tptp.k18_qc_lang1 A)) (tptp.p1_s2_qc_lang1 (tptp.k19_qc_lang1 A))) _let_1) (=> (and (tptp.v5_qc_lang1 A) (tptp.p1_s2_qc_lang1 (tptp.k21_qc_lang1 A))) _let_1))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.p1_s2_qc_lang1 A)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k8_qc_lang1 tptp.f1_s3_qc_lang1) (tptp.m2_relset_1 A tptp.k8_qc_lang1 tptp.f1_s3_qc_lang1) (= (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.f1_s3_qc_lang1 A tptp.k11_qc_lang1) tptp.f2_s3_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.f1_s3_qc_lang1 A B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (and (=> (tptp.v2_qc_lang1 B) (= _let_1 (tptp.f3_s3_qc_lang1 B))) (=> (tptp.v3_qc_lang1 B) (= _let_1 (tptp.f4_s3_qc_lang1 (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.f1_s3_qc_lang1 A (tptp.k17_qc_lang1 B))))) (=> (tptp.v4_qc_lang1 B) (= _let_1 (tptp.f5_s3_qc_lang1 (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.f1_s3_qc_lang1 A (tptp.k18_qc_lang1 B)) (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.f1_s3_qc_lang1 A (tptp.k19_qc_lang1 B))))) (=> (tptp.v5_qc_lang1 B) (= _let_1 (tptp.f6_s3_qc_lang1 B (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.f1_s3_qc_lang1 A (tptp.k21_qc_lang1 B))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_qc_lang1 B A) (tptp.m2_finseq_1 B tptp.k1_qc_lang1))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (exists ((B $$unsorted)) (tptp.m1_qc_lang1 B A)))) true (tptp.m1_subset_1 tptp.k2_qc_lang1 _let_48) (tptp.m1_subset_1 tptp.k3_qc_lang1 _let_48) (tptp.m1_subset_1 tptp.k4_qc_lang1 _let_48) true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_qc_lang1) (tptp.m2_subset_1 (tptp.k6_qc_lang1 A) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 (tptp.k7_qc_lang1 A) (tptp.k1_zfmisc_1 tptp.k5_qc_lang1)))) (not (tptp.v1_xboole_0 tptp.k8_qc_lang1)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_qc_lang1) (tptp.m1_finseq_1 B tptp.k1_qc_lang1)) (tptp.m1_subset_1 (tptp.k9_qc_lang1 A B) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m2_finseq_1 (tptp.k10_qc_lang1 A) (tptp.k12_mcart_1 tptp.k1_numbers tptp.k1_numbers tptp.k5_numbers tptp.k5_numbers)))) (tptp.m1_subset_1 tptp.k11_qc_lang1 tptp.k8_qc_lang1) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k12_qc_lang1 A) tptp.k8_qc_lang1))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 B tptp.k8_qc_lang1)) (tptp.m1_subset_1 (tptp.k13_qc_lang1 A B) tptp.k8_qc_lang1))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 B tptp.k8_qc_lang1)) (tptp.m1_subset_1 (tptp.k14_qc_lang1 A B) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k15_qc_lang1 A) tptp.k5_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m2_finseq_1 (tptp.k16_qc_lang1 A) tptp.k1_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k17_qc_lang1 A) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k18_qc_lang1 A) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k19_qc_lang1 A) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m2_subset_1 (tptp.k20_qc_lang1 A) tptp.k1_qc_lang1 tptp.k2_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k21_qc_lang1 A) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_finseq_1 A tptp.k1_qc_lang1) (tptp.m1_subset_1 (tptp.k22_qc_lang1 A) (tptp.k1_zfmisc_1 tptp.k2_qc_lang1)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 (tptp.k23_qc_lang1 A) (tptp.k1_zfmisc_1 tptp.k2_qc_lang1)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k2_qc_lang1) (= (tptp.k23_qc_lang1 A) (tptp.k1_tarski A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k24_qc_lang1 A) (tptp.k1_zfmisc_1 tptp.k2_qc_lang1)))) _let_47 (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (= (tptp.k7_qc_lang1 A) (tptp.a_1_0_qc_lang1 A)))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_qc_lang1) (= (tptp.k22_qc_lang1 A) (tptp.a_1_1_qc_lang1 A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 tptp.k2_qc_lang1)) (= (= B (tptp.k24_qc_lang1 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 tptp.k2_qc_lang1))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k8_qc_lang1 _let_1) (tptp.m2_relset_1 C tptp.k8_qc_lang1 _let_1) (= B (tptp.k8_funct_2 tptp.k8_qc_lang1 _let_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 tptp.k2_qc_lang1))) (let ((_let_2 (tptp.k8_funct_2 tptp.k8_qc_lang1 _let_1 C D))) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (and (= (tptp.k8_funct_2 tptp.k8_qc_lang1 _let_1 C tptp.k11_qc_lang1) tptp.k1_xboole_0) (=> (tptp.v2_qc_lang1 D) (= _let_2 (tptp.a_1_2_qc_lang1 D))) (=> (tptp.v3_qc_lang1 D) (= _let_2 (tptp.k8_funct_2 tptp.k8_qc_lang1 _let_1 C (tptp.k17_qc_lang1 D)))) (=> (tptp.v4_qc_lang1 D) (= _let_2 (tptp.k4_subset_1 tptp.k2_qc_lang1 (tptp.k8_funct_2 tptp.k8_qc_lang1 _let_1 C (tptp.k18_qc_lang1 D)) (tptp.k8_funct_2 tptp.k8_qc_lang1 _let_1 C (tptp.k19_qc_lang1 D))))) (=> (tptp.v5_qc_lang1 D) (= _let_2 (tptp.k6_subset_1 tptp.k2_qc_lang1 (tptp.k8_funct_2 tptp.k8_qc_lang1 _let_1 C (tptp.k21_qc_lang1 D)) (tptp.k23_qc_lang1 (tptp.k20_qc_lang1 D)))))))))))))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_qc_lang1) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A (tptp.k4_tarski B C)) (tptp.r1_xreal_0 tptp.np__7 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.r2_hidden A (tptp.a_1_0_qc_lang1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k5_qc_lang1) (= A C) (= (tptp.k6_qc_lang1 C) B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k1_qc_lang1) (= (tptp.r2_hidden A (tptp.a_1_1_qc_lang1 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 B C))) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A _let_1) (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 B)) (tptp.r2_hidden _let_1 tptp.k2_qc_lang1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.r2_hidden A (tptp.a_1_2_qc_lang1 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k16_qc_lang1 B))) (let ((_let_2 (tptp.k1_funct_1 _let_1 C))) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A _let_2) (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k3_finseq_1 _let_1)) (tptp.r2_hidden _let_2 tptp.k2_qc_lang1)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (= (tptp.k12_qc_lang1 A) (tptp.k12_qc_lang1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.k17_qc_lang1 (tptp.k12_qc_lang1 A)) A))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (=> (= (tptp.k13_qc_lang1 A B) (tptp.k13_qc_lang1 C D)) (and (= A C) (= B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v4_qc_lang1 A) (= A (tptp.k13_qc_lang1 (tptp.k18_qc_lang1 A) (tptp.k19_qc_lang1 A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k13_qc_lang1 A B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (and (= (tptp.k18_qc_lang1 _let_1) A) (= (tptp.k19_qc_lang1 _let_1) B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (=> (= (tptp.k14_qc_lang1 A C) (tptp.k14_qc_lang1 B D)) (and (= A B) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v5_qc_lang1 A) (= A (tptp.k14_qc_lang1 (tptp.k20_qc_lang1 A) (tptp.k21_qc_lang1 A)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k14_qc_lang1 A B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (and (= (tptp.k20_qc_lang1 _let_1) A) (= (tptp.k21_qc_lang1 _let_1) B))))))) _let_46 (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k2_qc_lang2 A B) (tptp.k12_qc_lang1 (tptp.k13_qc_lang1 A (tptp.k12_qc_lang1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k3_qc_lang2 A B) (tptp.k12_qc_lang1 (tptp.k13_qc_lang1 (tptp.k12_qc_lang1 A) (tptp.k12_qc_lang1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k4_qc_lang2 A B) (tptp.k13_qc_lang1 (tptp.k2_qc_lang2 A B) (tptp.k2_qc_lang2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k5_qc_lang2 A B) (tptp.k12_qc_lang1 (tptp.k14_qc_lang1 A (tptp.k12_qc_lang1 B)))))))) true true true true (and (tptp.v3_qc_lang1 tptp.k1_qc_lang2) (= (tptp.k17_qc_lang1 tptp.k1_qc_lang2) tptp.k11_qc_lang1)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k3_qc_lang2 A B) (tptp.k2_qc_lang2 (tptp.k12_qc_lang1 A) B)))))) true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (=> (= (tptp.k3_qc_lang2 A B) (tptp.k3_qc_lang2 C D)) (and (= A C) (= B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (=> (= (tptp.k2_qc_lang2 A B) (tptp.k2_qc_lang2 C D)) (and (= A C) (= B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (=> (= (tptp.k4_qc_lang2 A B) (tptp.k4_qc_lang2 C D)) (and (= A C) (= B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (=> (= (tptp.k5_qc_lang2 A C) (tptp.k5_qc_lang2 B D)) (and (= A B) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= (tptp.k6_qc_lang2 A B C) (tptp.k14_qc_lang1 A (tptp.k14_qc_lang1 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= (tptp.k7_qc_lang2 A B C) (tptp.k5_qc_lang2 A (tptp.k5_qc_lang2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (and (= (tptp.k6_qc_lang2 A B C) (tptp.k14_qc_lang1 A (tptp.k14_qc_lang1 B C))) (= (tptp.k7_qc_lang2 A B C) (tptp.k5_qc_lang2 A (tptp.k5_qc_lang2 B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (=> (= (tptp.k6_qc_lang2 C E A) (tptp.k6_qc_lang2 D F B)) (and (= C D) (= E F) (= A B))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k8_qc_lang1) (=> (= (tptp.k6_qc_lang2 A B D) (tptp.k14_qc_lang1 C E)) (and (= A C) (= (tptp.k14_qc_lang1 B D) E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (=> (= (tptp.k7_qc_lang2 C E A) (tptp.k7_qc_lang2 D F B)) (and (= C D) (= E F) (= A B))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k8_qc_lang1) (=> (= (tptp.k7_qc_lang2 A B D) (tptp.k5_qc_lang2 C E)) (and (= A C) (= (tptp.k5_qc_lang2 B D) E))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_qc_lang2 A B C))) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (and (tptp.v5_qc_lang1 _let_1) (= (tptp.k20_qc_lang1 _let_1) A) (= (tptp.k21_qc_lang1 _let_1) (tptp.k14_qc_lang1 B C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (= (tptp.k8_qc_lang2 A B C D) (tptp.k14_qc_lang1 A (tptp.k6_qc_lang2 B C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (= (tptp.k9_qc_lang2 A B C D) (tptp.k5_qc_lang2 A (tptp.k7_qc_lang2 B C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (and (= (tptp.k8_qc_lang2 A B C D) (tptp.k14_qc_lang1 A (tptp.k6_qc_lang2 B C D))) (= (tptp.k9_qc_lang2 A B C D) (tptp.k5_qc_lang2 A (tptp.k7_qc_lang2 B C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((H $$unsorted)) (=> (tptp.m2_subset_1 H tptp.k1_qc_lang1 tptp.k2_qc_lang1) (=> (= (tptp.k8_qc_lang2 C E G A) (tptp.k8_qc_lang2 D F H B)) (and (= C D) (= E F) (= G H) (= A B))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k8_qc_lang1) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (=> (= (tptp.k8_qc_lang2 A B C D) (tptp.k14_qc_lang1 F E)) (and (= A F) (= (tptp.k6_qc_lang2 B C D) E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k8_qc_lang1) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_qc_lang1 tptp.k2_qc_lang1) (=> (= (tptp.k8_qc_lang2 A B C D) (tptp.k6_qc_lang2 F G E)) (and (= A F) (= B G) (= (tptp.k14_qc_lang1 C D) E))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((H $$unsorted)) (=> (tptp.m2_subset_1 H tptp.k1_qc_lang1 tptp.k2_qc_lang1) (=> (= (tptp.k9_qc_lang2 C E G A) (tptp.k9_qc_lang2 D F H B)) (and (= C D) (= E F) (= G H) (= A B))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k8_qc_lang1) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (=> (= (tptp.k9_qc_lang2 A B C D) (tptp.k5_qc_lang2 F E)) (and (= A F) (= (tptp.k7_qc_lang2 B C D) E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.k8_qc_lang1) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_qc_lang1 tptp.k2_qc_lang1) (=> (= (tptp.k9_qc_lang2 A B C D) (tptp.k7_qc_lang2 F G E)) (and (= A F) (= B G) (= (tptp.k5_qc_lang2 C D) E))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_qc_lang2 A B C D))) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (and (tptp.v5_qc_lang1 _let_1) (= (tptp.k20_qc_lang1 _let_1) A) (= (tptp.k21_qc_lang1 _let_1) (tptp.k6_qc_lang2 B C D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.v1_qc_lang2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.k8_qc_lang1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= A (tptp.k3_qc_lang2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.v2_qc_lang2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.k8_qc_lang1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= A (tptp.k2_qc_lang2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.v3_qc_lang2 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.k8_qc_lang1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= A (tptp.k4_qc_lang2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.v4_qc_lang2 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= A (tptp.k5_qc_lang2 B C))))))))) true true true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.k8_qc_lang1) (and (tptp.v4_qc_lang2 (tptp.k7_qc_lang2 A B D)) (tptp.v4_qc_lang2 (tptp.k9_qc_lang2 A B C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.k10_qc_lang2 A) (tptp.k17_qc_lang1 (tptp.k18_qc_lang1 (tptp.k17_qc_lang1 A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.k11_qc_lang2 A) (tptp.k17_qc_lang1 (tptp.k19_qc_lang1 (tptp.k17_qc_lang1 A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.k12_qc_lang2 A) (tptp.k18_qc_lang1 (tptp.k17_qc_lang1 A))))) true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.k13_qc_lang2 A) (tptp.k12_qc_lang2 (tptp.k18_qc_lang1 A))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.k14_qc_lang2 A) (tptp.k11_qc_lang2 (tptp.k18_qc_lang1 A))))) true true true true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_qc_lang2 A B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (and (= (tptp.k10_qc_lang2 _let_1) A) (= (tptp.k11_qc_lang2 _let_1) B) (= (tptp.k17_qc_lang1 _let_1) (tptp.k13_qc_lang1 (tptp.k12_qc_lang1 A) (tptp.k12_qc_lang1 B))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_qc_lang2 A B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (and (= (tptp.k12_qc_lang2 _let_1) A) (= (tptp.k11_qc_lang2 _let_1) B) (= (tptp.k17_qc_lang1 _let_1) (tptp.k13_qc_lang1 A (tptp.k12_qc_lang1 B))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_qc_lang2 A B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (and (= (tptp.k13_qc_lang2 _let_1) A) (= (tptp.k14_qc_lang2 _let_1) B) (= (tptp.k18_qc_lang1 _let_1) (tptp.k2_qc_lang2 A B)) (= (tptp.k19_qc_lang1 _let_1) (tptp.k2_qc_lang2 B A)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k17_qc_lang1 (tptp.k5_qc_lang2 A B)) (tptp.k14_qc_lang1 A (tptp.k12_qc_lang1 B))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k17_qc_lang1 A))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v1_qc_lang2 A) (and (tptp.v2_qc_lang2 A) (tptp.v3_qc_lang1 A) (tptp.v4_qc_lang1 _let_1) (tptp.v3_qc_lang1 (tptp.k18_qc_lang1 _let_1)) (tptp.v3_qc_lang1 (tptp.k19_qc_lang1 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k17_qc_lang1 A))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v2_qc_lang2 A) (and (tptp.v3_qc_lang1 A) (tptp.v4_qc_lang1 _let_1) (tptp.v3_qc_lang1 (tptp.k19_qc_lang1 _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v3_qc_lang2 A) (and (tptp.v4_qc_lang1 A) (tptp.v2_qc_lang2 (tptp.k18_qc_lang1 A)) (tptp.v2_qc_lang2 (tptp.k19_qc_lang1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k17_qc_lang1 A))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v4_qc_lang2 A) (and (tptp.v3_qc_lang1 A) (tptp.v5_qc_lang1 _let_1) (tptp.v3_qc_lang1 (tptp.k21_qc_lang1 _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v1_qc_lang2 A) (= A (tptp.k3_qc_lang2 (tptp.k10_qc_lang2 A) (tptp.k11_qc_lang2 A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v2_qc_lang2 A) (= A (tptp.k2_qc_lang2 (tptp.k12_qc_lang2 A) (tptp.k11_qc_lang2 A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v3_qc_lang2 A) (= A (tptp.k4_qc_lang2 (tptp.k13_qc_lang2 A) (tptp.k14_qc_lang2 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k17_qc_lang1 A))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v4_qc_lang2 A) (= A (tptp.k5_qc_lang2 (tptp.k20_qc_lang1 _let_1) (tptp.k17_qc_lang1 (tptp.k21_qc_lang1 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.r1_qc_lang2 A B) (not (and (not (= B (tptp.k12_qc_lang1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (and (not (= B (tptp.k13_qc_lang1 A C))) (not (= B (tptp.k13_qc_lang1 C A)))))) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (not (= B (tptp.k14_qc_lang1 C A)))))))))))) true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (not (tptp.r1_qc_lang2 A tptp.k11_qc_lang1)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k5_qc_lang1 (tptp.k7_qc_lang1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_qc_lang1 D B) (not (tptp.r1_qc_lang2 A (tptp.k9_qc_lang1 C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.r1_qc_lang2 A (tptp.k12_qc_lang1 B)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.r1_qc_lang2 A tptp.k1_qc_lang2) (= A tptp.k11_qc_lang1)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= (tptp.r1_qc_lang2 A (tptp.k13_qc_lang1 B C)) (or (= A B) (= A C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (= (tptp.r1_qc_lang2 A (tptp.k14_qc_lang1 C B)) (= A B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (not (and (tptp.v2_qc_lang1 A) (tptp.r1_qc_lang2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.v3_qc_lang1 A) (= (tptp.r1_qc_lang2 B A) (= B (tptp.k17_qc_lang1 A)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.v4_qc_lang1 A) (= (tptp.r1_qc_lang2 B A) (or (= B (tptp.k18_qc_lang1 A)) (= B (tptp.k19_qc_lang1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.v5_qc_lang1 A) (= (tptp.r1_qc_lang2 B A) (= B (tptp.k21_qc_lang1 A)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.r2_qc_lang2 A B) (exists ((C $$unsorted)) (and (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (exists ((D $$unsorted)) (and (tptp.v1_relat_1 D) (tptp.v1_funct_1 D) (tptp.v1_finseq_1 D) (tptp.r1_xreal_0 tptp.np__1 C) (= (tptp.k3_finseq_1 D) C) (= (tptp.k1_funct_1 D tptp.np__1) A) (= (tptp.k1_funct_1 D C) B) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (not (and (tptp.r1_xreal_0 tptp.np__1 E) (not (tptp.r1_xreal_0 C E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.k8_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G tptp.k8_qc_lang1) (not (and (= (tptp.k1_funct_1 D E) F) (= (tptp.k1_funct_1 D (tptp.k1_nat_1 E tptp.np__1)) G) (tptp.r1_qc_lang2 F G)))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.r3_qc_lang2 A B) (and (tptp.r2_qc_lang2 A B) (not (= A B)))))))) true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (not (and (tptp.r1_qc_lang2 A B) (tptp.r1_xreal_0 (tptp.k3_finseq_1 (tptp.k10_qc_lang1 B)) (tptp.k3_finseq_1 (tptp.k10_qc_lang1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.r1_qc_lang2 A B) (tptp.r2_qc_lang2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.r1_qc_lang2 A B) (tptp.r3_qc_lang2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (not (and (tptp.r3_qc_lang2 A B) (tptp.r1_xreal_0 (tptp.k3_finseq_1 (tptp.k10_qc_lang1 B)) (tptp.k3_finseq_1 (tptp.k10_qc_lang1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (not (and (tptp.r3_qc_lang2 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (not (tptp.r1_qc_lang2 C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (=> (and (tptp.r3_qc_lang2 A B) (tptp.r3_qc_lang2 B C)) (tptp.r3_qc_lang2 A C)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (=> (and (tptp.r2_qc_lang2 A B) (tptp.r2_qc_lang2 B C)) (tptp.r2_qc_lang2 A C)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (and (tptp.r2_qc_lang2 A B) (tptp.r2_qc_lang2 B A)) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (not (and (tptp.r3_qc_lang2 A B) (tptp.r2_qc_lang2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (not (and (tptp.r3_qc_lang2 A B) (tptp.r3_qc_lang2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (not (and (tptp.r2_qc_lang2 A B) (tptp.r1_qc_lang2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (not (and (tptp.r3_qc_lang2 A B) (tptp.r1_qc_lang2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.r3_qc_lang2 B C))) (let ((_let_2 (tptp.r1_qc_lang2 A B))) (let ((_let_3 (tptp.r1_qc_lang2 B C))) (let ((_let_4 (tptp.r3_qc_lang2 A B))) (let ((_let_5 (tptp.r2_qc_lang2 B C))) (let ((_let_6 (tptp.r2_qc_lang2 A B))) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (=> (not (and (not (and _let_4 _let_5)) (not (and _let_6 _let_1)) (not (and _let_6 _let_3)) (not (and _let_2 _let_5)) (not (and _let_4 _let_3)) (not (and _let_2 _let_1)))) (tptp.r3_qc_lang2 A C)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (not (tptp.r3_qc_lang2 A tptp.k11_qc_lang1)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k5_qc_lang1 (tptp.k7_qc_lang1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_qc_lang1 D B) (not (tptp.r3_qc_lang2 A (tptp.k9_qc_lang1 C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.r2_qc_lang2 A B) (tptp.r3_qc_lang2 A (tptp.k12_qc_lang1 B))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.r2_qc_lang2 (tptp.k12_qc_lang1 A) B) (tptp.r3_qc_lang2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.r3_qc_lang2 A tptp.k1_qc_lang2) (tptp.r2_qc_lang2 A tptp.k11_qc_lang1)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= (or (tptp.r2_qc_lang2 A B) (tptp.r2_qc_lang2 A C)) (tptp.r3_qc_lang2 A (tptp.k13_qc_lang1 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (=> (tptp.r2_qc_lang2 (tptp.k13_qc_lang1 A B) C) (and (tptp.r3_qc_lang2 A C) (tptp.r3_qc_lang2 B C))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (= (tptp.r2_qc_lang2 A B) (tptp.r3_qc_lang2 A (tptp.k14_qc_lang1 C B))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (=> (tptp.r2_qc_lang2 (tptp.k14_qc_lang1 C A) B) (tptp.r3_qc_lang2 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_qc_lang2 A B))) (let ((_let_2 (tptp.k12_qc_lang1 B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (and (tptp.r3_qc_lang2 (tptp.k13_qc_lang1 A _let_2) _let_1) (tptp.r3_qc_lang2 A _let_1) (tptp.r3_qc_lang2 _let_2 _let_1) (tptp.r3_qc_lang2 B _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_qc_lang2 A B))) (let ((_let_2 (tptp.k12_qc_lang1 B))) (let ((_let_3 (tptp.k12_qc_lang1 A))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (and (tptp.r3_qc_lang2 (tptp.k13_qc_lang1 _let_3 _let_2) _let_1) (tptp.r3_qc_lang2 _let_3 _let_1) (tptp.r3_qc_lang2 _let_2 _let_1) (tptp.r3_qc_lang2 A _let_1) (tptp.r3_qc_lang2 B _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (not (and (tptp.v2_qc_lang1 A) (tptp.r3_qc_lang2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v3_qc_lang1 A) (tptp.r3_qc_lang2 (tptp.k17_qc_lang1 A) A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v4_qc_lang1 A) (and (tptp.r3_qc_lang2 (tptp.k18_qc_lang1 A) A) (tptp.r3_qc_lang2 (tptp.k19_qc_lang1 A) A))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v5_qc_lang1 A) (tptp.r3_qc_lang2 (tptp.k21_qc_lang1 A) A)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.r2_qc_lang2 A tptp.k11_qc_lang1) (= A tptp.k11_qc_lang1)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k5_qc_lang1 (tptp.k7_qc_lang1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k9_qc_lang1 C D))) (=> (tptp.m1_qc_lang1 D B) (= (tptp.r2_qc_lang2 A _let_1) (= A _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.r2_qc_lang2 A tptp.k1_qc_lang2) (or (= A tptp.k1_qc_lang2) (= A tptp.k11_qc_lang1))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (= (= B (tptp.k15_qc_lang2 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D tptp.k8_qc_lang1) (= D C) (tptp.r2_qc_lang2 D A))))))))) true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.r2_hidden A (tptp.k15_qc_lang2 B)) (tptp.r2_qc_lang2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.r2_qc_lang2 A B) (tptp.r1_tarski (tptp.k15_qc_lang2 A) (tptp.k15_qc_lang2 B))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k15_qc_lang2 B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.r2_hidden A _let_1) (tptp.r1_tarski (tptp.k15_qc_lang2 A) _let_1))))))) true (= (tptp.k15_qc_lang2 tptp.k11_qc_lang1) (tptp.k1_tarski tptp.k11_qc_lang1)) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k5_qc_lang1 (tptp.k7_qc_lang1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_qc_lang1 B C))) (=> (tptp.m1_qc_lang1 C A) (= (tptp.k15_qc_lang2 _let_1) (tptp.k1_tarski _let_1))))))))) (= (tptp.k15_qc_lang2 tptp.k1_qc_lang2) (tptp.k2_tarski tptp.k11_qc_lang1 tptp.k1_qc_lang2)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_qc_lang1 A))) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.k15_qc_lang2 _let_1) (tptp.k2_xboole_0 (tptp.k15_qc_lang2 A) (tptp.k1_tarski _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k13_qc_lang1 A B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k15_qc_lang2 _let_1) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k15_qc_lang2 A) (tptp.k15_qc_lang2 B)) (tptp.k1_tarski _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k14_qc_lang1 B A))) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (= (tptp.k15_qc_lang2 _let_1) (tptp.k2_xboole_0 (tptp.k15_qc_lang2 A) (tptp.k1_tarski _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_qc_lang2 A B))) (let ((_let_2 (tptp.k12_qc_lang1 B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k15_qc_lang2 _let_1) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k15_qc_lang2 A) (tptp.k15_qc_lang2 B)) (tptp.k1_enumset1 _let_2 (tptp.k13_qc_lang1 A _let_2) _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_qc_lang2 A B))) (let ((_let_2 (tptp.k12_qc_lang1 B))) (let ((_let_3 (tptp.k12_qc_lang1 A))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k15_qc_lang2 _let_1) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k15_qc_lang2 A) (tptp.k15_qc_lang2 B)) (tptp.k2_enumset1 _let_2 _let_3 (tptp.k13_qc_lang1 _let_3 _let_2) _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_qc_lang2 A B))) (let ((_let_2 (tptp.k12_qc_lang1 A))) (let ((_let_3 (tptp.k12_qc_lang1 B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k15_qc_lang2 _let_1) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k15_qc_lang2 A) (tptp.k15_qc_lang2 B)) (tptp.k5_enumset1 _let_3 (tptp.k13_qc_lang1 A _let_3) (tptp.k2_qc_lang2 A B) _let_2 (tptp.k13_qc_lang1 B _let_2) (tptp.k2_qc_lang2 B A) _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (or (= A tptp.k11_qc_lang1) (tptp.v2_qc_lang1 A)) (= (tptp.k15_qc_lang2 A) (tptp.k1_tarski A))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v3_qc_lang1 A) (= (tptp.k15_qc_lang2 A) (tptp.k2_xboole_0 (tptp.k15_qc_lang2 (tptp.k17_qc_lang1 A)) (tptp.k1_tarski A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v4_qc_lang1 A) (= (tptp.k15_qc_lang2 A) (tptp.k2_xboole_0 (tptp.k2_xboole_0 (tptp.k15_qc_lang2 (tptp.k18_qc_lang1 A)) (tptp.k15_qc_lang2 (tptp.k19_qc_lang1 A))) (tptp.k1_tarski A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (=> (tptp.v5_qc_lang1 A) (= (tptp.k15_qc_lang2 A) (tptp.k2_xboole_0 (tptp.k15_qc_lang2 (tptp.k21_qc_lang1 A)) (tptp.k1_tarski A)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k15_qc_lang2 C))) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (=> (tptp.r2_hidden B _let_1) (or (and (not (tptp.r1_qc_lang2 A B)) (not (tptp.r3_qc_lang2 A B)) (not (tptp.r2_qc_lang2 A B))) (tptp.r2_hidden A _let_1)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 B tptp.k8_qc_lang1)) (tptp.r2_qc_lang2 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 B tptp.k8_qc_lang1)) (not (tptp.r3_qc_lang2 A A)))) (tptp.m1_subset_1 tptp.k1_qc_lang2 tptp.k8_qc_lang1) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 B tptp.k8_qc_lang1)) (tptp.m1_subset_1 (tptp.k2_qc_lang2 A B) tptp.k8_qc_lang1))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 B tptp.k8_qc_lang1)) (tptp.m1_subset_1 (tptp.k3_qc_lang2 A B) tptp.k8_qc_lang1))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 B tptp.k8_qc_lang1)) (tptp.m1_subset_1 (tptp.k4_qc_lang2 A B) tptp.k8_qc_lang1))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 B tptp.k8_qc_lang1)) (tptp.m1_subset_1 (tptp.k5_qc_lang2 A B) tptp.k8_qc_lang1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 B tptp.k2_qc_lang1) (tptp.m1_subset_1 C tptp.k8_qc_lang1)) (tptp.m1_subset_1 (tptp.k6_qc_lang2 A B C) tptp.k8_qc_lang1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 B tptp.k2_qc_lang1) (tptp.m1_subset_1 C tptp.k8_qc_lang1)) (tptp.m1_subset_1 (tptp.k7_qc_lang2 A B C) tptp.k8_qc_lang1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 B tptp.k2_qc_lang1) (tptp.m1_subset_1 C tptp.k2_qc_lang1) (tptp.m1_subset_1 D tptp.k8_qc_lang1)) (tptp.m1_subset_1 (tptp.k8_qc_lang2 A B C D) tptp.k8_qc_lang1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 B tptp.k2_qc_lang1) (tptp.m1_subset_1 C tptp.k2_qc_lang1) (tptp.m1_subset_1 D tptp.k8_qc_lang1)) (tptp.m1_subset_1 (tptp.k9_qc_lang2 A B C D) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k10_qc_lang2 A) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k11_qc_lang2 A) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k12_qc_lang2 A) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k13_qc_lang2 A) tptp.k8_qc_lang1))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 (tptp.k14_qc_lang2 A) tptp.k8_qc_lang1))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_cqc_lang A B))) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1)))) (not (tptp.v1_xboole_0 tptp.k7_cqc_lang)) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k5_numbers) (exists ((B $$unsorted)) (and (tptp.m1_qc_lang1 B A) (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B) (tptp.v1_cqc_lang B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_cqc_lang A B C D))) (let ((_let_2 (= A B))) (and (=> _let_2 (= _let_1 C)) (=> (not _let_2) (= _let_1 D)))))) _let_45 true true true true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_cqc_lang A B))) (and (= (tptp.k1_relat_1 _let_1) (tptp.k1_tarski A)) (= (tptp.k2_relat_1 _let_1) (tptp.k1_tarski B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.k1_funct_1 (tptp.k3_cqc_lang A B) A) B)) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.k1_qc_lang1) (not (and (not (tptp.r2_hidden A tptp.k3_qc_lang1)) (not (tptp.r2_hidden A tptp.k4_qc_lang1)) (not (tptp.r2_hidden A tptp.k2_qc_lang1)))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_qc_lang1) (forall ((B $$unsorted)) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B tptp.k4_qc_lang1 tptp.k1_qc_lang1)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C tptp.k1_qc_lang1) (= (= C (tptp.k4_cqc_lang A B)) (and (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 A D))) (let ((_let_2 (tptp.k1_funct_1 C D))) (let ((_let_3 (tptp.r2_hidden _let_1 (tptp.k1_relat_1 B)))) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 D) (tptp.r1_xreal_0 D (tptp.k3_finseq_1 A))) (and (=> _let_3 (= _let_2 (tptp.k1_funct_1 B _let_1))) (=> (not _let_3) (= _let_2 _let_1))))))))))))))))) true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_cqc_lang B A))) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k4_qc_lang1) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 tptp.k4_qc_lang1 tptp.k1_qc_lang1))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k4_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D tptp.k1_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m2_finseq_1 E tptp.k1_qc_lang1) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 E A))) (let ((_let_2 (tptp.k1_funct_1 D A))) (let ((_let_3 (= _let_1 C))) (=> (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F tptp.k4_qc_lang1 tptp.k1_qc_lang1)) (=> (and (= F (tptp.k6_cqc_lang C B)) (= D (tptp.k4_cqc_lang E F)) (tptp.r1_xreal_0 tptp.np__1 A) (tptp.r1_xreal_0 A (tptp.k3_finseq_1 E))) (and (=> _let_3 (= _let_2 B)) (=> (not _let_3) (= _let_2 _let_1))))))))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (and (= (tptp.k6_qc_lang3 A) tptp.k1_xboole_0) (= (tptp.k5_qc_lang3 A) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_qc_lang1 B A) (= (tptp.v1_cqc_lang B A) (tptp.r1_tarski (tptp.k2_relat_1 B) tptp.k2_qc_lang1)))))) true (tptp.m2_subset_1 tptp.k11_qc_lang1 tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (= (tptp.m2_subset_1 (tptp.k12_qc_lang1 A) tptp.k8_qc_lang1 tptp.k7_cqc_lang) (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.m2_subset_1 (tptp.k13_qc_lang1 A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang) (and (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang) (tptp.m2_subset_1 (tptp.k2_qc_lang2 A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang) (tptp.m2_subset_1 (tptp.k3_qc_lang2 A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang) (tptp.m2_subset_1 (tptp.k4_qc_lang2 A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.m2_subset_1 (tptp.k14_qc_lang1 A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang) (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang) (tptp.m2_subset_1 (tptp.k5_qc_lang2 A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k8_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= (= C (tptp.k17_cqc_lang A B)) (exists ((D $$unsorted)) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k8_qc_lang1 tptp.k8_qc_lang1) (tptp.m2_relset_1 D tptp.k8_qc_lang1 tptp.k8_qc_lang1) (= C (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.k8_qc_lang1 D A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k20_qc_lang1 E))) (let ((_let_2 (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.k8_qc_lang1 D E))) (=> (tptp.m1_subset_1 E tptp.k8_qc_lang1) (and (= (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.k8_qc_lang1 D tptp.k9_cqc_lang) tptp.k9_cqc_lang) (=> (tptp.v2_qc_lang1 E) (= _let_2 (tptp.k9_qc_lang1 (tptp.k15_qc_lang1 E) (tptp.k4_cqc_lang (tptp.k16_qc_lang1 E) (tptp.k6_cqc_lang (tptp.k3_qc_lang3 tptp.np__0) B))))) (=> (tptp.v3_qc_lang1 E) (= _let_2 (tptp.k12_qc_lang1 (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.k8_qc_lang1 D (tptp.k17_qc_lang1 E))))) (=> (tptp.v4_qc_lang1 E) (= _let_2 (tptp.k13_qc_lang1 (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.k8_qc_lang1 D (tptp.k18_qc_lang1 E)) (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.k8_qc_lang1 D (tptp.k19_qc_lang1 E))))) (=> (tptp.v5_qc_lang1 E) (= _let_2 (tptp.k2_cqc_lang tptp.k8_qc_lang1 _let_1 B E (tptp.k14_qc_lang1 _let_1 (tptp.k8_funct_2 tptp.k8_qc_lang1 tptp.k8_qc_lang1 D (tptp.k21_qc_lang1 E)))))))))))))))))))) true true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (= (tptp.k17_cqc_lang tptp.k9_cqc_lang A) tptp.k9_cqc_lang))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.v2_qc_lang1 B) (= (tptp.k17_cqc_lang B A) (tptp.k9_qc_lang1 (tptp.k15_qc_lang1 B) (tptp.k4_cqc_lang (tptp.k16_qc_lang1 B) (tptp.k6_cqc_lang (tptp.k3_qc_lang3 tptp.np__0) A))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k5_qc_lang1 (tptp.k7_qc_lang1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_qc_lang1 D A) (= (tptp.k17_cqc_lang (tptp.k9_qc_lang1 C D) B) (tptp.k9_qc_lang1 C (tptp.k5_cqc_lang A D (tptp.k6_cqc_lang (tptp.k3_qc_lang3 tptp.np__0) B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.v3_qc_lang1 B) (= (tptp.k17_cqc_lang B A) (tptp.k12_qc_lang1 (tptp.k17_cqc_lang (tptp.k17_qc_lang1 B) A)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k17_cqc_lang (tptp.k12_qc_lang1 B) A) (tptp.k12_qc_lang1 (tptp.k17_cqc_lang B A))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.v4_qc_lang1 B) (= (tptp.k17_cqc_lang B A) (tptp.k13_qc_lang1 (tptp.k17_cqc_lang (tptp.k18_qc_lang1 B) A) (tptp.k17_cqc_lang (tptp.k19_qc_lang1 B) A)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (= (tptp.k17_cqc_lang (tptp.k13_qc_lang1 B C) A) (tptp.k13_qc_lang1 (tptp.k17_cqc_lang B A) (tptp.k17_cqc_lang C A))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (and (tptp.v5_qc_lang1 B) (= (tptp.k20_qc_lang1 B) A)) (= (tptp.k17_cqc_lang B A) B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k20_qc_lang1 B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (tptp.v5_qc_lang1 B) (or (= _let_1 A) (= (tptp.k17_cqc_lang B A) (tptp.k14_qc_lang1 _let_1 (tptp.k17_cqc_lang (tptp.k21_qc_lang1 B) A)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k14_qc_lang1 A B))) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k17_cqc_lang _let_1 A) _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k8_qc_lang1) (=> (not (= A B)) (= (tptp.k17_cqc_lang (tptp.k14_qc_lang1 A C) B) (tptp.k14_qc_lang1 A (tptp.k17_cqc_lang C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (=> (= (tptp.k5_qc_lang3 B) tptp.k1_xboole_0) (= (tptp.k17_cqc_lang B A) B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang) (= (tptp.k17_cqc_lang B A) B))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= (tptp.k6_qc_lang3 (tptp.k17_cqc_lang B A)) (tptp.k6_qc_lang3 B)))))) _let_44 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_binop_1 (tptp.k9_funct_2 A B C) A B) C)) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (and (tptp.v1_cqc_lang E D) (tptp.m1_qc_lang1 E D)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.p1_s1_cqc_lang A))) (=> (tptp.m2_subset_1 F tptp.k5_qc_lang1 (tptp.k7_qc_lang1 D)) (and (tptp.p1_s1_cqc_lang tptp.k9_cqc_lang) (tptp.p1_s1_cqc_lang (tptp.k8_cqc_lang D F E)) (=> _let_1 (tptp.p1_s1_cqc_lang (tptp.k10_cqc_lang A))) (=> (and _let_1 (tptp.p1_s1_cqc_lang B)) (tptp.p1_s1_cqc_lang (tptp.k11_cqc_lang A B))) (=> _let_1 (tptp.p1_s1_cqc_lang (tptp.k15_cqc_lang C A))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (tptp.p1_s1_cqc_lang A)))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.v1_funct_2 A tptp.k7_cqc_lang tptp.f1_s2_cqc_lang) (tptp.m2_relset_1 A tptp.k7_cqc_lang tptp.f1_s2_cqc_lang) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s2_cqc_lang A tptp.k9_cqc_lang) tptp.f2_s2_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (and (tptp.v1_cqc_lang F E) (tptp.m1_qc_lang1 F E)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s2_cqc_lang A B))) (=> (tptp.m2_subset_1 G tptp.k5_qc_lang1 (tptp.k7_qc_lang1 E)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s2_cqc_lang A (tptp.k8_cqc_lang E G F)) (tptp.f3_s2_cqc_lang E G F)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s2_cqc_lang A (tptp.k10_cqc_lang B)) (tptp.f4_s2_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s2_cqc_lang A (tptp.k11_cqc_lang B C)) (tptp.f5_s2_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s2_cqc_lang A C))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s2_cqc_lang A (tptp.k15_cqc_lang D B)) (tptp.f6_s2_cqc_lang D _let_1)))))))))))))))))) (=> (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f2_s3_cqc_lang tptp.k9_cqc_lang) tptp.f4_s3_cqc_lang) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (and (tptp.v1_cqc_lang E D) (tptp.m1_qc_lang1 E D)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f2_s3_cqc_lang A))) (=> (tptp.m2_subset_1 F tptp.k5_qc_lang1 (tptp.k7_qc_lang1 D)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f2_s3_cqc_lang (tptp.k8_cqc_lang D F E)) (tptp.f5_s3_cqc_lang D F E)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f2_s3_cqc_lang (tptp.k10_cqc_lang A)) (tptp.f6_s3_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f2_s3_cqc_lang (tptp.k11_cqc_lang A B)) (tptp.f7_s3_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f2_s3_cqc_lang B))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f2_s3_cqc_lang (tptp.k15_cqc_lang C A)) (tptp.f8_s3_cqc_lang C _let_1)))))))))))))))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f3_s3_cqc_lang tptp.k9_cqc_lang) tptp.f4_s3_cqc_lang) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (and (tptp.v1_cqc_lang E D) (tptp.m1_qc_lang1 E D)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f3_s3_cqc_lang A))) (=> (tptp.m2_subset_1 F tptp.k5_qc_lang1 (tptp.k7_qc_lang1 D)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f3_s3_cqc_lang (tptp.k8_cqc_lang D F E)) (tptp.f5_s3_cqc_lang D F E)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f3_s3_cqc_lang (tptp.k10_cqc_lang A)) (tptp.f6_s3_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f3_s3_cqc_lang (tptp.k11_cqc_lang A B)) (tptp.f7_s3_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f3_s3_cqc_lang B))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s3_cqc_lang tptp.f3_s3_cqc_lang (tptp.k15_cqc_lang C A)) (tptp.f8_s3_cqc_lang C _let_1))))))))))))))))) (= tptp.f2_s3_cqc_lang tptp.f3_s3_cqc_lang)) (and (exists ((A $$unsorted)) (and (tptp.m1_subset_1 A tptp.f1_s4_cqc_lang) (exists ((B $$unsorted)) (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B tptp.k7_cqc_lang tptp.f1_s4_cqc_lang) (tptp.m2_relset_1 B tptp.k7_cqc_lang tptp.f1_s4_cqc_lang) (= A (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang B tptp.f2_s4_cqc_lang)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang B tptp.k9_cqc_lang) tptp.f3_s4_cqc_lang) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_numbers tptp.k5_numbers) (forall ((G $$unsorted)) (=> (and (tptp.v1_cqc_lang G F) (tptp.m1_qc_lang1 G F)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang B C))) (=> (tptp.m2_subset_1 H tptp.k5_qc_lang1 (tptp.k7_qc_lang1 F)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang B (tptp.k8_cqc_lang F H G)) (tptp.f4_s4_cqc_lang F H G)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang B (tptp.k10_cqc_lang C)) (tptp.f5_s4_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang B (tptp.k11_cqc_lang C D)) (tptp.f6_s4_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang B D))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang B (tptp.k15_cqc_lang E C)) (tptp.f7_s4_cqc_lang E _let_1)))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s4_cqc_lang) (not (and (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k7_cqc_lang tptp.f1_s4_cqc_lang) (tptp.m2_relset_1 C tptp.k7_cqc_lang tptp.f1_s4_cqc_lang) (= A (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C tptp.f2_s4_cqc_lang)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C tptp.k9_cqc_lang) tptp.f3_s4_cqc_lang) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (forall ((H $$unsorted)) (=> (and (tptp.v1_cqc_lang H G) (tptp.m1_qc_lang1 H G)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C D))) (=> (tptp.m2_subset_1 I tptp.k5_qc_lang1 (tptp.k7_qc_lang1 G)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C (tptp.k8_cqc_lang G I H)) (tptp.f4_s4_cqc_lang G I H)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C (tptp.k10_cqc_lang D)) (tptp.f5_s4_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C (tptp.k11_cqc_lang D E)) (tptp.f6_s4_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C E))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C (tptp.k15_cqc_lang F D)) (tptp.f7_s4_cqc_lang F _let_1)))))))))))))))))) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k7_cqc_lang tptp.f1_s4_cqc_lang) (tptp.m2_relset_1 C tptp.k7_cqc_lang tptp.f1_s4_cqc_lang) (= B (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C tptp.f2_s4_cqc_lang)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C tptp.k9_cqc_lang) tptp.f3_s4_cqc_lang) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (forall ((H $$unsorted)) (=> (and (tptp.v1_cqc_lang H G) (tptp.m1_qc_lang1 H G)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C D))) (=> (tptp.m2_subset_1 I tptp.k5_qc_lang1 (tptp.k7_qc_lang1 G)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C (tptp.k8_cqc_lang G I H)) (tptp.f4_s4_cqc_lang G I H)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C (tptp.k10_cqc_lang D)) (tptp.f5_s4_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C (tptp.k11_cqc_lang D E)) (tptp.f6_s4_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C E))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s4_cqc_lang C (tptp.k15_cqc_lang F D)) (tptp.f7_s4_cqc_lang F _let_1)))))))))))))))))) (not (= A B))))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s5_cqc_lang) (= (= B (tptp.f2_s5_cqc_lang A)) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k7_cqc_lang tptp.f1_s5_cqc_lang) (tptp.m2_relset_1 C tptp.k7_cqc_lang tptp.f1_s5_cqc_lang) (= B (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s5_cqc_lang C A)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s5_cqc_lang C tptp.k9_cqc_lang) tptp.f3_s5_cqc_lang) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (forall ((H $$unsorted)) (=> (and (tptp.v1_cqc_lang H G) (tptp.m1_qc_lang1 H G)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s5_cqc_lang C D))) (=> (tptp.m2_subset_1 I tptp.k5_qc_lang1 (tptp.k7_qc_lang1 G)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s5_cqc_lang C (tptp.k8_cqc_lang G I H)) (tptp.f4_s5_cqc_lang G I H)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s5_cqc_lang C (tptp.k10_cqc_lang D)) (tptp.f5_s5_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s5_cqc_lang C (tptp.k11_cqc_lang D E)) (tptp.f6_s5_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s5_cqc_lang C E))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s5_cqc_lang C (tptp.k15_cqc_lang F D)) (tptp.f7_s5_cqc_lang F _let_1))))))))))))))))))))))) (= (tptp.f2_s5_cqc_lang tptp.k9_cqc_lang) tptp.f3_s5_cqc_lang)) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s6_cqc_lang) (= (= B (tptp.f3_s6_cqc_lang A)) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k7_cqc_lang tptp.f1_s6_cqc_lang) (tptp.m2_relset_1 C tptp.k7_cqc_lang tptp.f1_s6_cqc_lang) (= B (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s6_cqc_lang C A)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s6_cqc_lang C tptp.k9_cqc_lang) tptp.f2_s6_cqc_lang) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (forall ((H $$unsorted)) (=> (and (tptp.v1_cqc_lang H G) (tptp.m1_qc_lang1 H G)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s6_cqc_lang C D))) (=> (tptp.m2_subset_1 I tptp.k5_qc_lang1 (tptp.k7_qc_lang1 G)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s6_cqc_lang C (tptp.k8_cqc_lang G I H)) (tptp.f4_s6_cqc_lang G I H)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s6_cqc_lang C (tptp.k10_cqc_lang D)) (tptp.f8_s6_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s6_cqc_lang C (tptp.k11_cqc_lang D E)) (tptp.f9_s6_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s6_cqc_lang C E))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s6_cqc_lang C (tptp.k15_cqc_lang F D)) (tptp.f10_s6_cqc_lang F _let_1))))))))))))))))))))))) (= (tptp.f3_s6_cqc_lang (tptp.k8_cqc_lang tptp.f5_s6_cqc_lang tptp.f6_s6_cqc_lang tptp.f7_s6_cqc_lang)) (tptp.f4_s6_cqc_lang tptp.f5_s6_cqc_lang tptp.f6_s6_cqc_lang tptp.f7_s6_cqc_lang))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s7_cqc_lang) (= (= B (tptp.f2_s7_cqc_lang A)) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k7_cqc_lang tptp.f1_s7_cqc_lang) (tptp.m2_relset_1 C tptp.k7_cqc_lang tptp.f1_s7_cqc_lang) (= B (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s7_cqc_lang C A)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s7_cqc_lang C tptp.k9_cqc_lang) tptp.f3_s7_cqc_lang) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (forall ((H $$unsorted)) (=> (and (tptp.v1_cqc_lang H G) (tptp.m1_qc_lang1 H G)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s7_cqc_lang C D))) (=> (tptp.m2_subset_1 I tptp.k5_qc_lang1 (tptp.k7_qc_lang1 G)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s7_cqc_lang C (tptp.k8_cqc_lang G I H)) (tptp.f4_s7_cqc_lang G I H)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s7_cqc_lang C (tptp.k10_cqc_lang D)) (tptp.f5_s7_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s7_cqc_lang C (tptp.k11_cqc_lang D E)) (tptp.f7_s7_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s7_cqc_lang C E))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s7_cqc_lang C (tptp.k15_cqc_lang F D)) (tptp.f8_s7_cqc_lang F _let_1))))))))))))))))))))))) (= (tptp.f2_s7_cqc_lang (tptp.k10_cqc_lang tptp.f6_s7_cqc_lang)) (tptp.f5_s7_cqc_lang (tptp.f2_s7_cqc_lang tptp.f6_s7_cqc_lang)))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s8_cqc_lang) (= (= B (tptp.f2_s8_cqc_lang A)) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k7_cqc_lang tptp.f1_s8_cqc_lang) (tptp.m2_relset_1 C tptp.k7_cqc_lang tptp.f1_s8_cqc_lang) (= B (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s8_cqc_lang C A)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s8_cqc_lang C tptp.k9_cqc_lang) tptp.f3_s8_cqc_lang) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (forall ((H $$unsorted)) (=> (and (tptp.v1_cqc_lang H G) (tptp.m1_qc_lang1 H G)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s8_cqc_lang C D))) (=> (tptp.m2_subset_1 I tptp.k5_qc_lang1 (tptp.k7_qc_lang1 G)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s8_cqc_lang C (tptp.k8_cqc_lang G I H)) (tptp.f4_s8_cqc_lang G I H)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s8_cqc_lang C (tptp.k10_cqc_lang D)) (tptp.f5_s8_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s8_cqc_lang C (tptp.k11_cqc_lang D E)) (tptp.f6_s8_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s8_cqc_lang C E))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s8_cqc_lang C (tptp.k15_cqc_lang F D)) (tptp.f9_s8_cqc_lang F _let_1))))))))))))))))))))))) (= (tptp.f2_s8_cqc_lang (tptp.k11_cqc_lang tptp.f7_s8_cqc_lang tptp.f8_s8_cqc_lang)) (tptp.f6_s8_cqc_lang (tptp.f2_s8_cqc_lang tptp.f7_s8_cqc_lang) (tptp.f2_s8_cqc_lang tptp.f8_s8_cqc_lang)))) (=> (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s9_cqc_lang) (= (= B (tptp.f2_s9_cqc_lang A)) (exists ((C $$unsorted)) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C tptp.k7_cqc_lang tptp.f1_s9_cqc_lang) (tptp.m2_relset_1 C tptp.k7_cqc_lang tptp.f1_s9_cqc_lang) (= B (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s9_cqc_lang C A)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s9_cqc_lang C tptp.k9_cqc_lang) tptp.f3_s9_cqc_lang) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k8_qc_lang1 tptp.k7_cqc_lang) (forall ((F $$unsorted)) (=> (tptp.m2_subset_1 F tptp.k1_qc_lang1 tptp.k2_qc_lang1) (forall ((G $$unsorted)) (=> (tptp.m2_subset_1 G tptp.k1_numbers tptp.k5_numbers) (forall ((H $$unsorted)) (=> (and (tptp.v1_cqc_lang H G) (tptp.m1_qc_lang1 H G)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s9_cqc_lang C D))) (=> (tptp.m2_subset_1 I tptp.k5_qc_lang1 (tptp.k7_qc_lang1 G)) (and (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s9_cqc_lang C (tptp.k8_cqc_lang G I H)) (tptp.f4_s9_cqc_lang G I H)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s9_cqc_lang C (tptp.k10_cqc_lang D)) (tptp.f5_s9_cqc_lang _let_1)) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s9_cqc_lang C (tptp.k11_cqc_lang D E)) (tptp.f6_s9_cqc_lang _let_1 (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s9_cqc_lang C E))) (= (tptp.k8_funct_2 tptp.k7_cqc_lang tptp.f1_s9_cqc_lang C (tptp.k15_cqc_lang F D)) (tptp.f7_s9_cqc_lang F _let_1))))))))))))))))))))))) (= (tptp.f2_s9_cqc_lang (tptp.k15_cqc_lang tptp.f8_s9_cqc_lang tptp.f9_s9_cqc_lang)) (tptp.f7_s9_cqc_lang tptp.f8_s9_cqc_lang (tptp.f2_s9_cqc_lang tptp.f9_s9_cqc_lang)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (tptp.m1_subset_1 (tptp.k2_cqc_lang A B C D E) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (= (tptp.k2_cqc_lang A B C D E) (tptp.k1_cqc_lang B C D E)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_finseq_1 A tptp.k1_qc_lang1) (tptp.v1_funct_1 B) (tptp.m1_relset_1 B tptp.k4_qc_lang1 tptp.k1_qc_lang1)) (tptp.m2_finseq_1 (tptp.k4_cqc_lang A B) tptp.k1_qc_lang1))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_qc_lang1 B A) (tptp.v1_funct_1 C) (tptp.m1_relset_1 C tptp.k4_qc_lang1 tptp.k1_qc_lang1)) (tptp.m1_qc_lang1 (tptp.k5_cqc_lang A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_qc_lang1 B A) (tptp.v1_funct_1 C) (tptp.m1_relset_1 C tptp.k4_qc_lang1 tptp.k1_qc_lang1)) (= (tptp.k5_cqc_lang A B C) (tptp.k4_cqc_lang B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_cqc_lang A B))) (=> (and (tptp.m1_subset_1 A tptp.k4_qc_lang1) (tptp.m1_subset_1 B tptp.k2_qc_lang1)) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 tptp.k4_qc_lang1 tptp.k1_qc_lang1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k4_qc_lang1) (tptp.m1_subset_1 B tptp.k2_qc_lang1)) (= (tptp.k6_cqc_lang A B) (tptp.k3_cqc_lang A B)))) (tptp.m1_subset_1 tptp.k7_cqc_lang (tptp.k1_zfmisc_1 tptp.k8_qc_lang1)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B (tptp.k7_qc_lang1 A)) (tptp.v1_cqc_lang C A) (tptp.m1_qc_lang1 C A)) (tptp.m2_subset_1 (tptp.k8_cqc_lang A B C) tptp.k8_qc_lang1 tptp.k7_cqc_lang))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B (tptp.k7_qc_lang1 A)) (tptp.v1_cqc_lang C A) (tptp.m1_qc_lang1 C A)) (= (tptp.k8_cqc_lang A B C) (tptp.k9_qc_lang1 B C)))) (tptp.m2_subset_1 tptp.k9_cqc_lang tptp.k8_qc_lang1 tptp.k7_cqc_lang) _let_43 (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k7_cqc_lang) (tptp.m2_subset_1 (tptp.k10_cqc_lang A) tptp.k8_qc_lang1 tptp.k7_cqc_lang))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k7_cqc_lang) (= (tptp.k10_cqc_lang A) (tptp.k12_qc_lang1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k7_cqc_lang) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (tptp.m2_subset_1 (tptp.k11_cqc_lang A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k7_cqc_lang) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (= (tptp.k11_cqc_lang A B) (tptp.k13_qc_lang1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k7_cqc_lang) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (tptp.m2_subset_1 (tptp.k12_cqc_lang A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k7_cqc_lang) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (= (tptp.k12_cqc_lang A B) (tptp.k2_qc_lang2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k7_cqc_lang) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (tptp.m2_subset_1 (tptp.k13_cqc_lang A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k7_cqc_lang) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (= (tptp.k13_cqc_lang A B) (tptp.k3_qc_lang2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k7_cqc_lang) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (tptp.m2_subset_1 (tptp.k14_cqc_lang A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k7_cqc_lang) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (= (tptp.k14_cqc_lang A B) (tptp.k4_qc_lang2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (tptp.m2_subset_1 (tptp.k15_cqc_lang A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (= (tptp.k15_cqc_lang A B) (tptp.k14_qc_lang1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (tptp.m2_subset_1 (tptp.k16_cqc_lang A B) tptp.k8_qc_lang1 tptp.k7_cqc_lang))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k2_qc_lang1) (tptp.m1_subset_1 B tptp.k7_cqc_lang)) (= (tptp.k16_cqc_lang A B) (tptp.k5_qc_lang2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k8_qc_lang1) (tptp.m1_subset_1 B tptp.k2_qc_lang1)) (tptp.m1_subset_1 (tptp.k17_cqc_lang A B) tptp.k8_qc_lang1))) _let_42 (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.m1_qc_lang1 B A))) (=> _let_1 (= (and (tptp.v1_cqc_lang B A) _let_1) (and (= (tptp.a_2_0_cqc_lang A B) tptp.k1_xboole_0) (= (tptp.a_2_1_cqc_lang A B) tptp.k1_xboole_0)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k5_qc_lang1 (tptp.k7_qc_lang1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_qc_lang1 C A) (= (tptp.m2_subset_1 (tptp.k9_qc_lang1 B C) tptp.k8_qc_lang1 tptp.k7_cqc_lang) (and (= (tptp.a_2_0_cqc_lang A C) tptp.k1_xboole_0) (= (tptp.a_2_1_cqc_lang A C) tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_cqc_lang) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B tptp.k8_qc_lang1) (= A B) (= (tptp.k6_qc_lang3 B) tptp.k1_xboole_0) (= (tptp.k5_qc_lang3 B) tptp.k1_xboole_0))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.m1_qc_lang1 C B)) (= (tptp.r2_hidden A (tptp.a_2_0_cqc_lang B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C D))) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= A _let_1) (tptp.r1_xreal_0 tptp.np__1 D) (tptp.r1_xreal_0 D (tptp.k3_finseq_1 C)) (tptp.r2_hidden _let_1 tptp.k4_qc_lang1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.m1_qc_lang1 C B)) (= (tptp.r2_hidden A (tptp.a_2_1_cqc_lang B C)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k1_funct_1 C D))) (and (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= A _let_1) (tptp.r1_xreal_0 tptp.np__1 D) (tptp.r1_xreal_0 D (tptp.k3_finseq_1 C)) (tptp.r2_hidden _let_1 tptp.k3_qc_lang1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_relat_1 A) (tptp.v1_relat_1 (tptp.k1_realset1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_realset1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v1_realset1 A))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_realset1 A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (not (tptp.v1_xboole_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_finset_1 _let_1) (tptp.v1_realset1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_realset1 A)) (tptp.m4_realset1 B A)) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A B))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (exists ((B $$unsorted)) (and (tptp.m4_realset1 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k1_funct_1 C B) A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 C C)) (tptp.r2_hidden (tptp.k1_funct_1 B D) C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.r1_realset1 A B C) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 C C)) (tptp.r2_hidden (tptp.k1_funct_1 B D) C))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (= (tptp.m1_realset1 C A B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 C C)) (tptp.r2_hidden (tptp.k1_funct_1 B D) C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (= (tptp.k1_realset1 A B) (tptp.k7_relat_1 A (tptp.k2_zfmisc_1 B B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C C))) (let ((_let_2 (tptp.k1_realset1 B C))) (=> (tptp.m1_realset1 C A B) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C))))))))) _let_41 (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (= (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (not (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))))) (tptp.v1_realset1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))))) (not (tptp.v1_realset1 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (let ((_let_2 (tptp.k4_xboole_0 A _let_1))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_2))) (let ((_let_4 (tptp.k4_xboole_0 (tptp.k1_realset1 B A) _let_1))) (=> (tptp.m1_subset_1 C A) (= (tptp.r2_realset1 A B C) (and (tptp.m1_realset1 _let_2 A B) (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_2) (tptp.m2_relset_1 _let_4 _let_3 _let_2)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 B B)) (tptp.r2_hidden (tptp.k1_funct_1 C D) B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.m2_realset1 C A B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 B B)) (tptp.r2_hidden (tptp.k1_funct_1 C D) B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k1_realset1 C B))) (=> (tptp.m2_realset1 C A B) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 B) (tptp.m2_relset_1 _let_2 _let_1 B)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_realset1 C A B) (= (tptp.k3_realset1 A B C) (tptp.k1_realset1 C B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 _let_1 _let_1)) (tptp.r2_hidden (tptp.k1_funct_1 C D) _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.m3_realset1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))) (=> (tptp.r2_hidden D (tptp.k2_zfmisc_1 _let_1 _let_1)) (tptp.r2_hidden (tptp.k1_funct_1 C D) _let_1)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k1_realset1 C _let_1))) (=> (tptp.m3_realset1 C A B) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m3_realset1 C A B) (= (tptp.k4_realset1 A B C) (tptp.k1_realset1 C (tptp.k4_xboole_0 A (tptp.k1_tarski B)))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (= (tptp.m4_realset1 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (= B (tptp.k1_tarski C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (=> (tptp.m4_realset1 B A) (not (tptp.v1_xboole_0 (tptp.k4_xboole_0 A B))))))) (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (= (tptp.v1_realset1 A) (not (tptp.r1_xreal_0 tptp.np__2 (tptp.k4_card_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_realset1 A))) (and (not (and (not _let_1) (forall ((B $$unsorted) (C $$unsorted)) (not (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (= B C))))))) (not (and (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.r2_hidden B A) (tptp.r2_hidden C A) (not (= B C)))) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.v1_realset1 B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (and (not (and (not _let_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (not (and (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)))))))))) (not (and (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C A) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D A) (tptp.r2_hidden C B) (tptp.r2_hidden D B) (not (= C D)))))) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_realset1 C A B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (exists ((C $$unsorted)) (tptp.m1_realset1 C A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (tptp.m2_realset1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (exists ((C $$unsorted)) (tptp.m2_realset1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (tptp.m3_realset1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (exists ((C $$unsorted)) (tptp.m3_realset1 C A B)))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (exists ((B $$unsorted)) (tptp.m4_realset1 B A)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C C))) (let ((_let_2 (tptp.k2_realset1 A B C))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_3 A) (tptp.m1_relset_1 B _let_3 A) (tptp.m1_realset1 C A B)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 C) (tptp.m2_relset_1 _let_2 _let_1 C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_realset1 C A B)) (= (tptp.k2_realset1 A B C) (tptp.k1_realset1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k3_realset1 A B C))) (=> (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (tptp.m2_realset1 C A B)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 B) (tptp.m2_relset_1 _let_2 _let_1 B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_xboole_0 A (tptp.k1_tarski B)))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k4_realset1 A B C))) (=> (and (not (tptp.v1_realset1 A)) (tptp.m1_subset_1 B A) (tptp.m3_realset1 C A B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_realset1 A)) (tptp.m1_subset_1 B A)) (tptp.m4_realset1 (tptp.k5_realset1 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_realset1 A)) (tptp.m1_subset_1 B A)) (= (tptp.k5_realset1 A B) (tptp.k1_tarski B)))) (and _let_40 _let_39 _let_38 _let_37 (not (tptp.v1_finset_1 tptp.k5_ordinal2)) _let_36 _let_35 _let_34 _let_33 _let_32) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (tptp.v1_finset_1 (tptp.k1_card_1 A)))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (tptp.r2_hidden (tptp.k1_card_1 A) (tptp.k3_card_1 tptp.np__0)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (=> (tptp.v1_finset_1 A) (and (tptp.r2_hidden _let_1 (tptp.k3_card_1 tptp.np__0)) (tptp.r2_hidden _let_1 tptp.k5_ordinal2))))) (forall ((A $$unsorted)) (= (tptp.v1_finset_1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.k4_xboole_0 (tptp.k1_ordinal1 A) (tptp.k1_tarski A)) A))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (=> (tptp.r2_wellord2 B A) (= B A)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.v1_finset_1 A) (tptp.r2_hidden A tptp.k5_ordinal2)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (not (tptp.v1_finset_1 A)) (tptp.r1_ordinal1 tptp.k5_ordinal2 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (= (tptp.v1_finset_1 A) (tptp.r2_hidden A (tptp.k3_card_1 tptp.np__0))))) true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (= (not (tptp.v1_finset_1 A)) (tptp.r1_ordinal1 (tptp.k3_card_1 tptp.np__0) A)))) true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.v1_finset_1 A) (or (tptp.v1_finset_1 B) (and (tptp.r2_hidden A B) (tptp.r1_tarski A B)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v1_finset_1 A))) (and (not (and (not _let_1) (forall ((B $$unsorted)) (not (and (tptp.r1_tarski B A) (= (tptp.k1_card_1 B) (tptp.k3_card_1 tptp.np__0))))))) (not (and (exists ((B $$unsorted)) (and (tptp.r1_tarski B A) (= (tptp.k1_card_1 B) (tptp.k3_card_1 tptp.np__0)))) _let_1))))) (not (tptp.v1_finset_1 tptp.k5_numbers)) true (forall ((A $$unsorted)) (= (= A tptp.k1_xboole_0) (= (tptp.k1_card_1 A) tptp.np__0))) true (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (tptp.r1_tarski tptp.np__0 A))) (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.k1_card_1 A) (tptp.k1_card_1 B)) (= (tptp.k2_card_1 A) (tptp.k2_card_1 B)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (= A B) (= (tptp.k2_card_1 B) (tptp.k2_card_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (tptp.r2_hidden A B) (tptp.r1_tarski (tptp.k2_card_1 A) B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (= (tptp.r2_hidden A (tptp.k2_card_1 B)) (tptp.r1_tarski A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (= (tptp.r2_hidden tptp.np__0 A) (tptp.r1_tarski tptp.np__1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (= (tptp.r2_hidden tptp.np__1 A) (tptp.r1_tarski tptp.np__2 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.v1_finset_1 A) (or (and (not (tptp.r1_tarski B A)) (not (tptp.r2_hidden B A))) (tptp.v1_finset_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (= (tptp.v4_ordinal1 A) (forall ((B $$unsorted)) (=> (tptp.v3_ordinal1 B) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden B A) (tptp.r2_hidden (tptp.k14_ordinal2 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k14_ordinal2 (tptp.k1_ordinal1 B) A))) (=> (tptp.v3_ordinal1 B) (and (= (tptp.k14_ordinal2 B (tptp.k1_ordinal1 A)) _let_1) (= (tptp.k14_ordinal2 B (tptp.k1_nat_1 A tptp.np__1)) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k15_ordinal2 A (tptp.k1_ordinal1 tptp.k4_ordinal2)) (tptp.k14_ordinal2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.v4_ordinal1 A) (= (tptp.k15_ordinal2 A (tptp.k1_ordinal1 tptp.k4_ordinal2)) A)))) (forall ((A $$unsorted)) (=> (tptp.v3_ordinal1 A) (=> (tptp.r1_ordinal1 tptp.k5_ordinal2 A) (= (tptp.k14_ordinal2 tptp.k4_ordinal2 A) A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (=> (not (tptp.v1_finset_1 A)) (tptp.v4_ordinal1 A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (=> (not (tptp.v1_finset_1 A)) (= (tptp.k1_card_2 A A) A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (not (and (not (tptp.v1_finset_1 A)) (or (tptp.r1_tarski B A) (tptp.r2_hidden B A)) (not (and (= (tptp.k1_card_2 A B) A) (= (tptp.k1_card_2 B A) A))))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (not (and (not (tptp.v1_finset_1 A)) (or (tptp.r2_wellord2 A B) (tptp.r2_wellord2 B A)) (not (and (tptp.r2_wellord2 _let_1 A) (= (tptp.k1_card_1 _let_1) (tptp.k1_card_1 A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_xboole_0 A B))) (=> (tptp.v1_finset_1 B) (or (tptp.v1_finset_1 A) (and (tptp.r2_wellord2 _let_1 A) (= (tptp.k1_card_1 _let_1) (tptp.k1_card_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (let ((_let_2 (tptp.k2_xboole_0 A B))) (let ((_let_3 (tptp.k1_card_1 B))) (not (and (not (tptp.v1_finset_1 A)) (or (tptp.r2_hidden _let_3 _let_1) (tptp.r1_tarski _let_3 _let_1)) (not (and (tptp.r2_wellord2 _let_2 A) (= (tptp.k1_card_1 _let_2) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_card_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.v1_card_1 B)) (tptp.v1_finset_1 (tptp.k1_card_2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (not (tptp.v1_finset_1 A)) (and (not (tptp.v1_finset_1 (tptp.k1_card_2 A B))) (not (tptp.v1_finset_1 (tptp.k1_card_2 B A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_finset_1 A) (tptp.v1_card_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_finset_1 B) (tptp.v1_card_1 B)) (tptp.v1_finset_1 (tptp.k2_card_2 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_card_2 B D))) (let ((_let_2 (tptp.r1_tarski C D))) (let ((_let_3 (tptp.r1_tarski A B))) (let ((_let_4 (tptp.r2_hidden A B))) (let ((_let_5 (tptp.r2_hidden C D))) (=> (tptp.v1_card_1 D) (=> (not (and (not (and _let_4 _let_5)) (not (and _let_3 _let_5)) (not (and _let_4 _let_2)) (not (and _let_3 _let_2)))) (and (tptp.r1_tarski (tptp.k1_card_2 A C) _let_1) (tptp.r1_tarski (tptp.k1_card_2 C A) _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_card_2 B C))) (let ((_let_2 (tptp.k1_card_2 A C))) (let ((_let_3 (tptp.k1_card_2 C B))) (let ((_let_4 (tptp.k1_card_2 C A))) (=> (tptp.v1_card_1 C) (=> (or (tptp.r2_hidden A B) (tptp.r1_tarski A B)) (and (tptp.r1_tarski _let_4 _let_3) (tptp.r1_tarski _let_4 _let_1) (tptp.r1_tarski _let_2 _let_3) (tptp.r1_tarski _let_2 _let_1))))))))))))) _let_31 (forall ((A $$unsorted)) (=> (tptp.v1_finset_1 A) (tptp.v1_card_4 A))) (and (tptp.v1_card_4 tptp.k5_ordinal2) (tptp.v1_card_4 tptp.k5_numbers)) (forall ((A $$unsorted)) (= (tptp.v1_card_4 A) (exists ((B $$unsorted)) (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (= (tptp.k1_relat_1 B) tptp.k5_numbers) (tptp.r1_tarski A (tptp.k2_relat_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r1_tarski A B) (tptp.v1_card_4 B)) (tptp.v1_card_4 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_card_4 A) (tptp.v1_card_4 B)) (tptp.v1_card_4 (tptp.k2_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_4 A) (and (tptp.v1_card_4 (tptp.k3_xboole_0 A B)) (tptp.v1_card_4 (tptp.k3_xboole_0 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_4 A) (tptp.v1_card_4 (tptp.k4_xboole_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_card_4 A) (tptp.v1_card_4 B)) (tptp.v1_card_4 (tptp.k5_xboole_0 A B)))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (not (= A tptp.np__0)))) (let ((_let_2 (= B tptp.np__0))) (let ((_let_3 (= (tptp.k3_newton B A) tptp.np__0))) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (and (not (and (not (and _let_2 _let_1)) _let_3)) (not (and (not _let_3) _let_2 _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (= (tptp.k2_nat_1 (tptp.k1_card_4 tptp.np__2 A) (tptp.k1_nat_1 (tptp.k2_nat_1 tptp.np__2 B) tptp.np__1)) (tptp.k2_nat_1 (tptp.k1_card_4 tptp.np__2 C) (tptp.k1_nat_1 (tptp.k2_nat_1 tptp.np__2 D) tptp.np__1))) (and (= A C) (= B D))))))))))) (and (tptp.r2_wellord2 _let_29 tptp.k5_numbers) (= _let_30 (tptp.k1_card_1 _let_29))) (= (tptp.k2_card_2 _let_28 _let_28) _let_28) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_card_4 A) (tptp.v1_card_4 B)) (tptp.v1_card_4 (tptp.k2_zfmisc_1 A B)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_finseq_2 tptp.np__1 A))) (=> (not (tptp.v1_xboole_0 A)) (and (tptp.r2_wellord2 _let_1 A) (= (tptp.k1_card_1 _let_1) (tptp.k1_card_1 A)))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_finseq_2 (tptp.k1_nat_1 B C) A))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.k4_finseq_2 B A) (tptp.k4_finseq_2 C A)))) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (and (tptp.r2_wellord2 _let_2 _let_1) (= (tptp.k1_card_1 _let_2) (tptp.k1_card_1 _let_1))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.v1_card_4 A) (tptp.v1_card_4 (tptp.k4_finseq_2 B A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k1_card_1 (tptp.k1_relat_1 C)) A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k1_relat_1 C)) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k1_funct_1 C D)) B)))) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k3_card_3 C)) (tptp.k2_card_2 A B))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (=> (and (tptp.r1_tarski (tptp.k1_card_1 A) B) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D A) (tptp.r1_tarski (tptp.k1_card_1 D) C)))) (tptp.r1_tarski (tptp.k1_card_1 (tptp.k3_tarski A)) (tptp.k2_card_2 B C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (and (tptp.v1_card_4 (tptp.k1_relat_1 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v1_card_4 (tptp.k1_funct_1 A B))))) (tptp.v1_card_4 (tptp.k3_card_3 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_card_4 A) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B A) (tptp.v1_card_4 B)))) (tptp.v1_card_4 (tptp.k3_tarski A)))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (=> (and (tptp.v1_finset_1 (tptp.k1_relat_1 A)) (forall ((B $$unsorted)) (=> (tptp.r2_hidden B (tptp.k1_relat_1 A)) (tptp.v1_finset_1 (tptp.k1_funct_1 A B))))) (tptp.v1_finset_1 (tptp.k3_card_3 A))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (tptp.v1_card_4 A) (tptp.v1_card_4 (tptp.k3_finseq_2 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (tptp.r1_tarski (tptp.k3_card_1 tptp.np__0) (tptp.k1_card_1 (tptp.k3_finseq_2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_card_1 tptp.np__0))) (let ((_let_2 (tptp.k1_card_1 A))) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (and (tptp.r1_tarski (tptp.k2_card_2 _let_1 _let_2) _let_1) (tptp.r1_tarski (tptp.k2_card_2 _let_2 _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_card_2 B D))) (let ((_let_2 (tptp.r1_tarski C D))) (let ((_let_3 (tptp.r1_tarski A B))) (let ((_let_4 (tptp.r2_hidden A B))) (let ((_let_5 (tptp.r2_hidden C D))) (=> (tptp.v1_card_1 D) (=> (not (and (not (and _let_4 _let_5)) (not (and _let_3 _let_5)) (not (and _let_4 _let_2)) (not (and _let_3 _let_2)))) (and (tptp.r1_tarski (tptp.k2_card_2 A C) _let_1) (tptp.r1_tarski (tptp.k2_card_2 C A) _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_card_2 B C))) (let ((_let_2 (tptp.k2_card_2 A C))) (let ((_let_3 (tptp.k2_card_2 C B))) (let ((_let_4 (tptp.k2_card_2 C A))) (=> (tptp.v1_card_1 C) (=> (or (tptp.r2_hidden A B) (tptp.r1_tarski A B)) (and (tptp.r1_tarski _let_4 _let_3) (tptp.r1_tarski _let_4 _let_1) (tptp.r1_tarski _let_2 _let_3) (tptp.r1_tarski _let_2 _let_1))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.r1_tarski C D))) (let ((_let_2 (tptp.r1_tarski A B))) (let ((_let_3 (tptp.r2_hidden A B))) (let ((_let_4 (tptp.r2_hidden C D))) (=> (tptp.v1_card_1 D) (not (and (not (and (not (and _let_3 _let_4)) (not (and _let_2 _let_4)) (not (and _let_3 _let_1)) (not (and _let_2 _let_1)))) (not (= A tptp.np__0)) (not (tptp.r1_tarski (tptp.k3_card_2 A C) (tptp.k3_card_2 B D))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (not (and (or (tptp.r2_hidden A B) (tptp.r1_tarski A B)) (not (= C tptp.np__0)) (not (and (tptp.r1_tarski (tptp.k3_card_2 C A) (tptp.k3_card_2 C B)) (tptp.r1_tarski (tptp.k3_card_2 A C) (tptp.k3_card_2 B C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_card_2 A B))) (=> (tptp.v1_card_1 B) (and (tptp.r1_tarski A _let_1) (tptp.r1_tarski B _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (not (= A tptp.np__0)) (and (tptp.r1_tarski B (tptp.k2_card_2 B A)) (tptp.r1_tarski B (tptp.k2_card_2 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_card_2 B D))) (=> (tptp.v1_card_1 D) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C D)) (and (tptp.r2_hidden (tptp.k1_card_2 A C) _let_1) (tptp.r2_hidden (tptp.k1_card_2 C A) _let_1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (=> (tptp.r2_hidden (tptp.k1_card_2 A B) (tptp.k1_card_2 A C)) (tptp.r2_hidden B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (let ((_let_2 (tptp.k1_card_1 B))) (=> (and (= (tptp.k1_card_2 _let_1 _let_2) _let_1) (tptp.r2_hidden _let_2 _let_1)) (= (tptp.k1_card_1 (tptp.k4_xboole_0 A B)) _let_1))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (=> (not (tptp.v1_finset_1 A)) (= (tptp.k2_card_2 A A) A)))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (=> (tptp.r2_hidden tptp.np__0 B) (or (tptp.v1_finset_1 A) (and (not (tptp.r1_tarski B A)) (not (tptp.r2_hidden B A))) (and (= (tptp.k2_card_2 A B) A) (= (tptp.k2_card_2 B A) A)))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (not (and (not (tptp.v1_finset_1 A)) (or (tptp.r1_tarski B A) (tptp.r2_hidden B A)) (not (and (tptp.r1_tarski (tptp.k2_card_2 A B) A) (tptp.r1_tarski (tptp.k2_card_2 B A) A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (not (tptp.v1_finset_1 A)) (and (tptp.r2_wellord2 _let_1 A) (= (tptp.k1_card_1 _let_1) (tptp.k1_card_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (tptp.v1_finset_1 B) (or (tptp.v1_finset_1 A) (= B tptp.k1_xboole_0) (and (tptp.r2_wellord2 _let_1 A) (= (tptp.k1_card_1 _let_1) (tptp.k1_card_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_card_2 B D))) (=> (tptp.v1_card_1 D) (=> (and (tptp.r2_hidden A B) (tptp.r2_hidden C D)) (and (tptp.r2_hidden (tptp.k2_card_2 A C) _let_1) (tptp.r2_hidden (tptp.k2_card_2 C A) _let_1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_card_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_card_1 B) (forall ((C $$unsorted)) (=> (tptp.v1_card_1 C) (=> (tptp.r2_hidden (tptp.k2_card_2 A B) (tptp.k2_card_2 A C)) (tptp.r2_hidden B C)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_card_1 A))) (=> (not (tptp.v1_finset_1 A)) (= _let_1 (tptp.k2_card_2 (tptp.k3_card_1 tptp.np__0) _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_card_1 B))) (=> (tptp.v1_finset_1 A) (or (= A tptp.k1_xboole_0) (tptp.v1_finset_1 B) (= (tptp.k2_card_2 _let_1 (tptp.k1_card_1 A)) _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_finseq_2 B A))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (not (and (not (tptp.v1_finset_1 A)) (not (= B tptp.np__0)) (not (and (tptp.r2_wellord2 _let_1 A) (= (tptp.k1_card_1 _let_1) (tptp.k1_card_1 A))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (=> (not (tptp.v1_finset_1 A)) (= (tptp.k1_card_1 A) (tptp.k1_card_1 (tptp.k3_finseq_2 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (tptp.m2_subset_1 (tptp.k1_card_4 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.m1_subset_1 A tptp.k5_numbers) (tptp.m1_subset_1 B tptp.k5_numbers)) (= (tptp.k1_card_4 A B) (tptp.k2_newton A B)))) (tptp.v1_card_4 tptp.a_0_0_card_4) (tptp.v1_card_4 tptp.a_0_1_card_4) (tptp.v1_card_4 tptp.a_0_2_card_4) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_0_card_4) (exists ((B $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= A (tptp.f1_s1_card_4 B)) (tptp.p1_s1_card_4 B))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_1_card_4) (exists ((B $$unsorted) (C $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= A (tptp.f1_s2_card_4 B C)) (tptp.p1_s2_card_4 B C))))) (forall ((A $$unsorted)) (= (tptp.r2_hidden A tptp.a_0_2_card_4) (exists ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (and (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= A (tptp.f1_s3_card_4 B C D)) (tptp.p1_s3_card_4 B C D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k7_relat_1 A B))) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 B)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1) (tptp.v1_finset_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.m1_finseq_1 A tptp.k1_numbers) (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A) (tptp.v1_finseq_1 A) (tptp.v1_rfinseq A))) (forall ((A $$unsorted)) (=> (tptp.v1_relat_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (= (tptp.r1_rfinseq A B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_tarski C))) (= (tptp.k1_card_1 (tptp.k10_relat_1 A _let_1)) (tptp.k1_card_1 (tptp.k10_relat_1 B _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_rfinseq A B) (= (tptp.k2_relat_1 A) (tptp.k2_relat_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_rfinseq A B) (tptp.r1_rfinseq A C)) (tptp.r1_rfinseq B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_rfinseq A B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (= (tptp.k1_relat_1 C) (tptp.k1_relat_1 A)) (= (tptp.k2_relat_1 C) (tptp.k1_relat_1 B)) (tptp.v2_funct_1 C) (= A (tptp.k5_relat_1 C B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (= (tptp.r1_rfinseq A B) (forall ((C $$unsorted)) (= (tptp.k1_card_1 (tptp.k10_relat_1 A C)) (tptp.k1_card_1 (tptp.k10_relat_1 B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 B) A) (tptp.r1_tarski (tptp.k2_relat_1 C) A)) (= (tptp.r1_rfinseq B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski D))) (=> (tptp.m1_subset_1 D A) (= (tptp.k1_card_1 (tptp.k10_relat_1 B _let_1)) (tptp.k1_card_1 (tptp.k10_relat_1 C _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (= (tptp.k1_relat_1 A) (tptp.k1_relat_1 B)) (= (tptp.r1_rfinseq A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v3_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1) (= A (tptp.k5_relat_1 C B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_rfinseq A B) (= (tptp.k1_card_1 (tptp.k1_relat_1 A)) (tptp.k1_card_1 (tptp.k1_relat_1 B)))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B)) (= (tptp.r1_rfinseq A B) (forall ((C $$unsorted)) (= (tptp.k4_card_1 (tptp.k10_relat_1 A C)) (tptp.k4_card_1 (tptp.k10_relat_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finset_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B)) (=> (tptp.r1_rfinseq A B) (= (tptp.k4_card_1 (tptp.k1_relat_1 A)) (tptp.k4_card_1 (tptp.k1_relat_1 B)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finset_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finset_1 C)) (=> (and (tptp.r1_tarski (tptp.k2_relat_1 B) A) (tptp.r1_tarski (tptp.k2_relat_1 C) A)) (= (tptp.r1_rfinseq B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_tarski D))) (=> (tptp.m1_subset_1 D A) (= (tptp.k4_card_1 (tptp.k10_relat_1 B _let_1)) (tptp.k4_card_1 (tptp.k10_relat_1 C _let_1)))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.r1_rfinseq A B) (forall ((C $$unsorted)) (= (tptp.k4_card_1 (tptp.k10_relat_1 A C)) (tptp.k4_card_1 (tptp.k10_relat_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C)) (= (tptp.r1_rfinseq A B) (tptp.r1_rfinseq (tptp.k7_finseq_1 A C) (tptp.k7_finseq_1 B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (tptp.r1_rfinseq (tptp.k7_finseq_1 A B) (tptp.k7_finseq_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (=> (tptp.r1_rfinseq A B) (and (= (tptp.k3_finseq_1 A) (tptp.k3_finseq_1 B)) (= (tptp.k4_finseq_1 A) (tptp.k4_finseq_1 B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A) (tptp.v1_finseq_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B) (tptp.v1_finseq_1 B)) (= (tptp.r1_rfinseq A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 B))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.v3_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1) (= A (tptp.k5_relat_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (tptp.v1_finset_1 B) (exists ((C $$unsorted)) (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_finseq_1 C) (tptp.r1_rfinseq (tptp.k7_relat_1 A B) C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (let ((_let_1 (= D (tptp.k1_rfinseq A B C)))) (let ((_let_2 (tptp.k3_finseq_1 B))) (let ((_let_3 (tptp.r1_xreal_0 C _let_2))) (=> (tptp.m2_finseq_1 D A) (and (=> _let_3 (= _let_1 (and (= (tptp.k3_finseq_1 D) (tptp.k5_real_1 _let_2 C)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r2_hidden E (tptp.k4_finseq_1 D)) (= (tptp.k1_funct_1 D E) (tptp.k1_funct_1 B (tptp.k1_nat_1 E C))))))))) (=> (not _let_3) (= _let_1 (= D (tptp.k6_finseq_1 A)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 B))) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r2_hidden C _let_1) (tptp.r2_hidden D (tptp.k2_finseq_1 C))) (and (= (tptp.k1_funct_1 (tptp.k16_finseq_1 A B C) D) (tptp.k1_funct_1 B D)) (tptp.r2_hidden D _let_1)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 C tptp.np__1))) (=> (and (= (tptp.k3_finseq_1 B) _let_1) (= D (tptp.k1_funct_1 B _let_1))) (= B (tptp.k7_finseq_1 (tptp.k16_finseq_1 A B C) (tptp.k9_finseq_1 D)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (= (tptp.k8_finseq_1 A (tptp.k16_finseq_1 A B C) (tptp.k1_rfinseq A B C)) B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B tptp.k1_numbers) (=> (tptp.r1_rfinseq A B) (= (tptp.k15_rvsum_1 A) (tptp.k15_rvsum_1 B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 A))) (let ((_let_2 (tptp.k3_finseq_1 B))) (=> (tptp.m2_finseq_1 B tptp.k1_numbers) (= (= B (tptp.k2_rfinseq A)) (and (= _let_2 _let_1) (= (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers B _let_2) (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A _let_1)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r1_xreal_0 tptp.np__1 C) (tptp.r1_xreal_0 C (tptp.k5_real_1 (tptp.k3_finseq_1 B) tptp.np__1))) (= (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers B C) (tptp.k5_real_1 (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A C) (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A (tptp.k1_nat_1 C tptp.np__1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 C tptp.np__1))) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (= (tptp.k3_finseq_1 A) (tptp.k1_nat_1 C tptp.np__2)) (= (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A _let_1) B)) (= (tptp.k2_rfinseq (tptp.k16_finseq_1 tptp.k1_numbers A _let_1)) (tptp.k8_finseq_1 tptp.k1_numbers (tptp.k16_finseq_1 tptp.k1_numbers (tptp.k2_rfinseq A) C) (tptp.k12_finseq_1 tptp.k1_numbers B))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rfinseq A))) (let ((_let_2 (tptp.k1_nat_1 D tptp.np__2))) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (= (tptp.k3_finseq_1 A) _let_2) (= (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A (tptp.k1_nat_1 D tptp.np__1)) B) (= (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A _let_2) C)) (= _let_1 (tptp.k8_finseq_1 tptp.k1_numbers (tptp.k16_finseq_1 tptp.k1_numbers _let_1 D) (tptp.k2_finseq_4 tptp.k1_numbers (tptp.k5_real_1 B C) C)))))))))))))) (= (tptp.k2_rfinseq _let_27) _let_27) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_finseq_1 tptp.k1_numbers A))) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (= (tptp.k2_rfinseq _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.k2_rfinseq (tptp.k2_finseq_4 tptp.k1_numbers A B)) (tptp.k2_finseq_4 tptp.k1_numbers (tptp.k5_real_1 A B) B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (tptp.k1_rfinseq tptp.k1_numbers (tptp.k2_rfinseq A) B) (tptp.k2_rfinseq (tptp.k1_rfinseq tptp.k1_numbers A B))))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (=> (not (= (tptp.k3_finseq_1 A) tptp.np__0)) (= (tptp.k15_rvsum_1 (tptp.k2_rfinseq A)) (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A tptp.np__1))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (tptp.r1_xreal_0 tptp.np__1 B) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 A) B) (= (tptp.k15_rvsum_1 (tptp.k2_rfinseq (tptp.k1_rfinseq tptp.k1_numbers A B))) (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A (tptp.k1_nat_1 B tptp.np__1))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (= (tptp.v1_rfinseq A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_nat_1 B tptp.np__1))) (let ((_let_2 (tptp.k4_finseq_1 A))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r2_hidden B _let_2) (tptp.r2_hidden _let_1 _let_2)) (tptp.r1_xreal_0 (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A _let_1) (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A B)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 A))) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (=> (or (= _let_1 tptp.np__0) (= _let_1 tptp.np__1)) (tptp.v1_rfinseq A))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (= (tptp.v1_rfinseq A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_finseq_1 A))) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (or (tptp.r1_xreal_0 C B) (tptp.r1_xreal_0 (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A C) (tptp.k2_seq_1 tptp.k5_numbers tptp.k1_numbers A B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_rfinseq A) (tptp.m2_finseq_1 A tptp.k1_numbers)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k16_finseq_1 tptp.k1_numbers A B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (and (tptp.v1_rfinseq _let_1) (tptp.m2_finseq_1 _let_1 tptp.k1_numbers))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_rfinseq A) (tptp.m2_finseq_1 A tptp.k1_numbers)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rfinseq tptp.k1_numbers A B))) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (and (tptp.v1_rfinseq _let_1) (tptp.m2_finseq_1 _let_1 tptp.k1_numbers))))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (exists ((B $$unsorted)) (and (tptp.v1_rfinseq B) (tptp.m2_finseq_1 B tptp.k1_numbers) (tptp.r1_rfinseq A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_rfinseq A) (tptp.m2_finseq_1 A tptp.k1_numbers)) (forall ((B $$unsorted)) (=> (and (tptp.v1_rfinseq B) (tptp.m2_finseq_1 B tptp.k1_numbers)) (=> (tptp.r1_rfinseq A B) (= A B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (=> (not (= B tptp.np__0)) (= (tptp.k3_funct_2 tptp.k5_numbers tptp.k1_numbers A (tptp.k1_tarski (tptp.k6_real_1 C B))) (tptp.k3_funct_2 tptp.k5_numbers tptp.k1_numbers (tptp.k9_rvsum_1 B A) (tptp.k1_tarski C)))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_finseq_1 A tptp.k1_numbers) (= (tptp.k3_funct_2 tptp.k5_numbers tptp.k1_numbers (tptp.k9_rvsum_1 tptp.np__0 A) (tptp.k1_tarski tptp.np__0)) (tptp.k4_finseq_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (=> (tptp.r1_rfinseq A B) (tptp.r1_rfinseq B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_relat_1 B)) (tptp.r1_rfinseq A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.m1_finseq_1 B A) (tptp.m1_subset_1 C tptp.k5_numbers)) (tptp.m2_finseq_1 (tptp.k1_rfinseq A B C) A))) (forall ((A $$unsorted)) (=> (tptp.m1_finseq_1 A tptp.k1_numbers) (tptp.m2_finseq_1 (tptp.k2_rfinseq A) tptp.k1_numbers))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (tptp.v1_struct_0 A))) (exists ((A $$unsorted)) (and (tptp.l2_struct_0 A) (tptp.v2_struct_0 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 A)))) (exists ((A $$unsorted)) (and (tptp.l2_struct_0 A) (not (tptp.v3_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v3_struct_0 A) (tptp.v1_xboole_0 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_struct_0 C A B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (exists ((C $$unsorted)) (tptp.m1_struct_0 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (= (tptp.m1_struct_0 C A B) (tptp.m1_subset_1 C B))))) true (exists ((A $$unsorted)) (tptp.l1_struct_0 A)) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l2_struct_0 A)) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (=> (tptp.v1_struct_0 A) (= A (tptp.g1_struct_0 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (=> (tptp.v2_struct_0 A) (= A (tptp.g2_struct_0 (tptp.u1_struct_0 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_struct_0 A B) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (= (tptp.k1_struct_0 A B) (tptp.k1_tarski B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_struct_0 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_struct_0 A B C) (tptp.k2_struct_0 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_struct_0 A B C) (tptp.k2_tarski B C))))) true (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (tptp.m1_subset_1 (tptp.u2_struct_0 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_struct_0 A))) (and (tptp.v1_struct_0 _let_1) (tptp.l1_struct_0 _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= (tptp.g1_struct_0 A) (tptp.g1_struct_0 B)) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g2_struct_0 A B))) (=> (tptp.m1_subset_1 B A) (and (tptp.v2_struct_0 _let_1) (tptp.l2_struct_0 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g2_struct_0 A B) (tptp.g2_struct_0 C D)) (and (= A C) (= B D)))))) (exists ((A $$unsorted)) (and (tptp.l1_cat_1 A) (tptp.v1_cat_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_cat_1 A) (tptp.v2_cat_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_cat_1 A) (tptp.v1_cat_1 A) (tptp.v2_cat_1 A))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (not (tptp.v1_xboole_0 D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_partfun1 A D E B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A D) (tptp.m2_relset_1 E A D)) (=> (and (tptp.r1_tarski B A) (tptp.r1_tarski (tptp.k2_funct_2 A D E B) C)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B C) (tptp.m2_relset_1 _let_1 B C)))))))) _let_26 true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_relat_1 (tptp.k1_cat_1 A B C)))) (and (= _let_1 (tptp.k1_tarski (tptp.k4_tarski A B))) (= _let_1 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.k1_funct_1 (tptp.k1_cat_1 A B C) (tptp.k4_tarski A B)) C)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_tarski A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_tarski B)) (= (tptp.k1_funct_1 (tptp.k1_cat_1 A B C) (tptp.k4_tarski D E)) C))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k2_cat_1 A B) (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 A) (tptp.u3_cat_1 A) B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k3_cat_1 A B) (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 A) (tptp.u4_cat_1 A) B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_tarski C B))) (let ((_let_2 (tptp.u5_cat_1 A))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (tptp.r2_hidden _let_1 (tptp.k1_relat_1 _let_2)) (= (tptp.k4_cat_1 A B C) (tptp.k1_funct_1 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k5_cat_1 A B) (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 A) (tptp.u6_cat_1 A) B))))))) true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (= (tptp.r2_hidden D (tptp.k6_cat_1 A B C)) (and (= (tptp.k2_cat_1 A D) B) (= (tptp.k3_cat_1 A D) C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (not (= (tptp.k6_cat_1 A (tptp.k2_cat_1 A B) (tptp.k3_cat_1 A B)) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (= (tptp.m1_cat_1 D A B C) (tptp.r2_hidden D (tptp.k6_cat_1 A B C)))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.k6_cat_1 A B C)) (tptp.m1_cat_1 D A B C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (tptp.m1_cat_1 B A (tptp.k2_cat_1 A B) (tptp.k3_cat_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (and (= (tptp.k2_cat_1 A D) B) (= (tptp.k3_cat_1 A D) C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A B C) (forall ((G $$unsorted)) (=> (tptp.m1_cat_1 G A D E) (=> (= F G) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A D E) tptp.k1_xboole_0) (and (= B D) (= C E)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (= (tptp.k6_cat_1 A B C) (tptp.k1_tarski D)) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (= D E)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A B C))) (=> (tptp.m1_cat_1 D A B C) (=> (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (= D E))) (or (= _let_1 tptp.k1_xboole_0) (= _let_1 (tptp.k1_tarski D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 A B C))) (=> (tptp.m1_cat_1 F A B C) (not (and (tptp.r2_tarski _let_1 (tptp.k6_cat_1 A D E)) (= _let_1 (tptp.k1_tarski F)) (forall ((G $$unsorted)) (=> (tptp.m1_cat_1 G A D E) (not (= (tptp.k6_cat_1 A D E) (tptp.k1_tarski G)))))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (= (tptp.v2_cat_1 A) (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.r2_hidden (tptp.k4_tarski C B) (tptp.k1_relat_1 (tptp.u5_cat_1 A))) (= (tptp.k8_funct_2 _let_2 _let_1 (tptp.u3_cat_1 A) C) (tptp.k8_funct_2 _let_2 _let_1 (tptp.u4_cat_1 A) B))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u4_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.u2_cat_1 A))) (let ((_let_4 (tptp.k1_funct_1 (tptp.u5_cat_1 A) (tptp.k4_tarski C B)))) (let ((_let_5 (tptp.u3_cat_1 A))) (=> (tptp.m1_subset_1 C _let_3) (=> (= (tptp.k8_funct_2 _let_3 _let_2 _let_5 C) (tptp.k8_funct_2 _let_3 _let_2 _let_1 B)) (and (= (tptp.k1_funct_1 _let_5 _let_4) (tptp.k8_funct_2 _let_3 _let_2 _let_5 B)) (= (tptp.k1_funct_1 _let_1 _let_4) (tptp.k8_funct_2 _let_3 _let_2 _let_1 C))))))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u5_cat_1 A))) (let ((_let_2 (tptp.u4_cat_1 A))) (let ((_let_3 (tptp.u1_cat_1 A))) (let ((_let_4 (tptp.u2_cat_1 A))) (let ((_let_5 (tptp.u3_cat_1 A))) (=> (tptp.m1_subset_1 D _let_4) (=> (and (= (tptp.k8_funct_2 _let_4 _let_3 _let_5 D) (tptp.k8_funct_2 _let_4 _let_3 _let_2 C)) (= (tptp.k8_funct_2 _let_4 _let_3 _let_5 C) (tptp.k8_funct_2 _let_4 _let_3 _let_2 B))) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski D (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C B)))) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski D C)) B))))))))))))))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 (tptp.u6_cat_1 A) B))) (=> (tptp.m1_subset_1 B _let_2) (and (= (tptp.k8_funct_2 _let_1 _let_2 (tptp.u3_cat_1 A) _let_3) B) (= (tptp.k8_funct_2 _let_1 _let_2 (tptp.u4_cat_1 A) _let_3) B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (= (tptp.k8_funct_2 _let_1 _let_2 (tptp.u4_cat_1 A) C) B) (= (tptp.k1_funct_1 (tptp.u5_cat_1 A) (tptp.k4_tarski (tptp.k8_funct_2 _let_2 _let_1 (tptp.u6_cat_1 A) B) C)) C)))))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (= (tptp.k8_funct_2 _let_1 _let_2 (tptp.u3_cat_1 A) C) B) (= (tptp.k1_funct_1 (tptp.u5_cat_1 A) (tptp.k4_tarski C (tptp.k8_funct_2 _let_2 _let_1 (tptp.u6_cat_1 A) B))) C)))))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (=> (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (= (tptp.r2_hidden (tptp.k4_tarski C B) (tptp.k1_relat_1 (tptp.u5_cat_1 A))) (= (tptp.k2_cat_1 A C) (tptp.k3_cat_1 A B))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_cat_1 A B C))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k2_cat_1 A C) (tptp.k3_cat_1 A B)) (and (= (tptp.k2_cat_1 A _let_1) (tptp.k2_cat_1 A B)) (= (tptp.k3_cat_1 A _let_1) (tptp.k3_cat_1 A C))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (=> (and (= (tptp.k2_cat_1 A D) (tptp.k3_cat_1 A C)) (= (tptp.k2_cat_1 A C) (tptp.k3_cat_1 A B))) (= (tptp.k4_cat_1 A (tptp.k4_cat_1 A B C) D) (tptp.k4_cat_1 A B (tptp.k4_cat_1 A C D)))))))))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_cat_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (and (= (tptp.k2_cat_1 A _let_1) B) (= (tptp.k3_cat_1 A _let_1) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k3_cat_1 A C) B) (= (tptp.k4_cat_1 A C (tptp.k5_cat_1 A B)) C)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k2_cat_1 A C) B) (= (tptp.k4_cat_1 A (tptp.k5_cat_1 A B) C) C))))))))) (tptp.v2_cat_1 A)))) _let_25 true true (forall ((A $$unsorted) (B $$unsorted)) (tptp.m1_subset_1 A (tptp.u1_cat_1 (tptp.k8_cat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.m1_subset_1 A (tptp.u2_cat_1 (tptp.k8_cat_1 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k8_cat_1 A B))) (= C A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k8_cat_1 A B))) (= C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k8_cat_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 (tptp.k8_cat_1 A B))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_cat_1 A B))) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 _let_1)) (tptp.r2_hidden E (tptp.k6_cat_1 _let_1 C D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k8_cat_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 (tptp.k8_cat_1 A B))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_cat_1 A B))) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 _let_1)) (tptp.m1_cat_1 E _let_1 C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k8_cat_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_cat_1 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 _let_1)) (not (= (tptp.k6_cat_1 _let_1 C D) tptp.k1_xboole_0))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k8_cat_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 (tptp.k8_cat_1 A B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 (tptp.k8_cat_1 A B))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 (tptp.k8_cat_1 A B))) (forall ((G $$unsorted)) (=> (tptp.m1_cat_1 G (tptp.k8_cat_1 A B) C D) (forall ((H $$unsorted)) (=> (tptp.m1_cat_1 H (tptp.k8_cat_1 A B) E F) (= G H))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (= (= (tptp.k2_cat_1 A B) (tptp.k3_cat_1 A C)) (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k1_relat_1 (tptp.u5_cat_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k2_cat_1 A B) (tptp.k3_cat_1 A C)) (= (tptp.k4_cat_1 A C B) (tptp.k1_funct_1 (tptp.u5_cat_1 A) (tptp.k4_tarski B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_cat_1 A B C))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k2_cat_1 A C) (tptp.k3_cat_1 A B)) (and (= (tptp.k2_cat_1 A _let_1) (tptp.k2_cat_1 A B)) (= (tptp.k3_cat_1 A _let_1) (tptp.k3_cat_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (=> (and (= (tptp.k2_cat_1 A D) (tptp.k3_cat_1 A C)) (= (tptp.k2_cat_1 A C) (tptp.k3_cat_1 A B))) (= (tptp.k4_cat_1 A (tptp.k4_cat_1 A B C) D) (tptp.k4_cat_1 A B (tptp.k4_cat_1 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_cat_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (and (= (tptp.k2_cat_1 A _let_1) B) (= (tptp.k3_cat_1 A _let_1) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (=> (= (tptp.k5_cat_1 A B) (tptp.k5_cat_1 A C)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k3_cat_1 A C) B) (= (tptp.k4_cat_1 A C (tptp.k5_cat_1 A B)) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (=> (= (tptp.k2_cat_1 A C) B) (= (tptp.k4_cat_1 A (tptp.k5_cat_1 A B) C) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (= (tptp.v3_cat_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_cat_1 A B))) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (=> (and (= (tptp.k2_cat_1 A C) (tptp.k2_cat_1 A D)) (= (tptp.k3_cat_1 A C) _let_1) (= (tptp.k3_cat_1 A D) _let_1) (= (tptp.k4_cat_1 A C B) (tptp.k4_cat_1 A D B))) (= C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (= (tptp.v4_cat_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_cat_1 A B))) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (=> (and (= (tptp.k2_cat_1 A C) _let_1) (= (tptp.k2_cat_1 A D) _let_1) (= (tptp.k3_cat_1 A C) (tptp.k3_cat_1 A D)) (= (tptp.k4_cat_1 A B C) (tptp.k4_cat_1 A B D))) (= C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 A)) (= (tptp.v5_cat_1 B A) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_cat_1 A B))) (let ((_let_2 (tptp.k3_cat_1 A B))) (and (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (= (tptp.k2_cat_1 A C) _let_2) (= (tptp.k3_cat_1 A C) _let_1) (= (tptp.k4_cat_1 A C B) (tptp.k5_cat_1 A _let_2)) (= (tptp.k4_cat_1 A B C) (tptp.k5_cat_1 A _let_1))))))))))) true true true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A C D) (not (and (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0)) (not (tptp.r2_hidden (tptp.k4_cat_1 A E F) (tptp.k6_cat_1 A B D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (not (and (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0)) (= (tptp.k6_cat_1 A B D) tptp.k1_xboole_0))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A C D) (not (and (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k9_cat_1 A B C D E F) (tptp.k4_cat_1 A E F))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A B C) (forall ((G $$unsorted)) (=> (tptp.m1_cat_1 G A C D) (forall ((H $$unsorted)) (=> (tptp.m1_cat_1 H A D E) (not (and (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 A D E) tptp.k1_xboole_0)) (not (= (tptp.k9_cat_1 A B C E F (tptp.k9_cat_1 A C D E G H)) (tptp.k9_cat_1 A B D E (tptp.k9_cat_1 A B C D F G) H))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.r2_hidden (tptp.k5_cat_1 A B) (tptp.k6_cat_1 A B B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (not (= (tptp.k6_cat_1 A B B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (= (tptp.k9_cat_1 A B C C D (tptp.k10_cat_1 A C)) D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (= (tptp.k9_cat_1 A B B C (tptp.k10_cat_1 A B) D) D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k10_cat_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.k9_cat_1 A B B B _let_1 _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (= (tptp.v3_cat_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A E B) (forall ((G $$unsorted)) (=> (tptp.m1_cat_1 G A E B) (=> (= (tptp.k9_cat_1 A E B C F D) (tptp.k9_cat_1 A E B C G D)) (or (= (tptp.k6_cat_1 A E B) tptp.k1_xboole_0) (= F G))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A C D) (=> (and (tptp.v3_cat_1 E A) (tptp.v3_cat_1 F A)) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0) (tptp.v3_cat_1 (tptp.k9_cat_1 A B C D E F) A))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A C D) (=> (tptp.v3_cat_1 (tptp.k9_cat_1 A B C D E F) A) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0) (tptp.v3_cat_1 E A))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A C B) (=> (= (tptp.k9_cat_1 A C B C E D) (tptp.k10_cat_1 A C)) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A C B) tptp.k1_xboole_0) (tptp.v3_cat_1 E A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.v3_cat_1 (tptp.k10_cat_1 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (= (tptp.v4_cat_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A C E) (forall ((G $$unsorted)) (=> (tptp.m1_cat_1 G A C E) (=> (= (tptp.k9_cat_1 A B C E D F) (tptp.k9_cat_1 A B C E D G)) (or (= (tptp.k6_cat_1 A C E) tptp.k1_xboole_0) (= F G))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A C D) (=> (and (tptp.v4_cat_1 E A) (tptp.v4_cat_1 F A)) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0) (tptp.v4_cat_1 (tptp.k9_cat_1 A B C D E F) A))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A C D) (=> (tptp.v4_cat_1 (tptp.k9_cat_1 A B C D E F) A) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0) (tptp.v4_cat_1 F A))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A C B) (=> (= (tptp.k9_cat_1 A C B C E D) (tptp.k10_cat_1 A C)) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A C B) tptp.k1_xboole_0) (tptp.v4_cat_1 D A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.v4_cat_1 (tptp.k10_cat_1 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (= (tptp.v5_cat_1 D A) (and (not (= (tptp.k6_cat_1 A C B) tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_cat_1 E A C B) (= (tptp.k9_cat_1 A C B C E D) (tptp.k10_cat_1 A C)) (= (tptp.k9_cat_1 A B C B D E) (tptp.k10_cat_1 A B))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (not (and (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 A C B) tptp.k1_xboole_0)) (exists ((E $$unsorted)) (and (tptp.m1_cat_1 E A C B) (exists ((F $$unsorted)) (and (tptp.m1_cat_1 F A C B) (= (tptp.k9_cat_1 A C B C E D) (tptp.k10_cat_1 A C)) (= (tptp.k9_cat_1 A B C B D F) (tptp.k10_cat_1 A B)) (not (= E F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (tptp.v5_cat_1 D A) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A C B) (= (= E (tptp.k11_cat_1 A B C D)) (and (= (tptp.k9_cat_1 A C B C E D) (tptp.k10_cat_1 A C)) (= (tptp.k9_cat_1 A B C B D E) (tptp.k10_cat_1 A B)))))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (tptp.v5_cat_1 D A) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (and (tptp.v3_cat_1 D A) (tptp.v4_cat_1 D A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.v5_cat_1 (tptp.k10_cat_1 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A C D) (=> (and (tptp.v5_cat_1 E A) (tptp.v5_cat_1 F A)) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0) (tptp.v5_cat_1 (tptp.k9_cat_1 A B C D E F) A))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (tptp.v5_cat_1 D A) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (tptp.v5_cat_1 (tptp.k11_cat_1 A B C D) A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A C D) (=> (and (tptp.v5_cat_1 E A) (tptp.v5_cat_1 F A)) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0) (= (tptp.k11_cat_1 A B D (tptp.k9_cat_1 A B C D E F)) (tptp.k9_cat_1 A D C B (tptp.k11_cat_1 A C D F) (tptp.k11_cat_1 A B C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.v6_cat_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (and (not (= (tptp.k6_cat_1 A C B) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_cat_1 D A C B) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A C B) (= D E))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.v7_cat_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (and (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_cat_1 D A B C) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A B C) (= D E))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (= (tptp.r1_cat_1 A B C) (and (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_cat_1 D A B C) (tptp.v5_cat_1 D A))))))))))) true true true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (= (tptp.r1_cat_1 A B C) (and (not (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 A C B) tptp.k1_xboole_0)) (exists ((D $$unsorted)) (and (tptp.m1_cat_1 D A B C) (exists ((E $$unsorted)) (and (tptp.m1_cat_1 E A C B) (= (tptp.k9_cat_1 A C B C E D) (tptp.k10_cat_1 A C)) (= (tptp.k9_cat_1 A B C B D E) (tptp.k10_cat_1 A B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.v7_cat_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (exists ((D $$unsorted)) (and (tptp.m1_cat_1 D A B C) (= (tptp.k6_cat_1 A B C) (tptp.k1_tarski D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (=> (tptp.v7_cat_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_cat_1 C A B B) (= (tptp.k10_cat_1 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (=> (and (tptp.v7_cat_1 B A) (tptp.v7_cat_1 C A)) (tptp.r1_cat_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (=> (and (tptp.v7_cat_1 B A) (tptp.r1_cat_1 A B C)) (tptp.v7_cat_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.v6_cat_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (exists ((D $$unsorted)) (and (tptp.m1_cat_1 D A C B) (= (tptp.k6_cat_1 A C B) (tptp.k1_tarski D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (=> (tptp.v6_cat_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_cat_1 C A B B) (= (tptp.k10_cat_1 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (=> (and (tptp.v6_cat_1 B A) (tptp.v6_cat_1 C A)) (tptp.r1_cat_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (=> (and (tptp.v6_cat_1 B A) (tptp.r1_cat_1 A C B)) (tptp.v6_cat_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (=> (tptp.v6_cat_1 B A) (or (= (tptp.k6_cat_1 A B C) tptp.k1_xboole_0) (tptp.v3_cat_1 D A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (tptp.r1_cat_1 A B B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (=> (tptp.r1_cat_1 A B C) (tptp.r1_cat_1 A C B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (=> (and (tptp.r1_cat_1 A B C) (tptp.r1_cat_1 A C D)) (tptp.r1_cat_1 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.m2_cat_1 C A B) (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 B))) (let ((_let_3 (tptp.u2_cat_1 A))) (and (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_3 _let_1 C (tptp.k8_funct_2 (tptp.u1_cat_1 A) _let_3 (tptp.u6_cat_1 A) D)) (tptp.k8_funct_2 _let_2 _let_1 (tptp.u6_cat_1 B) E))))))))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 C D))) (let ((_let_4 (tptp.u1_cat_1 B))) (let ((_let_5 (tptp.u6_cat_1 B))) (let ((_let_6 (tptp.u1_cat_1 A))) (let ((_let_7 (tptp.u6_cat_1 A))) (=> (tptp.m1_subset_1 D _let_2) (and (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k8_funct_2 _let_6 _let_2 _let_7 (tptp.k8_funct_2 _let_2 _let_6 (tptp.u3_cat_1 A) D))) (tptp.k8_funct_2 _let_4 _let_1 _let_5 (tptp.k8_funct_2 _let_1 _let_4 (tptp.u3_cat_1 B) _let_3))) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k8_funct_2 _let_6 _let_2 _let_7 (tptp.k8_funct_2 _let_2 _let_6 (tptp.u4_cat_1 A) D))) (tptp.k8_funct_2 _let_4 _let_1 _let_5 (tptp.k8_funct_2 _let_1 _let_4 (tptp.u4_cat_1 B) _let_3))))))))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k4_tarski E D))) (let ((_let_4 (tptp.u5_cat_1 A))) (=> (tptp.m1_subset_1 E _let_2) (=> (tptp.r2_hidden _let_3 (tptp.k1_relat_1 _let_4)) (= (tptp.k1_funct_1 C (tptp.k1_funct_1 _let_4 _let_3)) (tptp.k1_funct_1 (tptp.u5_cat_1 B) (tptp.k4_tarski (tptp.k8_funct_2 _let_2 _let_1 C E) (tptp.k8_funct_2 _let_2 _let_1 C D))))))))))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B E)))))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 C D))) (=> (tptp.m1_subset_1 D _let_2) (and (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k10_cat_1 A (tptp.k2_cat_1 A D))) (tptp.k10_cat_1 B (tptp.k2_cat_1 B _let_3))) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k10_cat_1 A (tptp.k3_cat_1 A D))) (tptp.k10_cat_1 B (tptp.k3_cat_1 B _let_3))))))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 E _let_2) (=> (= (tptp.k2_cat_1 A E) (tptp.k3_cat_1 A D)) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_cat_1 A D E)) (tptp.k4_cat_1 B (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E))))))))))) (tptp.m2_cat_1 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B E)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 C D))) (=> (tptp.m1_subset_1 D _let_2) (and (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k10_cat_1 A (tptp.k2_cat_1 A D))) (tptp.k10_cat_1 B (tptp.k2_cat_1 B _let_3))) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k10_cat_1 A (tptp.k3_cat_1 A D))) (tptp.k10_cat_1 B (tptp.k3_cat_1 B _let_3))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 C E))) (let ((_let_4 (tptp.k8_funct_2 _let_2 _let_1 C D))) (=> (tptp.m1_subset_1 E _let_2) (=> (= (tptp.k2_cat_1 A E) (tptp.k3_cat_1 A D)) (and (= (tptp.k2_cat_1 B _let_3) (tptp.k3_cat_1 B _let_4)) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_cat_1 A D E)) (tptp.k4_cat_1 B _let_4 _let_3)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A E)) (tptp.k10_cat_1 B (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 B) D E)))))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 B) C E))) (let ((_let_3 (tptp.u1_cat_1 B))) (let ((_let_4 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 E _let_1) (and (= (tptp.k8_funct_2 _let_4 _let_3 D (tptp.k2_cat_1 A E)) (tptp.k2_cat_1 B _let_2)) (= (tptp.k8_funct_2 _let_4 _let_3 D (tptp.k3_cat_1 A E)) (tptp.k3_cat_1 B _let_2))))))))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 F _let_2) (=> (= (tptp.k2_cat_1 A F) (tptp.k3_cat_1 A E)) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_cat_1 A E F)) (tptp.k4_cat_1 B (tptp.k8_funct_2 _let_2 _let_1 C E) (tptp.k8_funct_2 _let_2 _let_1 C F))))))))))) (tptp.m2_cat_1 C A B)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 B))) (let ((_let_3 (tptp.u2_cat_1 A))) (and (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_3 _let_1 C (tptp.k8_funct_2 (tptp.u1_cat_1 A) _let_3 (tptp.u6_cat_1 A) D)) (tptp.k8_funct_2 _let_2 _let_1 (tptp.u6_cat_1 B) E))))))))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k12_cat_1 A B C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.u2_cat_1 B))) (let ((_let_4 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 F _let_1) (=> (= (tptp.k8_funct_2 _let_4 _let_3 C (tptp.k8_funct_2 _let_2 _let_4 (tptp.u6_cat_1 A) E)) (tptp.k8_funct_2 _let_1 _let_3 (tptp.u6_cat_1 B) F)) (= (tptp.k8_funct_2 _let_2 _let_1 D E) F)))))))))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B E)))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 E _let_1) (=> (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B E)) (= (tptp.k8_funct_2 (tptp.u1_cat_1 A) _let_1 (tptp.k12_cat_1 A B C) D) E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 E _let_1) (=> (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B E)) (= (tptp.k8_funct_2 (tptp.u1_cat_1 A) _let_1 (tptp.k12_cat_1 A B C) D) E))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 B) (tptp.k12_cat_1 A B C) D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 B) C D))) (let ((_let_3 (tptp.k12_cat_1 A B C))) (let ((_let_4 (tptp.u1_cat_1 B))) (let ((_let_5 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 D _let_1) (and (= (tptp.k8_funct_2 _let_5 _let_4 _let_3 (tptp.k2_cat_1 A D)) (tptp.k2_cat_1 B _let_2)) (= (tptp.k8_funct_2 _let_5 _let_4 _let_3 (tptp.k3_cat_1 A D)) (tptp.k3_cat_1 B _let_2)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k13_cat_1 A B C D) (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 B) (tptp.k12_cat_1 A B C) D))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (=> (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B E)) (= (tptp.k13_cat_1 A B C D) E)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k10_cat_1 A D)) (tptp.k10_cat_1 B (tptp.k13_cat_1 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 B) C D))) (=> (tptp.m1_subset_1 D _let_1) (and (= (tptp.k13_cat_1 A B C (tptp.k2_cat_1 A D)) (tptp.k2_cat_1 B _let_2)) (= (tptp.k13_cat_1 A B C (tptp.k3_cat_1 A D)) (tptp.k3_cat_1 B _let_2))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B C) (tptp.m2_cat_1 (tptp.k7_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) (tptp.u2_cat_1 C) D E) A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.m2_cat_1 (tptp.k6_partfun1 (tptp.u2_cat_1 A)) A A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.u1_cat_1 C))) (=> (tptp.m1_subset_1 F _let_2) (= (tptp.k8_funct_2 _let_2 _let_3 (tptp.k12_cat_1 A C (tptp.k14_cat_1 A B C D E)) F) (tptp.k8_funct_2 _let_1 _let_3 (tptp.k12_cat_1 B C E) (tptp.k8_funct_2 _let_2 _let_1 (tptp.k12_cat_1 A B D) F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B C) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (= (tptp.k13_cat_1 A C (tptp.k14_cat_1 A B C D E) F) (tptp.k13_cat_1 B C E (tptp.k13_cat_1 A B D F))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k15_cat_1 A) (tptp.k6_partfun1 (tptp.u2_cat_1 A))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 (tptp.k15_cat_1 A) B) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 (tptp.k12_cat_1 A A (tptp.k15_cat_1 A)) B) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (= (tptp.k12_cat_1 A A (tptp.k15_cat_1 A)) (tptp.k6_partfun1 (tptp.u1_cat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (= (tptp.k13_cat_1 A A (tptp.k15_cat_1 A) B) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (= (tptp.v8_cat_1 C A B) (and (tptp.v2_funct_1 C) (= (tptp.k2_relat_1 C) (tptp.u2_cat_1 B)) (= (tptp.k2_relat_1 (tptp.k12_cat_1 A B C)) (tptp.u1_cat_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (= (tptp.v9_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 B (tptp.k13_cat_1 A B C D) (tptp.k13_cat_1 A B C E)) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F B (tptp.k13_cat_1 A B C D) (tptp.k13_cat_1 A B C E)) (and (not (= (tptp.k6_cat_1 A D E) tptp.k1_xboole_0)) (exists ((G $$unsorted)) (and (tptp.m1_cat_1 G A D E) (= F (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C G))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (= (tptp.v10_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 A D E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A D E) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_cat_1 G A D E) (=> (= (tptp.k8_funct_2 _let_2 _let_1 C F) (tptp.k8_funct_2 _let_2 _let_1 C G)) (= F G)))))))))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.v8_cat_1 (tptp.k15_cat_1 A) A A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.r2_hidden F (tptp.k6_cat_1 A D E)) (tptp.r2_hidden (tptp.k1_funct_1 C F) (tptp.k6_cat_1 B (tptp.k13_cat_1 A B C D) (tptp.k13_cat_1 A B C E))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 A D E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A D E) (tptp.r2_hidden (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C F) (tptp.k6_cat_1 B (tptp.k13_cat_1 A B C D) (tptp.k13_cat_1 A B C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 A D E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A D E) (tptp.m1_cat_1 (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C F) B (tptp.k13_cat_1 A B C D) (tptp.k13_cat_1 A B C E))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (not (and (not (= (tptp.k6_cat_1 A D E) tptp.k1_xboole_0)) (= (tptp.k6_cat_1 B (tptp.k13_cat_1 A B C D) (tptp.k13_cat_1 A B C E)) tptp.k1_xboole_0))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B C) (=> (and (tptp.v9_cat_1 D A B) (tptp.v9_cat_1 E B C)) (tptp.v9_cat_1 (tptp.k14_cat_1 A B C D E) A C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E B C) (=> (and (tptp.v10_cat_1 D A B) (tptp.v10_cat_1 E B C)) (tptp.v10_cat_1 (tptp.k14_cat_1 A B C D E) A C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (tptp.r1_tarski (tptp.k2_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k6_cat_1 A D E)) (tptp.k6_cat_1 B (tptp.k13_cat_1 A B C D) (tptp.k13_cat_1 A B C E))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (= (tptp.k16_cat_1 A B C D E) (tptp.k2_partfun1 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C (tptp.k6_cat_1 A D E))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (=> (not (= (tptp.k6_cat_1 A D E) tptp.k1_xboole_0)) (forall ((F $$unsorted)) (=> (tptp.m1_cat_1 F A D E) (= (tptp.k1_funct_1 (tptp.k16_cat_1 A B C D E) F) (tptp.k8_funct_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) C F))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (= (tptp.v9_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (= (tptp.k2_relat_1 (tptp.k16_cat_1 A B C D E)) (tptp.k6_cat_1 B (tptp.k13_cat_1 A B C D) (tptp.k13_cat_1 A B C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_cat_1 C A B) (= (tptp.v10_cat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (tptp.v2_funct_1 (tptp.k16_cat_1 A B C D E))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (tptp.l1_cat_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_cat_1 D A B C) (tptp.m1_subset_1 D (tptp.u2_cat_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (tptp.l1_cat_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (exists ((D $$unsorted)) (tptp.m1_cat_1 D A B C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m2_cat_1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (exists ((C $$unsorted)) (tptp.m2_cat_1 C A B)))) true (exists ((A $$unsorted)) (tptp.l1_cat_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (=> (tptp.v1_cat_1 A) (= A (tptp.g1_cat_1 (tptp.u1_cat_1 A) (tptp.u2_cat_1 A) (tptp.u3_cat_1 A) (tptp.u4_cat_1 A) (tptp.u5_cat_1 A) (tptp.u6_cat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_cat_1 A B C))) (and (tptp.v1_funct_1 _let_1) (tptp.m2_relset_1 _let_1 (tptp.k2_zfmisc_1 (tptp.k1_tarski A) (tptp.k1_tarski B)) (tptp.k1_tarski C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (tptp.m1_subset_1 (tptp.k2_cat_1 A B) (tptp.u1_cat_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u2_cat_1 A))) (tptp.m1_subset_1 (tptp.k3_cat_1 A B) (tptp.u1_cat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (=> (and (tptp.l1_cat_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_cat_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (tptp.m1_subset_1 (tptp.k5_cat_1 A B) (tptp.u2_cat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (tptp.l1_cat_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_cat_1 A B C) (tptp.k1_zfmisc_1 (tptp.u2_cat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tarski B))) (let ((_let_2 (tptp.k1_tarski A))) (let ((_let_3 (tptp.k7_cat_1 A B))) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))) _let_24 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_cat_1 A B))) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (tptp.m1_cat_1 E A B C) (tptp.m1_cat_1 F A C D)) (tptp.m1_cat_1 (tptp.k9_cat_1 A B C D E F) A B D)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (tptp.m1_cat_1 (tptp.k10_cat_1 A B) A B B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B (tptp.u1_cat_1 A))) (= (tptp.k10_cat_1 A B) (tptp.k5_cat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_cat_1 D A B C)) (tptp.m1_cat_1 (tptp.k11_cat_1 A B C D) A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.k12_cat_1 A B C))) (let ((_let_4 (tptp.u2_cat_1 B))) (let ((_let_5 (tptp.u2_cat_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 _let_4) (tptp.m1_relset_1 C _let_5 _let_4)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m1_subset_1 D (tptp.u1_cat_1 A))) (tptp.m1_subset_1 (tptp.k13_cat_1 A B C D) (tptp.u1_cat_1 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E B C)) (tptp.m2_cat_1 (tptp.k14_cat_1 A B C D E) A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E B C)) (= (tptp.k14_cat_1 A B C D E) (tptp.k5_relat_1 D E)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.m2_cat_1 (tptp.k15_cat_1 A) A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k6_cat_1 B (tptp.k13_cat_1 A B C D) (tptp.k13_cat_1 A B C E)))) (let ((_let_2 (tptp.k6_cat_1 A D E))) (let ((_let_3 (tptp.k16_cat_1 A B C D E))) (let ((_let_4 (tptp.u1_cat_1 A))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m2_cat_1 C A B) (tptp.m1_subset_1 D _let_4) (tptp.m1_subset_1 E _let_4)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 (tptp.u1_cat_1 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 (tptp.u2_cat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.u3_cat_1 A))) (=> (tptp.l1_cat_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.u4_cat_1 A))) (=> (tptp.l1_cat_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u5_cat_1 A))) (=> (tptp.l1_cat_1 A) (and (tptp.v1_funct_1 _let_2) (tptp.m2_relset_1 _let_2 (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.u6_cat_1 A))) (=> (tptp.l1_cat_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.g1_cat_1 A B C D E F))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B A) (tptp.m1_relset_1 C B A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.v1_funct_1 E) (tptp.m1_relset_1 E (tptp.k2_zfmisc_1 B B) B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A B) (tptp.m1_relset_1 F A B)) (and (tptp.v1_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C B A) (tptp.m1_relset_1 C B A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B A) (tptp.m1_relset_1 D B A) (tptp.v1_funct_1 E) (tptp.m1_relset_1 E (tptp.k2_zfmisc_1 B B) B) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F A B) (tptp.m1_relset_1 F A B)) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted) (K $$unsorted) (L $$unsorted)) (=> (= (tptp.g1_cat_1 A B C D E F) (tptp.g1_cat_1 G H I J K L)) (and (= A G) (= B H) (= C I) (= D J) (= E K) (= F L)))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (= (tptp.k6_cat_1 A B C) (tptp.a_3_0_cat_1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (=> (and (tptp.l1_cat_1 B) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_cat_1 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u2_cat_1 B)) (= A E) (= (tptp.k2_cat_1 B E) C) (= (tptp.k3_cat_1 B E) D))))))) (exists ((A $$unsorted)) (and (tptp.l1_lattices A) (tptp.v1_lattices A))) (exists ((A $$unsorted)) (and (tptp.l2_lattices A) (tptp.v2_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (tptp.v3_lattices A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g2_lattices A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_lattices A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1)))))) (exists ((A $$unsorted)) (and (tptp.l2_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v2_lattices A))) (exists ((A $$unsorted)) (and (tptp.l1_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v1_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v10_lattices A)) (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A)) (and _let_1 (tptp.v10_lattices A)))))) (exists ((A $$unsorted)) (and (tptp.l2_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v2_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A))) (exists ((A $$unsorted)) (and (tptp.l1_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v1_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v12_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A)) (and _let_1 (tptp.v15_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v15_lattices A)) (and _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v17_lattices A)) (and _let_1 (tptp.v11_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_1 (tptp.v11_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A)) (and _let_1 (tptp.v17_lattices A)))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.v17_lattices A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 _let_1 (tptp.v11_lattices A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v12_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u2_lattices A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_lattices A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_lattices A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_lattices A B C) (= (tptp.k1_lattices A B C) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (= (tptp.v4_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_lattices A B C) (tptp.k1_lattices A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (= (tptp.v5_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_lattices A B (tptp.k1_lattices A C D)) (tptp.k1_lattices A (tptp.k1_lattices A B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (= (tptp.v6_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_lattices A B C) (tptp.k2_lattices A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (= (tptp.v7_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_lattices A B (tptp.k2_lattices A C D)) (tptp.k2_lattices A (tptp.k2_lattices A B C) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v8_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_lattices A (tptp.k2_lattices A B C) C) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v9_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_lattices A B (tptp.k1_lattices A B C)) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v10_lattices A) (and (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v8_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v9_lattices A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v11_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_lattices A B (tptp.k1_lattices A C D)) (tptp.k1_lattices A (tptp.k2_lattices A B C) (tptp.k2_lattices A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v12_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattices A B D) (= (tptp.k1_lattices A B (tptp.k2_lattices A C D)) (tptp.k2_lattices A (tptp.k1_lattices A B C) D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (= (tptp.v13_lattices A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k2_lattices A B C) B) (= (tptp.k2_lattices A C B) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (= (tptp.v14_lattices A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_lattices A B C) B) (= (tptp.k1_lattices A C B) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v15_lattices A) (and (tptp.v13_lattices A) (tptp.v14_lattices A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (=> (tptp.v13_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= B (tptp.k5_lattices A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k2_lattices A B C) B) (= (tptp.k2_lattices A C B) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (=> (tptp.v14_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= B (tptp.k6_lattices A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_lattices A B C) B) (= (tptp.k1_lattices A C B) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_lattices A))) (let ((_let_2 (tptp.k6_lattices A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_lattices A B C) (and (= (tptp.k1_lattices A B C) _let_2) (= (tptp.k1_lattices A C B) _let_2) (= (tptp.k2_lattices A B C) _let_1) (= (tptp.k2_lattices A C B) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v16_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_lattices A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v17_lattices A) (and (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.v11_lattices A))))) true true true true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_lattices A B B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A B B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A B (tptp.k3_lattices A C D)) (tptp.k3_lattices A (tptp.k4_lattices A B C) (tptp.k4_lattices A B D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A B (tptp.k4_lattices A C D)) (tptp.k4_lattices A (tptp.k3_lattices A B C) (tptp.k3_lattices A B D)))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r1_lattices A B C) (= (tptp.k2_lattices A B C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_lattices A B (tptp.k1_lattices A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r1_lattices A (tptp.k4_lattices A B C) B))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r1_lattices A B C) (tptp.r1_lattices A C D)) (tptp.r1_lattices A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (tptp.r1_lattices A B C) (tptp.r1_lattices A C B)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r1_lattices A B C) (tptp.r1_lattices A (tptp.k2_lattices A B D) (tptp.k2_lattices A C D))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A (tptp.k3_lattices A (tptp.k4_lattices A B C) (tptp.k4_lattices A C D)) (tptp.k4_lattices A D B)) (tptp.k4_lattices A (tptp.k4_lattices A (tptp.k3_lattices A B C) (tptp.k3_lattices A C D)) (tptp.k3_lattices A D B))))))))) (tptp.v11_lattices A)))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A B (tptp.k4_lattices A C D)) (tptp.k4_lattices A (tptp.k3_lattices A B C) (tptp.k3_lattices A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (= (tptp.k4_lattices A B C) (tptp.k4_lattices A B D)) (= (tptp.k3_lattices A B C) (tptp.k3_lattices A B D))) (= C D)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A (tptp.k4_lattices A (tptp.k3_lattices A B C) (tptp.k3_lattices A C D)) (tptp.k3_lattices A D B)) (tptp.k3_lattices A (tptp.k3_lattices A (tptp.k4_lattices A B C) (tptp.k4_lattices A C D)) (tptp.k4_lattices A D B))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A (tptp.k5_lattices A) B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_lattices A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k5_lattices A) B))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A (tptp.k6_lattices A) B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_lattices A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r3_lattices A B (tptp.k6_lattices A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k7_lattices A B)) (tptp.r2_lattices A C B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A (tptp.k7_lattices A B) B) (tptp.k5_lattices A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A (tptp.k7_lattices A B) B) (tptp.k6_lattices A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k7_lattices A (tptp.k7_lattices A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k7_lattices A (tptp.k4_lattices A B C)) (tptp.k3_lattices A (tptp.k7_lattices A B) (tptp.k7_lattices A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k7_lattices A (tptp.k3_lattices A B C)) (tptp.k4_lattices A (tptp.k7_lattices A B) (tptp.k7_lattices A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k4_lattices A B C) (tptp.k5_lattices A)) (tptp.r3_lattices A B (tptp.k7_lattices A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (tptp.r3_lattices A (tptp.k7_lattices A C) (tptp.k7_lattices A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_lattices A)) (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l2_lattices A)) (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (and (tptp.l1_lattices A) (tptp.l2_lattices A)))) (exists ((A $$unsorted)) (tptp.l3_lattices A)) (forall ((A $$unsorted)) (=> (tptp.l1_lattices A) (=> (tptp.v1_lattices A) (= A (tptp.g1_lattices (tptp.u1_struct_0 A) (tptp.u1_lattices A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_lattices A) (=> (tptp.v2_lattices A) (= A (tptp.g2_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A)))))) (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (=> (tptp.v3_lattices A) (= A (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.r3_lattices A B B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.r3_lattices A B C) (tptp.r1_lattices A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_lattices A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_lattices A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k3_lattices A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k3_lattices A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lattices A B C) (tptp.k1_lattices A B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_lattices A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k4_lattices A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_lattices A B C) (tptp.k2_lattices A B C))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_lattices A)) (tptp.m1_subset_1 (tptp.k5_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_lattices A)) (tptp.m1_subset_1 (tptp.k6_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k7_lattices A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (tptp.l1_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (tptp.l2_lattices A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_lattices A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (tptp.v1_lattices _let_1) (tptp.l1_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_lattices A B) (tptp.g1_lattices C D)) (and (= A C) (= B D))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g2_lattices A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (tptp.v2_lattices _let_1) (tptp.l2_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g2_lattices A B) (tptp.g2_lattices C D)) (and (= A C) (= B D))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g3_lattices A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g3_lattices A B C) (tptp.g3_lattices D E F)) (and (= A D) (= B E) (= C F))))))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (tptp.v1_pre_topc A))) (exists ((A $$unsorted)) (and (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 A)) (tptp.v1_pre_topc A) (tptp.v2_pre_topc A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (tptp.l1_struct_0 A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (not (tptp.v1_xboole_0 (tptp.k2_pre_topc A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.v2_pre_topc B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v4_pre_topc (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (tptp.v2_pre_topc A) (and (tptp.r2_hidden (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_2))) (=> (tptp.r1_tarski B _let_1) (tptp.r2_hidden (tptp.k5_setfam_1 _let_2 B) _let_1)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden (tptp.k5_subset_1 _let_2 B C) _let_1)))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.r2_hidden tptp.k1_xboole_0 (tptp.u1_pre_topc A)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k1_pre_topc A) tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k2_pre_topc A) (tptp.u1_struct_0 A)))) true true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k2_pre_topc A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r2_hidden B (tptp.k2_pre_topc A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B (tptp.k2_pre_topc A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k5_subset_1 _let_1 B (tptp.k2_pre_topc A)) B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.r1_tarski B (tptp.k2_pre_topc A)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k3_subset_1 _let_1 B) (tptp.k6_subset_1 _let_1 (tptp.k2_pre_topc A) B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k4_subset_1 _let_1 B (tptp.k3_subset_1 _let_1 B)) (tptp.k2_pre_topc A))))))) true true true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (= (tptp.k6_subset_1 _let_2 _let_1 (tptp.k6_subset_1 _let_2 _let_1 B)) B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (= (tptp.k6_subset_1 _let_3 _let_1 B) tptp.k1_xboole_0))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_3)) (and (not (and (not _let_2) _let_4)) (not (and (not _let_4) _let_2))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_pre_topc A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k6_subset_1 _let_1 _let_2 B) C) (= _let_2 (tptp.k4_subset_1 _let_1 B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (and (= _let_1 (tptp.k4_subset_1 _let_2 B C)) (tptp.r1_xboole_0 B C)) (= C (tptp.k6_subset_1 _let_2 _let_1 B))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k2_pre_topc A) (tptp.k3_subset_1 (tptp.u1_struct_0 A) (tptp.k1_pre_topc A))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (tptp.r2_hidden B (tptp.u1_pre_topc A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v4_pre_topc B A) (tptp.v3_pre_topc (tptp.k6_subset_1 _let_1 (tptp.k2_pre_topc A) B) A))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= (tptp.r1_pre_topc A B) (= (tptp.k2_pre_topc A) (tptp.k5_setfam_1 _let_1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (= (tptp.m1_pre_topc B A) (and (tptp.r1_tarski (tptp.k2_pre_topc B) (tptp.k2_pre_topc A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.r2_hidden C (tptp.u1_pre_topc B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r2_hidden D (tptp.u1_pre_topc A)) (= C (tptp.k3_xboole_0 D (tptp.k2_pre_topc B)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.m1_pre_topc C A)) (= (= C (tptp.k3_pre_topc A B)) (= (tptp.k2_pre_topc C) B)))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v4_pre_topc D B) (tptp.v4_pre_topc (tptp.k5_pre_topc A B C D) A))))))))))))) true true true true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= B (tptp.k1_pre_topc A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (tptp.r2_hidden C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v4_pre_topc (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.v4_pre_topc C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v4_pre_topc D A) (= (tptp.k3_xboole_0 D (tptp.k2_pre_topc B)) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v4_pre_topc C A)))) (tptp.v4_pre_topc (tptp.k6_setfam_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (= C (tptp.k6_pre_topc A B)) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden D C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc E A) (tptp.r2_hidden D E) (tptp.r1_xboole_0 B E))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.r2_hidden C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc D A) (tptp.r1_tarski B D)) (tptp.r2_hidden C D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden D C) (and (tptp.v4_pre_topc D A) (tptp.r1_tarski B D))))) (= (tptp.k6_pre_topc A B) (tptp.k6_setfam_1 _let_1 C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.k6_pre_topc B D) (tptp.k3_xboole_0 (tptp.k6_pre_topc A C) (tptp.k2_pre_topc B)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski B (tptp.k6_pre_topc A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k6_pre_topc A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v4_pre_topc B A))) (let ((_let_2 (= (tptp.k6_pre_topc A B) B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (and (=> _let_1 _let_2) (=> (and (tptp.v2_pre_topc A) _let_2) _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_pre_topc B A))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k6_subset_1 _let_2 (tptp.k2_pre_topc A) B))) (let ((_let_4 (= (tptp.k6_pre_topc A _let_3) _let_3))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (and (=> _let_1 _let_4) (=> (and (tptp.v2_pre_topc A) _let_4) _let_1)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (and (not (tptp.v3_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D) (tptp.r1_xboole_0 B D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.l1_pre_topc B))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (tptp.m1_pre_topc B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_pre_topc A)) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (=> (tptp.v1_pre_topc A) (= A (tptp.g1_pre_topc (tptp.u1_struct_0 A) (tptp.u1_pre_topc A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (tptp.m1_subset_1 (tptp.k1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (tptp.m1_subset_1 (tptp.k2_pre_topc A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k3_pre_topc A B))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_pre_topc _let_1) (tptp.m1_pre_topc _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_subset_1 (tptp.k4_pre_topc A B C D) (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k4_pre_topc A B C D) (tptp.k9_relat_1 C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.m1_relset_1 C _let_1 _let_2)) (tptp.m1_subset_1 (tptp.k5_pre_topc A B C D) (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k5_pre_topc A B C D) (tptp.k10_relat_1 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k6_pre_topc A B) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.m1_subset_1 (tptp.u1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_pre_topc A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (and (tptp.v1_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_pre_topc A B) (tptp.g1_pre_topc C D)) (and (= A C) (= B D)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_xboole_0 _let_1) (tptp.v4_pre_topc _let_1 A) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v4_pre_topc (tptp.k6_pre_topc A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v4_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v3_pre_topc (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v3_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v4_pre_topc (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A (tptp.k1_pre_topc A)))) (=> (tptp.l1_pre_topc A) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.v3_pre_topc (tptp.k1_tops_1 A B) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_xboole_0 _let_1) (tptp.v3_pre_topc _let_1 A) (tptp.v4_pre_topc _let_1 A) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v3_pre_topc _let_1 A) (tptp.v4_pre_topc _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (tptp.v1_xboole_0 B)) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (tptp.v1_tops_1 (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (tptp.v2_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A B))) (=> (and (tptp.l1_pre_topc A) (tptp.v2_tops_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v1_xboole_0 _let_1) (tptp.v1_membered _let_1) (tptp.v2_membered _let_1) (tptp.v3_membered _let_1) (tptp.v4_membered _let_1) (tptp.v5_membered _let_1) (tptp.v2_tops_1 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_xboole_0 B) (tptp.v3_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v1_xboole_0 B) (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A) (tptp.v3_tops_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v3_tops_1 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (tptp.v1_tops_1 (tptp.k3_subset_1 _let_1 B) A)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tops_1 B A) (tptp.v2_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v2_tops_1 B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) _let_1) (and _let_1 (tptp.v3_tops_1 B A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tops_1 A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v3_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v2_tops_1 _let_1 A) (tptp.v3_tops_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_tops_1 A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v4_pre_topc B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (and (tptp.v2_tops_1 _let_1 A) (tptp.v3_tops_1 _let_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.v3_tops_1 B A))) (let ((_let_2 (tptp.v3_pre_topc B A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and _let_2 _let_1) (and (tptp.v1_xboole_0 B) _let_2 (tptp.v4_pre_topc B A) (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B) (tptp.v2_tops_1 B A) _let_1)))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (= (tptp.k4_subset_1 _let_2 B _let_1) _let_1))))))) true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k3_subset_1 (tptp.u1_struct_0 A) (tptp.k2_pre_topc A)) (tptp.k1_pre_topc A)))) true true true true true true true true true true true (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.r1_tarski B C) (tptp.r1_xboole_0 B (tptp.k3_subset_1 _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (= (tptp.k3_subset_1 _let_1 B) (tptp.k3_subset_1 _let_1 C)) (= B C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v4_pre_topc (tptp.k1_pre_topc A) A))) true true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k6_pre_topc A _let_1) _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (tptp.l1_pre_topc A) (= (tptp.k6_pre_topc A _let_1) _let_1)))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v4_pre_topc B A) (tptp.v3_pre_topc (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v3_pre_topc B A) (tptp.v4_pre_topc (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v4_pre_topc B A) (tptp.r1_tarski C B)) (tptp.r1_tarski (tptp.k6_pre_topc A C) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k6_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C)) (tptp.k6_pre_topc A (tptp.k6_subset_1 _let_1 B C)))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (= (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B C)) (tptp.k5_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (tptp.v4_pre_topc (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v4_pre_topc B A) (tptp.v4_pre_topc C A)) (tptp.v4_pre_topc (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (tptp.v3_pre_topc (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_pre_topc C A)) (tptp.v3_pre_topc (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k6_pre_topc A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D) (tptp.r1_xboole_0 B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v3_pre_topc B A) (tptp.r1_tarski (tptp.k5_subset_1 _let_1 B (tptp.k6_pre_topc A C)) (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v3_pre_topc B A) (= (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B (tptp.k6_pre_topc A C))) (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 B C))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k1_tops_1 A B) (tptp.k3_subset_1 _let_1 (tptp.k6_pre_topc A (tptp.k3_subset_1 _let_1 B))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_pre_topc A))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k1_tops_1 A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k1_tops_1 A B) B))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_tops_1 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k1_tops_1 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k5_subset_1 _let_1 (tptp.k1_tops_1 A B) (tptp.k1_tops_1 A C)) (tptp.k1_tops_1 A (tptp.k5_subset_1 _let_1 B C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_pre_topc A))) (=> (tptp.l1_pre_topc A) (= (tptp.k1_tops_1 A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k1_tops_1 A B) (tptp.k1_tops_1 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k4_subset_1 _let_1 (tptp.k1_tops_1 A B) (tptp.k1_tops_1 A C)) (tptp.k1_tops_1 A (tptp.k4_subset_1 _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k1_tops_1 A (tptp.k6_subset_1 _let_1 B C)) (tptp.k6_subset_1 _let_1 (tptp.k1_tops_1 A B) (tptp.k1_tops_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc (tptp.k1_tops_1 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v3_pre_topc (tptp.k1_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v3_pre_topc (tptp.k2_pre_topc A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.r2_hidden B (tptp.k1_tops_1 A C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc D A) (tptp.r1_tarski D C) (tptp.r2_hidden B D)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (and (=> (tptp.v3_pre_topc D B) (= (tptp.k1_tops_1 B D) D)) (=> (= (tptp.k1_tops_1 A C) C) (tptp.v3_pre_topc C A))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.r1_tarski B C)) (tptp.r1_tarski B (tptp.k1_tops_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_pre_topc B A) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc D A) (tptp.r1_tarski D B) (tptp.r2_hidden C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= _let_1 (tptp.k6_pre_topc A (tptp.k1_tops_1 A _let_1)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (= (tptp.k6_pre_topc A (tptp.k1_tops_1 A _let_1)) _let_1))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k2_tops_1 A B) (tptp.k5_subset_1 _let_1 (tptp.k6_pre_topc A B) (tptp.k6_pre_topc A (tptp.k3_subset_1 _let_1 B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k2_tops_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_pre_topc D A) (tptp.r2_hidden C D)) (and (not (tptp.r1_xboole_0 B D)) (not (tptp.r1_xboole_0 (tptp.k3_subset_1 _let_1 B) D)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k2_tops_1 A B) (tptp.k2_tops_1 A (tptp.k3_subset_1 _let_1 B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k2_tops_1 A B) (tptp.k6_pre_topc A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k2_tops_1 A B) (tptp.k4_subset_1 _let_1 (tptp.k5_subset_1 _let_1 (tptp.k6_pre_topc A (tptp.k3_subset_1 _let_1 B)) B) (tptp.k6_subset_1 _let_1 (tptp.k6_pre_topc A B) B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k6_pre_topc A B) (tptp.k4_subset_1 _let_1 B (tptp.k2_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k2_tops_1 A (tptp.k5_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k2_tops_1 A B) (tptp.k2_tops_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k2_tops_1 A (tptp.k4_subset_1 _let_1 B C)) (tptp.k4_subset_1 _let_1 (tptp.k2_tops_1 A B) (tptp.k2_tops_1 A C)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_tops_1 A B))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k2_tops_1 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (tptp.r1_tarski (tptp.k2_tops_1 A B) B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_tops_1 A C))) (let ((_let_2 (tptp.k2_tops_1 A B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_3)) (= (tptp.k4_subset_1 _let_3 _let_2 _let_1) (tptp.k4_subset_1 _let_3 (tptp.k4_subset_1 _let_3 (tptp.k2_tops_1 A (tptp.k4_subset_1 _let_3 B C)) (tptp.k2_tops_1 A (tptp.k5_subset_1 _let_3 B C))) (tptp.k5_subset_1 _let_3 _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k2_tops_1 A (tptp.k1_tops_1 A B)) (tptp.k2_tops_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_tarski (tptp.k2_tops_1 A (tptp.k6_pre_topc A B)) (tptp.k2_tops_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.r1_xboole_0 (tptp.k1_tops_1 A B) (tptp.k2_tops_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k1_tops_1 A B) (tptp.k6_subset_1 _let_1 B (tptp.k2_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_tops_1 A (tptp.k2_tops_1 A B)))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.k2_tops_1 A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v3_pre_topc B A) (= (tptp.k2_tops_1 A B) (tptp.k6_subset_1 _let_1 (tptp.k6_pre_topc A B) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v4_pre_topc B A) (= (tptp.k2_tops_1 A B) (tptp.k6_subset_1 _let_1 B (tptp.k1_tops_1 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_1 B A) (= (tptp.k6_pre_topc A B) (tptp.k2_pre_topc A))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_tops_1 B A) (tptp.r1_tarski B C)) (tptp.v1_tops_1 C A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v1_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v3_pre_topc C A) (tptp.r1_xboole_0 B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v1_tops_1 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v3_pre_topc C A) (= (tptp.k6_pre_topc A C) (tptp.k6_pre_topc A (tptp.k5_subset_1 _let_1 C B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v1_tops_1 B A) (tptp.v1_tops_1 C A) (tptp.v3_pre_topc C A)) (tptp.v1_tops_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v2_tops_1 B A) (tptp.v1_tops_1 (tptp.k3_subset_1 _let_1 B) A))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (= (tptp.k1_tops_1 A B) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v2_tops_1 B A) (tptp.v2_tops_1 C A) (tptp.v4_pre_topc C A)) (tptp.v2_tops_1 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.r1_tarski C B) (tptp.v3_pre_topc C A)) (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (= (tptp.v2_tops_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (not (= C tptp.k1_xboole_0)) (tptp.v3_pre_topc C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski D C) (not (= D tptp.k1_xboole_0)) (tptp.v3_pre_topc D A) (tptp.r1_xboole_0 B D))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v2_tops_1 B A) (tptp.r1_tarski B (tptp.k2_tops_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v3_tops_1 B A) (tptp.v2_tops_1 (tptp.k6_pre_topc A B) A)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v3_tops_1 B A) (tptp.v3_tops_1 C A)) (tptp.v3_tops_1 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.v3_tops_1 B A) (tptp.v1_tops_1 (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_tops_1 B A) (tptp.v2_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v2_tops_1 B A) (tptp.v4_pre_topc B A)) (tptp.v3_tops_1 B A)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (= (tptp.v3_tops_1 B A) (= B (tptp.k2_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v3_pre_topc B A) (tptp.v3_tops_1 (tptp.k2_tops_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_pre_topc B A) (tptp.v3_tops_1 (tptp.k2_tops_1 A B) A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v3_tops_1 B A)) (= B tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v4_tops_1 B A) (and (tptp.r1_tarski (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)) B) (tptp.r1_tarski B (tptp.k6_pre_topc A (tptp.k1_tops_1 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v5_tops_1 B A) (= B (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.v6_tops_1 B A) (= B (tptp.k1_tops_1 A (tptp.k6_pre_topc A B)))))))) true true true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1)) (= (tptp.v6_tops_1 B A) (tptp.v5_tops_1 (tptp.k3_subset_1 _let_1 B) A))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v5_tops_1 B A) (= (tptp.k2_tops_1 A (tptp.k1_tops_1 A B)) (tptp.k2_tops_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v5_tops_1 B A) (tptp.r1_tarski (tptp.k2_tops_1 A B) (tptp.k6_pre_topc A (tptp.k1_tops_1 A B)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_pre_topc A B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_tops_1 A _let_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_2)) (=> (tptp.v6_tops_1 B A) (and (= (tptp.k2_tops_1 A B) _let_3) (= _let_3 (tptp.k6_subset_1 _let_2 _let_1 B))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A)) (= (tptp.v5_tops_1 B A) (tptp.v6_tops_1 B A))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (and (=> (and (tptp.v4_pre_topc D B) (tptp.v4_tops_1 D B)) (tptp.v5_tops_1 D B)) (=> (tptp.v5_tops_1 C A) (and (tptp.v4_pre_topc C A) (tptp.v4_tops_1 C A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.l1_pre_topc B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (and (=> (and (tptp.v3_pre_topc D B) (tptp.v4_tops_1 D B)) (tptp.v6_tops_1 D B)) (=> (tptp.v6_tops_1 C A) (and (tptp.v3_pre_topc C A) (tptp.v4_tops_1 C A)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v5_tops_1 B A) (tptp.v5_tops_1 C A)) (tptp.v5_tops_1 (tptp.k4_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (=> (and (tptp.v6_tops_1 B A) (tptp.v6_tops_1 C A)) (tptp.v6_tops_1 (tptp.k5_subset_1 _let_1 B C) A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_tops_1 B A) (= (tptp.k1_tops_1 A (tptp.k2_tops_1 A B)) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.v4_tops_1 B A) (and (tptp.v4_tops_1 (tptp.k1_tops_1 A B) A) (tptp.v4_tops_1 (tptp.k6_pre_topc A B) A))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k1_tops_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k2_tops_1 A B) _let_1)))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (tptp.v1_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (tptp.v2_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (not (tptp.v3_struct_0 A)))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_rlvect_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 A) (tptp.m1_relset_1 C _let_3 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v2_rlvect_1 _let_1))))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (= (tptp.r1_rlvect_1 A B) (tptp.r2_hidden B (tptp.u1_struct_0 A)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 A B))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (= (tptp.k1_rlvect_1 A) (tptp.u2_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_rlvect_1 A B C) (tptp.k8_funct_2 (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1 (tptp.u1_rlvect_1 A) (tptp.k1_domain_1 _let_1 _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (= (tptp.k3_rlvect_1 A B C) (tptp.k8_funct_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1) _let_1 (tptp.u2_rlvect_1 A) (tptp.k1_domain_1 tptp.k1_numbers _let_1 C B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_rlvect_1 A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v3_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v4_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v5_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v6_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A)) (= (tptp.v7_rlvect_1 A) (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k3_real_1 B C)) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A D B) (tptp.k3_rlvect_1 A D C))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k4_real_1 B C)) (tptp.k3_rlvect_1 A (tptp.k3_rlvect_1 A D C) B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A B tptp.np__1) B))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l2_rlvect_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (=> (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k2_rlvect_1 A C B)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k3_real_1 B C)) (tptp.k2_rlvect_1 A (tptp.k3_rlvect_1 A D B) (tptp.k3_rlvect_1 A D C))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.k1_numbers) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A D (tptp.k4_real_1 B C)) (tptp.k3_rlvect_1 A (tptp.k3_rlvect_1 A D C) B)))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A B tptp.np__1) B)))) (and _let_2 (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) _let_1)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_rlvect_1 A B _let_1) B) (= (tptp.k2_rlvect_1 A _let_1 B) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k5_rlvect_1 A B)) (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B C) (tptp.k2_rlvect_1 A B (tptp.k5_rlvect_1 A C))))))))) true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k2_rlvect_1 A B _let_2) _let_1) (= (tptp.k2_rlvect_1 A _let_2 B) _let_1)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= B (tptp.k5_rlvect_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B D) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (or (= (tptp.k2_rlvect_1 A B D) (tptp.k2_rlvect_1 A B E)) (= (tptp.k2_rlvect_1 A D B) (tptp.k2_rlvect_1 A E B))) (= D E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (or (= (tptp.k2_rlvect_1 A B C) B) (= (tptp.k2_rlvect_1 A C B) B)) (= C (tptp.k1_rlvect_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (or (= A tptp.np__0) (= C _let_1)) (= (tptp.k3_rlvect_1 B C A) _let_1))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (not (and (= (tptp.k3_rlvect_1 B C A) _let_1) (not (= A tptp.np__0)) (not (= C _let_1))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k5_rlvect_1 A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k1_rlvect_1 A)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k1_rlvect_1 A) B) (tptp.k5_rlvect_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B B) (tptp.k1_rlvect_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A B) (tptp.k3_rlvect_1 A B (tptp.k1_real_1 tptp.np__1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k5_rlvect_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 A C)) (= B C)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= B (tptp.k5_rlvect_1 A B)) (= B (tptp.k1_rlvect_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k4_rlvect_1 A B B) _let_1) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A C D) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) (tptp.k6_rlvect_1 A B D)) (= C D)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) A) (tptp.k3_rlvect_1 B C (tptp.k1_real_1 A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) A) (tptp.k5_rlvect_1 B (tptp.k3_rlvect_1 B C A))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k5_rlvect_1 B C) (tptp.k1_real_1 A)) (tptp.k3_rlvect_1 B C A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k2_rlvect_1 A C D)) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k2_rlvect_1 A B C) D) (tptp.k2_rlvect_1 A B (tptp.k6_rlvect_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A B (tptp.k6_rlvect_1 A C D)) (tptp.k4_rlvect_1 A (tptp.k6_rlvect_1 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A B C)) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A B C)) (tptp.k2_rlvect_1 A (tptp.k5_rlvect_1 A C) (tptp.k5_rlvect_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k6_rlvect_1 A B C)) (tptp.k2_rlvect_1 A C (tptp.k5_rlvect_1 A B))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k3_rlvect_1 B (tptp.k6_rlvect_1 B C D) A) (tptp.k6_rlvect_1 B (tptp.k3_rlvect_1 B C A) (tptp.k3_rlvect_1 B D A))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v7_rlvect_1 C) (tptp.l2_rlvect_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k3_rlvect_1 C D (tptp.k5_real_1 A B)) (tptp.k6_rlvect_1 C (tptp.k3_rlvect_1 C D A) (tptp.k3_rlvect_1 C D B))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= (tptp.k3_rlvect_1 B C A) (tptp.k3_rlvect_1 B D A)) (or (= A tptp.np__0) (= C D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_rlvect_1 C) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v7_rlvect_1 C) (tptp.l2_rlvect_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (= (tptp.k3_rlvect_1 C D A) (tptp.k3_rlvect_1 C D B)) (or (= D (tptp.k1_rlvect_1 C)) (= A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k9_rlvect_1 A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D tptp.k5_numbers _let_1) (tptp.m2_relset_1 D tptp.k5_numbers _let_1) (= C (tptp.k8_funct_2 tptp.k5_numbers _let_1 D (tptp.k3_finseq_1 B))) (= (tptp.k8_funct_2 tptp.k5_numbers _let_1 D tptp.np__0) (tptp.k1_rlvect_1 A)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k1_nat_1 E tptp.np__1))) (=> (tptp.m1_subset_1 F _let_1) (=> (= F (tptp.k1_funct_1 B _let_2)) (or (tptp.r1_xreal_0 (tptp.k3_finseq_1 B) E) (= (tptp.k8_funct_2 tptp.k5_numbers _let_1 D _let_2) (tptp.k2_rlvect_1 A (tptp.k8_funct_2 tptp.k5_numbers _let_1 D E) F)))))))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (and (tptp.r2_hidden C (tptp.k2_finseq_1 D)) (= (tptp.k3_finseq_1 B) D)) (tptp.m1_subset_1 (tptp.k1_funct_1 B C) (tptp.u1_struct_0 A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_finseq_1 B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (= _let_1 (tptp.k1_nat_1 (tptp.k3_finseq_1 C) tptp.np__1)) (= C (tptp.k7_relat_1 B (tptp.k4_finseq_1 C))) (= D (tptp.k1_funct_1 B _let_1))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A C) D)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.k1_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v7_rlvect_1 B) (tptp.l2_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m2_finseq_1 D (tptp.u1_struct_0 B)) (=> (and (= (tptp.k3_finseq_1 C) (tptp.k3_finseq_1 D)) (forall ((E $$unsorted)) (=> (tptp.m2_subset_1 E tptp.k1_numbers tptp.k5_numbers) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (tptp.r2_hidden E (tptp.k4_finseq_1 C)) (= F (tptp.k1_funct_1 D E))) (= (tptp.k1_funct_1 C E) (tptp.k3_rlvect_1 B F A)))))))) (= (tptp.k9_rlvect_1 B C) (tptp.k3_rlvect_1 B (tptp.k9_rlvect_1 B D) A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) (tptp.k3_finseq_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden D (tptp.k4_finseq_1 B)) (= E (tptp.k1_funct_1 C D))) (= (tptp.k1_funct_1 B D) (tptp.k5_rlvect_1 A E)))))))) (= (tptp.k9_rlvect_1 A B) (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_finseq_1 C _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_finseq_1 _let_1 B C)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m2_finseq_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k2_relat_1 B) (tptp.k2_relat_1 C)) (tptp.v2_funct_1 B) (tptp.v2_funct_1 C)) (= (tptp.k9_rlvect_1 A B) (tptp.k9_rlvect_1 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) (tptp.k1_rlvect_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k2_rlvect_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A))) B) (tptp.k1_rlvect_1 A)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C D)) B) (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.k1_numbers) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k3_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C D E)) B) (tptp.k4_rlvect_1 A (tptp.k4_rlvect_1 A (tptp.k3_rlvect_1 A C B) (tptp.k3_rlvect_1 A D B)) (tptp.k3_rlvect_1 A E B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k6_finseq_1 (tptp.u1_struct_0 A)))) (tptp.k1_rlvect_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B))) (tptp.k5_rlvect_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C))) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D))) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A B) C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 C))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 B)) B) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B _let_1)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B _let_2)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_2 B)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B (tptp.k5_rlvect_1 A C))) (tptp.k6_rlvect_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 A C))) (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A C B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B B)) (tptp.k3_rlvect_1 A B tptp.np__2)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_rlvect_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A _let_1 _let_1)) (tptp.k3_rlvect_1 A B (tptp.k1_real_1 tptp.np__2)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 B)) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 C))) (tptp.k9_rlvect_1 A (tptp.k12_finseq_1 _let_1 D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D)) (tptp.k2_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B C)) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k4_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A B D)) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k4_rlvect_1 A (tptp.k9_rlvect_1 A (tptp.k7_rlvect_1 A C D)) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C D B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B D C))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A C B D)) (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A D B C))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 _let_1 _let_1)) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 _let_1 B)) B) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_1 B _let_1)) B) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B _let_1 _let_1)) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A B C))) (let ((_let_2 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A _let_2 B C)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B C _let_2)) _let_1) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B _let_2 C)) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_rlvect_1 A) (tptp.l2_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k9_rlvect_1 A (tptp.k8_rlvect_1 A B B B)) (tptp.k3_rlvect_1 A B tptp.np__3)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k3_finseq_1 B) tptp.np__0) (= (tptp.k9_rlvect_1 A B) (tptp.k1_rlvect_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k3_finseq_1 B) tptp.np__1) (= (tptp.k9_rlvect_1 A B) (tptp.k1_funct_1 B tptp.np__1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) tptp.np__2) (= C (tptp.k1_funct_1 B tptp.np__1)) (= D (tptp.k1_funct_1 B tptp.np__2))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_finseq_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (= (tptp.k3_finseq_1 B) tptp.np__3) (= C (tptp.k1_funct_1 B tptp.np__1)) (= D (tptp.k1_funct_1 B tptp.np__2)) (= E (tptp.k1_funct_1 B tptp.np__3))) (= (tptp.k9_rlvect_1 A B) (tptp.k2_rlvect_1 A (tptp.k2_rlvect_1 A C D) E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_struct_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v8_rlvect_1 B A) (not (= B (tptp.k1_rlvect_1 A)))))))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (tptp.l2_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_rlvect_1 A)) (forall ((A $$unsorted)) (=> (tptp.l2_rlvect_1 A) (tptp.l1_rlvect_1 A))) (exists ((A $$unsorted)) (tptp.l2_rlvect_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (=> (tptp.v1_rlvect_1 A) (= A (tptp.g1_rlvect_1 (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_rlvect_1 A) (=> (tptp.v2_rlvect_1 A) (= A (tptp.g2_rlvect_1 (tptp.u1_struct_0 A) (tptp.u2_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u2_rlvect_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_struct_0 A) (tptp.m1_subset_1 (tptp.k1_rlvect_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k2_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C tptp.k1_numbers)) (tptp.m1_subset_1 (tptp.k3_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_rlvect_1 A B C) (tptp.k4_rlvect_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k4_rlvect_1 A B C) (tptp.k2_rlvect_1 A B C))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k5_rlvect_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m2_finseq_1 (tptp.k7_rlvect_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k7_rlvect_1 A B C) (tptp.k10_finseq_1 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (tptp.m2_finseq_1 (tptp.k8_rlvect_1 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1)) (= (tptp.k8_rlvect_1 A B C D) (tptp.k11_finseq_1 B C D))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A) (tptp.m1_finseq_1 B _let_1)) (tptp.m1_subset_1 (tptp.k9_rlvect_1 A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_rlvect_1 A))) (=> (tptp.l1_rlvect_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers _let_1))) (let ((_let_3 (tptp.u2_rlvect_1 A))) (=> (tptp.l2_rlvect_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (tptp.v1_rlvect_1 _let_1) (tptp.l1_rlvect_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_rlvect_1 A B C) (tptp.g1_rlvect_1 D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_rlvect_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_3 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 A) (tptp.m1_relset_1 C _let_3 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 A) (tptp.m1_relset_1 D _let_2 A)) (and (tptp.v2_rlvect_1 _let_1) (tptp.l2_rlvect_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 tptp.k1_numbers A))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.m1_subset_1 B A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m1_relset_1 D _let_1 A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_rlvect_1 A B C D) (tptp.g2_rlvect_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H)))))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (tptp.v1_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_group_1 A) (=> (and _let_1 (tptp.v3_group_1 A)) (and _let_1 (tptp.v2_group_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_rlvect_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_group_1 A B C) (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_group_1 A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v2_group_1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v3_group_1 A) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A C D) B) (= (tptp.k1_group_1 A D C) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v4_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D)))))))))))) true true true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_group_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (=> (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))))))))) (or (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A C D) B) (= (tptp.k1_group_1 A D C) B))))))))) (and _let_2 (tptp.v3_group_1 A) (tptp.v4_group_1 A) _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (=> (and (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) D) (tptp.k1_group_1 A B (tptp.k1_group_1 A C D))))))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B D) C))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A D B) C))))))))) (and (tptp.v4_group_1 A) (tptp.v3_group_1 A))))) (and _let_22 _let_23) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (=> (tptp.v2_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= B (tptp.k2_group_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C)))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A C B) C) (= (tptp.k1_group_1 A B C) C)))) (= B (tptp.k2_group_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k3_group_1 A B)) (and (= (tptp.k1_group_1 A B C) _let_1) (= (tptp.k1_group_1 A C B) _let_1)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (= (tptp.k1_group_1 A B C) _let_1) (= (tptp.k1_group_1 A C B) _let_1)) (= C (tptp.k3_group_1 A B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (or (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D)) (= (tptp.k1_group_1 A C B) (tptp.k1_group_1 A D B))) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (or (= (tptp.k1_group_1 A B C) B) (= (tptp.k1_group_1 A C B) B)) (= C (tptp.k2_group_1 A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_group_1 A _let_1) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k3_group_1 A B) (tptp.k3_group_1 A C)) (= B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k3_group_1 A B) _let_1) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k3_group_1 A (tptp.k3_group_1 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (or (= (tptp.k1_group_1 A B C) _let_1) (= (tptp.k1_group_1 A C B) _let_1)) (and (= B (tptp.k3_group_1 A C)) (= C (tptp.k3_group_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= (tptp.k1_group_1 A B C) D) (= C (tptp.k1_group_1 A (tptp.k3_group_1 A B) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= (tptp.k1_group_1 A B C) D) (= B (tptp.k1_group_1 A D (tptp.k3_group_1 A C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B D) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A D B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_1 A (tptp.k1_group_1 A B C)) (tptp.k1_group_1 A (tptp.k3_group_1 A C) (tptp.k3_group_1 A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_group_1 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= _let_1 (tptp.k1_group_1 A C B)) (= (tptp.k3_group_1 A _let_1) (tptp.k1_group_1 A (tptp.k3_group_1 A B) (tptp.k3_group_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (let ((_let_2 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B)) (= (tptp.k1_group_1 A _let_1 _let_2) (tptp.k1_group_1 A _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B)) (= (tptp.k1_group_1 A B _let_1) (tptp.k1_group_1 A _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k4_group_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 B C) (tptp.k3_group_1 A C))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v2_binop_1 (tptp.u1_group_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (tptp.r3_binop_1 (tptp.u1_struct_0 A) (tptp.k2_group_1 A) (tptp.u1_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k3_binop_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)) (tptp.k2_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.l1_group_1 A)) (tptp.v1_setwiseo (tptp.u1_group_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r1_finseqop (tptp.u1_struct_0 A) (tptp.k4_group_1 A) (tptp.u1_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v1_finseqop (tptp.u1_group_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k6_finseqop (tptp.u1_struct_0 A) (tptp.u1_group_1 A)) (tptp.k4_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 tptp.k5_numbers))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k5_group_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (and (= (tptp.k2_binop_1 _let_1 tptp.k5_numbers _let_1 B C tptp.np__0) (tptp.k2_group_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (= (tptp.k2_binop_1 _let_1 tptp.k5_numbers _let_1 B C (tptp.k1_nat_1 D tptp.np__1)) (tptp.k1_group_1 A (tptp.k2_binop_1 _let_1 tptp.k5_numbers _let_1 B C D) C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_binop_1 _let_1 tptp.k5_numbers _let_1 (tptp.k5_group_1 A) C (tptp.k1_int_2 B)))) (let ((_let_3 (tptp.k6_group_1 A B C))) (let ((_let_4 (tptp.r1_xreal_0 tptp.np__0 B))) (=> (tptp.m1_subset_1 C _let_1) (and (=> _let_4 (= _let_3 _let_2)) (=> (not _let_4) (= _let_3 (tptp.k3_group_1 A _let_2)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k6_group_1 A B C) (tptp.k2_binop_1 _let_1 tptp.k5_numbers _let_1 (tptp.k5_group_1 A) C B))))))))) true true true true (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.k6_group_1 B A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A tptp.np__0 B) (tptp.k2_group_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A tptp.np__1 B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A tptp.np__2 B) (tptp.k1_group_1 A B B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A tptp.np__3 B) (tptp.k1_group_1 A (tptp.k1_group_1 A B B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (= (tptp.k6_group_1 A tptp.np__2 B) (tptp.k2_group_1 A)) (= (tptp.k3_group_1 A B) B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k1_nat_1 A B) D) (tptp.k1_group_1 C (tptp.k6_group_1 C A D) (tptp.k6_group_1 C B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A C))) (let ((_let_2 (tptp.k6_group_1 B (tptp.k1_nat_1 A tptp.np__1) C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (= _let_2 (tptp.k1_group_1 B _let_1 C)) (= _let_2 (tptp.k1_group_1 B C _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k2_nat_1 A B) D) (tptp.k6_group_1 C B (tptp.k6_group_1 C A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B A (tptp.k3_group_1 B C)) (tptp.k3_group_1 B (tptp.k6_group_1 B A C))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= (tptp.k1_group_1 B C D) (tptp.k1_group_1 B D C)) (= (tptp.k1_group_1 B C _let_1) (tptp.k1_group_1 B _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_group_1 C A D))) (let ((_let_2 (tptp.k6_group_1 C B E))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (=> (= (tptp.k1_group_1 C D E) (tptp.k1_group_1 C E D)) (= (tptp.k1_group_1 C _let_1 _let_2) (tptp.k1_group_1 C _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_group_1 B C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= _let_1 (tptp.k1_group_1 B D C)) (= (tptp.k6_group_1 B A _let_1) (tptp.k1_group_1 B (tptp.k6_group_1 B A C) (tptp.k6_group_1 B A D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (tptp.r1_xreal_0 tptp.np__0 A) (= (tptp.k6_group_1 B A C) (tptp.k6_group_1 B (tptp.k1_int_2 A) C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (not (tptp.r1_xreal_0 tptp.np__0 A)) (= (tptp.k6_group_1 B A C) (tptp.k3_group_1 B (tptp.k6_group_1 B (tptp.k1_int_2 A) C)))))))))) true true (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (= A tptp.np__0) (= (tptp.k6_group_1 B A C) (tptp.k2_group_1 B))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (tptp.r1_xreal_0 A tptp.np__0) (= (tptp.k6_group_1 B A C) (tptp.k3_group_1 B (tptp.k6_group_1 B (tptp.k1_int_2 A) C)))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_group_1 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.k6_group_1 B A _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A (tptp.k7_binop_2 tptp.np__1) B) (tptp.k3_group_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k2_xcmplx_0 A B) D) (tptp.k1_group_1 C (tptp.k6_group_1 C A D) (tptp.k6_group_1 C B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k2_xcmplx_0 A B) D) (tptp.k1_group_1 C (tptp.k6_group_1 C A D) (tptp.k6_group_1 C B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k2_xcmplx_0 B A) D) (tptp.k1_group_1 C (tptp.k6_group_1 C B D) (tptp.k6_group_1 C A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A C))) (let ((_let_2 (tptp.k6_group_1 B (tptp.k2_xcmplx_0 A tptp.np__1) C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (and (= _let_2 (tptp.k1_group_1 B _let_1 C)) (= _let_2 (tptp.k1_group_1 B C _let_1))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k3_xcmplx_0 A B) D) (tptp.k6_group_1 C B (tptp.k6_group_1 C A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k3_xcmplx_0 A B) D) (tptp.k6_group_1 C B (tptp.k6_group_1 C A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (tptp.k6_group_1 C (tptp.k3_xcmplx_0 B A) D) (tptp.k6_group_1 C A (tptp.k6_group_1 C B D))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B (tptp.k4_xcmplx_0 A) C) (tptp.k3_group_1 B (tptp.k6_group_1 B A C))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B (tptp.k7_binop_2 A) C) (tptp.k3_group_1 B (tptp.k6_group_1 B A C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B A (tptp.k3_group_1 B C)) (tptp.k3_group_1 B (tptp.k6_group_1 B A C))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_group_1 B C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= _let_1 (tptp.k1_group_1 B D C)) (= (tptp.k6_group_1 B A _let_1) (tptp.k1_group_1 B (tptp.k6_group_1 B A C) (tptp.k6_group_1 B A D))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_group_1 C A D))) (let ((_let_2 (tptp.k6_group_1 C B E))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (=> (= (tptp.k1_group_1 C D E) (tptp.k1_group_1 C E D)) (= (tptp.k1_group_1 C _let_1 _let_2) (tptp.k1_group_1 C _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (tptp.v1_int_1 B) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_group_1 C A D))) (let ((_let_2 (tptp.k6_group_1 C B E))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (=> (= (tptp.k1_group_1 C D E) (tptp.k1_group_1 C E D)) (= (tptp.k1_group_1 C _let_1 _let_2) (tptp.k1_group_1 C _let_2 _let_1))))))))))))))) true (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_1 B A D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (=> (= (tptp.k1_group_1 B C D) (tptp.k1_group_1 B D C)) (= (tptp.k1_group_1 B C _let_1) (tptp.k1_group_1 B _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.v5_group_1 B A) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (=> (= (tptp.k6_group_1 A C B) (tptp.k2_group_1 A)) (= C tptp.np__0))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (not (tptp.v5_group_1 (tptp.k2_group_1 A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (= C tptp.np__0))) (let ((_let_2 (= C (tptp.k7_group_1 A B)))) (let ((_let_3 (tptp.v5_group_1 B A))) (=> (tptp.m2_subset_1 C tptp.k1_numbers tptp.k5_numbers) (and (=> _let_3 (= _let_2 _let_1)) (=> (not _let_3) (= _let_2 (and (= (tptp.k6_group_1 A C B) (tptp.k2_group_1 A)) (not _let_1) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D tptp.k1_numbers tptp.k5_numbers) (=> (= (tptp.k6_group_1 A D B) (tptp.k2_group_1 A)) (or (= D tptp.np__0) (tptp.r1_xreal_0 C D)))))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k6_group_1 A (tptp.k7_group_1 A B) B) (tptp.k2_group_1 A)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k7_group_1 A (tptp.k2_group_1 A)) tptp.np__1))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k7_group_1 A B) tptp.np__1) (= B (tptp.k2_group_1 A))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (=> (= (tptp.k6_group_1 B A C) (tptp.k2_group_1 B)) (tptp.r1_nat_1 (tptp.k7_group_1 B C) A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.k8_group_1 A) (tptp.k1_card_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v6_group_1 A) (tptp.v1_finset_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v6_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B tptp.k1_numbers tptp.k5_numbers) (= (= B (tptp.k9_group_1 A)) (exists ((C $$unsorted)) (and (tptp.v1_finset_1 C) (= C (tptp.u1_struct_0 A)) (= B (tptp.k4_card_1 C)))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v6_group_1 A) (tptp.r1_xreal_0 tptp.np__1 (tptp.k9_group_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (= (tptp.v7_group_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B C) (tptp.k1_group_1 A C B))))))))) true (and (not (tptp.v3_struct_0 _let_21)) _let_23 _let_22 (tptp.v7_group_1 _let_21) (tptp.l1_group_1 _let_21)) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_group_1 A (tptp.k10_group_1 A B C)) (tptp.k10_group_1 A (tptp.k3_group_1 A B) (tptp.k3_group_1 A C))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B A (tptp.k10_group_1 B C D)) (tptp.k10_group_1 B (tptp.k6_group_1 B A C) (tptp.k6_group_1 B A D))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k6_group_1 B A (tptp.k10_group_1 B C D)) (tptp.k10_group_1 B (tptp.k6_group_1 B A C) (tptp.k6_group_1 B A D))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A) (tptp.k2_group_1 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (tptp.l1_struct_0 A))) (exists ((A $$unsorted)) (tptp.l1_group_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_group_1 A) (=> (tptp.v1_group_1 A) (= A (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k1_group_1 A B C) _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (tptp.m1_subset_1 (tptp.k2_group_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k3_group_1 A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k4_group_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 tptp.k5_numbers))) (let ((_let_3 (tptp.k5_group_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_int_1 B) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k6_group_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m2_subset_1 (tptp.k7_group_1 A B) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v1_card_1 (tptp.k8_group_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.m2_subset_1 (tptp.k9_group_1 A) tptp.k1_numbers tptp.k5_numbers))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k10_group_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k10_group_1 A B C) (tptp.k10_group_1 A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_group_1 A) (tptp.l1_group_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k10_group_1 A B C) (tptp.k1_group_1 A B C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_group_1 A))) (=> (tptp.l1_group_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.g1_group_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A)) (and (tptp.v1_group_1 _let_1) (tptp.l1_group_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= (tptp.g1_group_1 A B) (tptp.g1_group_1 C D)) (and (= A C) (= B D))))))) (and _let_20 _let_14) (and _let_20 _let_14 (tptp.v3_rlvect_1 tptp.k1_vectsp_1) (tptp.v4_rlvect_1 tptp.k1_vectsp_1) (tptp.v5_rlvect_1 tptp.k1_vectsp_1) (tptp.v6_rlvect_1 tptp.k1_vectsp_1)) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_vectsp_1 A) (tptp.v1_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_vectsp_1 A) (tptp.v2_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l2_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (tptp.v3_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_vectsp_1 A))) (and _let_19 _let_13) (and _let_19 _let_18 _let_13) (and _let_19 (tptp.v3_rlvect_1 tptp.k3_vectsp_1) (tptp.v4_rlvect_1 tptp.k3_vectsp_1) (tptp.v5_rlvect_1 tptp.k3_vectsp_1) (tptp.v6_rlvect_1 tptp.k3_vectsp_1) _let_18 (tptp.v4_group_1 tptp.k3_vectsp_1) (tptp.v7_group_1 tptp.k3_vectsp_1) _let_13 (tptp.v6_vectsp_1 tptp.k3_vectsp_1) (tptp.v7_vectsp_1 tptp.k3_vectsp_1) (tptp.v8_vectsp_1 tptp.k3_vectsp_1) (tptp.v9_vectsp_1 tptp.k3_vectsp_1) (not (tptp.v10_vectsp_1 tptp.k3_vectsp_1))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_vectsp_1 A) (=> (and _let_1 (tptp.v7_vectsp_1 A)) (and _let_1 (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_vectsp_1 A) (=> (and _let_1 (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A)) (and _let_1 (tptp.v7_vectsp_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v2_group_1 A)) (and _let_1 (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A)) (and _let_1 (tptp.v2_group_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A))) (exists ((A $$unsorted)) (and (tptp.l1_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v8_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l4_vectsp_1 B A) (tptp.v11_vectsp_1 B A))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (and (tptp.l4_vectsp_1 B A) (not (tptp.v3_struct_0 B)) (tptp.v11_vectsp_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v11_vectsp_1 _let_1 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (exists ((B $$unsorted)) (and (tptp.l4_vectsp_1 B A) (not (tptp.v3_struct_0 B)) (tptp.v3_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v11_vectsp_1 B A) (tptp.v12_vectsp_1 B A))))) (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.v3_struct_0 A)))) (=> (tptp.l1_vectsp_1 A) (=> (and _let_1 (tptp.v7_group_1 A) (tptp.v8_vectsp_1 A)) (and _let_1 (tptp.v6_vectsp_1 A)))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v13_vectsp_1 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v2_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_vectsp_1 A) (tptp.v5_vectsp_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.v13_vectsp_1 A))) true true true true true _let_17 true true true true true (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k1_vectsp_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k1_vectsp_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 tptp.k1_vectsp_1))) (let ((_let_2 (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.k1_vectsp_1)) (and (= _let_2 (tptp.k4_rlvect_1 tptp.k1_vectsp_1 B A)) (= (tptp.k4_rlvect_1 tptp.k1_vectsp_1 _let_2 C) (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A (tptp.k4_rlvect_1 tptp.k1_vectsp_1 B C))) (= (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A _let_1) A) (= (tptp.k4_rlvect_1 tptp.k1_vectsp_1 A (tptp.k5_rlvect_1 tptp.k1_vectsp_1 A)) _let_1)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l1_rlvect_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= _let_1 (tptp.k2_rlvect_1 A C B)) (= (tptp.k2_rlvect_1 A _let_1 D) (tptp.k2_rlvect_1 A B (tptp.k2_rlvect_1 A C D))) (= (tptp.k2_rlvect_1 A B (tptp.k1_rlvect_1 A)) B) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B E) (tptp.k1_rlvect_1 A)))))))))))) (and _let_2 (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) _let_1)))))) true true (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (= (tptp.k2_vectsp_1 A) (tptp.u1_vectsp_1 A)))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_vectsp_1 A)) (= (tptp.v4_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k2_rlvect_1 A C D)) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_vectsp_1 A)) (= (tptp.v5_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k2_rlvect_1 A C D) B) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A C B) (tptp.k1_group_1 A D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (= (tptp.v6_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k2_group_1 A)) B)))))) true _let_16 true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_vectsp_1 A)) (= (tptp.v7_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A B _let_1) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D))) (= (tptp.k1_group_1 A _let_1 B) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A C B) (tptp.k1_group_1 A D B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_vectsp_1 A)) (= (tptp.v8_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k2_group_1 A) B) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_vectsp_1 A)) (= (tptp.v9_vectsp_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (not (= B (tptp.k1_rlvect_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (= (tptp.k1_group_1 A B C) (tptp.k2_group_1 A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_vectsp_1 A)) (= (tptp.v10_vectsp_1 A) (= (tptp.k1_rlvect_1 A) (tptp.k2_group_1 A))))) true true true true true true true true true true true true (= _let_15 tptp.np__1) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k3_vectsp_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k3_vectsp_1)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k10_group_1 tptp.k3_vectsp_1 B A))) (let ((_let_2 (tptp.k4_rlvect_1 tptp.k3_vectsp_1 B C))) (let ((_let_3 (tptp.k10_group_1 tptp.k3_vectsp_1 A B))) (let ((_let_4 (tptp.k1_rlvect_1 tptp.k3_vectsp_1))) (let ((_let_5 (tptp.k4_rlvect_1 tptp.k3_vectsp_1 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 tptp.k3_vectsp_1)) (and (= _let_5 (tptp.k4_rlvect_1 tptp.k3_vectsp_1 B A)) (= (tptp.k4_rlvect_1 tptp.k3_vectsp_1 _let_5 C) (tptp.k4_rlvect_1 tptp.k3_vectsp_1 A _let_2)) (= (tptp.k4_rlvect_1 tptp.k3_vectsp_1 A _let_4) A) (= (tptp.k4_rlvect_1 tptp.k3_vectsp_1 A (tptp.k5_rlvect_1 tptp.k3_vectsp_1 A)) _let_4) (= _let_3 _let_1) (= (tptp.k10_group_1 tptp.k3_vectsp_1 _let_3 C) (tptp.k10_group_1 tptp.k3_vectsp_1 A (tptp.k10_group_1 tptp.k3_vectsp_1 B C))) (= (tptp.k10_group_1 tptp.k3_vectsp_1 (tptp.k2_group_1 tptp.k3_vectsp_1) A) A) (not (and (not (= A _let_4)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 tptp.k3_vectsp_1)) (not (= (tptp.k10_group_1 tptp.k3_vectsp_1 A D) (tptp.k2_group_1 tptp.k3_vectsp_1))))))) (= (tptp.k10_group_1 tptp.k3_vectsp_1 A _let_2) (tptp.k4_rlvect_1 tptp.k3_vectsp_1 _let_3 (tptp.k10_group_1 tptp.k3_vectsp_1 A C))) (= (tptp.k10_group_1 tptp.k3_vectsp_1 _let_2 A) (tptp.k4_rlvect_1 tptp.k3_vectsp_1 _let_1 (tptp.k10_group_1 tptp.k3_vectsp_1 C A))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_vectsp_1 A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (and _let_2 _let_1) (= (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (not (and (not (= B (tptp.k1_rlvect_1 A))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (= (tptp.k1_group_1 A B E) (tptp.k2_group_1 A))))))) (= (tptp.k1_group_1 A B _let_1) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D))) (= (tptp.k1_group_1 A _let_1 B) (tptp.k2_rlvect_1 A (tptp.k1_group_1 A C B) (tptp.k1_group_1 A D B))))))))))) (and _let_2 (tptp.v7_vectsp_1 A) (tptp.v9_vectsp_1 A) _let_1)))))) true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k10_group_1 A B C) (tptp.k10_group_1 A B D)) (or (= B (tptp.k1_rlvect_1 A)) (= C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= C (tptp.k4_vectsp_1 A B)) (= (tptp.k10_group_1 A B C) (tptp.k2_group_1 A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_vectsp_1 A B C) (tptp.k10_group_1 A B (tptp.k4_vectsp_1 A C))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B _let_1) _let_1)))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v5_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A _let_1 B) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k5_rlvect_1 A C)) (tptp.k5_rlvect_1 A (tptp.k1_group_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v5_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k5_rlvect_1 A B) C) (tptp.k5_rlvect_1 A (tptp.k1_group_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v7_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k5_rlvect_1 A B) (tptp.k5_rlvect_1 A C)) (tptp.k1_group_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A B (tptp.k6_rlvect_1 A C D)) (tptp.k6_rlvect_1 A (tptp.k1_group_1 A B C) (tptp.k1_group_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k10_group_1 A B C) _let_1) (or (= B _let_1) (= C _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v5_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_group_1 A (tptp.k6_rlvect_1 A B C) D) (tptp.k6_rlvect_1 A (tptp.k1_group_1 A B D) (tptp.k1_group_1 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k6_vectsp_1 A B C D) (tptp.k2_binop_1 (tptp.u1_struct_0 A) _let_1 _let_1 (tptp.u2_vectsp_1 A B) C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k7_vectsp_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 B C) (tptp.k5_rlvect_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l4_vectsp_1 B A)) (= (tptp.v12_vectsp_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k6_vectsp_1 A B D E))) (let ((_let_2 (tptp.k6_vectsp_1 A B C E))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (and (= (tptp.k6_vectsp_1 A B C (tptp.k2_rlvect_1 B E F)) (tptp.k2_rlvect_1 B _let_2 (tptp.k6_vectsp_1 A B C F))) (= (tptp.k6_vectsp_1 A B (tptp.k2_rlvect_1 A C D) E) (tptp.k2_rlvect_1 B _let_2 _let_1)) (= (tptp.k6_vectsp_1 A B (tptp.k1_group_1 A C D) E) (tptp.k6_vectsp_1 A B C _let_1)) (= (tptp.k6_vectsp_1 A B (tptp.k2_group_1 A) E) E))))))))))))))))) true true true true true true true true true true true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (and (= (tptp.k6_vectsp_1 A C (tptp.k1_rlvect_1 A) D) _let_1) (= (tptp.k6_vectsp_1 A C (tptp.k5_rlvect_1 A (tptp.k2_group_1 A)) D) (tptp.k5_rlvect_1 C D)) (= (tptp.k6_vectsp_1 A C B _let_1) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (= (= (tptp.k6_vectsp_1 A C B D) _let_1) (or (= B (tptp.k1_rlvect_1 A)) (= D _let_1)))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (= (tptp.k2_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= (tptp.k5_rlvect_1 A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_rlvect_1 A D C))) (let ((_let_2 (tptp.k5_rlvect_1 A C))) (let ((_let_3 (tptp.k2_rlvect_1 A D _let_2))) (let ((_let_4 (tptp.k6_rlvect_1 A C D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A C D)) (tptp.k6_rlvect_1 A (tptp.k5_rlvect_1 A D) C)) (= (tptp.k5_rlvect_1 A _let_3) _let_4) (= (tptp.k5_rlvect_1 A _let_4) _let_3) (= (tptp.k5_rlvect_1 A (tptp.k6_rlvect_1 A _let_2 D)) _let_1) (= (tptp.k6_rlvect_1 A B _let_1) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A B C) D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k6_rlvect_1 A _let_1 B) (tptp.k5_rlvect_1 A B)) (= (tptp.k6_rlvect_1 A B _let_1) B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (= (tptp.k6_rlvect_1 A B C) _let_1))) (let ((_let_3 (= B C))) (let ((_let_4 (= (tptp.k2_rlvect_1 A B (tptp.k5_rlvect_1 A C)) _let_1))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (=> _let_4 _let_3) (=> _let_3 _let_4) (=> _let_2 _let_3) (=> _let_3 _let_2)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.v12_vectsp_1 C A) (tptp.l4_vectsp_1 C A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (=> (not (= B (tptp.k1_rlvect_1 A))) (= (tptp.k6_vectsp_1 A C (tptp.k4_vectsp_1 A B) (tptp.k6_vectsp_1 A C B D)) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k6_vectsp_1 A B (tptp.k5_rlvect_1 A C) D))) (let ((_let_2 (tptp.k6_vectsp_1 A B C D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (and (= (tptp.k5_rlvect_1 B _let_2) _let_1) (= (tptp.k6_rlvect_1 B E _let_2) (tptp.k2_rlvect_1 B E _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= (tptp.k6_vectsp_1 A B C (tptp.k5_rlvect_1 B D)) (tptp.k5_rlvect_1 B (tptp.k6_vectsp_1 A B C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v6_vectsp_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v12_vectsp_1 B A) (tptp.l4_vectsp_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= (tptp.k6_vectsp_1 A B C (tptp.k6_rlvect_1 B D E)) (tptp.k6_rlvect_1 B (tptp.k6_vectsp_1 A B C D) (tptp.k6_vectsp_1 A B C E))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B (tptp.k1_rlvect_1 A))) (= (tptp.k4_vectsp_1 A (tptp.k4_vectsp_1 A B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (tptp.k4_vectsp_1 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (not (= B _let_1)) (and (not (= _let_2 _let_1)) (not (= (tptp.k5_rlvect_1 A _let_2) _let_1)))))))))) true true true (not (= (tptp.k4_rlvect_1 tptp.k3_vectsp_1 _let_15 _let_15) (tptp.k1_rlvect_1 tptp.k3_vectsp_1))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v13_vectsp_1 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k2_rlvect_1 A B B) _let_1) (= B _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_group_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (= (tptp.v13_vectsp_1 A) (not (= (tptp.k2_rlvect_1 A _let_1 _let_1) (tptp.k1_rlvect_1 A))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k6_rlvect_1 A B C)) (tptp.k6_rlvect_1 A C B)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) (tptp.k1_rlvect_1 A)) (= B C)))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (= (tptp.k5_rlvect_1 A B) _let_1) (= B _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k6_rlvect_1 A B C) _let_1) (= (tptp.k6_rlvect_1 A C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (not (tptp.v10_vectsp_1 A)) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_rlvect_1 A))) (let ((_let_2 (or (= B _let_1) (= D (tptp.k10_group_1 A C (tptp.k4_vectsp_1 A B)))))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (=> (= (tptp.k6_rlvect_1 A (tptp.k10_group_1 A B D) C) _let_1) _let_2) (=> (= (tptp.k6_rlvect_1 A C (tptp.k10_group_1 A D B)) _let_1) _let_2)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k2_rlvect_1 A B C) (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A (tptp.k5_rlvect_1 A C) (tptp.k5_rlvect_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k2_rlvect_1 A C B) (tptp.k2_rlvect_1 A D B)) (tptp.k6_rlvect_1 A C D)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k5_rlvect_1 A (tptp.k2_rlvect_1 A (tptp.k5_rlvect_1 A B) C)) (tptp.k2_rlvect_1 A (tptp.k5_rlvect_1 A C) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A B C) D) (tptp.k6_rlvect_1 A (tptp.k6_rlvect_1 A B D) C)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_group_1 (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v7_group_1 _let_1) (tptp.l1_group_1 _let_1))))) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.l1_group_1 A))) (exists ((A $$unsorted)) (tptp.l1_vectsp_1 A)) (forall ((A $$unsorted)) (=> (tptp.l2_vectsp_1 A) (and (tptp.l1_vectsp_1 A) (tptp.l2_struct_0 A)))) (exists ((A $$unsorted)) (tptp.l2_vectsp_1 A)) (forall ((A $$unsorted)) (=> (tptp.l3_vectsp_1 A) (and (tptp.l1_rlvect_1 A) (tptp.l2_vectsp_1 A)))) (exists ((A $$unsorted)) (tptp.l3_vectsp_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l4_vectsp_1 B A) (tptp.l1_rlvect_1 B))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (exists ((B $$unsorted)) (tptp.l4_vectsp_1 B A)))) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (=> (tptp.v1_vectsp_1 A) (= A (tptp.g1_vectsp_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A) (tptp.u1_vectsp_1 A)))))) (forall ((A $$unsorted)) (=> (tptp.l2_vectsp_1 A) (=> (tptp.v2_vectsp_1 A) (= A (tptp.g2_vectsp_1 (tptp.u1_struct_0 A) (tptp.u1_group_1 A) (tptp.u1_vectsp_1 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted)) (=> (tptp.l3_vectsp_1 A) (=> (tptp.v3_vectsp_1 A) (= A (tptp.g3_vectsp_1 (tptp.u1_struct_0 A) (tptp.u1_rlvect_1 A) (tptp.u1_group_1 A) (tptp.u1_vectsp_1 A) (tptp.u2_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l4_vectsp_1 B A)) (=> (tptp.v11_vectsp_1 B A) (= B (tptp.g4_vectsp_1 A (tptp.u1_struct_0 B) (tptp.u1_rlvect_1 B) (tptp.u2_struct_0 B) (tptp.u2_vectsp_1 A B)))))) (and _let_14 (tptp.l1_rlvect_1 tptp.k1_vectsp_1)) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.k2_vectsp_1 A) (tptp.u1_struct_0 A)))) (and _let_13 (tptp.l3_vectsp_1 tptp.k3_vectsp_1)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k4_vectsp_1 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.v7_vectsp_1 A) (tptp.v8_vectsp_1 A) (tptp.v9_vectsp_1 A) (tptp.l3_vectsp_1 A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_vectsp_1 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l4_vectsp_1 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D _let_1)) (tptp.m1_subset_1 (tptp.k6_vectsp_1 A B C D) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_vectsp_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (tptp.l1_vectsp_1 A) (tptp.m1_subset_1 (tptp.u1_vectsp_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) _let_1))) (let ((_let_3 (tptp.u2_vectsp_1 A B))) (=> (and (tptp.l1_struct_0 A) (tptp.l4_vectsp_1 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_vectsp_1 A B C))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A)) (and (tptp.v1_vectsp_1 _let_1) (tptp.l1_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_vectsp_1 A B C) (tptp.g1_vectsp_1 D E F)) (and (= A D) (= B E) (= C F))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.g2_vectsp_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (and (tptp.v2_vectsp_1 _let_1) (tptp.l2_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.m1_subset_1 C A) (tptp.m1_subset_1 D A)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (=> (= (tptp.g2_vectsp_1 A B C D) (tptp.g2_vectsp_1 E F G H)) (and (= A E) (= B F) (= C G) (= D H))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g3_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (and (tptp.v3_vectsp_1 _let_1) (tptp.l3_vectsp_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m1_relset_1 B _let_1 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m1_relset_1 C _let_1 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E A)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g3_vectsp_1 A B C D E) (tptp.g3_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.g4_vectsp_1 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_3 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 B) (tptp.m1_relset_1 C _let_3 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 B) (tptp.m1_relset_1 E _let_2 B)) (and (tptp.v11_vectsp_1 _let_1 A) (tptp.l4_vectsp_1 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) B))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.l1_struct_0 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 B) (tptp.m1_relset_1 C _let_2 B) (tptp.m1_subset_1 D B) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m1_relset_1 E _let_1 B)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (= (tptp.g4_vectsp_1 A B C D E) (tptp.g4_vectsp_1 F G H I J)) (and (= A F) (= B G) (= C H) (= D I) (= E J)))))))) (exists ((A $$unsorted)) (and (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 A)) (tptp.v1_rlvect_1 A) (tptp.v3_rlvect_1 A) (tptp.v4_rlvect_1 A) (tptp.v1_realset2 A) (tptp.v2_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l1_struct_0 A) (tptp.v3_realset2 A))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (tptp.v3_vectsp_1 A) (not (tptp.v3_realset2 A)))) (exists ((A $$unsorted)) (and (tptp.l3_vectsp_1 A) (tptp.v3_vectsp_1 A) (tptp.v4_realset2 A))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (= (tptp.v1_realset2 A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_struct_0 A))) (let ((_let_2 (tptp.u1_rlvect_1 A))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (and (= (tptp.k1_binop_1 _let_2 B _let_1) B) (= (tptp.k1_binop_1 _let_2 _let_1 B) B))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_rlvect_1 A) (= (tptp.v2_realset2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u2_struct_0 A))) (let ((_let_2 (tptp.u1_rlvect_1 A))) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_binop_1 _let_2 B C) _let_1) (= (tptp.k1_binop_1 _let_2 C B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v4_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_rlvect_1 A))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k1_binop_1 _let_1 (tptp.k1_binop_1 _let_1 B C) D) (tptp.k1_binop_1 _let_1 B (tptp.k1_binop_1 _let_1 C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (= (tptp.v3_rlvect_1 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_rlvect_1 A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k1_binop_1 _let_1 B C) (tptp.k1_binop_1 _let_1 C B)))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v3_realset2 A) (tptp.v1_realset1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_realset1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_xboole_0 A (tptp.k5_realset1 A D))) (forall ((F $$unsorted)) (=> (and (tptp.v3_vectsp_1 F) (not (tptp.v3_realset2 F)) (tptp.l3_vectsp_1 F)) (= (= F (tptp.k1_realset2 A B C D E)) (and (= A (tptp.u1_struct_0 F)) (= B (tptp.u1_rlvect_1 F)) (= C (tptp.u1_group_1 F)) (= D (tptp.u2_struct_0 F)) (= E (tptp.u1_vectsp_1 F)))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.v3_realset2 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= B C)))))))) (forall ((A $$unsorted)) (=> (tptp.l3_vectsp_1 A) (= (tptp.v4_realset2 A) (exists ((B $$unsorted)) (and (not (tptp.v1_realset1 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (exists ((E $$unsorted)) (and (tptp.m3_realset1 E B D) (exists ((F $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 B C D))) (and (tptp.m1_subset_1 F (tptp.k4_xboole_0 B (tptp.k5_realset1 B D))) (= A (tptp.k1_realset2 B C E D F)) (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1) (forall ((G $$unsorted)) (=> (not (tptp.v1_xboole_0 G)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 G G))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_1 G) (tptp.m2_relset_1 H _let_1 G)) (forall ((I $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 G H I))) (=> (tptp.m1_subset_1 I G) (=> (and (= G (tptp.k4_xboole_0 B (tptp.k5_realset1 B D))) (= I F) (= H (tptp.k4_realset1 B D E))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1))))))))))) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G B) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H B) (forall ((I $$unsorted)) (let ((_let_1 (tptp.k4_tarski H I))) (let ((_let_2 (tptp.k1_funct_1 E (tptp.k4_tarski G I)))) (let ((_let_3 (tptp.k4_tarski G H))) (=> (tptp.m1_subset_1 I B) (and (= (tptp.k1_funct_1 E (tptp.k4_tarski G (tptp.k1_funct_1 C _let_1))) (tptp.k1_funct_1 C (tptp.k4_tarski (tptp.k1_funct_1 E _let_3) _let_2))) (= (tptp.k1_funct_1 E (tptp.k4_tarski (tptp.k1_funct_1 C _let_3) I)) (tptp.k1_funct_1 C (tptp.k4_tarski _let_2 (tptp.k1_funct_1 E _let_1))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_realset1 B)) (= (= B (tptp.k2_realset2 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D B) (exists ((E $$unsorted)) (and (tptp.m3_realset1 E B D) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k4_xboole_0 B (tptp.k5_realset1 B D))) (= A (tptp.k1_realset2 B C E D F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k3_realset2 A)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (exists ((D $$unsorted)) (and (tptp.m3_realset1 D (tptp.k2_realset2 A) C) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 E (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 C))) (= A (tptp.k1_realset2 _let_1 B D C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (= (= B (tptp.k4_realset2 A)) (exists ((C $$unsorted)) (and (tptp.m3_realset1 C (tptp.k2_realset2 A) B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 D (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 B))) (= A (tptp.k1_realset2 _let_1 (tptp.k3_realset2 A) C B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_realset1 B (tptp.k2_realset2 A) (tptp.k4_realset2 A)) (= (= B (tptp.k5_realset2 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 _let_1))) (= A (tptp.k1_realset2 _let_2 (tptp.k3_realset2 A) B _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 _let_1))) (= (= B (tptp.k6_realset2 A)) (= A (tptp.k1_realset2 _let_2 (tptp.k3_realset2 A) (tptp.k5_realset2 A) _let_1 B))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 (tptp.k2_realset2 A) (tptp.k3_realset2 A) (tptp.k4_realset2 A)))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 B) (tptp.m2_relset_1 C _let_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.g1_rlvect_1 B C D))) (let ((_let_2 (tptp.k4_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D B) (=> (and (= B (tptp.k4_xboole_0 _let_3 (tptp.k5_realset1 _let_3 _let_2))) (= D (tptp.k6_realset2 A)) (= C (tptp.k4_realset1 _let_3 _let_2 (tptp.k5_realset2 A)))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_rlvect_1 _let_1) (tptp.v4_rlvect_1 _let_1) (tptp.v1_realset2 _let_1) (tptp.v2_realset2 _let_1) (tptp.l1_rlvect_1 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (let ((_let_2 (tptp.k5_realset2 A))) (let ((_let_3 (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B D)))) (let ((_let_4 (tptp.k3_realset2 A))) (let ((_let_5 (tptp.k4_tarski B C))) (=> (tptp.m1_subset_1 D (tptp.k2_realset2 A)) (and (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B (tptp.k1_funct_1 _let_4 _let_1))) (tptp.k1_funct_1 _let_4 (tptp.k4_tarski (tptp.k1_funct_1 _let_2 _let_5) _let_3))) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski (tptp.k1_funct_1 _let_4 _let_5) D)) (tptp.k1_funct_1 _let_4 (tptp.k4_tarski _let_3 (tptp.k1_funct_1 _let_2 _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B C) D) (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 C D))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B C) (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k3_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B _let_3) (and (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 B _let_1) B) (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 _let_1 B) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (let ((_let_2 (tptp.k3_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 C _let_3) (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 B C) _let_1) (= (tptp.k2_binop_1 _let_3 _let_3 _let_3 _let_2 C B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 (tptp.k4_realset2 A)))) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) D)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 (tptp.k4_realset2 A)))) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_realset2 A))) (let ((_let_2 (tptp.k5_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_3 (tptp.k5_realset1 _let_3 (tptp.k4_realset2 A)))) (and (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B _let_1)) B) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski _let_1 B)) B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.k6_realset2 A))) (let ((_let_2 (tptp.k5_realset2 A))) (let ((_let_3 (tptp.k2_realset2 A))) (and (tptp.m1_subset_1 C (tptp.k4_xboole_0 _let_3 (tptp.k5_realset1 _let_3 (tptp.k4_realset2 A)))) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B C)) _let_1) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski C B)) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k7_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_funct_1 (tptp.k3_realset2 A) (tptp.k4_tarski C (tptp.k8_funct_2 _let_1 _let_1 B C))) (tptp.k4_realset2 A))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_1) (=> (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.k3_realset2 A) B C) (tptp.k4_realset2 A)) (= C (tptp.k8_funct_2 _let_1 _let_1 (tptp.k7_realset2 A) B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k7_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B _let_2) (= B (tptp.k8_funct_2 _let_2 _let_2 _let_1 (tptp.k8_funct_2 _let_2 _let_2 _let_1 B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_tarski B C))) (=> (tptp.m1_subset_1 C _let_1) (and (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k3_realset2 A) _let_2) _let_1) (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k5_realset2 A) _let_2) _let_1) (tptp.m1_subset_1 (tptp.k8_funct_2 _let_1 _let_1 (tptp.k7_realset2 A) B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k7_realset2 A))) (let ((_let_3 (tptp.k3_realset2 A))) (let ((_let_4 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_4) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B (tptp.k1_funct_1 _let_3 (tptp.k4_tarski C (tptp.k8_funct_2 _let_4 _let_4 _let_2 D))))) (tptp.k1_funct_1 _let_3 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_2 (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (let ((_let_2 (tptp.k7_realset2 A))) (let ((_let_3 (tptp.k3_realset2 A))) (let ((_let_4 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_4) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski (tptp.k1_funct_1 _let_3 (tptp.k4_tarski B (tptp.k8_funct_2 _let_4 _let_4 _let_2 C))) D)) (tptp.k1_funct_1 _let_3 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B D)) (tptp.k1_funct_1 _let_2 (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B _let_1)) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski _let_1 B)) _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (let ((_let_3 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.k1_funct_1 _let_1 (tptp.k1_funct_1 _let_3 (tptp.k4_tarski B C))) (tptp.k1_funct_1 _let_3 (tptp.k4_tarski B (tptp.k8_funct_2 _let_2 _let_2 _let_1 C))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski (tptp.k6_realset2 A) _let_1)) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k4_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski _let_1 (tptp.k6_realset2 A))) _let_1)))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B C)) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 D (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) D)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski C B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_realset2 A))) (let ((_let_2 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (and (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski B _let_1)) B) (= (tptp.k1_funct_1 _let_2 (tptp.k4_tarski _let_1 B)) B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_2) (tptp.m2_relset_1 B _let_2 _let_2)) (= (= B (tptp.k8_realset2 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 C _let_2) (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski C (tptp.k8_funct_2 _let_2 _let_2 B C))) (tptp.k6_realset2 A))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 C _let_2) (=> (= (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B C)) (tptp.k6_realset2 A)) (= C (tptp.k8_funct_2 _let_2 _let_2 (tptp.k8_realset2 A) B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (let ((_let_3 (tptp.k4_xboole_0 _let_2 (tptp.k5_realset1 _let_2 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 B _let_3) (= B (tptp.k8_funct_2 _let_3 _let_3 _let_1 (tptp.k8_funct_2 _let_3 _let_3 _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (=> (tptp.m1_subset_1 C _let_2) (and (tptp.m1_subset_1 (tptp.k1_funct_1 (tptp.k5_realset2 A) (tptp.k4_tarski B C)) _let_2) (tptp.m1_subset_1 (tptp.k8_funct_2 _let_2 _let_2 (tptp.k8_realset2 A) B) _let_2))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_realset2 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_realset2 A))) (let ((_let_2 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B C) (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 B D)) (= C D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (tptp.m1_subset_1 B (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_realset2 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k5_realset2 A))) (=> (tptp.m1_subset_1 D (tptp.k2_realset2 A)) (=> (= (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B C)) (tptp.k1_funct_1 _let_1 (tptp.k4_tarski B D))) (= C D)))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k1_realset2 A B C D E))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_realset1 A)) (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 A) (tptp.m1_relset_1 B _let_2 A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.m1_subset_1 D A) (tptp.m1_subset_1 E (tptp.k4_xboole_0 A (tptp.k5_realset1 A D)))) (and (tptp.v3_vectsp_1 _let_1) (not (tptp.v3_realset2 _let_1)) (tptp.l3_vectsp_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (not (tptp.v1_realset1 (tptp.k2_realset2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k3_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (tptp.m1_subset_1 (tptp.k4_realset2 A) (tptp.k2_realset2 A)))) (forall ((A $$unsorted)) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (tptp.m3_realset1 (tptp.k5_realset2 A) (tptp.k2_realset2 A) (tptp.k4_realset2 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (tptp.m1_subset_1 (tptp.k6_realset2 A) (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k7_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k2_realset2 A))) (let ((_let_2 (tptp.k4_xboole_0 _let_1 (tptp.k5_realset1 _let_1 (tptp.k4_realset2 A))))) (let ((_let_3 (tptp.k8_realset2 A))) (=> (and (tptp.v4_realset2 A) (tptp.l3_vectsp_1 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_2) (tptp.m2_relset_1 _let_3 _let_2 _let_2))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (not (tptp.v1_xboole_0 (tptp.k5_cat_2 A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (exists ((B $$unsorted)) (and (tptp.m3_cat_2 B A) (tptp.v1_cat_1 B) (tptp.v2_cat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel B C))) (let ((_let_2 (tptp.k3_funct_5 D))) (let ((_let_3 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 C) (tptp.m2_relset_1 D _let_3 C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel B C))) (let ((_let_2 (tptp.k5_funct_5 D))) (let ((_let_3 (tptp.k2_zfmisc_1 B A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 C) (tptp.m2_relset_1 D _let_3 C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (= (tptp.k8_funct_2 _let_1 C F (tptp.k1_domain_1 A B D E)) (tptp.k8_funct_2 B C (tptp.k1_cat_2 A B C (tptp.k1_fraenkel B C) (tptp.k2_cat_2 A B C F) D) E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 C) (tptp.m2_relset_1 F _let_1 C)) (= (tptp.k8_funct_2 _let_1 C F (tptp.k1_domain_1 A B D E)) (tptp.k8_funct_2 A C (tptp.k1_cat_2 B A C (tptp.k1_fraenkel A C) (tptp.k3_cat_2 A B C F) E) D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (= (tptp.k4_cat_2 A B C) (tptp.k10_pboole (tptp.u2_cat_1 A) (tptp.k10_cat_1 B C))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 A) (tptp.k4_cat_2 B A C) D) (tptp.k10_cat_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 A) (tptp.k12_cat_1 B A (tptp.k4_cat_2 B A C)) D) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (= (= C (tptp.k5_cat_2 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (tptp.m2_cat_1 D A B))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (= (tptp.m1_cat_2 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D C) (tptp.m2_cat_1 D A B)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.m3_cat_2 B A) (and (tptp.r1_tarski (tptp.u1_cat_1 B) (tptp.u1_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (=> (and (= C E) (= D F)) (tptp.r1_tarski (tptp.k6_cat_1 B C D) (tptp.k6_cat_1 A E F))))))))))) (tptp.r1_tarski (tptp.u5_cat_1 B) (tptp.u5_cat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (=> (= C D) (= (tptp.k10_cat_1 B C) (tptp.k10_cat_1 A D))))))))))))) true true true true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (tptp.m1_subset_1 C (tptp.u1_cat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (tptp.r1_tarski (tptp.u2_cat_1 B) (tptp.u2_cat_1 A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 B)) (tptp.m1_subset_1 C (tptp.u2_cat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (=> (= C D) (and (= (tptp.k2_cat_1 B C) (tptp.k2_cat_1 A D)) (= (tptp.k3_cat_1 B C) (tptp.k3_cat_1 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (forall ((G $$unsorted)) (=> (tptp.m1_cat_1 G B C D) (=> (and (= C E) (= D F)) (or (= (tptp.k6_cat_1 B C D) tptp.k1_xboole_0) (tptp.m1_cat_1 G A E F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u2_cat_1 A)) (=> (and (= C E) (= D F) (= (tptp.k2_cat_1 B D) (tptp.k3_cat_1 B C))) (= (tptp.k4_cat_1 B C D) (tptp.k4_cat_1 A E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (tptp.m3_cat_2 A A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (tptp.m2_cat_1 (tptp.k15_cat_1 B) B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (= (tptp.k8_cat_2 A B) (tptp.k15_cat_1 B)))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u2_cat_1 A) (tptp.k8_cat_2 A B) C) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 A) (tptp.k12_cat_1 B A (tptp.k8_cat_2 A B)) C) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (= (tptp.k13_cat_1 B A (tptp.k8_cat_2 A B) C) C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (tptp.v10_cat_1 (tptp.k8_cat_2 A B) B A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (= (tptp.v9_cat_1 (tptp.k8_cat_2 A B) B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (=> (and (= C E) (= D F)) (= (tptp.k6_cat_1 B C D) (tptp.k6_cat_1 A E F)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_cat_1 A) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.r1_cat_2 A B) (and (tptp.m3_cat_2 A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 B)) (=> (and (= C E) (= D F)) (= (tptp.k6_cat_1 A C D) (tptp.k6_cat_1 B E F))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (= (tptp.r1_cat_2 B A) (tptp.v9_cat_1 (tptp.k8_cat_2 A B) B A)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.u1_cat_1 B))) (let ((_let_4 (tptp.u1_cat_1 A))) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k11_cat_2 A B) (tptp.g1_cat_1 (tptp.k2_zfmisc_1 _let_4 _let_3) (tptp.k2_zfmisc_1 _let_2 _let_1) (tptp.k9_cat_2 _let_2 _let_1 _let_4 _let_3 (tptp.u3_cat_1 A) (tptp.u3_cat_1 B)) (tptp.k9_cat_2 _let_2 _let_1 _let_4 _let_3 (tptp.u4_cat_1 A) (tptp.u4_cat_1 B)) (tptp.k10_cat_2 _let_2 _let_1 (tptp.u5_cat_1 A) (tptp.u5_cat_1 B)) (tptp.k9_cat_2 _let_4 _let_3 _let_2 _let_1 (tptp.u6_cat_1 A) (tptp.u6_cat_1 B)))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.u1_cat_1 B))) (let ((_let_4 (tptp.u1_cat_1 A))) (let ((_let_5 (tptp.k11_cat_2 A B))) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (and (= (tptp.u1_cat_1 _let_5) (tptp.k2_zfmisc_1 _let_4 _let_3)) (= (tptp.u2_cat_1 _let_5) (tptp.k2_zfmisc_1 _let_2 _let_1)) (= (tptp.u3_cat_1 _let_5) (tptp.k9_cat_2 _let_2 _let_1 _let_4 _let_3 (tptp.u3_cat_1 A) (tptp.u3_cat_1 B))) (= (tptp.u4_cat_1 _let_5) (tptp.k9_cat_2 _let_2 _let_1 _let_4 _let_3 (tptp.u4_cat_1 A) (tptp.u4_cat_1 B))) (= (tptp.u5_cat_1 _let_5) (tptp.k10_cat_2 _let_2 _let_1 (tptp.u5_cat_1 A) (tptp.u5_cat_1 B))) (= (tptp.u6_cat_1 _let_5) (tptp.k9_cat_2 _let_4 _let_3 _let_2 _let_1 (tptp.u6_cat_1 A) (tptp.u6_cat_1 B))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.u1_cat_1 A) _let_1 C D) (tptp.u1_cat_1 (tptp.k11_cat_2 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k11_cat_2 A B))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (= C (tptp.k12_cat_2 A B D E)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (=> (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 (tptp.k1_domain_1 (tptp.u2_cat_1 A) _let_1 C D) (tptp.u2_cat_1 (tptp.k11_cat_2 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k11_cat_2 A B))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u2_cat_1 B)) (= C (tptp.k13_cat_2 A B D E)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k13_cat_2 A B C D))) (let ((_let_2 (tptp.k11_cat_2 A B))) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 B)) (and (= (tptp.k2_cat_1 _let_2 _let_1) (tptp.k12_cat_2 A B (tptp.k2_cat_1 A C) (tptp.k2_cat_1 B D))) (= (tptp.k3_cat_1 _let_2 _let_1) (tptp.k12_cat_2 A B (tptp.k3_cat_1 A C) (tptp.k3_cat_1 B D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u2_cat_1 B)) (=> (and (= (tptp.k2_cat_1 A D) (tptp.k3_cat_1 A C)) (= (tptp.k2_cat_1 B F) (tptp.k3_cat_1 B E))) (= (tptp.k4_cat_1 (tptp.k11_cat_2 A B) (tptp.k13_cat_2 A B C E) (tptp.k13_cat_2 A B D F)) (tptp.k13_cat_2 A B (tptp.k4_cat_1 A C D) (tptp.k4_cat_1 B E F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u2_cat_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k13_cat_2 A B D F))) (let ((_let_2 (tptp.k13_cat_2 A B C E))) (let ((_let_3 (tptp.k11_cat_2 A B))) (=> (tptp.m1_subset_1 F (tptp.u2_cat_1 B)) (=> (= (tptp.k2_cat_1 _let_3 _let_1) (tptp.k3_cat_1 _let_3 _let_2)) (= (tptp.k4_cat_1 _let_3 _let_2 _let_1) (tptp.k13_cat_2 A B (tptp.k4_cat_1 A C D) (tptp.k4_cat_1 B E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 B)) (= (tptp.k10_cat_1 (tptp.k11_cat_2 A B) (tptp.k12_cat_2 A B C D)) (tptp.k13_cat_2 A B (tptp.k10_cat_1 A C) (tptp.k10_cat_1 B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 B)) (= (tptp.k6_cat_1 (tptp.k11_cat_2 A B) (tptp.k12_cat_2 A B C E) (tptp.k12_cat_2 A B D F)) (tptp.k2_zfmisc_1 (tptp.k6_cat_1 A C D) (tptp.k6_cat_1 B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 A)) (forall ((E $$unsorted)) (=> (tptp.m1_cat_1 E A C D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 B)) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_cat_1 B)) (forall ((H $$unsorted)) (=> (tptp.m1_cat_1 H B F G) (not (and (not (= (tptp.k6_cat_1 A C D) tptp.k1_xboole_0)) (not (= (tptp.k6_cat_1 B F G) tptp.k1_xboole_0)) (not (tptp.m1_cat_1 (tptp.k13_cat_2 A B E H) (tptp.k11_cat_2 A B) (tptp.k12_cat_2 A B C F) (tptp.k12_cat_2 A B D G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (tptp.m2_cat_1 (tptp.k1_funct_1 (tptp.k3_funct_5 D) (tptp.k10_cat_1 A E)) B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (tptp.m2_cat_1 (tptp.k1_funct_1 (tptp.k5_funct_5 D) (tptp.k10_cat_1 B E)) A C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (= (tptp.k14_cat_2 A B C D E) (tptp.k1_funct_1 (tptp.k3_funct_5 D) (tptp.k10_cat_1 A E))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u2_cat_1 B))) (=> (tptp.m1_subset_1 F _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 (tptp.k14_cat_2 A B C D E) F) (tptp.k8_funct_2 (tptp.u2_cat_1 (tptp.k11_cat_2 A B)) _let_1 D (tptp.k13_cat_2 A B (tptp.k10_cat_1 A E) F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (let ((_let_2 (tptp.u1_cat_1 C))) (let ((_let_3 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 F _let_3) (= (tptp.k8_funct_2 _let_3 _let_2 (tptp.k12_cat_1 B C (tptp.k14_cat_2 A B C D E)) F) (tptp.k8_funct_2 (tptp.u1_cat_1 _let_1) _let_2 (tptp.k12_cat_1 _let_1 C D) (tptp.k12_cat_2 A B E F)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (= (tptp.k15_cat_2 A B C D E) (tptp.k1_funct_1 (tptp.k5_funct_5 D) (tptp.k10_cat_1 B E))))))))))))) true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 F _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 (tptp.k15_cat_2 A B C D E) F) (tptp.k8_funct_2 (tptp.u2_cat_1 (tptp.k11_cat_2 A B)) _let_1 D (tptp.k13_cat_2 A B F (tptp.k10_cat_1 B E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_cat_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (let ((_let_2 (tptp.u1_cat_1 C))) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 B)) (= (tptp.k8_funct_2 (tptp.u1_cat_1 A) _let_2 (tptp.k12_cat_1 A C (tptp.k15_cat_2 A B C D F)) E) (tptp.k8_funct_2 (tptp.u1_cat_1 _let_1) _let_2 (tptp.k12_cat_1 _let_1 C D) (tptp.k12_cat_2 A B E F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_cat_2 B C))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k7_cat_2 A C))) (let ((_let_2 (tptp.u1_cat_1 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (not (and (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_cat_1 A)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 G _let_2) (= (tptp.k8_funct_2 (tptp.u2_cat_1 A) _let_1 (tptp.k6_cat_2 _let_2 A C (tptp.k7_cat_2 A C) E G) (tptp.k10_cat_1 A F)) (tptp.k8_funct_2 (tptp.u2_cat_1 B) _let_1 (tptp.k6_cat_2 (tptp.u1_cat_1 A) B C (tptp.k7_cat_2 B C) D F) (tptp.k10_cat_1 B G))))))))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u2_cat_1 B)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k7_cat_2 B C))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.u2_cat_1 C))) (let ((_let_4 (tptp.u2_cat_1 B))) (let ((_let_5 (tptp.k7_cat_2 A C))) (let ((_let_6 (tptp.u1_cat_1 B))) (let ((_let_7 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 G _let_7) (= (tptp.k4_cat_1 C (tptp.k8_funct_2 _let_4 _let_3 (tptp.k6_cat_2 _let_2 B C _let_1 D (tptp.k2_cat_1 A G)) F) (tptp.k8_funct_2 _let_7 _let_3 (tptp.k6_cat_2 _let_6 A C _let_5 E (tptp.k3_cat_1 B F)) G)) (tptp.k4_cat_1 C (tptp.k8_funct_2 _let_7 _let_3 (tptp.k6_cat_2 _let_6 A C _let_5 E (tptp.k2_cat_1 B F)) G) (tptp.k8_funct_2 _let_4 _let_3 (tptp.k6_cat_2 _let_2 B C _let_1 D (tptp.k3_cat_1 A G)) F)))))))))))))) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F (tptp.k11_cat_2 B A) C) (not (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u2_cat_1 B)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 C))) (let ((_let_2 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 H _let_2) (= (tptp.k8_funct_2 (tptp.u2_cat_1 (tptp.k11_cat_2 B A)) _let_1 F (tptp.k13_cat_2 B A G H)) (tptp.k4_cat_1 C (tptp.k8_funct_2 _let_2 _let_1 (tptp.k6_cat_2 (tptp.u1_cat_1 B) A C (tptp.k7_cat_2 A C) E (tptp.k2_cat_1 B G)) H) (tptp.k8_funct_2 (tptp.u2_cat_1 B) _let_1 (tptp.k6_cat_2 (tptp.u1_cat_1 A) B C (tptp.k7_cat_2 B C) D (tptp.k3_cat_1 A H)) G)))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_cat_2 B C))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k7_cat_2 A C))) (let ((_let_2 (tptp.u1_cat_1 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (exists ((F $$unsorted)) (and (tptp.m2_cat_1 F (tptp.k11_cat_2 B A) C) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_cat_1 A)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 H _let_1) (and (= (tptp.k15_cat_2 B A C F G) (tptp.k6_cat_2 (tptp.u1_cat_1 A) B C (tptp.k7_cat_2 B C) D G)) (= (tptp.k14_cat_2 B A C F H) (tptp.k6_cat_2 _let_1 A C (tptp.k7_cat_2 A C) E H)))))))))) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u2_cat_1 B)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k7_cat_2 B C))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.u2_cat_1 C))) (let ((_let_4 (tptp.u2_cat_1 B))) (let ((_let_5 (tptp.k7_cat_2 A C))) (let ((_let_6 (tptp.u1_cat_1 B))) (let ((_let_7 (tptp.u2_cat_1 A))) (=> (tptp.m1_subset_1 G _let_7) (= (tptp.k4_cat_1 C (tptp.k8_funct_2 _let_4 _let_3 (tptp.k6_cat_2 _let_2 B C _let_1 D (tptp.k2_cat_1 A G)) F) (tptp.k8_funct_2 _let_7 _let_3 (tptp.k6_cat_2 _let_6 A C _let_5 E (tptp.k3_cat_1 B F)) G)) (tptp.k4_cat_1 C (tptp.k8_funct_2 _let_7 _let_3 (tptp.k6_cat_2 _let_6 A C _let_5 E (tptp.k2_cat_1 B F)) G) (tptp.k8_funct_2 _let_4 _let_3 (tptp.k6_cat_2 _let_2 B C _let_1 D (tptp.k3_cat_1 A G)) F))))))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k9_funct_3 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B)) (tptp.k11_cat_2 A B) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k10_funct_3 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B)) (tptp.k11_cat_2 A B) B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k16_cat_2 A B) (tptp.k9_funct_3 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k17_cat_2 A B) (tptp.k10_funct_3 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B))))))) true true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u2_cat_1 B)) (= (tptp.k8_funct_2 (tptp.u2_cat_1 (tptp.k11_cat_2 A B)) (tptp.u2_cat_1 A) (tptp.k16_cat_2 A B) (tptp.k13_cat_2 A B C D)) C))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 B)) (= (tptp.k8_funct_2 (tptp.u1_cat_1 _let_1) (tptp.u1_cat_1 A) (tptp.k12_cat_1 _let_1 A (tptp.k16_cat_2 A B)) (tptp.k12_cat_2 A B C D)) C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 B))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 (tptp.u2_cat_1 (tptp.k11_cat_2 A B)) _let_1 (tptp.k17_cat_2 A B) (tptp.k13_cat_2 A B C D)) D)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (let ((_let_2 (tptp.u1_cat_1 B))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k8_funct_2 (tptp.u1_cat_1 _let_1) _let_2 (tptp.k12_cat_1 _let_1 B (tptp.k17_cat_2 A B)) (tptp.k12_cat_2 A B C D)) D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A C) (tptp.m2_cat_1 (tptp.k14_funct_3 (tptp.u2_cat_1 A) (tptp.u2_cat_1 B) (tptp.u2_cat_1 C) D E) A (tptp.k11_cat_2 B C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_1 D A B) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A C) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (let ((_let_2 (tptp.k11_cat_2 B C))) (=> (tptp.m1_subset_1 F _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 _let_2) (tptp.k12_cat_1 A _let_2 (tptp.k18_cat_2 A B C D E)) F) (tptp.k12_cat_2 B C (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 B) (tptp.k12_cat_1 A B D) F) (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 C) (tptp.k12_cat_1 A C E) F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v2_cat_1 D) (tptp.l1_cat_1 D)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A C))) (=> (tptp.m2_cat_1 F C D) (= (tptp.k9_cat_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 C) (tptp.u2_cat_1 B) (tptp.u2_cat_1 D) E F) (tptp.k18_cat_2 _let_1 B D (tptp.k14_cat_1 _let_1 A B (tptp.k16_cat_2 A C) E) (tptp.k14_cat_1 _let_1 C D (tptp.k17_cat_2 A C) F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v2_cat_1 D) (tptp.l1_cat_1 D)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F C D) (tptp.m2_cat_1 (tptp.k9_cat_2 (tptp.u2_cat_1 A) (tptp.u2_cat_1 C) (tptp.u2_cat_1 B) (tptp.u2_cat_1 D) E F) (tptp.k11_cat_2 A C) (tptp.k11_cat_2 B D)))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_cat_1 C) (tptp.l1_cat_1 C)) (forall ((D $$unsorted)) (=> (and (tptp.v2_cat_1 D) (tptp.l1_cat_1 D)) (forall ((E $$unsorted)) (=> (tptp.m2_cat_1 E A B) (forall ((F $$unsorted)) (=> (tptp.m2_cat_1 F C D) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G (tptp.u1_cat_1 A)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 C))) (let ((_let_2 (tptp.k11_cat_2 B D))) (let ((_let_3 (tptp.k11_cat_2 A C))) (=> (tptp.m1_subset_1 H _let_1) (= (tptp.k8_funct_2 (tptp.u1_cat_1 _let_3) (tptp.u1_cat_1 _let_2) (tptp.k12_cat_1 _let_3 _let_2 (tptp.k19_cat_2 A C B D E F)) (tptp.k12_cat_2 A C G H)) (tptp.k12_cat_2 B D (tptp.k8_funct_2 (tptp.u1_cat_1 A) (tptp.u1_cat_1 B) (tptp.k12_cat_1 A B E) G) (tptp.k8_funct_2 _let_1 (tptp.u1_cat_1 D) (tptp.k12_cat_1 C D F) H)))))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_cat_2 C A B) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (exists ((C $$unsorted)) (tptp.m1_cat_2 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_cat_2 C A B)) (forall ((D $$unsorted)) (=> (tptp.m2_cat_2 D A B C) (tptp.m2_cat_1 D A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_cat_2 C A B)) (exists ((D $$unsorted)) (tptp.m2_cat_2 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_cat_2 C A B)) (forall ((D $$unsorted)) (= (tptp.m2_cat_2 D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_cat_2 B A) (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (exists ((B $$unsorted)) (tptp.m3_cat_2 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 C)) (tptp.m1_fraenkel D B C) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A D) (tptp.m1_relset_1 E A D) (tptp.m1_subset_1 F A)) (tptp.m2_fraenkel (tptp.k1_cat_2 A B C D E F) B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 C)) (tptp.m1_fraenkel D B C) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A D) (tptp.m1_relset_1 E A D) (tptp.m1_subset_1 F A)) (= (tptp.k1_cat_2 A B C D E F) (tptp.k1_funct_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel B C))) (let ((_let_2 (tptp.k2_cat_2 A B C D))) (let ((_let_3 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 C) (tptp.m1_relset_1 D _let_3 C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C)) (= (tptp.k2_cat_2 A B C D) (tptp.k3_funct_5 D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_fraenkel A C))) (let ((_let_2 (tptp.k3_cat_2 A B C D))) (let ((_let_3 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 C) (tptp.m1_relset_1 D _let_3 C)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 B _let_1) (tptp.m2_relset_1 _let_2 B _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 C) (tptp.m1_relset_1 D _let_1 C)) (= (tptp.k3_cat_2 A B C D) (tptp.k5_funct_5 D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_subset_1 C (tptp.u1_cat_1 B))) (tptp.m2_cat_1 (tptp.k4_cat_2 A B C) A B))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m1_cat_2 D B C) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A D) (tptp.m1_relset_1 E A D) (tptp.m1_subset_1 F A)) (tptp.m2_cat_2 (tptp.k6_cat_2 A B C D E F) B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m1_cat_2 D B C) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A D) (tptp.m1_relset_1 E A D) (tptp.m1_subset_1 F A)) (= (tptp.k6_cat_2 A B C D E F) (tptp.k1_funct_1 E F)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m1_cat_2 (tptp.k7_cat_2 A B) A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (= (tptp.k7_cat_2 A B) (tptp.k5_cat_2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.m3_cat_2 B A)) (tptp.m2_cat_1 (tptp.k8_cat_2 A B) B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 C D))) (let ((_let_2 (tptp.k2_zfmisc_1 A B))) (let ((_let_3 (tptp.k9_cat_2 A B C D E F))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m1_relset_1 E A C) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m1_relset_1 F B D)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (not (tptp.v1_xboole_0 C)) (not (tptp.v1_xboole_0 D)) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m1_relset_1 E A C) (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B D) (tptp.m1_relset_1 F B D)) (= (tptp.k9_cat_2 A B C D E F) (tptp.k15_funct_3 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k10_cat_2 A B C D))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.m1_relset_1 C (tptp.k2_zfmisc_1 A A) A) (tptp.v1_funct_1 D) (tptp.m1_relset_1 D (tptp.k2_zfmisc_1 B B) B)) (and (tptp.v1_funct_1 _let_2) (tptp.m2_relset_1 _let_2 (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.v1_funct_1 C) (tptp.m1_relset_1 C (tptp.k2_zfmisc_1 A A) A) (tptp.v1_funct_1 D) (tptp.m1_relset_1 D (tptp.k2_zfmisc_1 B B) B)) (= (tptp.k10_cat_2 A B C D) (tptp.k3_funct_4 C D)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k11_cat_2 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (and (tptp.v2_cat_1 _let_1) (tptp.l1_cat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (tptp.m1_subset_1 D (tptp.u1_cat_1 B))) (tptp.m1_subset_1 (tptp.k12_cat_2 A B C D) (tptp.u1_cat_1 (tptp.k11_cat_2 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_subset_1 C (tptp.u1_cat_1 A)) (tptp.m1_subset_1 D (tptp.u1_cat_1 B))) (= (tptp.k12_cat_2 A B C D) (tptp.k4_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (tptp.m1_subset_1 D (tptp.u2_cat_1 B))) (tptp.m1_subset_1 (tptp.k13_cat_2 A B C D) (tptp.u2_cat_1 (tptp.k11_cat_2 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.m1_subset_1 C (tptp.u2_cat_1 A)) (tptp.m1_subset_1 D (tptp.u2_cat_1 B))) (= (tptp.k13_cat_2 A B C D) (tptp.k4_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (tptp.m1_subset_1 E (tptp.u1_cat_1 A))) (tptp.m2_cat_1 (tptp.k14_cat_2 A B C D E) B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D (tptp.k11_cat_2 A B) C) (tptp.m1_subset_1 E (tptp.u1_cat_1 B))) (tptp.m2_cat_1 (tptp.k15_cat_2 A B C D E) A C))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k16_cat_2 A B) (tptp.k11_cat_2 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B)) (tptp.m2_cat_1 (tptp.k17_cat_2 A B) (tptp.k11_cat_2 A B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A C)) (tptp.m2_cat_1 (tptp.k18_cat_2 A B C D E) A (tptp.k11_cat_2 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.m2_cat_1 D A B) (tptp.m2_cat_1 E A C)) (= (tptp.k18_cat_2 A B C D E) (tptp.k13_funct_3 D E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.v2_cat_1 D) (tptp.l1_cat_1 D) (tptp.m2_cat_1 E A C) (tptp.m2_cat_1 F B D)) (tptp.m2_cat_1 (tptp.k19_cat_2 A B C D E F) (tptp.k11_cat_2 A B) (tptp.k11_cat_2 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (tptp.v2_cat_1 C) (tptp.l1_cat_1 C) (tptp.v2_cat_1 D) (tptp.l1_cat_1 D) (tptp.m2_cat_1 E A C) (tptp.m2_cat_1 F B D)) (= (tptp.k19_cat_2 A B C D E F) (tptp.k15_funct_3 E F)))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k3_tarski (tptp.a_2_0_cat_2 A B)))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_subset_1 _let_1 (tptp.k1_zfmisc_1 (tptp.u2_cat_1 A))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (let ((_let_3 (tptp.k2_partfun1 _let_2 _let_1 (tptp.u6_cat_1 A) B))) (let ((_let_4 (tptp.k1_realset1 (tptp.u5_cat_1 A) C))) (let ((_let_5 (tptp.k2_partfun1 _let_1 _let_2 (tptp.u4_cat_1 A) C))) (let ((_let_6 (tptp.k2_partfun1 _let_1 _let_2 (tptp.u3_cat_1 A) C))) (=> (not (tptp.v1_xboole_0 C)) (=> (= C (tptp.k3_tarski (tptp.a_2_0_cat_2 A B))) (and (tptp.v1_funct_1 _let_6) (tptp.v1_funct_2 _let_6 C B) (tptp.m2_relset_1 _let_6 C B) (tptp.v1_funct_1 _let_5) (tptp.v1_funct_2 _let_5 C B) (tptp.m2_relset_1 _let_5 C B) (tptp.v1_funct_1 _let_4) (tptp.m2_relset_1 _let_4 (tptp.k2_zfmisc_1 C C) C) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 B C) (tptp.m2_relset_1 _let_3 B C))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D C B) (tptp.m2_relset_1 D C B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C B) (tptp.m2_relset_1 E C B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F (tptp.k2_zfmisc_1 C C) C)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G B C) (tptp.m2_relset_1 G B C)) (=> (and (= C (tptp.k3_tarski (tptp.a_2_0_cat_2 A B))) (= D (tptp.k2_partfun1 _let_1 _let_2 (tptp.u3_cat_1 A) C)) (= E (tptp.k2_partfun1 _let_1 _let_2 (tptp.u4_cat_1 A) C)) (= F (tptp.k1_realset1 (tptp.u5_cat_1 A) C)) (= G (tptp.k2_partfun1 _let_2 _let_1 (tptp.u6_cat_1 A) B))) (tptp.r1_cat_2 (tptp.g1_cat_1 B C D E F G) A)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D C B) (tptp.m2_relset_1 D C B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C B) (tptp.m2_relset_1 E C B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.m2_relset_1 F (tptp.k2_zfmisc_1 C C) C)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u2_cat_1 A))) (let ((_let_2 (tptp.u1_cat_1 A))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G B C) (tptp.m2_relset_1 G B C)) (=> (tptp.r1_cat_2 (tptp.g1_cat_1 B C D E F G) A) (and (= C (tptp.k3_tarski (tptp.a_2_0_cat_2 A B))) (= D (tptp.k2_partfun1 _let_1 _let_2 (tptp.u3_cat_1 A) C)) (= E (tptp.k2_partfun1 _let_1 _let_2 (tptp.u4_cat_1 A) C)) (= F (tptp.k1_realset1 (tptp.u5_cat_1 A) C)) (= G (tptp.k2_partfun1 _let_2 _let_1 (tptp.u6_cat_1 A) B)))))))))))))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_cat_1 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_cat_2 B C)) (exists ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (and (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1) (= A (tptp.k6_cat_1 B D E)) (tptp.r2_hidden D C) (tptp.r2_hidden E C))))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v3_filter_0 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 _let_1 (tptp.v3_filter_0 A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v11_lattices A) (tptp.v12_lattices A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (not (tptp.v1_xboole_0 (tptp.k5_filter_0 A B C)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k3_lattices A C D))) (let ((_let_2 (tptp.k3_lattices A D B))) (let ((_let_3 (tptp.k3_lattices A D C))) (let ((_let_4 (tptp.k3_lattices A B D))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (and (tptp.r3_lattices A _let_2 _let_3) (tptp.r3_lattices A _let_4 _let_1) (tptp.r3_lattices A _let_4 _let_3) (tptp.r3_lattices A _let_2 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (and (tptp.r3_lattices A (tptp.k4_lattices A B D) C) (tptp.r3_lattices A (tptp.k4_lattices A D B) C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (and (tptp.r3_lattices A B (tptp.k3_lattices A D C)) (tptp.r3_lattices A B (tptp.k3_lattices A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k3_lattices A B D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r3_lattices A B C) (tptp.r3_lattices A D E)) (and (tptp.r3_lattices A _let_1 (tptp.k3_lattices A C E)) (tptp.r3_lattices A _let_1 (tptp.k3_lattices A E C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k4_lattices A B D))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (and (tptp.r3_lattices A B C) (tptp.r3_lattices A D E)) (and (tptp.r3_lattices A _let_1 (tptp.k4_lattices A C E)) (tptp.r3_lattices A _let_1 (tptp.k4_lattices A E C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r3_lattices A B C) (tptp.r3_lattices A D C)) (tptp.r3_lattices A (tptp.k3_lattices A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r3_lattices A B C) (tptp.r3_lattices A B D)) (tptp.r3_lattices A B (tptp.k4_lattices A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k4_lattices A C D) B))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m1_filter_0 B A) (and (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (tptp.r2_hidden (tptp.k4_lattices A C D) B)))))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r3_lattices A C D)) (tptp.r2_hidden D B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (tptp.r2_hidden B D) (and (tptp.r2_hidden (tptp.k3_lattices A B C) D) (tptp.r2_hidden (tptp.k3_lattices A C B) D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.r2_hidden C B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (tptp.r2_hidden (tptp.k6_lattices A) B)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 _let_1) (=> (and _let_3 _let_2 (tptp.v14_lattices A) _let_1) (tptp.m1_filter_0 (tptp.k6_domain_1 (tptp.u1_struct_0 A) (tptp.k6_lattices A)) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (=> (tptp.m1_filter_0 (tptp.k6_domain_1 _let_1 B) A) (tptp.v14_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.m1_filter_0 (tptp.u1_struct_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k1_filter_0 A) (tptp.u1_struct_0 A)))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden B (tptp.k2_filter_0 A C)) (tptp.r3_lattices A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_filter_0 A B))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden (tptp.k3_lattices A B C) _let_1) (tptp.r2_hidden (tptp.k3_lattices A C B) _let_1))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 _let_1) (=> (and _let_3 _let_2 (tptp.v13_lattices A) _let_1) (= (tptp.k1_filter_0 A) (tptp.k2_filter_0 A (tptp.k5_lattices A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (= (tptp.v1_filter_0 B A) (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (=> (tptp.r1_tarski B C) (or (= C (tptp.u1_struct_0 A)) (= B C))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (tptp.v13_lattices A) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (not (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (not (and (tptp.r1_tarski B C) (tptp.v1_filter_0 C A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (not (and (not (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A B C) B)))) (= (tptp.k2_filter_0 A B) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (not (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A) (not (= B (tptp.k5_lattices A))) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (not (and (tptp.r2_hidden B C) (tptp.v1_filter_0 C A))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (= C (tptp.k3_filter_0 A B)) (and (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (tptp.r1_tarski B D) (tptp.r1_tarski C D)))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (= (tptp.k3_filter_0 A B) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r1_tarski B C) (tptp.r1_tarski (tptp.k3_filter_0 A B) (tptp.k3_filter_0 A C))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (tptp.r2_hidden B C) (tptp.r1_tarski (tptp.k2_filter_0 A B) (tptp.k3_filter_0 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (=> (= C (tptp.k6_domain_1 _let_1 B)) (= (tptp.k3_filter_0 A C) (tptp.k2_filter_0 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_filter_0 A B))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A) (tptp.r2_hidden (tptp.k5_lattices A) B)) (and (= _let_2 (tptp.k1_filter_0 A)) (= _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A) (tptp.r2_hidden (tptp.k5_lattices A) B)) (and (= B (tptp.k1_filter_0 A)) (= B (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (= (tptp.v2_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r2_hidden (tptp.k3_lattices A C D) B) (or (tptp.r2_hidden C B) (tptp.r2_hidden D B)))))))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 _let_1) (=> (and _let_3 _let_2 (tptp.v17_lattices A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (tptp.r3_lattices A (tptp.k4_lattices A B (tptp.k3_lattices A (tptp.k7_lattices A B) C)) C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A (tptp.k4_lattices A B D) C) (tptp.r3_lattices A D (tptp.k3_lattices A (tptp.k7_lattices A B) C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (= (tptp.v3_filter_0 A) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_lattices A (tptp.k2_lattices A B D) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r1_lattices A (tptp.k2_lattices A B E) C) (tptp.r1_lattices A E D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (= D (tptp.k4_filter_0 A B C)) (and (tptp.r3_lattices A (tptp.k4_lattices A B D) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A (tptp.k4_lattices A B E) C) (tptp.r3_lattices A E D))))))))))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (tptp.v14_lattices A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k4_filter_0 A B B) (tptp.k6_lattices A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (tptp.v11_lattices A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (tptp.v3_filter_0 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden (tptp.k4_filter_0 A B C) D)) (tptp.r2_hidden C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (tptp.r2_hidden B D) (tptp.r2_hidden (tptp.k4_filter_0 A C B) D)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k5_filter_0 A D E))) (=> (and (not (tptp.v1_xboole_0 E)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden C E)) (and (tptp.r2_hidden (tptp.k4_lattices A B C) _let_1) (tptp.r2_hidden (tptp.k4_lattices A C B) _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r2_hidden B (tptp.k5_filter_0 A C D)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (not (and (= B (tptp.k4_lattices A E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k5_filter_0 A B C) (tptp.k5_filter_0 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 B C)))) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1))) (and (= _let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 (tptp.k3_filter_0 A B) C))) (= _let_2 (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 B (tptp.k3_filter_0 A C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_filter_0 A B C))) (=> (tptp.m1_filter_0 C A) (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (tptp.k3_filter_0 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) B C)) (tptp.k3_filter_0 A (tptp.k5_filter_0 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (tptp.k3_filter_0 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) B C)) (tptp.k6_filter_0 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (tptp.k3_filter_0 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) B C)) (tptp.k7_filter_0 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1))) (=> (tptp.r2_hidden B (tptp.k3_filter_0 A (tptp.k4_subset_1 _let_1 D (tptp.k6_domain_1 _let_1 C)))) (tptp.r2_hidden (tptp.k4_filter_0 A C B) (tptp.k3_filter_0 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_filter_0 E A) (=> (and (tptp.r2_hidden (tptp.k4_filter_0 A B C) E) (tptp.r2_hidden (tptp.k4_filter_0 A C D) E)) (tptp.r2_hidden (tptp.k4_filter_0 A B D) E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k4_filter_0 A B C) (tptp.k3_lattices A (tptp.k7_lattices A B) C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r3_lattices A B C) (= (tptp.k4_lattices A B (tptp.k7_lattices A C)) (tptp.k5_lattices A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (= (tptp.v1_filter_0 B A) (and (not (= B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (or (tptp.r2_hidden C B) (tptp.r2_hidden (tptp.k7_lattices A C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (= (and (not (= B (tptp.k1_filter_0 A))) (tptp.v2_filter_0 B A)) (tptp.v1_filter_0 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (tptp.v1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C B) (not (tptp.r2_hidden (tptp.k7_lattices A C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (and (not (= B C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.r2_hidden C D))) (let ((_let_2 (tptp.r2_hidden B D))) (=> (tptp.m1_filter_0 D A) (not (and (tptp.v1_filter_0 D A) (or (and _let_2 (not _let_1)) (and (not _let_2) _let_1)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.l3_lattices C)) (= (= C (tptp.k8_filter_0 A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B) (exists ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B) (= D (tptp.k1_realset1 (tptp.u2_lattices A) B)) (= E (tptp.k1_realset1 (tptp.u1_lattices A) B)) (= C (tptp.g3_lattices B D E))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k8_filter_0 A (tptp.k1_filter_0 A)) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A B))) (=> (tptp.m1_filter_0 B A) (and (= (tptp.u1_struct_0 _let_1) B) (= (tptp.u2_lattices _let_1) (tptp.k1_realset1 (tptp.u2_lattices A) B)) (= (tptp.u1_lattices _let_1) (tptp.k1_realset1 (tptp.u1_lattices A) B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k8_filter_0 A D))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A D))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= B E) (= C F)) (and (= (tptp.k3_lattices A B C) (tptp.k3_lattices _let_1 E F)) (= (tptp.k4_lattices A B C) (tptp.k4_lattices _let_1 E F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 (tptp.k8_filter_0 A D))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A D))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 _let_1)) (=> (and (= B E) (= C F)) (= (tptp.r3_lattices A B C) (tptp.r3_lattices _let_1 E F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (tptp.v14_lattices A) (tptp.v14_lattices (tptp.k8_filter_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (tptp.v12_lattices A) (tptp.v12_lattices (tptp.k8_filter_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (tptp.v11_lattices A) (tptp.v11_lattices (tptp.k8_filter_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (tptp.v3_filter_0 (tptp.k8_filter_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v13_lattices (tptp.k8_filter_0 A (tptp.k2_filter_0 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k5_lattices (tptp.k8_filter_0 A (tptp.k2_filter_0 A B))) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (tptp.v14_lattices A) (= (tptp.k6_lattices (tptp.k8_filter_0 A (tptp.k2_filter_0 A B))) (tptp.k6_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (tptp.v15_lattices (tptp.k8_filter_0 A (tptp.k2_filter_0 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A (tptp.k2_filter_0 A B)))) (let ((_let_2 (tptp.l3_lattices A))) (let ((_let_3 (tptp.v10_lattices A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and _let_4 _let_3 (tptp.v15_lattices A) (tptp.v16_lattices A) _let_2 _let_4 _let_3 (tptp.v12_lattices A) _let_2) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.l3_lattices _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A (tptp.k2_filter_0 A B)))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v17_lattices _let_1) (tptp.l3_lattices _let_1)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_filter_0 A B C) (tptp.k4_lattices A (tptp.k4_filter_0 A B C) (tptp.k4_filter_0 A C B))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_filter_0 A B C) (tptp.k9_filter_0 A C B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_filter_0 E A) (=> (and (tptp.r2_hidden (tptp.k9_filter_0 A B C) E) (tptp.r2_hidden (tptp.k9_filter_0 A C D) E)) (tptp.r2_hidden (tptp.k9_filter_0 A B D) E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.v1_relat_1 C) (= (= C (tptp.k10_filter_0 A B)) (and (tptp.r1_tarski (tptp.k3_relat_1 C) (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.r2_hidden (tptp.k1_domain_1 _let_1 _let_1 D E) C) (tptp.r2_hidden (tptp.k9_filter_0 A D E) B))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_filter_0 B A) (tptp.m2_relset_1 (tptp.k10_filter_0 A B) _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (tptp.r1_relat_2 (tptp.k10_filter_0 A B) (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (tptp.r3_relat_2 (tptp.k10_filter_0 A B) (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (tptp.r8_relat_2 (tptp.k10_filter_0 A B) (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k10_filter_0 A B))) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (= (tptp.k3_relat_1 (tptp.k10_filter_0 A B)) (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r1_filter_0 A B C D) (tptp.r2_hidden (tptp.k9_filter_0 A C D) B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_filter_0 D A) (= (tptp.r1_filter_0 A D B C) (tptp.r2_hidden (tptp.k1_domain_1 _let_1 _let_1 B C) (tptp.k10_filter_0 A D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v3_filter_0 C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_filter_0 E C) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (and (tptp.r1_filter_0 C E D D) (tptp.r1_filter_0 A B F F)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_filter_0 D A) (=> (tptp.r1_filter_0 A D B C) (tptp.r1_filter_0 A D C B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v3_filter_0 C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (forall ((G $$unsorted)) (=> (tptp.m1_filter_0 G C) (forall ((H $$unsorted)) (=> (tptp.m1_subset_1 H (tptp.u1_struct_0 A)) (forall ((I $$unsorted)) (=> (tptp.m1_subset_1 I (tptp.u1_struct_0 A)) (forall ((J $$unsorted)) (=> (tptp.m1_subset_1 J (tptp.u1_struct_0 A)) (and (=> (and (tptp.r1_filter_0 C G D E) (tptp.r1_filter_0 C G E F)) (tptp.r1_filter_0 C G D F)) (=> (and (tptp.r1_filter_0 A B H I) (tptp.r1_filter_0 A B I J)) (tptp.r1_filter_0 A B H J))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m1_filter_0 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.m1_filter_0 (tptp.k1_filter_0 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.u1_struct_0 A))) (tptp.m1_filter_0 (tptp.k2_filter_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m1_filter_0 (tptp.k3_filter_0 A B) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k4_filter_0 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k5_filter_0 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (tptp.m1_filter_0 (tptp.k6_filter_0 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (= (tptp.k6_filter_0 A B C) (tptp.k5_filter_0 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (tptp.m1_filter_0 (tptp.k7_filter_0 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (= (tptp.k7_filter_0 A B C) (tptp.k5_filter_0 A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_filter_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k9_filter_0 A B C) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (tptp.v1_relat_1 (tptp.k10_filter_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k11_filter_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (= (tptp.k11_filter_0 A B) (tptp.k10_filter_0 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k12_filter_0 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (and (tptp.v3_relat_2 _let_2) (tptp.v8_relat_2 _let_2) (tptp.v1_partfun1 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (= (tptp.k12_filter_0 A B) (tptp.k10_filter_0 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (= (tptp.k2_filter_0 A B) (tptp.a_2_0_filter_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k5_filter_0 A B C) (tptp.a_3_0_filter_0 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (= (tptp.k3_filter_0 A (tptp.k4_subset_1 (tptp.u1_struct_0 A) B C)) (tptp.a_3_1_filter_0 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_0_filter_0 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A D) (tptp.r3_lattices B C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C _let_1) (not (tptp.v1_xboole_0 D)) (tptp.m1_subset_1 D _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_filter_0 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (tptp.m1_subset_1 F _let_1) (= A (tptp.k4_lattices B E F)) (tptp.r2_hidden E C) (tptp.r2_hidden F D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_filter_0 C B) (tptp.m1_filter_0 D B)) (= (tptp.r2_hidden A (tptp.a_3_1_filter_0 B C D)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A E) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.u1_struct_0 B)) (tptp.r3_lattices B (tptp.k4_lattices B F G) E) (tptp.r2_hidden F C) (tptp.r2_hidden G D)))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.l1_lattices A)) (and (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v2_binop_1 _let_3 _let_1) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v1_lattice2 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 _let_1 (tptp.v1_lattice2 A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v13_lattices A) (tptp.v3_filter_0 A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 _let_1 (tptp.v13_lattices A) (tptp.v3_filter_0 A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v1_lattice2 A))))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.v3_filter_0 A) (tptp.v1_lattice2 A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 (tptp.v6_group_1 A) _let_1) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v13_lattices A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 (tptp.v6_group_1 A) _let_1) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v14_lattices A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 (tptp.v6_group_1 A) _let_1) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.v10_lattices A))) (let ((_let_2 (not (tptp.v3_struct_0 A)))) (=> (tptp.l3_lattices A) (=> (and _let_2 (tptp.v6_group_1 A) _let_1 (tptp.v11_lattices A)) (and _let_2 (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) _let_1 (tptp.v13_lattices A) (tptp.v3_filter_0 A) (tptp.v1_lattice2 A))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (= (tptp.k1_relat_1 (tptp.k2_partfun1 A B D C)) C))))))) true true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (= (= (tptp.k2_partfun1 A B D C) (tptp.k2_partfun1 A B E C)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F C) (= (tptp.k1_funct_1 E F) (tptp.k1_funct_1 D F)))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_funct_4 C (tptp.k2_partfun1 A B D E)))) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (= (tptp.k1_funct_4 (tptp.k2_partfun1 A B D C) E) E))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v1_relat_1 A) (tptp.v1_funct_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_relat_1 B) (tptp.v1_funct_1 B)) (=> (tptp.r1_tarski B A) (= (tptp.k1_funct_4 A B) A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (= (tptp.k1_funct_4 D (tptp.k2_partfun1 A B D C)) D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F C) (= (tptp.k1_funct_1 D F) (tptp.k1_funct_1 E F))))) (= (tptp.k1_funct_4 E (tptp.k2_partfun1 A B D C)) E)))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 A)) (= (tptp.k1_funct_4 (tptp.k2_partfun1 A B C E) D) D))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 A)) (= (tptp.k1_relat_1 (tptp.k2_partfun1 A B C D)) D))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 A)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F E) (= (tptp.k1_funct_1 C F) (tptp.k1_funct_1 D F))))) (= (tptp.k1_funct_4 D (tptp.k2_partfun1 A B C E)) D)))))))))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k5_finsub_1 A)) (=> (= (tptp.k2_partfun1 A B C E) (tptp.k2_partfun1 A B D E)) (= (tptp.k2_funct_2 A B C E) (tptp.k2_funct_2 A B D E))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.r1_lattice2 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (= (tptp.k2_binop_1 A A A B D (tptp.k2_binop_1 A A A C D E)) D)))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_lattices A))) (let ((_let_2 (tptp.u1_lattices A))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (=> (and (tptp.v1_binop_1 _let_1 _let_3) (tptp.v2_binop_1 _let_1 _let_3) (tptp.v1_binop_1 _let_2 _let_3) (tptp.v2_binop_1 _let_2 _let_3) (tptp.r1_lattice2 _let_3 _let_1 _let_2) (tptp.r1_lattice2 _let_3 _let_2 _let_1)) (tptp.v10_lattices A))))))) (forall ((A $$unsorted)) (=> (tptp.l3_lattices A) (= (tptp.k1_lattice2 A) (tptp.g3_lattices (tptp.u1_struct_0 A) (tptp.u1_lattices A) (tptp.u2_lattices A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (and (= (tptp.u1_struct_0 A) (tptp.u1_struct_0 _let_1)) (= (tptp.u2_lattices A) (tptp.u1_lattices _let_1)) (= (tptp.u1_lattices A) (tptp.u2_lattices _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_lattices A) (tptp.l3_lattices A)) (= (tptp.k1_lattice2 (tptp.k1_lattice2 A)) A))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k3_lattices A B C) C))) (= B (tptp.k5_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u2_lattices A) B C) C)))) (= B (tptp.k5_lattices A))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k4_lattices A B C) C))) (= B (tptp.k6_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (=> (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.u1_lattices A) B C) C)))) (= B (tptp.k6_lattices A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.v3_binop_1 (tptp.u2_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.l2_lattices A)) (tptp.v1_binop_1 (tptp.u2_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_lattices A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (tptp.v1_setwiseo _let_1 _let_2) (= (tptp.k5_lattices A) (tptp.k3_binop_1 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v5_lattices A) (tptp.l2_lattices A)) (tptp.v2_binop_1 (tptp.u2_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.v3_binop_1 (tptp.u1_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v6_lattices A) (tptp.l1_lattices A)) (tptp.v1_binop_1 (tptp.u1_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v7_lattices A) (tptp.l1_lattices A)) (tptp.v2_binop_1 (tptp.u1_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_lattices A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (tptp.v1_setwiseo _let_1 _let_2) (= (tptp.k6_lattices A) (tptp.k3_binop_1 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.r6_binop_1 (tptp.u1_struct_0 A) _let_1 _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 _let_1) (=> (and _let_3 _let_2 (tptp.v11_lattices A) _let_1) (tptp.r6_binop_1 (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (tptp.r6_binop_1 (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)) (tptp.v11_lattices A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 _let_1) (=> (and _let_3 _let_2 (tptp.v11_lattices A) _let_1) (tptp.r6_binop_1 (tptp.u1_struct_0 A) (tptp.u1_lattices A) (tptp.u2_lattices A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (=> (tptp.r6_binop_1 (tptp.u1_struct_0 A) (tptp.u1_lattices A) (tptp.u2_lattices A)) (tptp.v11_lattices A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_lattices A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.r6_binop_1 (tptp.u1_struct_0 A) _let_1 _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.r1_lattice2 (tptp.u1_struct_0 A) (tptp.u2_lattices A) (tptp.u1_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.r1_lattice2 (tptp.u1_struct_0 A) (tptp.u1_lattices A) (tptp.u2_lattices A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.k2_lattice2 A B C D) (tptp.k7_setwiseo A _let_1 (tptp.u2_lattices B) C D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (= (tptp.k3_lattice2 A B C D) (tptp.k7_setwiseo A _let_1 (tptp.u1_lattices B) C D))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B _let_1) (tptp.m2_relset_1 E B _let_1)) (=> (tptp.r2_hidden C D) (tptp.r3_lattices A (tptp.k8_funct_2 B _let_1 E C) (tptp.k2_lattice2 B A D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C _let_1) (tptp.m2_relset_1 E C _let_1)) (=> (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (tptp.r2_hidden F D) (tptp.r3_lattices A B (tptp.k8_funct_2 C (tptp.u1_struct_0 A) E F)))) (tptp.r3_lattices A B (tptp.k2_lattice2 C A D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C _let_1) (tptp.m2_relset_1 E C _let_1)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (=> (tptp.r2_hidden F D) (= (tptp.k8_funct_2 C (tptp.u1_struct_0 A) E F) B)))) (or (= D tptp.k1_xboole_0) (= (tptp.k2_lattice2 C A D E) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C _let_1) (tptp.m2_relset_1 E C _let_1)) (=> (tptp.r3_lattices A (tptp.k2_lattice2 C A D E) B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (=> (tptp.r2_hidden F D) (tptp.r3_lattices A (tptp.k8_funct_2 C (tptp.u1_struct_0 A) E F) B)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C _let_1) (tptp.m2_relset_1 E C _let_1)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (=> (tptp.r2_hidden F D) (tptp.r3_lattices A (tptp.k8_funct_2 C (tptp.u1_struct_0 A) E F) B)))) (or (= D tptp.k1_xboole_0) (tptp.r3_lattices A (tptp.k2_lattice2 C A D E) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_1) (tptp.m2_relset_1 D B _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B _let_1) (tptp.m2_relset_1 E B _let_1)) (=> (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 F B) (=> (tptp.r2_hidden F C) (tptp.r3_lattices A (tptp.k8_funct_2 B _let_1 D F) (tptp.k8_funct_2 B _let_1 E F)))))) (or (= C tptp.k1_xboole_0) (tptp.r3_lattices A (tptp.k2_lattice2 B A C D) (tptp.k2_lattice2 B A C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_1) (tptp.m2_relset_1 D B _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B _let_1) (tptp.m2_relset_1 E B _let_1)) (=> (= (tptp.k2_partfun1 B _let_1 D C) (tptp.k2_partfun1 B _let_1 E C)) (or (= C tptp.k1_xboole_0) (= (tptp.k2_lattice2 B A C D) (tptp.k2_lattice2 B A C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C _let_1) (tptp.m2_relset_1 E C _let_1)) (=> (not (= D tptp.k1_xboole_0)) (= (tptp.k3_lattices A B (tptp.k2_lattice2 C A D E)) (tptp.k2_lattice2 C A D (tptp.k8_funcop_1 _let_1 C (tptp.u2_lattices A) B E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A _let_2) (tptp.m2_relset_1 E A _let_2)) (=> (= D E) (and (= (tptp.k2_lattice2 A B C D) (tptp.k3_lattice2 A _let_1 C E)) (= (tptp.k3_lattice2 A B C D) (tptp.k2_lattice2 A _let_1 C E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_lattice2 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= B D) (= C E)) (and (= (tptp.k4_lattices A B C) (tptp.k3_lattices _let_1 D E)) (= (tptp.k3_lattices A B C) (tptp.k4_lattices _let_1 D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_lattice2 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (= B D) (= C E)) (tptp.r3_lattices _let_1 E D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k1_lattice2 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 _let_1)) (=> (and (tptp.r3_lattices _let_1 D E) (= B D) (= C E)) (tptp.r3_lattices A C B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B _let_1) (tptp.m2_relset_1 E B _let_1)) (=> (tptp.r2_hidden C D) (tptp.r3_lattices A (tptp.k3_lattice2 B A D E) (tptp.k8_funct_2 B _let_1 E C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C _let_1) (tptp.m2_relset_1 E C _let_1)) (=> (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F C) (tptp.r2_hidden F D) (tptp.r3_lattices A (tptp.k8_funct_2 C (tptp.u1_struct_0 A) E F) B))) (tptp.r3_lattices A (tptp.k3_lattice2 C A D E) B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C _let_1) (tptp.m2_relset_1 E C _let_1)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (=> (tptp.r2_hidden F D) (= (tptp.k8_funct_2 C (tptp.u1_struct_0 A) E F) B)))) (or (= D tptp.k1_xboole_0) (= (tptp.k3_lattice2 C A D E) B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C _let_1) (tptp.m2_relset_1 E C _let_1)) (=> (not (= D tptp.k1_xboole_0)) (= (tptp.k4_lattices A B (tptp.k3_lattice2 C A D E)) (tptp.k3_lattice2 C A D (tptp.k8_funcop_1 _let_1 C (tptp.u1_lattices A) B E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C _let_1) (tptp.m2_relset_1 E C _let_1)) (=> (tptp.r3_lattices A B (tptp.k3_lattice2 C A D E)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (=> (tptp.r2_hidden F D) (tptp.r3_lattices A B (tptp.k8_funct_2 C (tptp.u1_struct_0 A) E F))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_1) (tptp.m2_relset_1 D B _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B _let_1) (tptp.m2_relset_1 E B _let_1)) (=> (= (tptp.k2_partfun1 B _let_1 D C) (tptp.k2_partfun1 B _let_1 E C)) (or (= C tptp.k1_xboole_0) (= (tptp.k3_lattice2 B A C D) (tptp.k3_lattice2 B A C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E C _let_1) (tptp.m2_relset_1 E C _let_1)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (=> (tptp.r2_hidden F D) (tptp.r3_lattices A B (tptp.k8_funct_2 C (tptp.u1_struct_0 A) E F))))) (or (= D tptp.k1_xboole_0) (tptp.r3_lattices A B (tptp.k3_lattice2 C A D E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D B _let_1) (tptp.m2_relset_1 D B _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E B _let_1) (tptp.m2_relset_1 E B _let_1)) (=> (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 F B) (=> (tptp.r2_hidden F C) (tptp.r3_lattices A (tptp.k8_funct_2 B _let_1 D F) (tptp.k8_funct_2 B _let_1 E F)))))) (or (= C tptp.k1_xboole_0) (tptp.r3_lattices A (tptp.k3_lattice2 B A C D) (tptp.k3_lattice2 B A C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.v13_lattices A) (tptp.v14_lattices (tptp.k1_lattice2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.v14_lattices A) (tptp.v13_lattices (tptp.k1_lattice2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (let ((_let_2 (tptp.l3_lattices A))) (let ((_let_3 (tptp.v10_lattices A))) (let ((_let_4 (not (tptp.v3_struct_0 A)))) (=> (and _let_4 _let_3 _let_2) (= (and _let_4 _let_3 (tptp.v11_lattices A) _let_2) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v11_lattices _let_1) (tptp.l3_lattices _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (tptp.r3_binop_1 (tptp.u1_struct_0 A) (tptp.k5_lattices A) (tptp.u2_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (tptp.v1_setwiseo (tptp.u2_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (= (tptp.k5_lattices A) (tptp.k3_binop_1 (tptp.u1_struct_0 A) (tptp.u2_lattices A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v13_lattices C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A _let_1) (tptp.m2_relset_1 E A _let_1)) (=> (= (tptp.k2_partfun1 A _let_1 D B) (tptp.k2_partfun1 A _let_1 E B)) (= (tptp.k2_lattice2 A C B D) (tptp.k2_lattice2 A C B E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v13_lattices C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F B) (tptp.r3_lattices C (tptp.k8_funct_2 A (tptp.u1_struct_0 C) D F) E)))) (tptp.r3_lattices C (tptp.k2_lattice2 A C B D) E))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v13_lattices C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A _let_1) (tptp.m2_relset_1 E A _let_1)) (=> (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F B) (tptp.r3_lattices C (tptp.k8_funct_2 A _let_1 D F) (tptp.k8_funct_2 A _let_1 E F)))))) (tptp.r3_lattices C (tptp.k2_lattice2 A C B D) (tptp.k2_lattice2 A C B E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (tptp.r3_binop_1 (tptp.u1_struct_0 A) (tptp.k6_lattices A) (tptp.u1_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (tptp.v1_setwiseo (tptp.u1_lattices A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (= (tptp.k6_lattices A) (tptp.k3_binop_1 (tptp.u1_struct_0 A) (tptp.u1_lattices A))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v14_lattices C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A _let_1) (tptp.m2_relset_1 E A _let_1)) (=> (= (tptp.k2_partfun1 A _let_1 D B) (tptp.k2_partfun1 A _let_1 E B)) (= (tptp.k3_lattice2 A C B D) (tptp.k3_lattice2 A C B E))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v14_lattices C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 C)) (=> (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F B) (tptp.r3_lattices C E (tptp.k8_funct_2 A (tptp.u1_struct_0 C) D F))))) (tptp.r3_lattices C E (tptp.k3_lattice2 A C B D)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v14_lattices C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A _let_1) (tptp.m2_relset_1 E A _let_1)) (=> (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 F A) (=> (tptp.r2_hidden F B) (tptp.r3_lattices C (tptp.k8_funct_2 A _let_1 D F) (tptp.k8_funct_2 A _let_1 E F)))))) (tptp.r3_lattices C (tptp.k3_lattice2 A C B D) (tptp.k3_lattice2 A C B E))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (= (tptp.k5_lattices A) (tptp.k6_lattices (tptp.k1_lattice2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (= (tptp.k6_lattices A) (tptp.k5_lattices (tptp.k1_lattice2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (tptp.r6_binop_1 (tptp.u1_struct_0 A) (tptp.u1_lattices A) (tptp.u2_lattices A)))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v11_lattices C) (tptp.v13_lattices C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_lattices C))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k2_binop_1 _let_2 _let_2 _let_2 _let_1 E (tptp.k2_lattice2 A C B D)) (tptp.k2_lattice2 A C B (tptp.k8_funcop_1 _let_2 A _let_1 E D)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v11_lattices C) (tptp.v13_lattices C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A _let_1) (tptp.m2_relset_1 E A _let_1)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 C)) (=> (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 G A) (=> (tptp.r2_hidden G B) (= (tptp.k8_funct_2 A _let_1 D G) (tptp.k4_lattices C F (tptp.k8_funct_2 A _let_1 E G))))))) (= (tptp.k4_lattices C F (tptp.k2_lattice2 A C B E)) (tptp.k2_lattice2 A C B D))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.v11_lattices C) (tptp.v13_lattices C) (tptp.l3_lattices C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m2_relset_1 D A _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (=> (tptp.m1_subset_1 E _let_1) (= (tptp.k4_lattices C E (tptp.k2_lattice2 A C B D)) (tptp.k2_lattice2 A C B (tptp.k8_funcop_1 _let_1 A (tptp.u1_lattices C) E D))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.v1_lattice2 A) (and (tptp.v3_filter_0 A) (tptp.v13_lattices A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.l3_lattices A))) (let ((_let_2 (tptp.v10_lattices A))) (let ((_let_3 (not (tptp.v3_struct_0 A)))) (=> (and _let_3 _let_2 (tptp.v13_lattices A) _let_1) (= (and _let_3 _let_2 (tptp.v1_lattice2 A) _let_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k4_lattices A B D) C) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (=> (tptp.r3_lattices A (tptp.k4_lattices A B E) C) (tptp.r3_lattices A E D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.v6_group_1 A) (tptp.v6_group_1 (tptp.k1_lattice2 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lattice2 A))) (=> (tptp.l3_lattices A) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (tptp.m1_subset_1 (tptp.k2_lattice2 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.k5_finsub_1 A)) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A _let_1) (tptp.m1_relset_1 D A _let_1)) (tptp.m1_subset_1 (tptp.k3_lattice2 A B C D) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A)) (not (tptp.v1_xboole_0 (tptp.k7_eqrel_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v4_lattices _let_1) (tptp.v5_lattices _let_1) (tptp.v6_lattices _let_1) (tptp.v7_lattices _let_1) (tptp.v8_lattices _let_1) (tptp.v9_lattices _let_1) (tptp.v10_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_filter_0 C A) (tptp.m1_filter_0 (tptp.k5_subset_1 (tptp.u1_struct_0 A) B C) A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (= (tptp.k2_filter_0 A B) (tptp.k2_filter_0 A C)) (= B C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (= (tptp.m1_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (tptp.r2_hidden (tptp.k1_domain_1 A A D E) B) (tptp.r2_hidden (tptp.k1_domain_1 A A (tptp.k8_funct_2 A A C D) (tptp.k8_funct_2 A A C E)) B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.v1_relat_1 B) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (= (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (=> (and (tptp.r2_hidden (tptp.k1_domain_1 A A D E) B) (tptp.r2_hidden (tptp.k1_domain_1 A A F G) B)) (tptp.r2_hidden (tptp.k1_domain_1 A A (tptp.k2_binop_1 A A A C D F) (tptp.k2_binop_1 A A A C E G)) B)))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)) (=> (tptp.m1_filter_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (= (= D (tptp.k3_filter_1 A B C)) (forall ((E $$unsorted) (F $$unsorted)) (=> (and (tptp.r2_hidden E (tptp.k8_eqrel_1 A B)) (tptp.r2_hidden F E)) (= (tptp.k1_funct_1 D E) (tptp.k6_eqrel_1 A B (tptp.k1_funct_1 C F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (=> (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (= (= D (tptp.k4_filter_1 A B C)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted) (H $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (=> (and (tptp.r2_hidden E _let_1) (tptp.r2_hidden F _let_1) (tptp.r2_hidden G E) (tptp.r2_hidden H F)) (= (tptp.k1_binop_1 D E F) (tptp.k6_eqrel_1 A B (tptp.k1_binop_1 C G H))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (=> (tptp.m2_filter_1 E A B) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.k4_filter_1 A B E) (tptp.k2_filter_1 A B C) (tptp.k2_filter_1 A B D)) (tptp.k2_filter_1 A B (tptp.k2_binop_1 A A A E C D)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (=> (tptp.v1_binop_1 C A) (tptp.v1_binop_1 (tptp.k4_filter_1 A B C) (tptp.k8_eqrel_1 A B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (=> (tptp.v2_binop_1 C A) (tptp.v2_binop_1 (tptp.k4_filter_1 A B C) (tptp.k8_eqrel_1 A B))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r1_binop_1 A C D) (tptp.r1_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k2_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r2_binop_1 A C D) (tptp.r2_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k2_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r3_binop_1 A C D) (tptp.r3_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k2_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r4_binop_1 A C D) (tptp.r4_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k4_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r5_binop_1 A C D) (tptp.r5_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k4_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r6_binop_1 A C D) (tptp.r6_binop_1 (tptp.k8_eqrel_1 A B) (tptp.k4_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (forall ((C $$unsorted)) (=> (tptp.m2_filter_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m2_filter_1 D A B) (=> (tptp.r1_lattice2 A C D) (tptp.r1_lattice2 (tptp.k8_eqrel_1 A B) (tptp.k4_filter_1 A B C) (tptp.k4_filter_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (tptp.m2_filter_1 (tptp.u2_lattices A) (tptp.u1_struct_0 A) (tptp.k11_filter_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (tptp.m2_filter_1 (tptp.u1_lattices A) (tptp.u1_struct_0 A) (tptp.k11_filter_0 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_lattices C) (tptp.v10_lattices C) (tptp.l3_lattices C)) (= (= C (tptp.k5_filter_1 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_relat_2 D) (tptp.v8_relat_2 D) (tptp.v1_partfun1 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (=> (= D (tptp.k10_filter_0 A B)) (= C (tptp.g3_lattices (tptp.k8_eqrel_1 _let_1 D) (tptp.k4_filter_1 _let_1 D (tptp.u2_lattices A)) (tptp.k4_filter_1 _let_1 D (tptp.u1_lattices A)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 (tptp.k5_filter_1 A B))) (= (= D (tptp.k6_filter_1 A B C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_relat_2 E) (tptp.v8_relat_2 E) (tptp.v1_partfun1 E _let_1 _let_1) (tptp.m2_relset_1 E _let_1 _let_1)) (=> (= E (tptp.k10_filter_0 A B)) (= D (tptp.k2_filter_1 _let_1 E C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_filter_1 A B D))) (let ((_let_2 (tptp.k6_filter_1 A B C))) (let ((_let_3 (tptp.k5_filter_1 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (= (tptp.k3_lattices _let_3 _let_2 _let_1) (tptp.k6_filter_1 A B (tptp.k3_lattices A C D))) (= (tptp.k4_lattices _let_3 _let_2 _let_1) (tptp.k6_filter_1 A B (tptp.k4_lattices A C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.r3_lattices (tptp.k5_filter_1 A B) (tptp.k6_filter_1 A B C) (tptp.k6_filter_1 A B D)) (tptp.r2_hidden (tptp.k4_filter_0 A C D) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= (tptp.k4_filter_0 A (tptp.k4_lattices A B C) D) (tptp.k4_filter_0 A B (tptp.k4_filter_0 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_filter_1 A B))) (=> (tptp.m1_filter_0 B A) (=> (tptp.v13_lattices A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v13_lattices _let_1) (tptp.l3_lattices _let_1) (= (tptp.k5_lattices _let_1) (tptp.k6_filter_1 A B (tptp.k5_lattices A)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_filter_1 A B))) (=> (tptp.m1_filter_0 B A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v14_lattices _let_1) (tptp.l3_lattices _let_1) (= (tptp.k6_lattices _let_1) (tptp.k6_filter_1 A B (tptp.k6_lattices A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (tptp.v3_filter_0 (tptp.k5_filter_1 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_filter_1 A B))) (=> (tptp.m1_filter_0 B A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v17_lattices _let_1) (tptp.l3_lattices _let_1))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_1 A) (tptp.m2_relset_1 G _let_1 A)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_2 B) (tptp.m2_relset_1 H _let_2 B)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 (tptp.k7_filter_1 A B G H) (tptp.k1_domain_1 A B C E) (tptp.k1_domain_1 A B D F)) (tptp.k1_domain_1 A B (tptp.k2_binop_1 A A A G C D) (tptp.k2_binop_1 B B B H E F)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B)) (= (and (tptp.v1_binop_1 C A) (tptp.v1_binop_1 D B)) (tptp.v1_binop_1 (tptp.k7_filter_1 A B C D) (tptp.k2_zfmisc_1 A B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m2_relset_1 D _let_1 B)) (= (and (tptp.v2_binop_1 C A) (tptp.v2_binop_1 D B)) (tptp.v2_binop_1 (tptp.k7_filter_1 A B C D) (tptp.k2_zfmisc_1 A B))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 A) (tptp.m2_relset_1 E _let_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r1_binop_1 A C E) (tptp.r1_binop_1 B D F)) (tptp.r1_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k1_domain_1 A B C D) (tptp.k7_filter_1 A B E F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 A) (tptp.m2_relset_1 E _let_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r2_binop_1 A C E) (tptp.r2_binop_1 B D F)) (tptp.r2_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k1_domain_1 A B C D) (tptp.k7_filter_1 A B E F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 A) (tptp.m2_relset_1 E _let_1 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r3_binop_1 A C E) (tptp.r3_binop_1 B D F)) (tptp.r3_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k1_domain_1 A B C D) (tptp.k7_filter_1 A B E F))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r4_binop_1 A C D) (tptp.r4_binop_1 B E F)) (tptp.r4_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k7_filter_1 A B C E) (tptp.k7_filter_1 A B D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r5_binop_1 A C D) (tptp.r5_binop_1 B E F)) (tptp.r5_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k7_filter_1 A B C E) (tptp.k7_filter_1 A B D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r6_binop_1 A C D) (tptp.r6_binop_1 B E F)) (tptp.r6_binop_1 (tptp.k2_zfmisc_1 A B) (tptp.k7_filter_1 A B C E) (tptp.k7_filter_1 A B D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 A) (tptp.m2_relset_1 D _let_1 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_1 B) (tptp.m2_relset_1 E _let_1 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_1 B) (tptp.m2_relset_1 F _let_1 B)) (= (and (tptp.r1_lattice2 A C D) (tptp.r1_lattice2 B E F)) (tptp.r1_lattice2 (tptp.k2_zfmisc_1 A B) (tptp.k7_filter_1 A B C E) (tptp.k7_filter_1 A B D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (= (tptp.k8_filter_1 A B) (tptp.g3_lattices (tptp.k2_zfmisc_1 _let_2 _let_1) (tptp.k7_filter_1 _let_2 _let_1 (tptp.u2_lattices A) (tptp.u2_lattices B)) (tptp.k7_filter_1 _let_2 _let_1 (tptp.u1_lattices A) (tptp.u1_lattices B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.r2_hidden (tptp.k1_domain_1 _let_1 _let_1 B C) (tptp.k9_filter_1 A)) (tptp.r3_lattices A B C))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k9_filter_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (and (= (tptp.k1_relat_1 _let_2) _let_1) (= (tptp.k2_relat_1 _let_2) _let_1) (= (tptp.k3_relat_1 _let_2) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.r1_filter_1 A B) (tptp.r4_wellord1 (tptp.k9_filter_1 A) (tptp.k9_filter_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v10_lattices C) (tptp.l3_lattices C)) (=> (and (tptp.r1_filter_1 A B) (tptp.r1_filter_1 B C)) (tptp.r1_filter_1 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l3_lattices B))) (let ((_let_2 (not (tptp.v3_struct_0 B)))) (let ((_let_3 (tptp.k8_filter_1 A B))) (=> (and _let_2 _let_1) (=> (and (not (tptp.v3_struct_0 _let_3)) (tptp.v10_lattices _let_3) (tptp.l3_lattices _let_3)) (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) _let_2 (tptp.v10_lattices B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k10_filter_1 A B D F))) (let ((_let_2 (tptp.k10_filter_1 A B C E))) (let ((_let_3 (tptp.k8_filter_1 A B))) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (and (= (tptp.k3_lattices _let_3 _let_2 _let_1) (tptp.k10_filter_1 A B (tptp.k3_lattices A C D) (tptp.k3_lattices B E F))) (= (tptp.k4_lattices _let_3 _let_2 _let_1) (tptp.k10_filter_1 A B (tptp.k4_lattices A C D) (tptp.k4_lattices B E F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (= (tptp.r3_lattices (tptp.k8_filter_1 A B) (tptp.k10_filter_1 A B C E) (tptp.k10_filter_1 A B D F)) (and (tptp.r3_lattices A C D) (tptp.r3_lattices B E F))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (and (tptp.v12_lattices A) (tptp.v12_lattices B)) (tptp.v12_lattices (tptp.k8_filter_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (let ((_let_2 (tptp.l3_lattices B))) (let ((_let_3 (tptp.v10_lattices B))) (let ((_let_4 (not (tptp.v3_struct_0 B)))) (=> (and _let_4 _let_3 _let_2) (= (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.l3_lattices A) _let_4 _let_3 (tptp.v11_lattices B) _let_2) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v11_lattices _let_1) (tptp.l3_lattices _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (and (tptp.v13_lattices A) (tptp.v13_lattices B)) (tptp.v13_lattices (tptp.k8_filter_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (and (tptp.v14_lattices A) (tptp.v14_lattices B)) (tptp.v14_lattices (tptp.k8_filter_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (and (tptp.v15_lattices A) (tptp.v15_lattices B)) (tptp.v15_lattices (tptp.k8_filter_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l3_lattices B))) (let ((_let_2 (tptp.v10_lattices B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (and _let_3 _let_2 _let_1) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A) _let_3 _let_2 (tptp.v13_lattices B) _let_1) (= (tptp.k5_lattices (tptp.k8_filter_1 A B)) (tptp.k10_filter_1 A B (tptp.k5_lattices A) (tptp.k5_lattices B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l3_lattices B))) (let ((_let_2 (tptp.v10_lattices B))) (let ((_let_3 (not (tptp.v3_struct_0 B)))) (=> (and _let_3 _let_2 _let_1) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A) _let_3 _let_2 (tptp.v14_lattices B) _let_1) (= (tptp.k6_lattices (tptp.k8_filter_1 A B)) (tptp.k10_filter_1 A B (tptp.k6_lattices A) (tptp.k6_lattices B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 B)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v15_lattices B) (tptp.l3_lattices B)) (= (and (tptp.r2_lattices A C D) (tptp.r2_lattices B E F)) (tptp.r2_lattices (tptp.k8_filter_1 A B) (tptp.k10_filter_1 A B C E) (tptp.k10_filter_1 A B D F)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (let ((_let_2 (tptp.l3_lattices B))) (let ((_let_3 (tptp.v10_lattices B))) (let ((_let_4 (not (tptp.v3_struct_0 B)))) (=> (and _let_4 _let_3 _let_2) (= (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A) _let_4 _let_3 (tptp.v15_lattices B) (tptp.v16_lattices B) _let_2) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v15_lattices _let_1) (tptp.v16_lattices _let_1) (tptp.l3_lattices _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (let ((_let_2 (tptp.l3_lattices B))) (let ((_let_3 (tptp.v10_lattices B))) (let ((_let_4 (not (tptp.v3_struct_0 B)))) (=> (and _let_4 _let_3 _let_2) (= (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) _let_4 _let_3 (tptp.v17_lattices B) _let_2) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.v17_lattices _let_1) (tptp.l3_lattices _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (and (tptp.v3_filter_0 A) (tptp.v3_filter_0 B)) (tptp.v3_filter_0 (tptp.k8_filter_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.k1_lattice2 (tptp.k8_filter_1 A B)) (tptp.k8_filter_1 (tptp.k1_lattice2 A) (tptp.k1_lattice2 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (tptp.r1_filter_1 (tptp.k8_filter_1 A B) (tptp.k8_filter_1 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_filter_0 A B C) (tptp.k3_lattices A (tptp.k4_lattices A B C) (tptp.k4_lattices A (tptp.k7_lattices A B) (tptp.k7_lattices A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k7_lattices A B))) (let ((_let_2 (tptp.k7_lattices A (tptp.k9_filter_0 A B C)))) (let ((_let_3 (tptp.k7_lattices A C))) (let ((_let_4 (tptp.k4_lattices A B _let_3))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k7_lattices A (tptp.k4_filter_0 A B C)) _let_4) (= _let_2 (tptp.k3_lattices A _let_4 (tptp.k4_lattices A _let_1 C))) (= _let_2 (tptp.k9_filter_0 A B _let_3)) (= _let_2 (tptp.k9_filter_0 A _let_1 C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (= (tptp.k9_filter_0 A B C) (tptp.k9_filter_0 A B D)) (= C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.k9_filter_0 A B (tptp.k9_filter_0 A B C)) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k4_filter_0 A (tptp.k3_lattices A B C) B) (tptp.k4_filter_0 A C B)) (= (tptp.k4_filter_0 A B (tptp.k4_lattices A B C)) (tptp.k4_filter_0 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_filter_0 A B C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (and (tptp.r3_lattices A _let_1 (tptp.k4_filter_0 A B (tptp.k3_lattices A C D))) (tptp.r3_lattices A _let_1 (tptp.k4_filter_0 A (tptp.k4_lattices A B D) C)) (tptp.r3_lattices A _let_1 (tptp.k4_filter_0 A B (tptp.k3_lattices A D C))) (tptp.r3_lattices A _let_1 (tptp.k4_filter_0 A (tptp.k4_lattices A D B) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k4_lattices A (tptp.k4_filter_0 A B C) (tptp.k4_filter_0 A D C)) (tptp.k4_filter_0 A (tptp.k3_lattices A B D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r3_lattices A (tptp.k4_lattices A (tptp.k4_filter_0 A B C) (tptp.k4_filter_0 A B D)) (tptp.k4_filter_0 A B (tptp.k4_lattices A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden (tptp.k9_filter_0 A C D) B) (tptp.r2_hidden (tptp.k9_filter_0 A E F) B)) (and (tptp.r2_hidden (tptp.k9_filter_0 A (tptp.k3_lattices A C E) (tptp.k3_lattices A D F)) B) (tptp.r2_hidden (tptp.k9_filter_0 A (tptp.k4_lattices A C E) (tptp.k4_lattices A D F)) B))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v3_filter_0 A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k2_filter_1 _let_1 (tptp.k11_filter_0 A B) D))) (=> (tptp.m1_subset_1 E _let_1) (=> (and (tptp.r2_hidden C _let_2) (tptp.r2_hidden E _let_2)) (and (tptp.r2_hidden (tptp.k3_lattices A C E) _let_2) (tptp.r2_hidden (tptp.k4_lattices A C E) _let_2))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (and (tptp.r2_hidden (tptp.k3_lattices A B (tptp.k9_filter_0 A B C)) (tptp.k2_filter_1 _let_1 (tptp.k12_filter_0 A (tptp.k2_filter_0 A C)) B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (=> (tptp.r2_hidden D (tptp.k2_filter_1 _let_1 (tptp.k12_filter_0 A (tptp.k2_filter_0 A C)) B)) (tptp.r3_lattices A D (tptp.k3_lattices A B (tptp.k9_filter_0 A B C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k2_filter_0 A B))) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.r1_filter_1 A (tptp.k8_filter_1 (tptp.k5_filter_1 A _let_1) (tptp.k8_filter_0 A _let_1)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s1_filter_1) (tptp.p1_s1_filter_1 (tptp.k2_filter_1 tptp.f1_s1_filter_1 tptp.f2_s1_filter_1 A)))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s1_filter_1) (tptp.k8_eqrel_1 tptp.f1_s1_filter_1 tptp.f2_s1_filter_1)) (tptp.p1_s1_filter_1 A)))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_filter_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_filter_1) (tptp.p1_s2_filter_1 (tptp.k2_filter_1 tptp.f1_s2_filter_1 tptp.f2_s2_filter_1 A) (tptp.k2_filter_1 tptp.f1_s2_filter_1 tptp.f2_s2_filter_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s2_filter_1) (tptp.k8_eqrel_1 tptp.f1_s2_filter_1 tptp.f2_s2_filter_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s2_filter_1) (tptp.k8_eqrel_1 tptp.f1_s2_filter_1 tptp.f2_s2_filter_1)) (tptp.p1_s2_filter_1 A B)))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s3_filter_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s3_filter_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s3_filter_1) (tptp.p1_s3_filter_1 (tptp.k2_filter_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1 A) (tptp.k2_filter_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1 B) (tptp.k2_filter_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1 C)))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A (tptp.k1_zfmisc_1 tptp.f1_s3_filter_1) (tptp.k8_eqrel_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1)) (forall ((B $$unsorted)) (=> (tptp.m2_subset_1 B (tptp.k1_zfmisc_1 tptp.f1_s3_filter_1) (tptp.k8_eqrel_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.k1_zfmisc_1 tptp.f1_s3_filter_1) (tptp.k8_eqrel_1 tptp.f1_s3_filter_1 tptp.f2_s3_filter_1)) (tptp.p1_s3_filter_1 A B C)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s4_filter_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s4_filter_1) (tptp.p1_s4_filter_1 (tptp.k1_domain_1 tptp.f1_s4_filter_1 tptp.f2_s4_filter_1 A B)))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k2_zfmisc_1 tptp.f1_s4_filter_1 tptp.f2_s4_filter_1)) (tptp.p1_s4_filter_1 A)))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s5_filter_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s5_filter_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s5_filter_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s5_filter_1) (tptp.p1_s5_filter_1 (tptp.k1_domain_1 tptp.f1_s5_filter_1 tptp.f2_s5_filter_1 A C) (tptp.k1_domain_1 tptp.f1_s5_filter_1 tptp.f2_s5_filter_1 B D)))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k2_zfmisc_1 tptp.f1_s5_filter_1 tptp.f2_s5_filter_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_zfmisc_1 tptp.f1_s5_filter_1 tptp.f2_s5_filter_1)) (tptp.p1_s5_filter_1 A B)))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s6_filter_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s6_filter_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f1_s6_filter_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D tptp.f2_s6_filter_1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E tptp.f2_s6_filter_1) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F tptp.f2_s6_filter_1) (tptp.p1_s6_filter_1 (tptp.k1_domain_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1 A D) (tptp.k1_domain_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1 B E) (tptp.k1_domain_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1 C F)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.k2_zfmisc_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k2_zfmisc_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k2_zfmisc_1 tptp.f1_s6_filter_1 tptp.f2_s6_filter_1)) (tptp.p1_s6_filter_1 A B C)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_filter_1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m2_relset_1 C A A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 B)) (exists ((C $$unsorted)) (tptp.m1_filter_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A A))) (=> (tptp.m2_filter_1 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 A) (tptp.m2_relset_1 C _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_relat_1 B)) (exists ((C $$unsorted)) (tptp.m2_filter_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (=> (tptp.r1_filter_1 A B) (tptp.r1_filter_1 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (tptp.r1_filter_1 A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (tptp.m1_filter_0 (tptp.k1_filter_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (= (tptp.k1_filter_1 A B C) (tptp.k1_filter_1 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (= (tptp.k1_filter_1 A B B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_filter_0 C A)) (= (tptp.k1_filter_1 A B C) (tptp.k3_xboole_0 B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.m1_subset_1 C A)) (tptp.m2_subset_1 (tptp.k2_filter_1 A B C) (tptp.k1_zfmisc_1 A) (tptp.k8_eqrel_1 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.m1_subset_1 C A)) (= (tptp.k2_filter_1 A B C) (tptp.k6_eqrel_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (let ((_let_2 (tptp.k3_filter_1 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A A) (tptp.m1_relset_1 C A A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k8_eqrel_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k4_filter_1 A B C))) (let ((_let_4 (tptp.k2_zfmisc_1 A A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m1_relset_1 B A A) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_4 A) (tptp.m1_relset_1 C _let_4 A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k5_filter_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_lattices _let_1) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_filter_0 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 A))) (tptp.m1_subset_1 (tptp.k6_filter_1 A B C) (tptp.u1_struct_0 (tptp.k5_filter_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k7_filter_1 A B C D))) (let ((_let_4 (tptp.k2_zfmisc_1 B B))) (let ((_let_5 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_5 A) (tptp.m1_relset_1 C _let_5 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_4 B) (tptp.m1_relset_1 D _let_4 B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B B))) (let ((_let_2 (tptp.k2_zfmisc_1 A A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 A) (tptp.m1_relset_1 C _let_2 A) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 B) (tptp.m1_relset_1 D _let_1 B)) (= (tptp.k7_filter_1 A B C D) (tptp.k3_funct_4 C D)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k8_filter_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.l3_lattices B)) (and (tptp.v3_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.v1_relat_1 (tptp.k9_filter_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (tptp.m1_subset_1 (tptp.k10_filter_1 A B C D) (tptp.u1_struct_0 (tptp.k8_filter_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.k10_filter_1 A B C D) (tptp.k4_tarski C D)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (= (tptp.k9_filter_1 A) (tptp.a_1_0_filter_1 A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_1_0_filter_1 B)) (exists ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (= A (tptp.k1_domain_1 _let_1 _let_1 C D)) (tptp.r3_lattices B C D))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (exists ((B $$unsorted)) (and (tptp.m1_eqrel_1 B A) (not (tptp.v1_xboole_0 B)) (tptp.v1_setfam_1 B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_borsuk_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C _let_1)) (and (not (tptp.v1_xboole_0 _let_3)) (tptp.v1_relat_1 _let_3) (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A B) (tptp.v1_partfun1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (not (tptp.v1_xboole_0 C)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.v1_partfun1 C _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k15_borsuk_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v1_setfam_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k16_borsuk_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_pre_topc B A) (not (tptp.v3_struct_0 B)) (tptp.v1_pre_topc B) (tptp.v2_pre_topc B) (tptp.v1_borsuk_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (and (tptp.m1_borsuk_1 B A) (not (tptp.v1_xboole_0 B)) (tptp.v1_setfam_1 B) (tptp.v2_borsuk_1 B A))))) (and (not (tptp.v3_struct_0 tptp.k22_borsuk_1)) (tptp.v1_pre_topc tptp.k22_borsuk_1) (tptp.v2_pre_topc tptp.k22_borsuk_1)) true true true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 A)) (= (tptp.k3_funct_2 A A (tptp.k6_partfun1 A) B) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_relat_1 C) (tptp.v1_funct_1 C)) (=> (tptp.r1_tarski A (tptp.k10_relat_1 C B)) (tptp.r1_tarski (tptp.k9_relat_1 C A) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.r1_tarski (tptp.k9_relat_1 (tptp.k2_funcop_1 A B) C) (tptp.k1_tarski B))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k9_funct_3 B C))) (let ((_let_2 (tptp.k2_zfmisc_1 B C))) (=> (tptp.r1_tarski A _let_2) (= (tptp.k1_funct_1 (tptp.k1_funct_3 _let_1) A) (tptp.k2_funct_2 _let_2 B _let_1 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k10_funct_3 B C))) (let ((_let_2 (tptp.k2_zfmisc_1 B C))) (=> (tptp.r1_tarski A _let_2) (= (tptp.k1_funct_1 (tptp.k1_funct_3 _let_1) A) (tptp.k2_funct_2 _let_2 C _let_1 A)))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_mcart_1 A B C D))) (let ((_let_2 (tptp.k2_zfmisc_1 A B))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (=> (not (= _let_1 tptp.k1_xboole_0)) (and (= (tptp.k2_funct_2 _let_2 A (tptp.k9_funct_3 A B) _let_1) C) (= (tptp.k2_funct_2 _let_2 B (tptp.k10_funct_3 A B) _let_1) D))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k12_mcart_1 A B C D))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (=> (not (= _let_1 tptp.k1_xboole_0)) (and (= (tptp.k1_funct_1 (tptp.k1_funct_3 (tptp.k9_funct_3 A B)) _let_1) C) (= (tptp.k1_funct_1 (tptp.k1_funct_3 (tptp.k10_funct_3 A B)) _let_1) D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E D) (and (tptp.r1_tarski E C) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 A)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 B)) (= E (tptp.k12_mcart_1 A B F G))))))))) (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k3_tarski (tptp.k9_relat_1 (tptp.k1_funct_3 (tptp.k9_funct_3 A B)) D)) (tptp.k1_setfam_1 (tptp.k9_relat_1 (tptp.k1_funct_3 (tptp.k10_funct_3 A B)) D))) C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 A B)))) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E D) (and (tptp.r1_tarski E C) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 A)) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 B)) (= E (tptp.k12_mcart_1 A B F G))))))))) (tptp.r1_tarski (tptp.k2_zfmisc_1 (tptp.k1_setfam_1 (tptp.k9_relat_1 (tptp.k1_funct_3 (tptp.k9_funct_3 A B)) D)) (tptp.k3_tarski (tptp.k9_relat_1 (tptp.k1_funct_3 (tptp.k10_funct_3 A B)) D))) C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_1)) (= (tptp.k5_setfam_1 B (tptp.k2_funct_2 _let_1 (tptp.k1_zfmisc_1 B) (tptp.k2_funct_3 A B C) D)) (tptp.k2_funct_2 A B C (tptp.k5_setfam_1 A D)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (=> (= (tptp.k5_setfam_1 A B) A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (= D (tptp.k3_tarski C)) (tptp.r1_tarski (tptp.k3_subset_1 A D) (tptp.k3_tarski (tptp.k3_subset_1 B C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A C) (tptp.m2_relset_1 E A C)) (not (and (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F A) (forall ((G $$unsorted)) (=> (tptp.m1_subset_1 G A) (=> (= (tptp.k8_funct_2 A B D F) (tptp.k8_funct_2 A B D G)) (= (tptp.k8_funct_2 A C E F) (tptp.k8_funct_2 A C E G))))))) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (not (= (tptp.k7_funct_2 A B C D F) E)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D B) (forall ((E $$unsorted)) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E A B) (tptp.m2_relset_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F B C) (tptp.m2_relset_1 F B C)) (tptp.r1_tarski (tptp.k3_funct_2 A B E (tptp.k6_domain_1 B D)) (tptp.k3_funct_2 A C (tptp.k7_funct_2 A B C E F) (tptp.k6_domain_1 C (tptp.k8_funct_2 B C F D)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F C) (= (tptp.k8_funct_2 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C) (tptp.k16_funct_3 A C B C D (tptp.k6_partfun1 C)) (tptp.k1_domain_1 A C E F)) (tptp.k1_domain_1 B C (tptp.k8_funct_2 A B D E) F)))))))))))))) true (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 A)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 C)) (= (tptp.k2_funct_2 (tptp.k2_zfmisc_1 A C) (tptp.k2_zfmisc_1 B C) (tptp.k16_funct_3 A C B C D (tptp.k6_partfun1 C)) (tptp.k12_mcart_1 A C E F)) (tptp.k12_mcart_1 B C (tptp.k2_funct_2 A B D E) F)))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (not (tptp.v1_xboole_0 C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D A B) (tptp.m2_relset_1 D A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.k2_zfmisc_1 B C))) (=> (tptp.m1_subset_1 F C) (= (tptp.k3_funct_2 (tptp.k2_zfmisc_1 A C) _let_1 (tptp.k16_funct_3 A C B C D (tptp.k6_partfun1 C)) (tptp.k6_domain_1 _let_1 (tptp.k1_domain_1 B C E F))) (tptp.k12_mcart_1 A C (tptp.k3_funct_2 A B D (tptp.k6_domain_1 B E)) (tptp.k6_domain_1 C F)))))))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (tptp.m1_subset_1 (tptp.k3_tarski C) (tptp.k1_zfmisc_1 A)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= (tptp.k3_tarski (tptp.k5_subset_1 B C D)) (tptp.k3_xboole_0 (tptp.k3_tarski C) (tptp.k3_tarski D))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (= D (tptp.k3_tarski C)) (= (tptp.k3_subset_1 A D) (tptp.k3_tarski (tptp.k3_subset_1 B C)))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_relat_2 B) (tptp.v8_relat_2 B) (tptp.v1_partfun1 B A A) (tptp.m2_relset_1 B A A)) (not (tptp.v1_xboole_0 (tptp.k8_eqrel_1 A B))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (= C (tptp.k2_borsuk_1 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (tptp.r2_hidden D (tptp.k8_funct_2 A B C D))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 A) B) (=> (tptp.r2_hidden C D) (= D (tptp.k8_funct_2 A B (tptp.k2_borsuk_1 A B) C))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.k1_zfmisc_1 A) B) (= C (tptp.k3_funct_2 A B (tptp.k2_borsuk_1 A B) (tptp.k6_domain_1 B C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (= (tptp.k3_funct_2 A B (tptp.k2_borsuk_1 A B) C) (tptp.k3_tarski C)))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.k1_zfmisc_1 A) B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D A) (= (tptp.k8_funct_2 A B (tptp.k2_borsuk_1 A B) D) C))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k2_borsuk_1 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 A)) (=> (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 A)) (=> (tptp.r2_hidden D B) (or (tptp.r1_xboole_0 D C) (tptp.r1_tarski D C))))) (= C (tptp.k3_funct_2 A B _let_1 (tptp.k2_funct_2 A B _let_1 C))))))))))) true (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (tptp.r1_tarski (tptp.u1_struct_0 B) (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v5_pre_topc C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_connsp_2 E B (tptp.k8_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C D)) (exists ((F $$unsorted)) (and (tptp.m1_connsp_2 F A D) (tptp.r1_tarski (tptp.k4_pre_topc A B C F) E)))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_borsuk_1 A B C) (tptp.k1_borsuk_1 _let_1 (tptp.u1_struct_0 A) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.v5_pre_topc (tptp.k3_borsuk_1 B A C) B A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.r1_tarski (tptp.k5_pre_topc A B C (tptp.k1_tops_1 B D)) (tptp.k1_tops_1 A (tptp.k5_pre_topc A B C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v5_pre_topc D B A) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (=> (tptp.m1_connsp_2 E A C) (tptp.m2_connsp_2 (tptp.k5_pre_topc B A D E) B (tptp.k5_pre_topc B A D (tptp.k1_struct_0 A C))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m2_connsp_2 D A C) (=> (tptp.r1_tarski B C) (tptp.m2_connsp_2 D A B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (tptp.v6_compts_1 (tptp.k1_struct_0 A B) A))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (= C D) (= (tptp.v6_compts_1 C A) (tptp.v6_compts_1 D B))))))))))) true true true (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (= (tptp.v3_pre_topc C _let_1) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= C (tptp.k5_setfam_1 _let_1 D)) (forall ((E $$unsorted)) (not (and (tptp.r2_hidden E D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 _let_1)) (not (and (= E (tptp.k12_mcart_1 (tptp.u1_struct_0 A) _let_1 F G)) (tptp.v3_pre_topc F A) (tptp.v3_pre_topc G B)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (and (tptp.v3_pre_topc C A) (tptp.v3_pre_topc D B)) (tptp.v3_pre_topc (tptp.k7_borsuk_1 A B C D) (tptp.k6_borsuk_1 A B))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= (tptp.k1_tops_1 (tptp.k6_borsuk_1 A B) (tptp.k7_borsuk_1 A B C D)) (tptp.k7_borsuk_1 A B (tptp.k1_tops_1 A C) (tptp.k1_tops_1 B D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_connsp_2 E A C) (forall ((F $$unsorted)) (=> (tptp.m1_connsp_2 F B D) (tptp.m1_connsp_2 (tptp.k7_borsuk_1 A B E F) (tptp.k6_borsuk_1 A B) (tptp.k8_borsuk_1 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (forall ((E $$unsorted)) (=> (tptp.m2_connsp_2 E A C) (forall ((F $$unsorted)) (=> (tptp.m2_connsp_2 F B D) (tptp.m2_connsp_2 (tptp.k7_borsuk_1 A B E F) (tptp.k6_borsuk_1 A B) (tptp.k7_borsuk_1 A B C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= C (tptp.k8_borsuk_1 A B D E)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (tptp.v1_tops_2 (tptp.k11_borsuk_1 A B C) _let_1)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (=> (tptp.r1_tarski C D) (tptp.r1_tarski (tptp.k11_borsuk_1 A B C) (tptp.k11_borsuk_1 A B D))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_1)) (tptp.r1_tarski (tptp.k5_setfam_1 _let_1 (tptp.k11_borsuk_1 A B C)) C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (=> (tptp.v3_pre_topc C _let_1) (= C (tptp.k5_setfam_1 _let_2 (tptp.k11_borsuk_1 A B C)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 _let_2)) (= (tptp.k1_tops_1 _let_1 C) (tptp.k5_setfam_1 _let_2 (tptp.k11_borsuk_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (= (tptp.k12_borsuk_1 A B) (tptp.k2_funct_3 (tptp.k2_zfmisc_1 _let_2 _let_1) _let_2 (tptp.k9_funct_3 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (= (tptp.k13_borsuk_1 A B) (tptp.k2_funct_3 (tptp.k2_zfmisc_1 _let_2 _let_1) _let_1 (tptp.k10_funct_3 _let_2 _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (let ((_let_3 (tptp.k1_pcomps_1 _let_2))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_2))) (=> (forall ((E $$unsorted)) (=> (tptp.r2_hidden E D) (and (tptp.r1_tarski E C) (exists ((F $$unsorted)) (and (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (exists ((G $$unsorted)) (and (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (= E (tptp.k7_borsuk_1 A B F G))))))))) (tptp.r1_tarski (tptp.k7_borsuk_1 A B (tptp.k5_setfam_1 _let_4 (tptp.k2_funct_2 _let_3 (tptp.k1_pcomps_1 _let_4) (tptp.k12_borsuk_1 A B) D)) (tptp.k6_setfam_1 _let_1 (tptp.k2_funct_2 _let_3 (tptp.k1_pcomps_1 _let_1) (tptp.k13_borsuk_1 A B) D))) C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k2_funct_2 (tptp.k1_pcomps_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))) (tptp.k1_pcomps_1 (tptp.u1_struct_0 A)) (tptp.k12_borsuk_1 A B) C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (not (and (tptp.r2_hidden E C) (= D (tptp.k2_funct_2 (tptp.k2_zfmisc_1 _let_2 _let_1) _let_2 (tptp.k9_funct_3 _let_2 _let_1) E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (forall ((D $$unsorted)) (not (and (tptp.r2_hidden D (tptp.k2_funct_2 (tptp.k1_pcomps_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))) (tptp.k1_pcomps_1 (tptp.u1_struct_0 B)) (tptp.k13_borsuk_1 A B) C)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (not (and (tptp.r2_hidden E C) (= D (tptp.k2_funct_2 (tptp.k2_zfmisc_1 _let_2 _let_1) _let_1 (tptp.k10_funct_3 _let_2 _let_1) E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (tptp.v3_pre_topc C _let_1) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k2_zfmisc_1 _let_2 _let_1))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (and (=> (= D (tptp.k2_funct_2 _let_3 _let_2 (tptp.k9_funct_3 _let_2 _let_1) C)) (tptp.v3_pre_topc D A)) (=> (= E (tptp.k2_funct_2 _let_3 _let_1 (tptp.k10_funct_3 _let_2 _let_1) C)) (tptp.v3_pre_topc E B)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_2))) (=> (tptp.v1_tops_2 C _let_1) (and (tptp.v1_tops_2 (tptp.k14_borsuk_1 _let_2 (tptp.u1_struct_0 A) (tptp.k12_borsuk_1 A B) C) A) (tptp.v1_tops_2 (tptp.k14_borsuk_1 _let_2 (tptp.u1_struct_0 B) (tptp.k13_borsuk_1 A B) C) B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (=> (or (= (tptp.k14_borsuk_1 _let_1 (tptp.u1_struct_0 A) (tptp.k12_borsuk_1 A B) C) tptp.k1_xboole_0) (= (tptp.k14_borsuk_1 _let_1 (tptp.u1_struct_0 B) (tptp.k13_borsuk_1 A B) C) tptp.k1_xboole_0)) (= C tptp.k1_xboole_0))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k6_borsuk_1 A B))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (=> (tptp.r1_compts_1 _let_2 C (tptp.k7_borsuk_1 A B D E)) (and (=> (not (= E tptp.k1_xboole_0)) (tptp.r1_compts_1 A (tptp.k14_borsuk_1 _let_3 (tptp.u1_struct_0 A) (tptp.k12_borsuk_1 A B) C) D)) (=> (not (= D tptp.k1_xboole_0)) (tptp.r1_compts_1 B (tptp.k14_borsuk_1 _let_3 _let_1 (tptp.k13_borsuk_1 A B) C) E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_compts_1 A C D) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (and (tptp.r1_tarski E C) (tptp.r1_compts_1 A E D) (forall ((F $$unsorted)) (not (and (tptp.r2_hidden F E) (tptp.r1_xboole_0 F D)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.v1_finset_1 C) (tptp.r1_tarski C (tptp.k14_borsuk_1 _let_1 (tptp.u1_struct_0 A) (tptp.k12_borsuk_1 A B) D)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (=> (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (not (and (tptp.r1_tarski E D) (tptp.v1_finset_1 E) (= C (tptp.k14_borsuk_1 _let_1 (tptp.u1_struct_0 A) (tptp.k12_borsuk_1 A B) E)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k7_borsuk_1 A B C D))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (=> (not (= _let_1 tptp.k1_xboole_0)) (and (= (tptp.k8_funct_2 _let_3 (tptp.k1_pcomps_1 (tptp.u1_struct_0 A)) (tptp.k12_borsuk_1 A B) _let_1) C) (= (tptp.k8_funct_2 _let_3 (tptp.k1_pcomps_1 _let_2) (tptp.k13_borsuk_1 A B) _let_1) D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (= (tptp.k1_funct_1 (tptp.k12_borsuk_1 A B) tptp.k1_xboole_0) tptp.k1_xboole_0) (= (tptp.k1_funct_1 (tptp.k13_borsuk_1 A B) tptp.k1_xboole_0) tptp.k1_xboole_0)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (=> (tptp.v6_compts_1 D B) (forall ((E $$unsorted)) (=> (tptp.m2_connsp_2 E (tptp.k6_borsuk_1 B A) (tptp.k7_borsuk_1 B A D (tptp.k1_struct_0 A C))) (exists ((F $$unsorted)) (and (tptp.m2_connsp_2 F B D) (exists ((G $$unsorted)) (and (tptp.m1_connsp_2 G A C) (tptp.r1_tarski (tptp.k10_borsuk_1 B A D C F G) E)))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.l1_struct_0 A) (= (tptp.k15_borsuk_1 A) (tptp.k8_eqrel_1 _let_1 (tptp.k6_partfun1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden B (tptp.k15_borsuk_1 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (not (= B (tptp.k1_struct_0 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 B)) (= (tptp.r2_hidden (tptp.k3_tarski C) (tptp.u1_pre_topc A)) (tptp.r2_hidden C (tptp.u1_pre_topc (tptp.k16_borsuk_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B _let_1)) (= (tptp.k17_borsuk_1 A B) (tptp.k2_borsuk_1 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (tptp.r2_hidden C (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A B)) (tptp.k17_borsuk_1 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k16_borsuk_1 A B))) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A B)) (tptp.k17_borsuk_1 A B) D) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (= (tptp.k2_relat_1 (tptp.k17_borsuk_1 A B)) (tptp.u1_struct_0 (tptp.k16_borsuk_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (tptp.r1_tarski C (tptp.k18_borsuk_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (not (and (tptp.r2_hidden D (tptp.k18_borsuk_1 A B C)) (not (tptp.r2_hidden D C)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (not (tptp.r2_hidden E (tptp.k2_pre_topc B))) (= D (tptp.k1_struct_0 A E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (not (tptp.r2_hidden D (tptp.u1_struct_0 B))) (tptp.r2_hidden (tptp.k1_struct_0 A D) (tptp.k18_borsuk_1 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k18_borsuk_1 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (tptp.r2_hidden D (tptp.u1_struct_0 B)) (= (tptp.k8_funct_2 _let_2 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A _let_1)) (tptp.k17_borsuk_1 A _let_1) D) (tptp.k1_funct_1 (tptp.k17_borsuk_1 B C) D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k18_borsuk_1 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (not (tptp.r2_hidden D (tptp.u1_struct_0 B))) (= (tptp.k8_funct_2 _let_2 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A _let_1)) (tptp.k17_borsuk_1 A _let_1) D) (tptp.k1_struct_0 A D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k18_borsuk_1 A B C))) (let ((_let_2 (tptp.k17_borsuk_1 A _let_1))) (let ((_let_3 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A _let_1)))) (let ((_let_4 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_4) (=> (= (tptp.k8_funct_2 _let_4 _let_3 _let_2 D) (tptp.k8_funct_2 _let_4 _let_3 _let_2 E)) (or (tptp.r2_hidden D (tptp.u1_struct_0 B)) (= D E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k18_borsuk_1 A B C))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (tptp.r2_hidden (tptp.k8_funct_2 _let_2 (tptp.u1_struct_0 (tptp.k16_borsuk_1 A _let_1)) (tptp.k17_borsuk_1 A _let_1) D) (tptp.u1_struct_0 (tptp.k16_borsuk_1 B C))) (tptp.r2_hidden D (tptp.u1_struct_0 B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D (tptp.u1_struct_0 B)) (tptp.r2_hidden (tptp.k1_funct_1 (tptp.k17_borsuk_1 A (tptp.k18_borsuk_1 A B C)) D) (tptp.u1_struct_0 (tptp.k16_borsuk_1 B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (= (tptp.m1_borsuk_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (forall ((D $$unsorted)) (=> (tptp.m2_connsp_2 D A C) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.v3_pre_topc E A) (tptp.r1_tarski C E) (tptp.r1_tarski E D) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden F B) (or (tptp.r1_xboole_0 F E) (tptp.r1_tarski F E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_borsuk_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k16_borsuk_1 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k16_borsuk_1 A B))) (let ((_let_2 (tptp.k17_borsuk_1 A B))) (=> (tptp.m2_connsp_2 D A (tptp.k5_pre_topc A _let_1 _let_2 (tptp.k1_struct_0 _let_1 C))) (tptp.m1_connsp_2 (tptp.k4_pre_topc A _let_1 _let_2 D) _let_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.m1_borsuk_1 (tptp.k15_borsuk_1 A) A))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_pre_topc B A) (= (tptp.v1_borsuk_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= C (tptp.u1_struct_0 B)) (tptp.v4_pre_topc C A))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_borsuk_1 B A) (= (tptp.v2_borsuk_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden C B) (tptp.v6_compts_1 C A))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_pre_topc A) (= (= A tptp.k22_borsuk_1) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k5_pcomps_1 tptp.k8_metric_1))) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 _let_1))) (=> (= B (tptp.k1_rcomp_1 tptp.np__0 tptp.np__1)) (= A (tptp.k3_pre_topc _let_1 B))))))))) (= _let_10 (tptp.k1_rcomp_1 tptp.np__0 tptp.np__1)) _let_12 _let_11 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_borsuk_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_2) (=> (tptp.r2_hidden D _let_1) (= (tptp.k8_funct_2 _let_2 _let_1 C D) D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (= (tptp.r1_borsuk_1 A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v5_pre_topc C A B) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v3_borsuk_1 C A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (= (tptp.r2_borsuk_1 A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_borsuk_1 A tptp.k22_borsuk_1))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_1) (tptp.v5_pre_topc C _let_2 A) (tptp.m2_relset_1 C _let_3 _let_1) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A tptp.k22_borsuk_1)))) (=> (tptp.m1_subset_1 D _let_2) (and (= (tptp.k8_funct_2 _let_3 _let_2 C (tptp.k8_borsuk_1 A tptp.k22_borsuk_1 D tptp.k23_borsuk_1)) D) (tptp.r2_hidden (tptp.k8_funct_2 _let_3 _let_2 C (tptp.k8_borsuk_1 A tptp.k22_borsuk_1 D tptp.k24_borsuk_1)) _let_1) (=> (tptp.r2_hidden D _let_1) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 tptp.k22_borsuk_1)) (= (tptp.k8_funct_2 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A tptp.k22_borsuk_1)) (tptp.u1_struct_0 A) C (tptp.k8_borsuk_1 A tptp.k22_borsuk_1 D E)) D)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (=> (tptp.r1_borsuk_1 A B) (tptp.r1_borsuk_1 (tptp.k16_borsuk_1 A (tptp.k20_borsuk_1 A B C)) (tptp.k21_borsuk_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (=> (tptp.r2_borsuk_1 A B) (tptp.r2_borsuk_1 (tptp.k16_borsuk_1 A (tptp.k20_borsuk_1 A B C)) (tptp.k21_borsuk_1 A B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_borsuk_1 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (exists ((B $$unsorted)) (tptp.m1_borsuk_1 B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_borsuk_1 A B C))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 C A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 B A) (tptp.m2_relset_1 _let_1 B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.m1_subset_1 C A)) (= (tptp.k1_borsuk_1 A B C) (tptp.k2_funcop_1 B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k2_borsuk_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B A)) (and (tptp.v1_funct_1 _let_1) (tptp.v1_funct_2 _let_1 A B) (tptp.m2_relset_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k3_borsuk_1 A B C))) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (tptp.m1_subset_1 C _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k4_borsuk_1 A B C D E))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_4) (tptp.v5_pre_topc D A B) (tptp.m1_relset_1 D _let_2 _let_4) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_1) (tptp.v5_pre_topc E B C) (tptp.m1_relset_1 E _let_4 _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v5_pre_topc _let_3 A C) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (not (tptp.v3_struct_0 C)) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.v5_pre_topc D A B) (tptp.m1_relset_1 D _let_3 _let_2) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v5_pre_topc E B C) (tptp.m1_relset_1 E _let_2 _let_1)) (= (tptp.k4_borsuk_1 A B C D E) (tptp.k5_relat_1 D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v5_pre_topc D A B) (tptp.m1_relset_1 D _let_2 _let_1) (tptp.m1_connsp_2 E B C)) (tptp.m2_connsp_2 (tptp.k5_borsuk_1 A B C D E) A (tptp.k5_pre_topc A B D (tptp.k1_struct_0 B C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C _let_1) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v5_pre_topc D A B) (tptp.m1_relset_1 D _let_2 _let_1) (tptp.m1_connsp_2 E B C)) (= (tptp.k5_borsuk_1 A B C D E) (tptp.k10_relat_1 D E)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_borsuk_1 A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (tptp.m1_subset_1 (tptp.k7_borsuk_1 A B C D) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.k7_borsuk_1 A B C D) (tptp.k2_zfmisc_1 C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (tptp.m1_subset_1 (tptp.k8_borsuk_1 A B C D) (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B))) (= (tptp.k8_borsuk_1 A B C D) (tptp.k4_tarski C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.m1_connsp_2 E A C) (tptp.m1_connsp_2 F B D)) (tptp.m1_connsp_2 (tptp.k9_borsuk_1 A B C D E F) (tptp.k6_borsuk_1 A B) (tptp.k8_borsuk_1 A B C D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.m1_connsp_2 E A C) (tptp.m1_connsp_2 F B D)) (= (tptp.k9_borsuk_1 A B C D E F) (tptp.k2_zfmisc_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.m2_connsp_2 E A C) (tptp.m1_connsp_2 F B D)) (tptp.m2_connsp_2 (tptp.k10_borsuk_1 A B C D E F) (tptp.k6_borsuk_1 A B) (tptp.k7_borsuk_1 A B C (tptp.k1_struct_0 B D))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (tptp.m2_connsp_2 E A C) (tptp.m1_connsp_2 F B D)) (= (tptp.k10_borsuk_1 A B C D E F) (tptp.k2_zfmisc_1 E F)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_subset_1 C _let_1)) (tptp.m1_subset_1 (tptp.k11_borsuk_1 A B C) (tptp.k1_zfmisc_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pcomps_1 (tptp.u1_struct_0 A)))) (let ((_let_2 (tptp.k1_pcomps_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (let ((_let_3 (tptp.k12_borsuk_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_pcomps_1 (tptp.u1_struct_0 B)))) (let ((_let_2 (tptp.k1_pcomps_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B))))) (let ((_let_3 (tptp.k13_borsuk_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_pcomps_1 B))) (let ((_let_2 (tptp.k1_pcomps_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (tptp.m1_subset_1 (tptp.k14_borsuk_1 A B C D) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.k1_pcomps_1 B))) (let ((_let_2 (tptp.k1_pcomps_1 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A)))) (= (tptp.k14_borsuk_1 A B C D) (tptp.k9_relat_1 C D)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (tptp.m1_eqrel_1 (tptp.k15_borsuk_1 A) (tptp.u1_struct_0 A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k16_borsuk_1 A B))) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A))) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k16_borsuk_1 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k17_borsuk_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v1_xboole_0 B)) (tptp.m1_eqrel_1 B _let_3)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_2) (tptp.v5_pre_topc _let_4 A _let_1) (tptp.m2_relset_1 _let_4 _let_3 _let_2)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k18_borsuk_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A) (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.m1_eqrel_1 _let_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.m1_borsuk_1 C B)) (tptp.m1_borsuk_1 (tptp.k19_borsuk_1 A B C) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.m1_borsuk_1 C B)) (= (tptp.k19_borsuk_1 A B C) (tptp.k18_borsuk_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k20_borsuk_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (and (tptp.v2_borsuk_1 _let_1 A) (tptp.m1_borsuk_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (= (tptp.k20_borsuk_1 A B C) (tptp.k18_borsuk_1 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k16_borsuk_1 A (tptp.k20_borsuk_1 A B C)))) (let ((_let_2 (tptp.k21_borsuk_1 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (and (tptp.v1_pre_topc _let_2) (tptp.v1_borsuk_1 _let_2 _let_1) (tptp.m1_pre_topc _let_2 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (not (tptp.v3_struct_0 B)) (tptp.v1_borsuk_1 B A) (tptp.m1_pre_topc B A) (tptp.v2_borsuk_1 C B) (tptp.m1_borsuk_1 C B)) (= (tptp.k21_borsuk_1 A B C) (tptp.k16_borsuk_1 B C)))) (tptp.l1_pre_topc tptp.k22_borsuk_1) (tptp.m1_subset_1 tptp.k23_borsuk_1 _let_10) (tptp.m1_subset_1 tptp.k24_borsuk_1 _let_10) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 A))) (= (tptp.k3_tarski (tptp.k5_setfam_1 A B)) (tptp.k3_tarski (tptp.a_2_0_borsuk_1 A B))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (= (= C (tptp.k6_borsuk_1 A B)) (and (= (tptp.u1_struct_0 C) (tptp.k2_zfmisc_1 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B))) (= (tptp.u1_pre_topc C) (tptp.a_3_0_borsuk_1 A B C)))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 A B)))) (= (tptp.k11_borsuk_1 A B C) (tptp.a_3_1_borsuk_1 A B C)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_eqrel_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_pre_topc C) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (= (= C (tptp.k16_borsuk_1 A B)) (and (= (tptp.u1_struct_0 C) B) (= (tptp.u1_pre_topc C) (tptp.a_2_2_borsuk_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.m1_pre_topc B A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (= (tptp.k18_borsuk_1 A B C) (tptp.k2_xboole_0 C (tptp.a_2_3_borsuk_1 A B))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 B))) (= (tptp.r2_hidden A (tptp.a_2_0_borsuk_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 B)) (= A (tptp.k3_tarski D)) (tptp.r2_hidden D C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.v1_pre_topc D) (tptp.v2_pre_topc D) (tptp.l1_pre_topc D)) (= (tptp.r2_hidden A (tptp.a_3_0_borsuk_1 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 _let_1))) (= A (tptp.k5_setfam_1 _let_1 E)) (tptp.r1_tarski E (tptp.a_2_1_borsuk_1 B C)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C)) (= (tptp.r2_hidden A (tptp.a_2_1_borsuk_1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 _let_2)) (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 _let_1)) (= A (tptp.k12_mcart_1 _let_2 _let_1 D E)) (tptp.r2_hidden D (tptp.u1_pre_topc B)) (tptp.r2_hidden E (tptp.u1_pre_topc C))))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.v2_pre_topc C) (tptp.l1_pre_topc C) (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 (tptp.k6_borsuk_1 B C))))) (= (tptp.r2_hidden A (tptp.a_3_1_borsuk_1 B C D)) (exists ((E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.k7_borsuk_1 B C E F))) (and (tptp.m1_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B))) (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 C))) (= A _let_1) (tptp.r1_tarski _let_1 D) (tptp.v3_pre_topc E B) (tptp.v3_pre_topc F C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (tptp.m1_eqrel_1 C (tptp.u1_struct_0 B))) (= (tptp.r2_hidden A (tptp.a_2_2_borsuk_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k1_zfmisc_1 C)) (= A D) (tptp.r2_hidden (tptp.k3_tarski D) (tptp.u1_pre_topc B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v2_pre_topc B) (tptp.l1_pre_topc B) (not (tptp.v3_struct_0 C)) (tptp.m1_pre_topc C B)) (= (tptp.r2_hidden A (tptp.a_2_3_borsuk_1 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (= A (tptp.k1_struct_0 B D)) (not (tptp.r2_hidden D (tptp.u1_struct_0 C)))))))) (and (not (tptp.v3_struct_0 tptp.k2_algstr_1)) (tptp.v1_rlvect_1 tptp.k2_algstr_1) (tptp.v3_rlvect_1 tptp.k2_algstr_1) (tptp.v4_rlvect_1 tptp.k2_algstr_1) (tptp.v5_rlvect_1 tptp.k2_algstr_1) (tptp.v6_rlvect_1 tptp.k2_algstr_1) (tptp.v13_vectsp_1 tptp.k2_algstr_1) (tptp.v1_midsp_2 tptp.k2_algstr_1) (tptp.v1_algstr_1 tptp.k2_algstr_1) (tptp.v2_algstr_1 tptp.k2_algstr_1) (tptp.v3_algstr_1 tptp.k2_algstr_1) (tptp.v4_algstr_1 tptp.k2_algstr_1) (tptp.v5_algstr_1 tptp.k2_algstr_1) (tptp.v6_algstr_1 tptp.k2_algstr_1)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (not (tptp.v1_xboole_0 (tptp.k1_grcat_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_grcat_1 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1))))) (exists ((A $$unsorted)) (and (tptp.l1_grcat_1 A) (tptp.v2_grcat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (tptp.v2_grcat_1 (tptp.k12_grcat_1 A B)))) (exists ((A $$unsorted)) (and (tptp.l1_grcat_1 A) (tptp.v2_grcat_1 A) (tptp.v3_grcat_1 A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k12_grcat_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (and (tptp.v2_grcat_1 _let_1) (tptp.v3_grcat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_grcat_1 C A B) (tptp.v2_grcat_1 C) (tptp.v3_grcat_1 C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_grcat_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (and (tptp.v2_grcat_1 _let_1) (tptp.v3_grcat_1 _let_1))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (not (tptp.v3_struct_0 B)) (tptp.v1_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.v1_algstr_1 B) (tptp.v2_algstr_1 B) (tptp.v3_algstr_1 B) (tptp.v4_algstr_1 B) (tptp.v5_algstr_1 B) (tptp.v6_algstr_1 B))))) (exists ((A $$unsorted)) (and (not (tptp.v1_xboole_0 A)) (tptp.v5_grcat_1 A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v5_grcat_1 A)) (exists ((B $$unsorted)) (and (tptp.m1_subset_1 B A) (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (not (tptp.v1_xboole_0 (tptp.k17_grcat_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (exists ((C $$unsorted)) (and (tptp.m5_grcat_1 C A B) (not (tptp.v1_xboole_0 C)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (tptp.m4_grcat_1 C A B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D C) (tptp.v2_grcat_1 D) (tptp.v3_grcat_1 D))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (not (tptp.v1_xboole_0 (tptp.k19_grcat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k19_grcat_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v4_grcat_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.v1_cat_1 (tptp.k28_grcat_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k28_grcat_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (not (tptp.v1_xboole_0 (tptp.k29_grcat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k30_grcat_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (not (tptp.v1_xboole_0 (tptp.k31_grcat_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k32_grcat_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (and (tptp.v1_cat_1 _let_1) (tptp.v2_cat_1 _let_1))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.r2_hidden D C) (tptp.r1_tarski C (tptp.k2_zfmisc_1 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F B) (not (= D (tptp.k4_tarski E F)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (and (tptp.m1_subset_1 (tptp.k3_mcart_1 B C D) A) (tptp.m1_subset_1 (tptp.k4_mcart_1 B C D E) A)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.r2_hidden B C) (tptp.r2_hidden C A)) (tptp.r2_hidden B A))))) _let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski tptp.k1_xboole_0))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (and (tptp.r2_hidden _let_1 A) (tptp.r2_hidden (tptp.k4_tarski _let_1 _let_1) A) (tptp.r2_hidden (tptp.k2_zfmisc_1 _let_1 _let_1) A) (tptp.r2_hidden tptp.k2_midsp_1 A) (tptp.r2_hidden tptp.k7_vectsp_2 A))))) (tptp.v1_midsp_2 (tptp.g1_rlvect_1 _let_8 tptp.k2_midsp_1 (tptp.k1_algstr_1 tptp.k1_xboole_0))) (and (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k2_algstr_1)) (= A tptp.k1_xboole_0))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k2_algstr_1)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 tptp.k2_algstr_1)) (= (tptp.k4_rlvect_1 tptp.k2_algstr_1 A B) tptp.k1_xboole_0))))) (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A (tptp.u1_struct_0 tptp.k2_algstr_1)) (= (tptp.k5_rlvect_1 tptp.k2_algstr_1 A) tptp.k1_xboole_0))) (= (tptp.k1_rlvect_1 tptp.k2_algstr_1) tptp.k1_xboole_0)) true true true true (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k2_grcat_1 A B) (tptp.k2_partfun1 (tptp.u2_cat_1 A) _let_1 (tptp.u3_cat_1 A) (tptp.k1_grcat_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k3_grcat_1 A B) (tptp.k2_partfun1 (tptp.u2_cat_1 A) _let_1 (tptp.u4_cat_1 A) (tptp.k1_grcat_1 A B)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (= (tptp.k4_grcat_1 A B) (tptp.k1_realset1 (tptp.u5_cat_1 A) (tptp.k1_grcat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 A))) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 _let_1))) (= (tptp.k5_grcat_1 A B) (tptp.k2_partfun1 _let_1 (tptp.u2_cat_1 A) (tptp.u6_cat_1 A) B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (tptp.r1_cat_2 (tptp.g1_cat_1 B (tptp.k1_grcat_1 A B) (tptp.k2_grcat_1 A B) (tptp.k3_grcat_1 A B) (tptp.k4_grcat_1 A B) (tptp.k5_grcat_1 A B)) A))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (= (tptp.k6_grcat_1 A B) (tptp.g1_cat_1 B (tptp.k1_grcat_1 A B) (tptp.k2_grcat_1 A B) (tptp.k3_grcat_1 A B) (tptp.k4_grcat_1 A B) (tptp.k5_grcat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (= (tptp.u1_cat_1 (tptp.k6_grcat_1 A B)) B))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (= (tptp.k7_grcat_1 A) (tptp.k6_partfun1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 (tptp.k7_grcat_1 A) B) B)))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (and (= (tptp.k1_partfun1 _let_2 _let_2 _let_2 _let_1 (tptp.k7_grcat_1 A) C) C) (= (tptp.k7_funct_2 _let_2 _let_1 _let_1 C (tptp.k7_grcat_1 B)) C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l2_struct_0 B)) (= (tptp.k8_grcat_1 A B) (tptp.k2_funcop_1 (tptp.u1_struct_0 A) (tptp.k1_rlvect_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v1_grcat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k2_rlvect_1 A D E)) (tptp.k2_rlvect_1 B (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))))))) _let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.l1_rlvect_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.v1_grcat_1 D A B) (tptp.v1_grcat_1 E B C)) (tptp.v1_grcat_1 (tptp.k7_funct_2 (tptp.u1_struct_0 A) _let_2 _let_1 D E) A C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_struct_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) (tptp.k8_grcat_1 A B) C) (tptp.k1_rlvect_1 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v5_rlvect_1 B) (tptp.l1_rlvect_1 B)) (tptp.v1_grcat_1 (tptp.k8_grcat_1 A B) A B))))) (forall ((A $$unsorted)) (=> (tptp.l1_grcat_1 A) (= (tptp.k9_grcat_1 A) (tptp.u1_grcat_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_grcat_1 A) (= (tptp.k10_grcat_1 A) (tptp.u2_grcat_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_grcat_1 A) (= (tptp.k11_grcat_1 A) (tptp.u3_grcat_1 A)))) (forall ((A $$unsorted)) (=> (tptp.l1_grcat_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (= A (tptp.g1_grcat_1 B C D)) (and (= (tptp.k9_grcat_1 A) B) (= (tptp.k10_grcat_1 A) C) (= (tptp.k11_grcat_1 A) D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (= (tptp.k12_grcat_1 A B) (tptp.g1_grcat_1 A B (tptp.k8_grcat_1 A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_grcat_1 A) (= (tptp.v3_grcat_1 A) (tptp.v1_grcat_1 (tptp.k11_grcat_1 A) (tptp.k9_grcat_1 A) (tptp.k10_grcat_1 A))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_grcat_1 A) (tptp.l1_grcat_1 A)) (tptp.v1_grcat_1 (tptp.u3_grcat_1 A) (tptp.u1_grcat_1 A) (tptp.u2_grcat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v3_grcat_1 C) (tptp.l1_grcat_1 C)) (= (tptp.m1_grcat_1 C A B) (and (= (tptp.k9_grcat_1 C) A) (= (tptp.k10_grcat_1 C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.v2_grcat_1 C))) (let ((_let_2 (tptp.k10_grcat_1 C))) (let ((_let_3 (tptp.k9_grcat_1 C))) (=> (and _let_1 (tptp.l1_grcat_1 C)) (=> (and (= _let_3 A) (= _let_2 B) (tptp.v1_grcat_1 (tptp.k11_grcat_1 C) _let_3 _let_2)) (and _let_1 (tptp.m1_grcat_1 C A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.g1_grcat_1 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m2_relset_1 C _let_3 _let_2)) (=> (tptp.v1_grcat_1 C A B) (and (tptp.v2_grcat_1 _let_1) (tptp.m1_grcat_1 _let_1 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_rlvect_1 A)) (tptp.v1_grcat_1 (tptp.k7_grcat_1 A) A A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (= (tptp.k13_grcat_1 A) (tptp.g1_grcat_1 A A (tptp.k7_grcat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_grcat_1 C A B) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (= (tptp.g1_grcat_1 (tptp.u1_grcat_1 C) (tptp.u2_grcat_1 C) (tptp.u3_grcat_1 C)) (tptp.g1_grcat_1 A B D)) (tptp.v1_grcat_1 D A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_grcat_1 C) (tptp.m1_grcat_1 C A B)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (= C (tptp.g1_grcat_1 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_grcat_1 A) (tptp.l1_grcat_1 A)) (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C) (tptp.m1_grcat_1 A B C))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_grcat_1 A) (tptp.v3_grcat_1 A) (tptp.l1_grcat_1 A)) (exists ((B $$unsorted)) (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (exists ((C $$unsorted)) (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C) (exists ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1) (tptp.m1_grcat_1 A B C) (= A (tptp.g1_grcat_1 B C D)) (tptp.v1_grcat_1 D B C))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_grcat_1 A) (tptp.l1_grcat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)) (not (and (= (tptp.k9_grcat_1 A) (tptp.k10_grcat_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_rlvect_1 D) (tptp.v5_rlvect_1 D) (tptp.v6_rlvect_1 D) (tptp.l1_rlvect_1 D)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v4_rlvect_1 E) (tptp.v5_rlvect_1 E) (tptp.v6_rlvect_1 E) (tptp.l1_rlvect_1 E)) (not (and (tptp.m1_grcat_1 A D E) (tptp.m1_grcat_1 B C D))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v3_grcat_1 A) (tptp.l1_grcat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)) (=> (= (tptp.k9_grcat_1 A) (tptp.k10_grcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_grcat_1 C) (tptp.v3_grcat_1 C) (tptp.l1_grcat_1 C)) (= (= C (tptp.k15_grcat_1 A B)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_rlvect_1 D) (tptp.v5_rlvect_1 D) (tptp.v6_rlvect_1 D) (tptp.l1_rlvect_1 D)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v4_rlvect_1 E) (tptp.v5_rlvect_1 E) (tptp.v6_rlvect_1 E) (tptp.l1_rlvect_1 E)) (forall ((F $$unsorted)) (=> (and (not (tptp.v3_struct_0 F)) (tptp.v4_rlvect_1 F) (tptp.v5_rlvect_1 F) (tptp.v6_rlvect_1 F) (tptp.l1_rlvect_1 F)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 F))) (let ((_let_2 (tptp.u1_struct_0 E))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_2 _let_1) (tptp.m2_relset_1 G _let_2 _let_1)) (forall ((H $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 E))) (let ((_let_2 (tptp.u1_struct_0 D))) (=> (and (tptp.v1_funct_1 H) (tptp.v1_funct_2 H _let_2 _let_1) (tptp.m2_relset_1 H _let_2 _let_1)) (=> (and (= (tptp.g1_grcat_1 (tptp.u1_grcat_1 A) (tptp.u2_grcat_1 A) (tptp.u3_grcat_1 A)) (tptp.g1_grcat_1 E F G)) (= (tptp.g1_grcat_1 (tptp.u1_grcat_1 B) (tptp.u2_grcat_1 B) (tptp.u3_grcat_1 B)) (tptp.g1_grcat_1 D E H))) (= C (tptp.g1_grcat_1 D F (tptp.k7_funct_2 _let_2 _let_1 (tptp.u1_struct_0 F) H G)))))))))))))))))))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_grcat_1 D B C) (forall ((E $$unsorted)) (=> (tptp.m1_grcat_1 E A B) (tptp.m1_grcat_1 (tptp.k15_grcat_1 D E) A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_grcat_1 D B C) (forall ((E $$unsorted)) (=> (tptp.m1_grcat_1 E A B) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_2 _let_1) (tptp.m2_relset_1 G _let_2 _let_1)) (=> (and (= D (tptp.g1_grcat_1 B C F)) (= E (tptp.g1_grcat_1 A B G))) (= (tptp.k16_grcat_1 A B C D E) (tptp.g1_grcat_1 A C (tptp.k7_funct_2 _let_2 _let_1 (tptp.u1_struct_0 C) G F)))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_grcat_1 A) (tptp.v3_grcat_1 A) (tptp.l1_grcat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)) (not (and (= (tptp.k9_grcat_1 B) (tptp.k10_grcat_1 A)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_rlvect_1 D) (tptp.v5_rlvect_1 D) (tptp.v6_rlvect_1 D) (tptp.l1_rlvect_1 D)) (forall ((E $$unsorted)) (=> (and (not (tptp.v3_struct_0 E)) (tptp.v4_rlvect_1 E) (tptp.v5_rlvect_1 E) (tptp.v6_rlvect_1 E) (tptp.l1_rlvect_1 E)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 D))) (let ((_let_2 (tptp.u1_struct_0 C))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.m2_relset_1 F _let_2 _let_1)) (forall ((G $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 E))) (let ((_let_2 (tptp.u1_struct_0 D))) (=> (and (tptp.v1_funct_1 G) (tptp.v1_funct_2 G _let_2 _let_1) (tptp.m2_relset_1 G _let_2 _let_1)) (not (and (= A (tptp.g1_grcat_1 C D F)) (= B (tptp.g1_grcat_1 D E G)) (= (tptp.k15_grcat_1 B A) (tptp.g1_grcat_1 C E (tptp.k7_funct_2 (tptp.u1_struct_0 C) _let_2 _let_1 F G))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_grcat_1 A) (tptp.v3_grcat_1 A) (tptp.l1_grcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k15_grcat_1 B A))) (=> (and (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)) (=> (= (tptp.k9_grcat_1 B) (tptp.k10_grcat_1 A)) (and (= (tptp.k9_grcat_1 _let_1) (tptp.k9_grcat_1 A)) (= (tptp.k10_grcat_1 _let_1) (tptp.k10_grcat_1 B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C)) (forall ((D $$unsorted)) (=> (and (not (tptp.v3_struct_0 D)) (tptp.v4_rlvect_1 D) (tptp.v5_rlvect_1 D) (tptp.v6_rlvect_1 D) (tptp.l1_rlvect_1 D)) (forall ((E $$unsorted)) (=> (and (tptp.v2_grcat_1 E) (tptp.m1_grcat_1 E A B)) (forall ((F $$unsorted)) (=> (and (tptp.v2_grcat_1 F) (tptp.m1_grcat_1 F B C)) (forall ((G $$unsorted)) (=> (and (tptp.v2_grcat_1 G) (tptp.m1_grcat_1 G C D)) (= (tptp.k16_grcat_1 A C D G (tptp.k16_grcat_1 A B C F E)) (tptp.k16_grcat_1 A B D (tptp.k16_grcat_1 B C D G F) E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_grcat_1 A) (tptp.v3_grcat_1 A) (tptp.l1_grcat_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_grcat_1 C) (tptp.v3_grcat_1 C) (tptp.l1_grcat_1 C)) (=> (and (= (tptp.k9_grcat_1 C) (tptp.k10_grcat_1 B)) (= (tptp.k9_grcat_1 B) (tptp.k10_grcat_1 A))) (= (tptp.k15_grcat_1 C (tptp.k15_grcat_1 B A)) (tptp.k15_grcat_1 (tptp.k15_grcat_1 C B) A))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k13_grcat_1 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (and (= (tptp.k9_grcat_1 _let_1) A) (= (tptp.k10_grcat_1 _let_1) A) (forall ((B $$unsorted)) (=> (and (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)) (=> (= (tptp.k10_grcat_1 B) A) (= (tptp.k15_grcat_1 (tptp.k13_grcat_1 A) B) B)))) (forall ((B $$unsorted)) (=> (and (tptp.v2_grcat_1 B) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)) (=> (= (tptp.k9_grcat_1 B) A) (= (tptp.k15_grcat_1 B (tptp.k13_grcat_1 A)) B)))))))) _let_6 _let_5 true true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_tarski A))) (=> (and (tptp.v2_grcat_1 A) (tptp.v3_grcat_1 A) (tptp.l1_grcat_1 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v5_grcat_1 _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.v5_grcat_1 C)) (= (tptp.m4_grcat_1 C A B) (forall ((D $$unsorted)) (=> (tptp.m3_grcat_1 D C) (and (tptp.v2_grcat_1 D) (tptp.m1_grcat_1 D A B))))))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C)) (= (tptp.m4_grcat_1 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (and (tptp.v2_grcat_1 D) (tptp.m1_grcat_1 D B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (and (tptp.v2_grcat_1 C) (tptp.m1_grcat_1 C A B)) (tptp.m4_grcat_1 (tptp.k1_tarski C) A B))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (forall ((C $$unsorted)) (= (tptp.m5_grcat_1 C A B) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden D C) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (tptp.l1_struct_0 A) (forall ((B $$unsorted)) (=> (tptp.l1_struct_0 B) (= (tptp.k17_grcat_1 A B) (tptp.k1_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m4_grcat_1 C A B) (= (= C (tptp.k18_grcat_1 A B)) (forall ((D $$unsorted)) (= (tptp.r2_hidden D C) (and (tptp.v2_grcat_1 D) (tptp.m1_grcat_1 D A B))))))))))) _let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.r1_grcat_1 A B) (tptp.r1_grcat_1 A C)) (= B C))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (exists ((B $$unsorted)) (and (tptp.r2_hidden B A) (tptp.r1_grcat_1 B tptp.k2_algstr_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (= (= B (tptp.k19_grcat_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.r2_hidden D A) (tptp.r1_grcat_1 D C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.r2_hidden tptp.k2_algstr_1 (tptp.k19_grcat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k19_grcat_1 A)) (and (not (tptp.v3_struct_0 B)) (tptp.v1_rlvect_1 B) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v5_grcat_1 B)) (= (= B (tptp.k20_grcat_1 A)) (forall ((C $$unsorted)) (= (tptp.r2_hidden C B) (exists ((D $$unsorted)) (and (tptp.v1_rlvect_1 D) (tptp.m2_grcat_1 D A) (exists ((E $$unsorted)) (and (tptp.v1_rlvect_1 E) (tptp.m2_grcat_1 E A) (tptp.v2_grcat_1 C) (tptp.m1_grcat_1 C D E)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_grcat_1 B A) (= (tptp.k23_grcat_1 A B) (tptp.k13_grcat_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (= B (tptp.k24_grcat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (=> (tptp.m3_grcat_1 C _let_1) (= (tptp.k8_funct_2 _let_1 A B C) (tptp.k21_grcat_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 A) (tptp.m2_relset_1 B _let_1 A)) (= (= B (tptp.k25_grcat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (=> (tptp.m3_grcat_1 C _let_1) (= (tptp.k8_funct_2 _let_1 A B C) (tptp.k22_grcat_1 A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B A _let_1) (tptp.m2_relset_1 B A _let_1)) (= (= B (tptp.k26_grcat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m2_grcat_1 C A) (= (tptp.k8_funct_2 A (tptp.k20_grcat_1 A) B C) (tptp.k23_grcat_1 A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_grcat_1 B (tptp.k20_grcat_1 A)) (forall ((C $$unsorted)) (=> (tptp.m3_grcat_1 C (tptp.k20_grcat_1 A)) (not (and (= (tptp.k21_grcat_1 A B) (tptp.k22_grcat_1 A C)) (forall ((D $$unsorted)) (=> (and (tptp.v1_rlvect_1 D) (tptp.m2_grcat_1 D A)) (forall ((E $$unsorted)) (=> (and (tptp.v1_rlvect_1 E) (tptp.m2_grcat_1 E A)) (forall ((F $$unsorted)) (=> (and (tptp.v1_rlvect_1 F) (tptp.m2_grcat_1 F A)) (not (and (tptp.m1_grcat_1 B E F) (tptp.m1_grcat_1 C D E))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_grcat_1 B (tptp.k20_grcat_1 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (=> (tptp.m3_grcat_1 C _let_1) (=> (= (tptp.k21_grcat_1 A B) (tptp.k22_grcat_1 A C)) (tptp.r2_hidden (tptp.k15_grcat_1 B C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (=> (and (tptp.v1_funct_1 B) (tptp.m2_relset_1 B (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1)) (= (= B (tptp.k27_grcat_1 A)) (and (forall ((C $$unsorted)) (=> (tptp.m3_grcat_1 C (tptp.k20_grcat_1 A)) (forall ((D $$unsorted)) (=> (tptp.m3_grcat_1 D (tptp.k20_grcat_1 A)) (= (tptp.r2_hidden (tptp.k4_tarski C D) (tptp.k1_relat_1 B)) (= (tptp.k21_grcat_1 A C) (tptp.k22_grcat_1 A D))))))) (forall ((C $$unsorted)) (=> (tptp.m3_grcat_1 C (tptp.k20_grcat_1 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_tarski C D))) (=> (tptp.m3_grcat_1 D (tptp.k20_grcat_1 A)) (=> (tptp.r2_hidden _let_1 (tptp.k1_relat_1 B)) (= (tptp.k1_funct_1 B _let_1) (tptp.k15_grcat_1 C D))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k19_grcat_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (= (tptp.k28_grcat_1 A) (tptp.g1_cat_1 _let_1 (tptp.k20_grcat_1 _let_1) (tptp.k24_grcat_1 _let_1) (tptp.k25_grcat_1 _let_1) (tptp.k27_grcat_1 _let_1) (tptp.k26_grcat_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k28_grcat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k28_grcat_1 A))) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 _let_1)) (= (tptp.r2_hidden (tptp.k4_tarski C B) (tptp.k1_relat_1 (tptp.u5_cat_1 _let_1))) (= (tptp.k2_cat_1 _let_1 C) (tptp.k3_cat_1 _let_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k28_grcat_1 A))) (forall ((C $$unsorted)) (=> (tptp.m3_grcat_1 C (tptp.k20_grcat_1 (tptp.k19_grcat_1 A))) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_cat_1 (tptp.k28_grcat_1 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k28_grcat_1 A))) (let ((_let_2 (tptp.k19_grcat_1 A))) (=> (tptp.m2_grcat_1 E _let_2) (and (tptp.v2_grcat_1 B) (tptp.m3_grcat_1 B (tptp.k20_grcat_1 _let_2)) (tptp.m1_subset_1 C (tptp.u2_cat_1 _let_1)) (tptp.v1_rlvect_1 D) (tptp.m2_grcat_1 D _let_2) (tptp.m1_subset_1 E (tptp.u1_cat_1 _let_1))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_cat_1 (tptp.k28_grcat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k19_grcat_1 A))) (=> (tptp.m2_grcat_1 C _let_1) (=> (= B C) (= (tptp.k5_cat_1 (tptp.k28_grcat_1 A) B) (tptp.k23_grcat_1 _let_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k28_grcat_1 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k19_grcat_1 A))) (let ((_let_2 (tptp.k28_grcat_1 A))) (=> (tptp.m3_grcat_1 C (tptp.k20_grcat_1 _let_1)) (=> (= B C) (and (= (tptp.k2_cat_1 _let_2 B) (tptp.k21_grcat_1 _let_1 C)) (= (tptp.k3_cat_1 _let_2 B) (tptp.k22_grcat_1 _let_1 C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u2_cat_1 (tptp.k28_grcat_1 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u2_cat_1 (tptp.k28_grcat_1 A))) (forall ((D $$unsorted)) (=> (tptp.m3_grcat_1 D (tptp.k20_grcat_1 (tptp.k19_grcat_1 A))) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k28_grcat_1 A))) (let ((_let_2 (tptp.k3_cat_1 _let_1 B))) (let ((_let_3 (= _let_2 (tptp.k3_cat_1 _let_1 C)))) (let ((_let_4 (tptp.k19_grcat_1 A))) (let ((_let_5 (tptp.k22_grcat_1 _let_4 D))) (let ((_let_6 (= _let_5 (tptp.k22_grcat_1 _let_4 E)))) (let ((_let_7 (tptp.k2_cat_1 _let_1 C))) (let ((_let_8 (= (tptp.k2_cat_1 _let_1 B) _let_7))) (let ((_let_9 (tptp.k21_grcat_1 _let_4 E))) (let ((_let_10 (= (tptp.k21_grcat_1 _let_4 D) _let_9))) (let ((_let_11 (= _let_7 _let_2))) (let ((_let_12 (tptp.r2_hidden (tptp.k4_tarski E D) (tptp.k1_relat_1 (tptp.k27_grcat_1 _let_4))))) (let ((_let_13 (= _let_9 _let_5))) (=> (tptp.m3_grcat_1 E (tptp.k20_grcat_1 _let_4)) (=> (and (= B D) (= C E)) (and (=> _let_11 _let_13) (=> _let_13 _let_11) (=> _let_11 _let_12) (=> _let_12 _let_11) (=> _let_11 (= (tptp.k4_cat_1 _let_1 B C) (tptp.k15_grcat_1 E D))) (=> _let_8 _let_10) (=> _let_10 _let_8) (=> _let_3 _let_6) (=> _let_6 _let_3)))))))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.r2_hidden tptp.k2_algstr_1 (tptp.k29_grcat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (= (tptp.k30_grcat_1 A) (tptp.k6_grcat_1 (tptp.k28_grcat_1 A) (tptp.k29_grcat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (= (tptp.u1_cat_1 (tptp.k30_grcat_1 A)) (tptp.k29_grcat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (= (tptp.k32_grcat_1 A) (tptp.k6_grcat_1 (tptp.k30_grcat_1 A) (tptp.k31_grcat_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (= (tptp.u1_cat_1 (tptp.k32_grcat_1 A)) (tptp.k31_grcat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.r2_hidden tptp.k2_algstr_1 (tptp.k31_grcat_1 A)))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.r2_hidden A tptp.f1_s1_grcat_1) (tptp.r2_hidden B tptp.f2_s1_grcat_1) (tptp.p1_s1_grcat_1 A B)) (tptp.r2_hidden (tptp.f4_s1_grcat_1 A B) tptp.f3_s1_grcat_1))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s1_grcat_1 tptp.f2_s1_grcat_1) tptp.f3_s1_grcat_1) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k1_relat_1 A)) (and (tptp.r2_hidden B tptp.f1_s1_grcat_1) (tptp.r2_hidden C tptp.f2_s1_grcat_1) (tptp.p1_s1_grcat_1 B C)))) (forall ((B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.r2_hidden _let_1 (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A _let_1) (tptp.f4_s1_grcat_1 B C)))))))) (=> (forall ((A $$unsorted)) (=> (tptp.m1_subset_1 A tptp.f1_s2_grcat_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f2_s2_grcat_1) (=> (tptp.p1_s2_grcat_1 A B) (tptp.r2_hidden (tptp.f4_s2_grcat_1 A B) tptp.f3_s2_grcat_1)))))) (exists ((A $$unsorted)) (and (tptp.v1_funct_1 A) (tptp.m2_relset_1 A (tptp.k2_zfmisc_1 tptp.f1_s2_grcat_1 tptp.f2_s2_grcat_1) tptp.f3_s2_grcat_1) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_grcat_1) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C tptp.f2_s2_grcat_1) (= (tptp.r2_hidden (tptp.k4_tarski B C) (tptp.k1_relat_1 A)) (tptp.p1_s2_grcat_1 B C)))))) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B tptp.f1_s2_grcat_1) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_tarski B C))) (=> (tptp.m1_subset_1 C tptp.f2_s2_grcat_1) (=> (tptp.r2_hidden _let_1 (tptp.k1_relat_1 A)) (= (tptp.k1_funct_1 A _let_1) (tptp.f4_s2_grcat_1 B C))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_grcat_1 C A B) (and (tptp.v3_grcat_1 C) (tptp.l1_grcat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (exists ((C $$unsorted)) (tptp.m1_grcat_1 C A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m2_grcat_1 B A) (and (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (exists ((B $$unsorted)) (tptp.m2_grcat_1 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (forall ((B $$unsorted)) (= (tptp.m2_grcat_1 B A) (tptp.m1_subset_1 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v5_grcat_1 A)) (forall ((B $$unsorted)) (=> (tptp.m3_grcat_1 B A) (and (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v5_grcat_1 A)) (exists ((B $$unsorted)) (tptp.m3_grcat_1 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v5_grcat_1 A)) (forall ((B $$unsorted)) (= (tptp.m3_grcat_1 B A) (tptp.m1_subset_1 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (forall ((C $$unsorted)) (=> (tptp.m4_grcat_1 C A B) (and (not (tptp.v1_xboole_0 C)) (tptp.v5_grcat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (exists ((C $$unsorted)) (tptp.m4_grcat_1 C A B)))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B)) (exists ((C $$unsorted)) (tptp.m5_grcat_1 C A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (not (tptp.v1_xboole_0 C)) (tptp.m5_grcat_1 C A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m6_grcat_1 D A B C) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.m2_relset_1 D _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (not (tptp.v1_xboole_0 C)) (tptp.m5_grcat_1 C A B)) (exists ((D $$unsorted)) (tptp.m6_grcat_1 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.l1_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l1_struct_0 B) (not (tptp.v1_xboole_0 C)) (tptp.m5_grcat_1 C A B)) (forall ((D $$unsorted)) (= (tptp.m6_grcat_1 D A B C) (tptp.m1_subset_1 D C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (tptp.m4_grcat_1 C A B)) (forall ((D $$unsorted)) (=> (tptp.m7_grcat_1 D A B C) (tptp.m1_grcat_1 D A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (tptp.m4_grcat_1 C A B)) (exists ((D $$unsorted)) (tptp.m7_grcat_1 D A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (tptp.m4_grcat_1 C A B)) (forall ((D $$unsorted)) (= (tptp.m7_grcat_1 D A B C) (tptp.m1_subset_1 D C))))) true (exists ((A $$unsorted)) (tptp.l1_grcat_1 A)) (forall ((A $$unsorted)) (=> (tptp.l1_grcat_1 A) (=> (tptp.v2_grcat_1 A) (= A (tptp.g1_grcat_1 (tptp.u1_grcat_1 A) (tptp.u2_grcat_1 A) (tptp.u3_grcat_1 A)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (tptp.m1_subset_1 (tptp.k1_grcat_1 A B) (tptp.k1_zfmisc_1 (tptp.u2_cat_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_grcat_1 A B))) (let ((_let_2 (tptp.k2_grcat_1 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 B) (tptp.m2_relset_1 _let_2 _let_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_grcat_1 A B))) (let ((_let_2 (tptp.k3_grcat_1 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 B) (tptp.m2_relset_1 _let_2 _let_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_grcat_1 A B))) (let ((_let_2 (tptp.u2_cat_1 A))) (let ((_let_3 (tptp.k4_grcat_1 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (and (tptp.v1_funct_1 _let_3) (tptp.m2_relset_1 _let_3 (tptp.k12_mcart_1 _let_2 _let_2 _let_1 _let_1) _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_grcat_1 A B))) (let ((_let_2 (tptp.k5_grcat_1 A B))) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 B _let_1) (tptp.m2_relset_1 _let_2 B _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (tptp.m3_cat_2 (tptp.k6_grcat_1 A B) A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k7_grcat_1 A))) (=> (tptp.l1_struct_0 A) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k8_grcat_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l2_struct_0 A) (not (tptp.v3_struct_0 B)) (tptp.l2_struct_0 B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k9_grcat_1 A))) (=> (tptp.l1_grcat_1 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.l1_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k10_grcat_1 A))) (=> (tptp.l1_grcat_1 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.l1_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k10_grcat_1 A)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.k9_grcat_1 A)))) (let ((_let_3 (tptp.k11_grcat_1 A))) (=> (tptp.l1_grcat_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (tptp.l1_grcat_1 (tptp.k12_grcat_1 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A)) (tptp.m1_grcat_1 (tptp.k13_grcat_1 A) A A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k14_grcat_1 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (and (tptp.v2_grcat_1 _let_1) (tptp.m1_grcat_1 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (= (tptp.k14_grcat_1 A B) (tptp.k12_grcat_1 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k15_grcat_1 A B))) (=> (and (tptp.v3_grcat_1 A) (tptp.l1_grcat_1 A) (tptp.v3_grcat_1 B) (tptp.l1_grcat_1 B)) (and (tptp.v2_grcat_1 _let_1) (tptp.v3_grcat_1 _let_1) (tptp.l1_grcat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.k16_grcat_1 A B C D E))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C) (tptp.m1_grcat_1 D B C) (tptp.m1_grcat_1 E A B)) (and (tptp.v2_grcat_1 _let_1) (tptp.m1_grcat_1 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (not (tptp.v3_struct_0 C)) (tptp.v4_rlvect_1 C) (tptp.v5_rlvect_1 C) (tptp.v6_rlvect_1 C) (tptp.l1_rlvect_1 C) (tptp.m1_grcat_1 D B C) (tptp.m1_grcat_1 E A B)) (= (tptp.k16_grcat_1 A B C D E) (tptp.k15_grcat_1 D E)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.l1_struct_0 A) (tptp.l1_struct_0 B)) (tptp.m5_grcat_1 (tptp.k17_grcat_1 A B) A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B)) (tptp.m4_grcat_1 (tptp.k18_grcat_1 A B) A B))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (and (not (tptp.v1_xboole_0 _let_1)) (tptp.v5_grcat_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k21_grcat_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A) (tptp.m1_subset_1 B (tptp.k20_grcat_1 A))) (and (tptp.v1_rlvect_1 _let_1) (tptp.m2_grcat_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A) (tptp.m1_subset_1 B (tptp.k20_grcat_1 A))) (= (tptp.k21_grcat_1 A B) (tptp.k9_grcat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k22_grcat_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A) (tptp.m1_subset_1 B (tptp.k20_grcat_1 A))) (and (tptp.v1_rlvect_1 _let_1) (tptp.m2_grcat_1 _let_1 A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A) (tptp.m1_subset_1 B (tptp.k20_grcat_1 A))) (= (tptp.k22_grcat_1 A B) (tptp.k10_grcat_1 B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k23_grcat_1 A B))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A) (tptp.m1_subset_1 B A)) (and (tptp.v2_grcat_1 _let_1) (tptp.m3_grcat_1 _let_1 (tptp.k20_grcat_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (let ((_let_2 (tptp.k24_grcat_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 A) (tptp.m2_relset_1 _let_2 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (let ((_let_2 (tptp.k25_grcat_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 A) (tptp.m2_relset_1 _let_2 _let_1 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (let ((_let_2 (tptp.k26_grcat_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 A _let_1) (tptp.m2_relset_1 _let_2 A _let_1)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k20_grcat_1 A))) (let ((_let_2 (tptp.k27_grcat_1 A))) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v4_grcat_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.m2_relset_1 _let_2 (tptp.k2_zfmisc_1 _let_1 _let_1) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.l1_cat_1 (tptp.k28_grcat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.m1_subset_1 (tptp.k29_grcat_1 A) (tptp.k1_zfmisc_1 (tptp.u1_cat_1 (tptp.k28_grcat_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.m3_cat_2 (tptp.k30_grcat_1 A) (tptp.k28_grcat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.m1_subset_1 (tptp.k31_grcat_1 A) (tptp.k1_zfmisc_1 (tptp.u1_cat_1 (tptp.k30_grcat_1 A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (tptp.m3_cat_2 (tptp.k32_grcat_1 A) (tptp.k30_grcat_1 A)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_grcat_1 A))) (=> (tptp.l1_grcat_1 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.l1_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u2_grcat_1 A))) (=> (tptp.l1_grcat_1 A) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v4_rlvect_1 _let_1) (tptp.v5_rlvect_1 _let_1) (tptp.v6_rlvect_1 _let_1) (tptp.l1_rlvect_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.u2_grcat_1 A)))) (let ((_let_2 (tptp.u1_struct_0 (tptp.u1_grcat_1 A)))) (let ((_let_3 (tptp.u3_grcat_1 A))) (=> (tptp.l1_grcat_1 A) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.g1_grcat_1 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.m1_relset_1 C _let_3 _let_2)) (and (tptp.v2_grcat_1 _let_1) (tptp.l1_grcat_1 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v4_rlvect_1 A) (tptp.v5_rlvect_1 A) (tptp.v6_rlvect_1 A) (tptp.l1_rlvect_1 A) (not (tptp.v3_struct_0 B)) (tptp.v4_rlvect_1 B) (tptp.v5_rlvect_1 B) (tptp.v6_rlvect_1 B) (tptp.l1_rlvect_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m1_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (=> (= (tptp.g1_grcat_1 A B C) (tptp.g1_grcat_1 D E F)) (and (= A D) (= B E) (= C F)))))))) (forall ((A $$unsorted)) (=> (and (tptp.v2_cat_1 A) (tptp.l1_cat_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_cat_1 A)))) (= (tptp.k1_grcat_1 A B) (tptp.k3_tarski (tptp.a_2_0_grcat_1 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (= (tptp.k29_grcat_1 A) (tptp.a_1_0_grcat_1 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v1_xboole_0 A)) (tptp.v1_classes2 A)) (= (tptp.k31_grcat_1 A) (tptp.a_1_1_grcat_1 A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.v2_cat_1 B) (tptp.l1_cat_1 B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_cat_1 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_grcat_1 B C)) (exists ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_cat_1 B))) (and (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1) (= A (tptp.k6_cat_1 B D E)) (tptp.r2_hidden D C) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (= (tptp.r2_hidden A (tptp.a_1_0_grcat_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k28_grcat_1 B))) (= A C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v3_rlvect_1 D) (tptp.v4_rlvect_1 D) (tptp.v5_rlvect_1 D) (tptp.v6_rlvect_1 D) (tptp.l1_rlvect_1 D) (= C D)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.v1_classes2 B)) (= (tptp.r2_hidden A (tptp.a_1_1_grcat_1 B)) (exists ((C $$unsorted)) (and (tptp.m1_subset_1 C (tptp.u1_cat_1 (tptp.k30_grcat_1 B))) (= A C) (exists ((D $$unsorted)) (and (not (tptp.v3_struct_0 D)) (tptp.v3_rlvect_1 D) (tptp.v4_rlvect_1 D) (tptp.v5_rlvect_1 D) (tptp.v6_rlvect_1 D) (tptp.v1_midsp_2 D) (tptp.l1_rlvect_1 D) (= C D)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_group_3 _let_1 A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_group_3 _let_1 A))))) (exists ((A $$unsorted)) (and (tptp.l1_group_1 A) (not (tptp.v3_struct_0 A)) (tptp.v2_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v3_realset2 A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (not (tptp.v1_xboole_0 (tptp.k4_group_6 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.m1_relset_1 C _let_2 _let_1) (not (tptp.v1_xboole_0 C)) (tptp.v1_relat_1 C) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_partfun1 C _let_2 _let_1) (tptp.v1_group_6 C A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k12_group_6 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C A B) (tptp.m1_relset_1 C _let_3 _let_2)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v1_group_1 _let_1) (tptp.v2_group_1 _let_1) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v1_group_3 _let_1 A))))))) (forall ((A $$unsorted)) (=> (not (tptp.v1_xboole_0 A)) (forall ((B $$unsorted)) (=> (not (tptp.v1_xboole_0 B)) (forall ((C $$unsorted)) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C A B) (tptp.m2_relset_1 C A B)) (= (tptp.v2_funct_1 C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D A) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E A) (=> (= (tptp.k8_funct_2 A B C D) (tptp.k8_funct_2 A B C E)) (= D E))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_group_6 D A B) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (=> (= E C) (and (= (tptp.k12_group_2 B D E) (tptp.k12_group_2 A D C)) (= (tptp.k13_group_2 B D E) (tptp.k13_group_2 A D C)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (tptp.m1_group_6 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_group_6 D A B) (= (tptp.k9_group_2 A C D) (tptp.k9_group_2 B C D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_group_1 A B))) (let ((_let_2 (tptp.k2_group_3 A C _let_1))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k1_group_1 A (tptp.k1_group_1 A B C) _let_1) _let_2) (= (tptp.k1_group_1 A B (tptp.k1_group_1 A C _let_1)) _let_2)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_2 A B C))) (let ((_let_2 (tptp.k7_group_4 A B B))) (let ((_let_3 (tptp.k12_group_2 A B C))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (and (= (tptp.k10_group_2 A B _let_3) _let_3) (= (tptp.k3_group_2 A C _let_2) _let_3) (= (tptp.k4_group_2 A C _let_2) _let_1) (= (tptp.k11_group_2 A B _let_1) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.m1_group_2 B A)) (= (tptp.m1_group_6 (tptp.k9_group_5 A) A B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (tptp.r1_rlvect_1 B (tptp.k2_group_5 A C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.m1_group_6 C A B))) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (=> _let_1 (and (tptp.v1_group_3 C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.g1_group_1 (tptp.u1_struct_0 C) (tptp.u1_group_1 C)))) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (=> (tptp.m1_group_6 _let_1 A B) (= (tptp.k1_group_6 A B C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k9_group_2 A C B))) (let ((_let_2 (tptp.k9_group_2 A B C))) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_3 _let_2 B) (tptp.m1_group_6 _let_2 A B) (tptp.v1_group_3 _let_1 B) (tptp.m1_group_6 _let_1 A B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_struct_0 A)) (= (tptp.v3_realset2 A) (exists ((B $$unsorted)) (= (tptp.u1_struct_0 A) (tptp.k1_tarski B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v3_realset2 (tptp.k5_group_2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (= (tptp.v3_realset2 A) (and (= (tptp.k9_group_1 A) tptp.np__1) (tptp.v6_group_1 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (=> (tptp.v3_realset2 A) (= (tptp.k5_group_2 A) A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k4_group_6 A B) (tptp.k14_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A B))) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (and (= _let_1 (tptp.k14_group_2 A B)) (= _let_1 (tptp.k15_group_2 A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (not (and (tptp.r2_hidden B (tptp.k4_group_6 A C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (not (and (= B (tptp.k12_group_2 A C D)) (= B (tptp.k13_group_2 A C D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A C))) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.r2_hidden (tptp.k12_group_2 A C B) _let_1) (tptp.r2_hidden (tptp.k13_group_2 A C B) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (=> (tptp.r2_hidden B (tptp.k4_group_6 A C)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A D))) (=> (and (tptp.v1_group_3 D A) (tptp.m1_group_2 D A)) (=> (and (tptp.r2_hidden B _let_1) (tptp.r2_hidden C _let_1)) (tptp.r2_hidden (tptp.k2_group_2 A B C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k5_group_6 A B)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.k4_group_6 A B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.k4_group_6 A B)) (forall ((F $$unsorted)) (=> (tptp.m1_subset_1 F (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (forall ((G $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A B))) (=> (tptp.m1_subset_1 G (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (= D F) (= E G)) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 C D E) (tptp.k2_group_2 A F G))))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k6_group_6 A B) (tptp.g1_group_1 (tptp.k4_group_6 A B) (tptp.k5_group_6 A B))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.u1_struct_0 (tptp.k6_group_6 A B)) (tptp.k4_group_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.u1_group_1 (tptp.k6_group_6 A B)) (tptp.k5_group_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_group_6 A B))) (= (tptp.k7_group_6 A B C) C))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_group_6 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.k2_group_2 A (tptp.k7_group_6 A B C) (tptp.k7_group_6 A B D)) (tptp.k1_group_1 _let_1 C D))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_group_6 A B))) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (= (tptp.k7_group_6 A B (tptp.k1_group_1 _let_1 C D)) (tptp.k2_group_2 A (tptp.k7_group_6 A B C) (tptp.k7_group_6 A B D)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_group_6 A B))) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= C (tptp.k12_group_2 A B D)) (= C (tptp.k13_group_2 A B D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 (tptp.k6_group_6 A C)))) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.m1_subset_1 (tptp.k13_group_2 A C B) _let_1) (tptp.m1_subset_1 (tptp.k12_group_2 A C B) _let_1) (tptp.m1_subset_1 (tptp.k7_group_2 A C) _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted) (C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.r1_rlvect_1 (tptp.k6_group_6 A C) B) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (= B (tptp.k12_group_2 A C D)) (= B (tptp.k13_group_2 A C D))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k2_group_1 (tptp.k6_group_6 A B)) (tptp.k7_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A C))) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 _let_1)) (=> (= D (tptp.k12_group_2 A C B)) (= (tptp.k3_group_1 _let_1 D) (tptp.k12_group_2 A C (tptp.k3_group_1 A B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (tptp.v6_group_1 (tptp.k6_group_6 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k8_group_1 (tptp.k6_group_6 A B)) (tptp.k16_group_2 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (=> (tptp.v1_finset_1 (tptp.k14_group_2 A B)) (= (tptp.k9_group_1 (tptp.k6_group_6 A B)) (tptp.k17_group_2 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (=> (tptp.m1_group_6 C A B) (tptp.m1_group_2 (tptp.k6_group_6 B (tptp.k1_group_6 A B C)) (tptp.k6_group_6 A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A C))) (let ((_let_2 (tptp.k6_group_6 B (tptp.k1_group_6 A B C)))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (=> (tptp.m1_group_6 C A B) (and (tptp.v1_group_3 _let_2 _let_1) (tptp.m1_group_2 _let_2 _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (and (not (tptp.v3_struct_0 _let_1)) (tptp.v3_group_1 _let_1) (tptp.v4_group_1 _let_1) (tptp.v7_group_1 _let_1) (tptp.l1_group_1 _let_1)) (tptp.m1_group_6 (tptp.k9_group_5 A) A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v1_group_6 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k1_group_1 A D E)) (tptp.k1_group_1 B (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))))))) true true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k2_group_1 A)) (tptp.k2_group_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 D (tptp.k3_group_1 A C)) (tptp.k3_group_1 B (tptp.k8_funct_2 _let_2 _let_1 D C))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E A B) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k2_group_3 A C D)) (tptp.k2_group_3 B (tptp.k8_funct_2 _let_2 _let_1 E C) (tptp.k8_funct_2 _let_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E A B) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k2_group_5 A C D)) (tptp.k2_group_5 B (tptp.k8_funct_2 _let_2 _let_1 E C) (tptp.k8_funct_2 _let_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 F) (tptp.v1_funct_2 F _let_2 _let_1) (tptp.v1_group_6 F A B) (tptp.m2_relset_1 F _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 F (tptp.k3_group_5 A C D E)) (tptp.k3_group_5 B (tptp.k8_funct_2 _let_2 _let_1 F C) (tptp.k8_funct_2 _let_2 _let_1 F D) (tptp.k8_funct_2 _let_2 _let_1 F E))))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.m2_subset_1 A tptp.k1_numbers tptp.k5_numbers) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E B C) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k6_group_1 B A D)) (tptp.k6_group_1 C A (tptp.k8_funct_2 _let_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (=> (tptp.v1_int_1 A) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E B C) (tptp.m2_relset_1 E _let_2 _let_1)) (= (tptp.k8_funct_2 _let_2 _let_1 E (tptp.k6_group_1 B A D)) (tptp.k6_group_1 C A (tptp.k8_funct_2 _let_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k6_partfun1 _let_1))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.v1_group_6 _let_2 A A) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D B A) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k7_funct_2 _let_2 _let_3 _let_1 D E))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_3 _let_1) (tptp.v1_group_6 E A C) (tptp.m2_relset_1 E _let_3 _let_1)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_2 _let_1) (tptp.v1_group_6 _let_4 B C) (tptp.m2_relset_1 _let_4 _let_2 _let_1)))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (= C (tptp.k10_group_6 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C D) (tptp.k2_group_1 B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k10_group_6 A C))) (let ((_let_2 (tptp.u1_struct_0 C))) (let ((_let_3 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_3 _let_2) (tptp.v1_group_6 E B C) (tptp.m2_relset_1 E _let_3 _let_2)) (and (= (tptp.k8_group_6 A B C (tptp.k10_group_6 A B) E) _let_1) (= (tptp.k8_group_6 A B C D (tptp.k10_group_6 B C)) _let_1))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C A _let_1) (tptp.m2_relset_1 C _let_3 _let_2)) (= (= C (tptp.k11_group_6 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 (tptp.k6_group_6 A B)) C D) (tptp.k12_group_2 A B D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.r1_rlvect_1 (tptp.k12_group_6 A B D) C) (= (tptp.k8_funct_2 _let_2 _let_1 D C) (tptp.k2_group_1 B))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.k12_group_6 A B (tptp.k10_group_6 A B)) A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_1 B) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (tptp.r1_group_2 A (tptp.k12_group_6 A (tptp.k6_group_6 A B) (tptp.k11_group_6 A B)) B))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D B)) (= (= D (tptp.k13_group_6 A B C)) (= (tptp.u1_struct_0 D) (tptp.k2_funct_2 _let_1 (tptp.u1_struct_0 B) C _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.k9_group_6 A B C) (tptp.u1_struct_0 (tptp.k13_group_6 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D B A) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.r1_rlvect_1 (tptp.k13_group_6 B A D) C) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (= C (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 A) D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.r1_group_2 B (tptp.k13_group_6 A B C) (tptp.k5_group_4 B (tptp.k9_group_6 A B C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (tptp.r1_group_2 B (tptp.k13_group_6 A B (tptp.k10_group_6 A B)) (tptp.k5_group_2 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (= (tptp.k13_group_6 A _let_1 (tptp.k11_group_6 A B)) _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k13_group_6 B A C))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 B))) (let ((_let_4 (tptp.v1_funct_1 C))) (let ((_let_5 (tptp.u1_struct_0 A))) (=> (and _let_4 (tptp.v1_funct_2 C _let_3 _let_5) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_3 _let_5)) (and _let_4 (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C B _let_1) (tptp.m2_relset_1 C _let_3 _let_2))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v6_group_1 B) (tptp.v6_group_1 (tptp.k13_group_6 B A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.v7_group_1 B) (tptp.l1_group_1 B)) (tptp.v7_group_1 (tptp.k13_group_6 B A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.r1_tarski (tptp.k8_group_1 (tptp.k13_group_6 B A C)) (tptp.k8_group_1 B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v6_group_1 B) (tptp.r1_xreal_0 (tptp.k9_group_1 (tptp.k13_group_6 B A C)) (tptp.k9_group_1 B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_group_6 C A B) (tptp.v2_funct_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_group_6 C A B) (= (tptp.k9_group_6 A B C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.v2_group_6 D A B) (tptp.r1_rlvect_1 (tptp.k13_group_6 A B D) C)) (= (tptp.k1_funct_1 D (tptp.k1_funct_1 (tptp.k2_funct_1 D) C)) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (tptp.v2_group_6 D A B) (= (tptp.k1_funct_1 (tptp.k2_funct_1 D) (tptp.k8_funct_2 _let_2 _let_1 D C)) C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.k13_group_6 B A C))) (let ((_let_3 (tptp.u1_struct_0 _let_2))) (let ((_let_4 (tptp.k2_funct_1 C))) (let ((_let_5 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_5) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_1 _let_5)) (=> (tptp.v2_group_6 C B A) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_1) (tptp.v1_group_6 _let_4 _let_2 B) (tptp.m2_relset_1 _let_4 _let_3 _let_1)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_group_6 C B A) (tptp.r1_group_2 B (tptp.k12_group_6 B A C) (tptp.k5_group_2 B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v3_group_6 C A B) (= (tptp.k13_group_6 A B C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v3_group_6 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E _let_1) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C E) D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (tptp.v3_group_6 (tptp.k11_group_6 A B) A (tptp.k6_group_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v4_group_6 C A B) (and (tptp.v3_group_6 C A B) (tptp.v2_group_6 C A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v4_group_6 C A B) (and (= (tptp.k9_group_6 A B C) _let_1) (tptp.v2_funct_1 C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v4_group_6 C A B) (and (= (tptp.k1_relat_1 C) _let_2) (= (tptp.k9_group_6 A B C) _let_1))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k2_funct_1 C))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_2) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_1 _let_2)) (=> (tptp.v4_group_6 C A B) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_group_6 _let_3 B A) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (=> (and (tptp.v4_group_6 C B A) (= D (tptp.k2_funct_1 C))) (tptp.v4_group_6 D A B)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D A B) (tptp.m2_relset_1 D _let_2 _let_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E B C) (tptp.m2_relset_1 E _let_2 _let_1)) (=> (and (tptp.v4_group_6 D A B) (tptp.v4_group_6 E B C)) (tptp.v4_group_6 (tptp.k8_group_6 A B C D E) A C)))))))))))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k5_group_2 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v4_group_6 (tptp.k11_group_6 A _let_1) A (tptp.k6_group_6 A _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r1_group_6 A B) (exists ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1) (tptp.v4_group_6 C A B)))))))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (tptp.r1_group_6 A B) (tptp.r1_group_6 B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C)) (=> (and (tptp.r1_group_6 A B) (tptp.r1_group_6 B C)) (tptp.r1_group_6 A C)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_group_6 C B A) (tptp.r1_group_6 B (tptp.k13_group_6 B A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.v3_realset2 A) (tptp.v3_realset2 B)) (tptp.r2_group_6 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (tptp.r2_group_6 (tptp.k5_group_2 A) (tptp.k5_group_2 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.r2_group_6 A (tptp.k6_group_6 A (tptp.k5_group_2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (tptp.v3_realset2 (tptp.k6_group_6 A (tptp.k6_group_2 A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (tptp.r2_group_6 A B) (= (tptp.k8_group_1 A) (tptp.k8_group_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.r1_group_6 A B) (tptp.v6_group_1 A)) (tptp.v6_group_1 B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.r2_group_6 A B) (tptp.v6_group_1 A)) (= (tptp.k9_group_1 A) (tptp.k9_group_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (and (tptp.r2_group_6 A B) (tptp.v3_realset2 A)) (tptp.v3_realset2 B)))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.l1_group_1 B))) (let ((_let_2 (tptp.v4_group_1 B))) (let ((_let_3 (tptp.v3_group_1 B))) (let ((_let_4 (not (tptp.v3_struct_0 B)))) (=> (and _let_4 (tptp.v1_group_1 B) _let_3 _let_2 _let_1) (=> (and (tptp.r1_group_6 A B) (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.v7_group_1 A) (tptp.l1_group_1 A)) (and _let_4 _let_3 _let_2 (tptp.v7_group_1 B) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (tptp.r2_group_6 (tptp.k6_group_6 B (tptp.k12_group_6 B A C)) (tptp.k13_group_6 B A C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C B A) (tptp.m2_relset_1 C _let_2 _let_1)) (exists ((D $$unsorted)) (let ((_let_1 (tptp.k12_group_6 B A C))) (let ((_let_2 (tptp.k13_group_6 B A C))) (let ((_let_3 (tptp.k6_group_6 B _let_1))) (let ((_let_4 (tptp.u1_struct_0 _let_2))) (let ((_let_5 (tptp.u1_struct_0 _let_3))) (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_5 _let_4) (tptp.v1_group_6 D _let_3 _let_2) (tptp.m2_relset_1 D _let_5 _let_4) (tptp.v4_group_6 D _let_3 _let_2) (= C (tptp.k8_group_6 B _let_3 _let_2 (tptp.k11_group_6 B _let_1) D))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A C))) (=> (and (tptp.v1_group_1 D) (tptp.v1_group_3 D _let_1) (tptp.m1_group_2 D _let_1)) (=> (and (= D (tptp.k6_group_6 B (tptp.k1_group_6 A B C))) (tptp.m1_group_6 C A B)) (tptp.r2_group_6 (tptp.k6_group_6 _let_1 D) (tptp.k6_group_6 A B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_group_2 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k8_group_4 A B C))) (=> (and (tptp.v1_group_1 C) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (tptp.r2_group_6 (tptp.k6_group_6 _let_1 (tptp.k1_group_6 A _let_1 C)) (tptp.k6_group_6 B (tptp.k2_group_6 A B C)))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (=> (tptp.m1_group_6 C A B) (tptp.m1_group_2 C A))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (exists ((C $$unsorted)) (tptp.m1_group_6 C A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A)) (forall ((C $$unsorted)) (= (tptp.m1_group_6 C A B) (tptp.m1_group_2 C B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (tptp.r1_group_6 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (=> (tptp.r2_group_6 A B) (tptp.r2_group_6 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (tptp.r2_group_6 A A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v1_group_1 A) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v1_group_1 B) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_group_6 A B) (tptp.r1_group_6 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_group_6 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.v1_group_3 _let_1 B) (tptp.m1_group_6 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k2_group_6 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.v1_group_3 _let_1 B) (tptp.m1_group_6 _let_1 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.m1_group_2 B A) (tptp.v1_group_3 C A) (tptp.m1_group_2 C A)) (= (tptp.k2_group_6 A B C) (tptp.k8_group_2 A B C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k3_group_6 A B C))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (and (tptp.v1_group_1 _let_1) (tptp.v1_group_3 _let_1 C) (tptp.m1_group_6 _let_1 A C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A) (tptp.m1_group_2 C A)) (= (tptp.k3_group_6 A B C) (tptp.k8_group_2 A B C)))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k4_group_6 A B))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k5_group_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (tptp.l1_group_1 (tptp.k6_group_6 A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A) (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.k6_group_6 A B)))) (tptp.m1_subset_1 (tptp.k7_group_6 A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k8_group_6 A B C D E))) (let ((_let_4 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_4) (tptp.v1_group_6 D A B) (tptp.m1_relset_1 D _let_2 _let_4) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_4 _let_1) (tptp.v1_group_6 E B C) (tptp.m1_relset_1 E _let_4 _let_1)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_group_6 _let_3 A C) (tptp.m2_relset_1 _let_3 _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_3 _let_2) (tptp.v1_group_6 D A B) (tptp.m1_relset_1 D _let_3 _let_2) (tptp.v1_funct_1 E) (tptp.v1_funct_2 E _let_2 _let_1) (tptp.v1_group_6 E B C) (tptp.m1_relset_1 E _let_2 _let_1)) (= (tptp.k8_group_6 A B C D E) (tptp.k5_relat_1 D E))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m1_relset_1 C _let_2 _let_1)) (tptp.m1_subset_1 (tptp.k9_group_6 A B C) (tptp.k1_zfmisc_1 _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m1_relset_1 C _let_2 _let_1)) (= (tptp.k9_group_6 A B C) (tptp.k2_relat_1 C)))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k10_group_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.v1_group_6 _let_3 A B) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k6_group_6 A B))) (let ((_let_2 (tptp.u1_struct_0 _let_1))) (let ((_let_3 (tptp.u1_struct_0 A))) (let ((_let_4 (tptp.k11_group_6 A B))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (tptp.v1_group_3 B A) (tptp.m1_group_2 B A)) (and (tptp.v1_funct_1 _let_4) (tptp.v1_funct_2 _let_4 _let_3 _let_2) (tptp.v1_group_6 _let_4 A _let_1) (tptp.m2_relset_1 _let_4 _let_3 _let_2)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k12_group_6 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C A B) (tptp.m1_relset_1 C _let_3 _let_2)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 A))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k13_group_6 A B C))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A) (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_3 _let_2) (tptp.v1_group_6 C A B) (tptp.m1_relset_1 C _let_3 _let_2)) (and (tptp.v1_group_1 _let_1) (tptp.m1_group_2 _let_1 B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (= B (tptp.a_1_0_group_6 A)) (tptp.r1_group_2 A (tptp.k9_group_5 A) (tptp.k5_group_4 A B))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v3_group_1 A) (tptp.v4_group_1 A) (tptp.l1_group_1 A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.v1_group_6 C A B) (tptp.m2_relset_1 C _let_2 _let_1)) (forall ((D $$unsorted)) (=> (and (tptp.v1_group_1 D) (tptp.m1_group_2 D A)) (= (= D (tptp.k12_group_6 A B C)) (= (tptp.u1_struct_0 D) (tptp.a_3_0_group_6 A B C))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B)) (= (tptp.r2_hidden A (tptp.a_1_0_group_6 B)) (exists ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 C _let_1) (tptp.m1_subset_1 D _let_1) (= A (tptp.k2_group_5 B C D)))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 C))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v3_group_1 B) (tptp.v4_group_1 B) (tptp.l1_group_1 B) (not (tptp.v3_struct_0 C)) (tptp.v3_group_1 C) (tptp.v4_group_1 C) (tptp.l1_group_1 C) (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_2 _let_1) (tptp.v1_group_6 D B C) (tptp.m2_relset_1 D _let_2 _let_1)) (= (tptp.r2_hidden A (tptp.a_3_0_group_6 B C D)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 E _let_1) (= A E) (= (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 C) D E) (tptp.k2_group_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (and (tptp.m2_lattice4 B A) (not (tptp.v1_xboole_0 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (not (tptp.v1_xboole_0 (tptp.k4_lattice4 A B))))) true true (forall ((A $$unsorted)) (not (and (not (= A tptp.k1_xboole_0)) (forall ((B $$unsorted)) (not (and (not (= B tptp.k1_xboole_0)) (tptp.r1_tarski B A) (tptp.v6_ordinal1 B) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (forall ((D $$unsorted)) (=> (tptp.r2_hidden D B) (tptp.r1_tarski D C))))))))) (forall ((B $$unsorted)) (not (and (tptp.r2_hidden B A) (forall ((C $$unsorted)) (not (and (tptp.r2_hidden C A) (not (= C B)) (tptp.r1_tarski B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.v2_filter_0 (tptp.k1_filter_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k3_filter_0 A (tptp.k1_finsub_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) B C)))) (=> (tptp.m1_filter_0 C A) (and (tptp.r1_tarski B _let_1) (tptp.r1_tarski C _let_1))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_1) (not (and (tptp.r2_hidden C (tptp.k3_filter_0 A (tptp.k1_finsub_1 (tptp.k1_zfmisc_1 _let_1) (tptp.k2_filter_0 A D) B))) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (not (and (tptp.r2_hidden E B) (tptp.r3_lattices A (tptp.k4_lattices A D E) C)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.m1_lattice4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 C E))) (let ((_let_4 (tptp.k8_funct_2 _let_2 _let_1 C D))) (=> (tptp.m1_subset_1 E _let_2) (and (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k3_lattices A D E)) (tptp.k3_lattices B _let_4 _let_3)) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_lattices A D E)) (tptp.k4_lattices B _let_4 _let_3)))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_lattice4 E A B) (=> (tptp.r3_lattices A C D) (tptp.r3_lattices B (tptp.k8_funct_2 _let_2 _let_1 E C) (tptp.k8_funct_2 _let_2 _let_1 E D))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v1_lattice4 C A B) (tptp.v2_funct_1 C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (= (tptp.v2_lattice4 C A B) (= (tptp.k2_relat_1 C) _let_1)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_lattice4 E A B) (=> (tptp.v1_lattice4 E A B) (= (tptp.r3_lattices A C D) (tptp.r3_lattices B (tptp.k8_funct_2 _let_2 _let_1 E C) (tptp.k8_funct_2 _let_2 _let_1 E D)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)) (=> (tptp.v2_lattice4 C A B) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (and (tptp.m1_subset_1 E _let_1) (= D (tptp.k8_funct_2 _let_1 (tptp.u1_struct_0 B) C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C A B) (= (tptp.v3_lattice4 C A B) (and (tptp.v1_lattice4 C A B) (tptp.v2_lattice4 C A B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (= (tptp.r1_filter_1 A B) (exists ((C $$unsorted)) (and (tptp.m1_lattice4 C A B) (tptp.v3_lattice4 C A B)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C A B) (= (tptp.r1_lattice4 A B C) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 E _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_filter_0 A D E)) (tptp.k4_filter_0 B (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C A B) (= (tptp.r2_lattice4 A B C) (= (tptp.k8_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C (tptp.k6_lattices A)) (tptp.k6_lattices B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C A B) (= (tptp.r3_lattice4 A B C) (= (tptp.k8_funct_2 (tptp.u1_struct_0 A) (tptp.u1_struct_0 B) C (tptp.k5_lattices A)) (tptp.k5_lattices B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C A B) (= (tptp.r4_lattice4 A B C) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D _let_2) (= (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k7_lattices A D)) (tptp.k7_lattices B (tptp.k8_funct_2 _let_2 _let_1 C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (= (tptp.m2_lattice4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (and (tptp.r2_hidden (tptp.k4_lattices A C D) B) (tptp.r2_hidden (tptp.k3_lattices A C D) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (tptp.m2_lattice4 (tptp.u1_struct_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_filter_0 B A) (tptp.m2_lattice4 B A))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k1_lattice4 A B) (tptp.k2_lattice2 _let_1 A B (tptp.k7_grcat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k2_lattice4 A B) (tptp.k3_lattice2 _let_1 A B (tptp.k7_grcat_1 A)))))))) true true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k2_lattice4 A B) (tptp.k7_setwiseo _let_1 _let_1 (tptp.u1_lattices A) B (tptp.k7_grcat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k1_lattice4 A B) (tptp.k7_setwiseo _let_1 _let_1 (tptp.u2_lattices A) B (tptp.k7_grcat_1 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k1_lattice4 A (tptp.k2_setwiseo _let_1 B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B _let_1) (= (tptp.k2_lattice4 A (tptp.k2_setwiseo _let_1 B)) B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v11_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (=> (tptp.v2_lattice4 C B A) (tptp.v11_lattices A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v13_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (=> (tptp.v2_lattice4 C B A) (and (tptp.v13_lattices A) (tptp.r3_lattice4 B A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (= (tptp.k2_lattice2 _let_1 A (tptp.k5_setwiseo _let_1 B (tptp.k2_setwiseo _let_1 C)) D) (tptp.k3_lattices A (tptp.k2_lattice2 _let_1 A B D) (tptp.k8_funct_2 _let_1 _let_1 D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k1_lattice4 A (tptp.k5_setwiseo _let_1 B (tptp.k2_setwiseo _let_1 C))) (tptp.k3_lattices A (tptp.k1_lattice4 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 _let_1)) (= (tptp.k3_lattices A (tptp.k1_lattice4 A B) (tptp.k1_lattice4 A C)) (tptp.k1_lattice4 A (tptp.k5_setwiseo _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (= (tptp.k1_lattice4 A (tptp.k1_setwiseo (tptp.u1_struct_0 A))) (tptp.k5_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v13_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (=> (tptp.r2_hidden (tptp.k5_lattices A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C B) (tptp.r2_hidden (tptp.k1_lattice4 A C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v14_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (=> (tptp.v2_lattice4 C B A) (and (tptp.v14_lattices A) (tptp.r2_lattice4 B A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (= (tptp.k2_lattice4 A (tptp.k1_setwiseo (tptp.u1_struct_0 A))) (tptp.k6_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (= (tptp.k3_lattice2 _let_1 A (tptp.k5_setwiseo _let_1 B (tptp.k2_setwiseo _let_1 C)) D) (tptp.k4_lattices A (tptp.k3_lattice2 _let_1 A B D) (tptp.k8_funct_2 _let_1 _let_1 D C)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k2_lattice4 A (tptp.k5_setwiseo _let_1 B (tptp.k2_setwiseo _let_1 C))) (tptp.k4_lattices A (tptp.k2_lattice4 A B) C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_1 _let_1) (tptp.m2_relset_1 C _let_1 _let_1)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 D) (tptp.v1_funct_2 D _let_1 _let_1) (tptp.m2_relset_1 D _let_1 _let_1)) (= (tptp.k3_lattice2 _let_1 A (tptp.k8_setwiseo _let_1 _let_1 C B) D) (tptp.k3_lattice2 _let_1 A B (tptp.k7_funct_2 _let_1 _let_1 _let_1 C D))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 _let_1)) (= (tptp.k4_lattices A (tptp.k2_lattice4 A B) (tptp.k2_lattice4 A C)) (tptp.k2_lattice4 A (tptp.k5_setwiseo _let_1 B C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (=> (tptp.r2_hidden (tptp.k6_lattices A) B) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (=> (tptp.r1_tarski C B) (tptp.r2_hidden (tptp.k2_lattice4 A C) B))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v14_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k3_lattices A (tptp.k2_lattice4 A B) C) (tptp.k2_lattice4 A (tptp.k8_setwiseo _let_1 _let_1 (tptp.k7_funcop_1 _let_1 _let_1 (tptp.u2_lattices A) (tptp.k7_grcat_1 A) C) B)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v3_filter_0 B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (=> (tptp.m1_subset_1 E _let_2) (tptp.r3_lattices A (tptp.k4_lattices A (tptp.k8_funct_2 _let_2 _let_1 C D) (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_filter_0 B D E))) (tptp.k8_funct_2 _let_2 _let_1 C E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v3_filter_0 B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (forall ((E $$unsorted)) (=> (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (forall ((F $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.u1_struct_0 B))) (let ((_let_3 (tptp.k8_funct_2 _let_2 _let_1 C E))) (=> (tptp.m1_subset_1 F _let_2) (=> (and (tptp.v1_lattice4 C B A) (tptp.r3_lattices A (tptp.k4_lattices A (tptp.k8_funct_2 _let_2 _let_1 C D) _let_3) (tptp.k8_funct_2 _let_2 _let_1 C F))) (tptp.r3_lattices A _let_3 (tptp.k8_funct_2 _let_2 _let_1 C (tptp.k4_filter_0 B D F))))))))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v3_filter_0 B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (=> (tptp.v3_lattice4 C B A) (and (tptp.v3_filter_0 A) (tptp.r1_lattice4 B A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (= (tptp.k7_lattices A (tptp.k6_lattices A)) (tptp.k5_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (= (tptp.k7_lattices A (tptp.k5_lattices A)) (tptp.k6_lattices A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (tptp.m1_lattice4 C B A) (=> (tptp.v2_lattice4 C B A) (and (tptp.v17_lattices A) (tptp.r4_lattice4 B A C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.m3_lattice4 B A) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (=> (and (tptp.r2_hidden C B) (tptp.r2_hidden D B)) (and (tptp.r2_hidden (tptp.k4_lattices A C D) B) (tptp.r2_hidden (tptp.k7_lattices A C) B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m3_lattice4 D A) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden C D)) (tptp.r2_hidden (tptp.k3_lattices A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (forall ((D $$unsorted)) (=> (tptp.m3_lattice4 D A) (=> (and (tptp.r2_hidden B D) (tptp.r2_hidden C D)) (tptp.r2_hidden (tptp.k4_filter_0 A B C) D)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (tptp.m3_lattice4 (tptp.u1_struct_0 A) A))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m3_lattice4 B A) (tptp.m2_lattice4 B A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m3_lattice4 C A) (= (= C (tptp.k3_lattice4 A B)) (and (tptp.r1_tarski B C) (forall ((D $$unsorted)) (=> (tptp.m3_lattice4 D A) (=> (tptp.r1_tarski B D) (tptp.r1_tarski C D)))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (=> (and (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.k4_lattice4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 B)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 B)) (= A (tptp.k4_filter_0 B D E)) (tptp.r2_hidden D C) (tptp.r2_hidden E C)))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 A)) (= (tptp.r2_hidden C (tptp.k4_lattice4 A B)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.u1_struct_0 A)) (exists ((E $$unsorted)) (and (tptp.m1_subset_1 E (tptp.u1_struct_0 A)) (= C (tptp.k3_lattices A (tptp.k7_lattices A D) E)) (tptp.r2_hidden D B) (tptp.r2_hidden E B)))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_1 _let_1) (tptp.m2_relset_1 B _let_1 _let_1)) (= (= B (tptp.k5_lattice4 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C _let_1) (= (tptp.k8_funct_2 _let_1 _let_1 B C) (tptp.k7_lattices A C))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_lattice4 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 _let_2)) (= (tptp.k2_lattice2 _let_2 A (tptp.k5_setwiseo _let_2 C (tptp.k2_setwiseo _let_2 B)) _let_1) (tptp.k3_lattices A (tptp.k2_lattice2 _let_2 A C _let_1) (tptp.k7_lattices A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k7_lattices A (tptp.k1_lattice4 A B)) (tptp.k3_lattice2 _let_1 A B (tptp.k5_lattice4 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k5_lattice4 A))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 _let_2)) (= (tptp.k3_lattice2 _let_2 A (tptp.k5_setwiseo _let_2 C (tptp.k2_setwiseo _let_2 B)) _let_1) (tptp.k4_lattices A (tptp.k3_lattice2 _let_2 A C _let_1) (tptp.k7_lattices A B))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1)) (= (tptp.k7_lattices A (tptp.k2_lattice4 A B)) (tptp.k2_lattice2 _let_1 A B (tptp.k5_lattice4 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (=> (and (tptp.r2_hidden (tptp.k5_lattices A) B) (tptp.r2_hidden (tptp.k6_lattices A) B)) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.k5_finsub_1 (tptp.u1_struct_0 A))) (not (and (tptp.r1_tarski C (tptp.k4_lattice4 A B)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (tptp.m1_subset_1 D (tptp.k5_finsub_1 _let_1)) (not (and (tptp.r1_tarski D (tptp.k4_lattice4 A B)) (= (tptp.k2_lattice2 _let_1 A C (tptp.k5_lattice4 A)) (tptp.k2_lattice4 A D)))))))))))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (let ((_let_2 (tptp.u1_struct_0 A))) (=> (tptp.m1_lattice4 C A B) (and (tptp.v1_funct_1 C) (tptp.v1_funct_2 C _let_2 _let_1) (tptp.m2_relset_1 C _let_2 _let_1)))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.l3_lattices B)) (exists ((C $$unsorted)) (tptp.m1_lattice4 C A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m2_lattice4 B A) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m2_lattice4 B A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (tptp.m3_lattice4 B A) (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (exists ((B $$unsorted)) (tptp.m3_lattice4 B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1))) (tptp.m1_subset_1 (tptp.k1_lattice4 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.l3_lattices A) (tptp.m1_subset_1 B (tptp.k5_finsub_1 _let_1))) (tptp.m1_subset_1 (tptp.k2_lattice4 A B) _let_1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (tptp.m3_lattice4 (tptp.k3_lattice4 A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A) (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B _let_1)) (tptp.m1_subset_1 (tptp.k4_lattice4 A B) _let_1)))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 A))) (let ((_let_2 (tptp.k5_lattice4 A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (and (tptp.v1_funct_1 _let_2) (tptp.v1_funct_2 _let_2 _let_1 _let_1) (tptp.m2_relset_1 _let_2 _let_1 _let_1)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))) (= (tptp.k4_lattice4 A B) (tptp.a_2_0_lattice4 A B)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (tptp.l3_lattices A)) (forall ((B $$unsorted)) (=> (and (not (tptp.v1_xboole_0 B)) (tptp.m2_lattice4 B A)) (=> (and (tptp.r2_hidden (tptp.k5_lattices A) B) (tptp.r2_hidden (tptp.k6_lattices A) B)) (= (tptp.a_2_1_lattice4 A B) (tptp.k3_lattice4 A B))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B) (not (tptp.v1_xboole_0 C)) (tptp.m1_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 B)))) (= (tptp.r2_hidden A (tptp.a_2_0_lattice4 B C)) (exists ((D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.u1_struct_0 B))) (and (tptp.m1_subset_1 D _let_1) (tptp.m1_subset_1 E _let_1) (= A (tptp.k4_filter_0 B D E)) (tptp.r2_hidden D C) (tptp.r2_hidden E C))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (tptp.l3_lattices B) (not (tptp.v1_xboole_0 C)) (tptp.m2_lattice4 C B)) (= (tptp.r2_hidden A (tptp.a_2_1_lattice4 B C)) (exists ((D $$unsorted)) (and (tptp.m1_subset_1 D (tptp.k5_finsub_1 (tptp.u1_struct_0 B))) (= A (tptp.k2_lattice4 B D)) (tptp.r1_tarski D (tptp.k4_lattice4 B C))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.v3_struct_0 B)) (tptp.v10_lattices B) (tptp.v17_lattices B) (not (tptp.v3_realset2 B)) (tptp.l3_lattices B)) (= (tptp.r2_hidden A (tptp.a_1_1_lopclset B)) (exists ((C $$unsorted)) (and (tptp.m1_filter_0 C B) (= A C) (tptp.v1_filter_0 C B)))))) _let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (tptp.m1_subset_1 (tptp.k1_lopclset A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m2_subset_1 (tptp.k2_lopclset A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_lopclset A B C) (tptp.k2_lopclset A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_lopclset A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k2_lopclset A B C) (tptp.k2_xboole_0 B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (tptp.m2_subset_1 (tptp.k3_lopclset A B C) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lopclset A B C) (tptp.k3_lopclset A C B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lopclset A B B) B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A) (tptp.m1_subset_1 B _let_1) (tptp.m1_subset_1 C _let_1)) (= (tptp.k3_lopclset A B C) (tptp.k3_xboole_0 B C))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k4_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (let ((_let_3 (tptp.k5_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k6_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (tptp.m1_subset_1 (tptp.k7_lopclset A) (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k8_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (and (tptp.v1_relat_1 _let_1) (tptp.v1_funct_1 _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k1_zfmisc_1 (tptp.k7_lopclset A)))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k9_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (and (tptp.v1_funct_1 _let_3) (tptp.v1_funct_2 _let_3 _let_2 _let_1) (tptp.m2_relset_1 _let_3 _let_2 _let_1))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k9_lopclset A) (tptp.k8_lopclset A)))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.k11_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (and (tptp.v1_pre_topc _let_1) (tptp.v2_pre_topc _let_1) (tptp.l1_pre_topc _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.k12_lopclset A))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (tptp.m1_lattice4 (tptp.k13_lopclset A) A (tptp.k12_lopclset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k13_lopclset A) (tptp.k8_lopclset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.l1_pre_topc A)) (= (tptp.k1_lopclset A) (tptp.a_1_0_lopclset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (not (tptp.v1_xboole_0 (tptp.k1_lopclset A))))) true (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B (tptp.k1_lopclset A)) (tptp.v3_pre_topc B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (tptp.r2_hidden B (tptp.k1_lopclset A)) (tptp.v4_pre_topc B A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A))) (=> (and (tptp.v3_pre_topc B A) (tptp.v4_pre_topc B A)) (tptp.r2_hidden B (tptp.k1_lopclset A))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k4_lopclset A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k1_lopclset A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) _let_1) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 B C D) (tptp.k2_lopclset A C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (let ((_let_2 (tptp.k2_zfmisc_1 _let_1 _let_1))) (=> (and (tptp.v1_funct_1 B) (tptp.v1_funct_2 B _let_2 _let_1) (tptp.m2_relset_1 B _let_2 _let_1)) (= (= B (tptp.k5_lopclset A)) (forall ((C $$unsorted)) (=> (tptp.m2_subset_1 C (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k1_lopclset A)) (forall ((D $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) _let_1) (= (tptp.k2_binop_1 _let_1 _let_1 _let_1 B C D) (tptp.k3_lopclset A C D)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.g3_lattices (tptp.k1_lopclset A) (tptp.k4_lopclset A) (tptp.k5_lopclset A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.g3_lattices (tptp.k1_lopclset A) (tptp.k4_lopclset A) (tptp.k5_lopclset A)))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k1_lopclset A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (tptp.m2_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) _let_1) (=> (and (= B D) (= C E)) (= (tptp.k1_lattices (tptp.g3_lattices _let_1 (tptp.k4_lopclset A) (tptp.k5_lopclset A)) B C) (tptp.k2_lopclset A D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.g3_lattices (tptp.k1_lopclset A) (tptp.k4_lopclset A) (tptp.k5_lopclset A)))) (forall ((C $$unsorted)) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 (tptp.g3_lattices (tptp.k1_lopclset A) (tptp.k4_lopclset A) (tptp.k5_lopclset A)))) (forall ((D $$unsorted)) (=> (tptp.m2_subset_1 D (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k1_lopclset A)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (=> (tptp.m2_subset_1 E (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) _let_1) (=> (and (= B D) (= C E)) (= (tptp.k2_lattices (tptp.g3_lattices _let_1 (tptp.k4_lopclset A) (tptp.k5_lopclset A)) B C) (tptp.k3_lopclset A D E)))))))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.m2_subset_1 (tptp.k1_pre_topc A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k1_lopclset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.m2_subset_1 (tptp.k2_pre_topc A) (tptp.k1_zfmisc_1 (tptp.u1_struct_0 A)) (tptp.k1_lopclset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.k1_lopclset A))) (let ((_let_2 (tptp.u1_struct_0 A))) (let ((_let_3 (tptp.k1_zfmisc_1 _let_2))) (=> (tptp.m2_subset_1 B _let_3 _let_1) (tptp.m2_subset_1 (tptp.k3_subset_1 _let_2 B) _let_3 _let_1)))))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.g3_lattices (tptp.k1_lopclset A) (tptp.k4_lopclset A) (tptp.k5_lopclset A)))) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (and (not (tptp.v3_struct_0 _let_1)) (tptp.v10_lattices _let_1) (tptp.l3_lattices _let_1))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.k6_lopclset A) (tptp.g3_lattices (tptp.k1_lopclset A) (tptp.k4_lopclset A) (tptp.k5_lopclset A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k6_lopclset A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_lopclset A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k3_lattices _let_1 B C) (tptp.k2_xboole_0 B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (forall ((B $$unsorted)) (=> (tptp.m1_subset_1 B (tptp.u1_struct_0 (tptp.k6_lopclset A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.k6_lopclset A))) (=> (tptp.m1_subset_1 C (tptp.u1_struct_0 _let_1)) (= (tptp.k4_lattices _let_1 B C) (tptp.k3_xboole_0 B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (= (tptp.u1_struct_0 (tptp.k6_lopclset A)) (tptp.k1_lopclset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.v17_lattices (tptp.k6_lopclset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.m1_subset_1 (tptp.k2_pre_topc A) (tptp.u1_struct_0 (tptp.k6_lopclset A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v2_pre_topc A) (tptp.l1_pre_topc A)) (tptp.m1_subset_1 (tptp.k1_pre_topc A) (tptp.u1_struct_0 (tptp.k6_lopclset A))))) (exists ((A $$unsorted)) (and (tptp.l3_lattices A) (not (tptp.v3_struct_0 A)) (tptp.v4_lattices A) (tptp.v5_lattices A) (tptp.v6_lattices A) (tptp.v7_lattices A) (tptp.v8_lattices A) (tptp.v9_lattices A) (tptp.v10_lattices A) (tptp.v11_lattices A) (tptp.v12_lattices A) (tptp.v13_lattices A) (tptp.v14_lattices A) (tptp.v15_lattices A) (tptp.v16_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (= (tptp.k7_lopclset A) (tptp.a_1_1_lopclset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.v3_struct_0 A)) (tptp.v10_lattices A) (tptp.v17_lattices A) (not (tptp.v3_realset2 A)) (tptp.l3_lattices A)) (not (tptp.v1_xboole_0 (tptp.k7_lopclset A))))) true _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 143.39/143.89  )
% 143.39/143.89  % SZS output end Proof for LAT288+2
% 143.39/143.89  % cvc5---1.0.5 exiting
% 143.39/143.89  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------